TSTP Solution File: ALG104+1 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : ALG104+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n019.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 18:29:24 EDT 2022
% Result : Theorem 83.55s 83.75s
% Output : Proof 83.92s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : ALG104+1 : TPTP v8.1.0. Released v2.7.0.
% 0.10/0.12 % Command : run_zenon %s %d
% 0.12/0.33 % Computer : n019.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Wed Jun 8 00:33:40 EDT 2022
% 0.12/0.33 % CPUTime :
% 83.55/83.75 (* PROOF-FOUND *)
% 83.55/83.75 % SZS status Theorem
% 83.55/83.75 (* BEGIN-PROOF *)
% 83.55/83.75 % SZS output start Proof
% 83.55/83.75 Theorem co1 : ((((h1 (op1 (e10) (e10))) = (op2 (h1 (e10)) (h1 (e10))))/\(((h1 (op1 (e10) (e11))) = (op2 (h1 (e10)) (h1 (e11))))/\(((h1 (op1 (e10) (e12))) = (op2 (h1 (e10)) (h1 (e12))))/\(((h1 (op1 (e10) (e13))) = (op2 (h1 (e10)) (h1 (e13))))/\(((h1 (op1 (e11) (e10))) = (op2 (h1 (e11)) (h1 (e10))))/\(((h1 (op1 (e11) (e11))) = (op2 (h1 (e11)) (h1 (e11))))/\(((h1 (op1 (e11) (e12))) = (op2 (h1 (e11)) (h1 (e12))))/\(((h1 (op1 (e11) (e13))) = (op2 (h1 (e11)) (h1 (e13))))/\(((h1 (op1 (e12) (e10))) = (op2 (h1 (e12)) (h1 (e10))))/\(((h1 (op1 (e12) (e11))) = (op2 (h1 (e12)) (h1 (e11))))/\(((h1 (op1 (e12) (e12))) = (op2 (h1 (e12)) (h1 (e12))))/\(((h1 (op1 (e12) (e13))) = (op2 (h1 (e12)) (h1 (e13))))/\(((h1 (op1 (e13) (e10))) = (op2 (h1 (e13)) (h1 (e10))))/\(((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))/\(((h1 (op1 (e13) (e12))) = (op2 (h1 (e13)) (h1 (e12))))/\(((h1 (op1 (e13) (e13))) = (op2 (h1 (e13)) (h1 (e13))))/\((((h1 (e10)) = (e20))\/(((h1 (e11)) = (e20))\/(((h1 (e12)) = (e20))\/((h1 (e13)) = (e20)))))/\((((h1 (e10)) = (e21))\/(((h1 (e11)) = (e21))\/(((h1 (e12)) = (e21))\/((h1 (e13)) = (e21)))))/\((((h1 (e10)) = (e22))\/(((h1 (e11)) = (e22))\/(((h1 (e12)) = (e22))\/((h1 (e13)) = (e22)))))/\(((h1 (e10)) = (e23))\/(((h1 (e11)) = (e23))\/(((h1 (e12)) = (e23))\/((h1 (e13)) = (e23))))))))))))))))))))))))\/((((h2 (op1 (e10) (e10))) = (op2 (h2 (e10)) (h2 (e10))))/\(((h2 (op1 (e10) (e11))) = (op2 (h2 (e10)) (h2 (e11))))/\(((h2 (op1 (e10) (e12))) = (op2 (h2 (e10)) (h2 (e12))))/\(((h2 (op1 (e10) (e13))) = (op2 (h2 (e10)) (h2 (e13))))/\(((h2 (op1 (e11) (e10))) = (op2 (h2 (e11)) (h2 (e10))))/\(((h2 (op1 (e11) (e11))) = (op2 (h2 (e11)) (h2 (e11))))/\(((h2 (op1 (e11) (e12))) = (op2 (h2 (e11)) (h2 (e12))))/\(((h2 (op1 (e11) (e13))) = (op2 (h2 (e11)) (h2 (e13))))/\(((h2 (op1 (e12) (e10))) = (op2 (h2 (e12)) (h2 (e10))))/\(((h2 (op1 (e12) (e11))) = (op2 (h2 (e12)) (h2 (e11))))/\(((h2 (op1 (e12) (e12))) = (op2 (h2 (e12)) (h2 (e12))))/\(((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))/\(((h2 (op1 (e13) (e10))) = (op2 (h2 (e13)) (h2 (e10))))/\(((h2 (op1 (e13) (e11))) = (op2 (h2 (e13)) (h2 (e11))))/\(((h2 (op1 (e13) (e12))) = (op2 (h2 (e13)) (h2 (e12))))/\(((h2 (op1 (e13) (e13))) = (op2 (h2 (e13)) (h2 (e13))))/\((((h2 (e10)) = (e20))\/(((h2 (e11)) = (e20))\/(((h2 (e12)) = (e20))\/((h2 (e13)) = (e20)))))/\((((h2 (e10)) = (e21))\/(((h2 (e11)) = (e21))\/(((h2 (e12)) = (e21))\/((h2 (e13)) = (e21)))))/\((((h2 (e10)) = (e22))\/(((h2 (e11)) = (e22))\/(((h2 (e12)) = (e22))\/((h2 (e13)) = (e22)))))/\(((h2 (e10)) = (e23))\/(((h2 (e11)) = (e23))\/(((h2 (e12)) = (e23))\/((h2 (e13)) = (e23))))))))))))))))))))))))\/((((h3 (op1 (e10) (e10))) = (op2 (h3 (e10)) (h3 (e10))))/\(((h3 (op1 (e10) (e11))) = (op2 (h3 (e10)) (h3 (e11))))/\(((h3 (op1 (e10) (e12))) = (op2 (h3 (e10)) (h3 (e12))))/\(((h3 (op1 (e10) (e13))) = (op2 (h3 (e10)) (h3 (e13))))/\(((h3 (op1 (e11) (e10))) = (op2 (h3 (e11)) (h3 (e10))))/\(((h3 (op1 (e11) (e11))) = (op2 (h3 (e11)) (h3 (e11))))/\(((h3 (op1 (e11) (e12))) = (op2 (h3 (e11)) (h3 (e12))))/\(((h3 (op1 (e11) (e13))) = (op2 (h3 (e11)) (h3 (e13))))/\(((h3 (op1 (e12) (e10))) = (op2 (h3 (e12)) (h3 (e10))))/\(((h3 (op1 (e12) (e11))) = (op2 (h3 (e12)) (h3 (e11))))/\(((h3 (op1 (e12) (e12))) = (op2 (h3 (e12)) (h3 (e12))))/\(((h3 (op1 (e12) (e13))) = (op2 (h3 (e12)) (h3 (e13))))/\(((h3 (op1 (e13) (e10))) = (op2 (h3 (e13)) (h3 (e10))))/\(((h3 (op1 (e13) (e11))) = (op2 (h3 (e13)) (h3 (e11))))/\(((h3 (op1 (e13) (e12))) = (op2 (h3 (e13)) (h3 (e12))))/\(((h3 (op1 (e13) (e13))) = (op2 (h3 (e13)) (h3 (e13))))/\((((h3 (e10)) = (e20))\/(((h3 (e11)) = (e20))\/(((h3 (e12)) = (e20))\/((h3 (e13)) = (e20)))))/\((((h3 (e10)) = (e21))\/(((h3 (e11)) = (e21))\/(((h3 (e12)) = (e21))\/((h3 (e13)) = (e21)))))/\((((h3 (e10)) = (e22))\/(((h3 (e11)) = (e22))\/(((h3 (e12)) = (e22))\/((h3 (e13)) = (e22)))))/\(((h3 (e10)) = (e23))\/(((h3 (e11)) = (e23))\/(((h3 (e12)) = (e23))\/((h3 (e13)) = (e23))))))))))))))))))))))))\/(((h4 (op1 (e10) (e10))) = (op2 (h4 (e10)) (h4 (e10))))/\(((h4 (op1 (e10) (e11))) = (op2 (h4 (e10)) (h4 (e11))))/\(((h4 (op1 (e10) (e12))) = (op2 (h4 (e10)) (h4 (e12))))/\(((h4 (op1 (e10) (e13))) = (op2 (h4 (e10)) (h4 (e13))))/\(((h4 (op1 (e11) (e10))) = (op2 (h4 (e11)) (h4 (e10))))/\(((h4 (op1 (e11) (e11))) = (op2 (h4 (e11)) (h4 (e11))))/\(((h4 (op1 (e11) (e12))) = (op2 (h4 (e11)) (h4 (e12))))/\(((h4 (op1 (e11) (e13))) = (op2 (h4 (e11)) (h4 (e13))))/\(((h4 (op1 (e12) (e10))) = (op2 (h4 (e12)) (h4 (e10))))/\(((h4 (op1 (e12) (e11))) = (op2 (h4 (e12)) (h4 (e11))))/\(((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12))))/\(((h4 (op1 (e12) (e13))) = (op2 (h4 (e12)) (h4 (e13))))/\(((h4 (op1 (e13) (e10))) = (op2 (h4 (e13)) (h4 (e10))))/\(((h4 (op1 (e13) (e11))) = (op2 (h4 (e13)) (h4 (e11))))/\(((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))/\(((h4 (op1 (e13) (e13))) = (op2 (h4 (e13)) (h4 (e13))))/\((((h4 (e10)) = (e20))\/(((h4 (e11)) = (e20))\/(((h4 (e12)) = (e20))\/((h4 (e13)) = (e20)))))/\((((h4 (e10)) = (e21))\/(((h4 (e11)) = (e21))\/(((h4 (e12)) = (e21))\/((h4 (e13)) = (e21)))))/\((((h4 (e10)) = (e22))\/(((h4 (e11)) = (e22))\/(((h4 (e12)) = (e22))\/((h4 (e13)) = (e22)))))/\(((h4 (e10)) = (e23))\/(((h4 (e11)) = (e23))\/(((h4 (e12)) = (e23))\/((h4 (e13)) = (e23))))))))))))))))))))))))))).
% 83.55/83.75 Proof.
% 83.55/83.75 assert (zenon_L1_ : (~((e10) = (e10))) -> False).
% 83.55/83.75 do 0 intro. intros zenon_H12.
% 83.55/83.75 apply zenon_H12. apply refl_equal.
% 83.55/83.75 (* end of lemma zenon_L1_ *)
% 83.55/83.75 assert (zenon_L2_ : (~((op1 (e10) (op1 (e10) (op1 (e10) (e10)))) = (op1 (e10) (e11)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> False).
% 83.55/83.75 do 0 intro. intros zenon_H13 zenon_H14.
% 83.55/83.75 cut (((op1 (e10) (op1 (e10) (e10))) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H15].
% 83.55/83.75 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H12].
% 83.55/83.75 congruence.
% 83.55/83.75 apply zenon_H12. apply refl_equal.
% 83.55/83.75 apply zenon_H15. apply sym_equal. exact zenon_H14.
% 83.55/83.75 (* end of lemma zenon_L2_ *)
% 83.55/83.75 assert (zenon_L3_ : (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((op1 (e10) (e10)) = (e13)) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> False).
% 83.55/83.75 do 0 intro. intros zenon_H16 zenon_H17 zenon_H18 zenon_H14.
% 83.55/83.75 cut (((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) = ((op1 (e10) (e10)) = (op1 (e10) (e11)))).
% 83.55/83.75 intro zenon_D_pnotp.
% 83.55/83.75 apply zenon_H16.
% 83.55/83.75 rewrite <- zenon_D_pnotp.
% 83.55/83.75 exact zenon_H17.
% 83.55/83.75 cut (((op1 (e10) (op1 (e10) (op1 (e10) (e10)))) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H13].
% 83.55/83.75 cut (((e13) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H19].
% 83.55/83.75 congruence.
% 83.55/83.75 elim (classic ((op1 (e10) (e10)) = (op1 (e10) (e10)))); [ zenon_intro zenon_H1a | zenon_intro zenon_H1b ].
% 83.55/83.75 cut (((op1 (e10) (e10)) = (op1 (e10) (e10))) = ((e13) = (op1 (e10) (e10)))).
% 83.55/83.75 intro zenon_D_pnotp.
% 83.55/83.75 apply zenon_H19.
% 83.55/83.75 rewrite <- zenon_D_pnotp.
% 83.55/83.75 exact zenon_H1a.
% 83.55/83.75 cut (((op1 (e10) (e10)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H1b].
% 83.55/83.75 cut (((op1 (e10) (e10)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H1c].
% 83.55/83.75 congruence.
% 83.55/83.75 exact (zenon_H1c zenon_H18).
% 83.55/83.75 apply zenon_H1b. apply refl_equal.
% 83.55/83.75 apply zenon_H1b. apply refl_equal.
% 83.55/83.75 apply (zenon_L2_); trivial.
% 83.55/83.75 (* end of lemma zenon_L3_ *)
% 83.55/83.75 assert (zenon_L4_ : ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((op1 (e10) (e12)) = (e13)) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> False).
% 83.55/83.75 do 0 intro. intros zenon_H17 zenon_H1d zenon_H14 zenon_H1e.
% 83.55/83.75 elim (classic ((op1 (e10) (e12)) = (op1 (e10) (e12)))); [ zenon_intro zenon_H1f | zenon_intro zenon_H20 ].
% 83.55/83.75 cut (((op1 (e10) (e12)) = (op1 (e10) (e12))) = ((op1 (e10) (e11)) = (op1 (e10) (e12)))).
% 83.55/83.75 intro zenon_D_pnotp.
% 83.55/83.75 apply zenon_H1e.
% 83.55/83.75 rewrite <- zenon_D_pnotp.
% 83.55/83.75 exact zenon_H1f.
% 83.55/83.75 cut (((op1 (e10) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H20].
% 83.55/83.75 cut (((op1 (e10) (e12)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H21].
% 83.55/83.75 congruence.
% 83.55/83.75 cut (((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) = ((op1 (e10) (e12)) = (op1 (e10) (e11)))).
% 83.55/83.75 intro zenon_D_pnotp.
% 83.55/83.75 apply zenon_H21.
% 83.55/83.75 rewrite <- zenon_D_pnotp.
% 83.55/83.75 exact zenon_H17.
% 83.55/83.75 cut (((op1 (e10) (op1 (e10) (op1 (e10) (e10)))) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H13].
% 83.55/83.75 cut (((e13) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H22].
% 83.55/83.75 congruence.
% 83.55/83.75 elim (classic ((op1 (e10) (e12)) = (op1 (e10) (e12)))); [ zenon_intro zenon_H1f | zenon_intro zenon_H20 ].
% 83.55/83.75 cut (((op1 (e10) (e12)) = (op1 (e10) (e12))) = ((e13) = (op1 (e10) (e12)))).
% 83.55/83.75 intro zenon_D_pnotp.
% 83.55/83.75 apply zenon_H22.
% 83.55/83.75 rewrite <- zenon_D_pnotp.
% 83.55/83.75 exact zenon_H1f.
% 83.55/83.75 cut (((op1 (e10) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H20].
% 83.55/83.75 cut (((op1 (e10) (e12)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H23].
% 83.55/83.75 congruence.
% 83.55/83.75 exact (zenon_H23 zenon_H1d).
% 83.55/83.75 apply zenon_H20. apply refl_equal.
% 83.55/83.75 apply zenon_H20. apply refl_equal.
% 83.55/83.75 apply (zenon_L2_); trivial.
% 83.55/83.75 apply zenon_H20. apply refl_equal.
% 83.55/83.75 apply zenon_H20. apply refl_equal.
% 83.55/83.75 (* end of lemma zenon_L4_ *)
% 83.55/83.75 assert (zenon_L5_ : ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((op1 (e10) (e13)) = (e13)) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 83.55/83.75 do 0 intro. intros zenon_H17 zenon_H24 zenon_H14 zenon_H25.
% 83.55/83.75 elim (classic ((op1 (e10) (e13)) = (op1 (e10) (e13)))); [ zenon_intro zenon_H26 | zenon_intro zenon_H27 ].
% 83.55/83.75 cut (((op1 (e10) (e13)) = (op1 (e10) (e13))) = ((op1 (e10) (e11)) = (op1 (e10) (e13)))).
% 83.55/83.75 intro zenon_D_pnotp.
% 83.55/83.75 apply zenon_H25.
% 83.55/83.75 rewrite <- zenon_D_pnotp.
% 83.55/83.75 exact zenon_H26.
% 83.55/83.75 cut (((op1 (e10) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H27].
% 83.55/83.75 cut (((op1 (e10) (e13)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H28].
% 83.55/83.75 congruence.
% 83.55/83.75 cut (((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) = ((op1 (e10) (e13)) = (op1 (e10) (e11)))).
% 83.55/83.75 intro zenon_D_pnotp.
% 83.55/83.75 apply zenon_H28.
% 83.55/83.75 rewrite <- zenon_D_pnotp.
% 83.55/83.75 exact zenon_H17.
% 83.55/83.75 cut (((op1 (e10) (op1 (e10) (op1 (e10) (e10)))) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H13].
% 83.55/83.75 cut (((e13) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H29].
% 83.55/83.75 congruence.
% 83.55/83.75 elim (classic ((op1 (e10) (e13)) = (op1 (e10) (e13)))); [ zenon_intro zenon_H26 | zenon_intro zenon_H27 ].
% 83.55/83.75 cut (((op1 (e10) (e13)) = (op1 (e10) (e13))) = ((e13) = (op1 (e10) (e13)))).
% 83.55/83.75 intro zenon_D_pnotp.
% 83.55/83.75 apply zenon_H29.
% 83.55/83.75 rewrite <- zenon_D_pnotp.
% 83.55/83.75 exact zenon_H26.
% 83.55/83.75 cut (((op1 (e10) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H27].
% 83.55/83.75 cut (((op1 (e10) (e13)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H2a].
% 83.55/83.75 congruence.
% 83.55/83.75 exact (zenon_H2a zenon_H24).
% 83.55/83.75 apply zenon_H27. apply refl_equal.
% 83.55/83.75 apply zenon_H27. apply refl_equal.
% 83.55/83.75 apply (zenon_L2_); trivial.
% 83.55/83.75 apply zenon_H27. apply refl_equal.
% 83.55/83.75 apply zenon_H27. apply refl_equal.
% 83.55/83.75 (* end of lemma zenon_L5_ *)
% 83.55/83.75 assert (zenon_L6_ : (~((e12) = (e12))) -> False).
% 83.55/83.75 do 0 intro. intros zenon_H2b.
% 83.55/83.75 apply zenon_H2b. apply refl_equal.
% 83.55/83.75 (* end of lemma zenon_L6_ *)
% 83.55/83.75 assert (zenon_L7_ : ((e12) = (op1 (e10) (e10))) -> ((op1 (e10) (e10)) = (e11)) -> (~((e11) = (e12))) -> False).
% 83.55/83.75 do 0 intro. intros zenon_H2c zenon_H2d zenon_H2e.
% 83.55/83.75 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H2f | zenon_intro zenon_H2b ].
% 83.55/83.75 cut (((e12) = (e12)) = ((e11) = (e12))).
% 83.55/83.75 intro zenon_D_pnotp.
% 83.55/83.75 apply zenon_H2e.
% 83.55/83.75 rewrite <- zenon_D_pnotp.
% 83.55/83.75 exact zenon_H2f.
% 83.55/83.75 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2b].
% 83.55/83.75 cut (((e12) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H30].
% 83.55/83.75 congruence.
% 83.55/83.75 cut (((e12) = (op1 (e10) (e10))) = ((e12) = (e11))).
% 83.55/83.75 intro zenon_D_pnotp.
% 83.55/83.75 apply zenon_H30.
% 83.55/83.75 rewrite <- zenon_D_pnotp.
% 83.55/83.75 exact zenon_H2c.
% 83.55/83.75 cut (((op1 (e10) (e10)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H31].
% 83.55/83.75 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2b].
% 83.55/83.75 congruence.
% 83.55/83.75 apply zenon_H2b. apply refl_equal.
% 83.55/83.75 exact (zenon_H31 zenon_H2d).
% 83.55/83.75 apply zenon_H2b. apply refl_equal.
% 83.55/83.75 apply zenon_H2b. apply refl_equal.
% 83.55/83.75 (* end of lemma zenon_L7_ *)
% 83.55/83.75 assert (zenon_L8_ : (~((op1 (e10) (op1 (e10) (e10))) = (op1 (e10) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> False).
% 83.55/83.75 do 0 intro. intros zenon_H32 zenon_H2c.
% 83.55/83.75 cut (((op1 (e10) (e10)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H33].
% 83.55/83.75 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H12].
% 83.55/83.75 congruence.
% 83.55/83.75 apply zenon_H12. apply refl_equal.
% 83.55/83.75 apply zenon_H33. apply sym_equal. exact zenon_H2c.
% 83.55/83.75 (* end of lemma zenon_L8_ *)
% 83.55/83.75 assert (zenon_L9_ : (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((op1 (e10) (e11)) = (e11)) -> ((e12) = (op1 (e10) (e10))) -> False).
% 83.55/83.75 do 0 intro. intros zenon_H1e zenon_H14 zenon_H34 zenon_H2c.
% 83.55/83.75 cut (((e11) = (op1 (e10) (op1 (e10) (e10)))) = ((op1 (e10) (e11)) = (op1 (e10) (e12)))).
% 83.55/83.75 intro zenon_D_pnotp.
% 83.55/83.75 apply zenon_H1e.
% 83.55/83.75 rewrite <- zenon_D_pnotp.
% 83.55/83.75 exact zenon_H14.
% 83.55/83.75 cut (((op1 (e10) (op1 (e10) (e10))) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H32].
% 83.55/83.75 cut (((e11) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H35].
% 83.55/83.75 congruence.
% 83.55/83.75 elim (classic ((op1 (e10) (e11)) = (op1 (e10) (e11)))); [ zenon_intro zenon_H36 | zenon_intro zenon_H37 ].
% 83.55/83.75 cut (((op1 (e10) (e11)) = (op1 (e10) (e11))) = ((e11) = (op1 (e10) (e11)))).
% 83.55/83.75 intro zenon_D_pnotp.
% 83.55/83.75 apply zenon_H35.
% 83.55/83.75 rewrite <- zenon_D_pnotp.
% 83.55/83.75 exact zenon_H36.
% 83.55/83.75 cut (((op1 (e10) (e11)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H37].
% 83.55/83.75 cut (((op1 (e10) (e11)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H38].
% 83.55/83.75 congruence.
% 83.55/83.75 exact (zenon_H38 zenon_H34).
% 83.55/83.75 apply zenon_H37. apply refl_equal.
% 83.55/83.75 apply zenon_H37. apply refl_equal.
% 83.55/83.75 apply (zenon_L8_); trivial.
% 83.55/83.75 (* end of lemma zenon_L9_ *)
% 83.55/83.75 assert (zenon_L10_ : ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((op1 (e10) (e13)) = (e11)) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> False).
% 83.55/83.75 do 0 intro. intros zenon_H14 zenon_H39 zenon_H2c zenon_H3a.
% 83.55/83.75 elim (classic ((op1 (e10) (e13)) = (op1 (e10) (e13)))); [ zenon_intro zenon_H26 | zenon_intro zenon_H27 ].
% 83.55/83.75 cut (((op1 (e10) (e13)) = (op1 (e10) (e13))) = ((op1 (e10) (e12)) = (op1 (e10) (e13)))).
% 83.55/83.75 intro zenon_D_pnotp.
% 83.55/83.75 apply zenon_H3a.
% 83.55/83.75 rewrite <- zenon_D_pnotp.
% 83.55/83.75 exact zenon_H26.
% 83.55/83.75 cut (((op1 (e10) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H27].
% 83.55/83.75 cut (((op1 (e10) (e13)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H3b].
% 83.55/83.75 congruence.
% 83.55/83.75 cut (((e11) = (op1 (e10) (op1 (e10) (e10)))) = ((op1 (e10) (e13)) = (op1 (e10) (e12)))).
% 83.55/83.75 intro zenon_D_pnotp.
% 83.55/83.75 apply zenon_H3b.
% 83.55/83.75 rewrite <- zenon_D_pnotp.
% 83.55/83.75 exact zenon_H14.
% 83.55/83.75 cut (((op1 (e10) (op1 (e10) (e10))) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H32].
% 83.55/83.75 cut (((e11) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H3c].
% 83.55/83.75 congruence.
% 83.55/83.75 elim (classic ((op1 (e10) (e13)) = (op1 (e10) (e13)))); [ zenon_intro zenon_H26 | zenon_intro zenon_H27 ].
% 83.55/83.75 cut (((op1 (e10) (e13)) = (op1 (e10) (e13))) = ((e11) = (op1 (e10) (e13)))).
% 83.55/83.75 intro zenon_D_pnotp.
% 83.55/83.75 apply zenon_H3c.
% 83.55/83.75 rewrite <- zenon_D_pnotp.
% 83.55/83.75 exact zenon_H26.
% 83.55/83.75 cut (((op1 (e10) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H27].
% 83.55/83.75 cut (((op1 (e10) (e13)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H3d].
% 83.55/83.75 congruence.
% 83.55/83.75 exact (zenon_H3d zenon_H39).
% 83.55/83.75 apply zenon_H27. apply refl_equal.
% 83.55/83.75 apply zenon_H27. apply refl_equal.
% 83.55/83.75 apply (zenon_L8_); trivial.
% 83.55/83.75 apply zenon_H27. apply refl_equal.
% 83.55/83.75 apply zenon_H27. apply refl_equal.
% 83.55/83.75 (* end of lemma zenon_L10_ *)
% 83.55/83.75 assert (zenon_L11_ : ((e12) = (op1 (e10) (e10))) -> ((op1 (e10) (e10)) = (e10)) -> (~((e10) = (e12))) -> False).
% 83.55/83.75 do 0 intro. intros zenon_H2c zenon_H3e zenon_H3f.
% 83.55/83.75 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H2f | zenon_intro zenon_H2b ].
% 83.55/83.75 cut (((e12) = (e12)) = ((e10) = (e12))).
% 83.55/83.75 intro zenon_D_pnotp.
% 83.55/83.75 apply zenon_H3f.
% 83.55/83.75 rewrite <- zenon_D_pnotp.
% 83.55/83.75 exact zenon_H2f.
% 83.55/83.75 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2b].
% 83.55/83.75 cut (((e12) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H40].
% 83.55/83.75 congruence.
% 83.55/83.75 cut (((e12) = (op1 (e10) (e10))) = ((e12) = (e10))).
% 83.55/83.75 intro zenon_D_pnotp.
% 83.55/83.75 apply zenon_H40.
% 83.55/83.75 rewrite <- zenon_D_pnotp.
% 83.55/83.75 exact zenon_H2c.
% 83.55/83.75 cut (((op1 (e10) (e10)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H41].
% 83.55/83.75 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2b].
% 83.55/83.75 congruence.
% 83.55/83.75 apply zenon_H2b. apply refl_equal.
% 83.55/83.75 exact (zenon_H41 zenon_H3e).
% 83.55/83.75 apply zenon_H2b. apply refl_equal.
% 83.55/83.75 apply zenon_H2b. apply refl_equal.
% 83.55/83.75 (* end of lemma zenon_L11_ *)
% 83.55/83.75 assert (zenon_L12_ : ((op1 (e10) (e13)) = (e10)) -> ((op1 (e10) (e11)) = (e10)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 83.55/83.75 do 0 intro. intros zenon_H42 zenon_H43 zenon_H25.
% 83.55/83.75 elim (classic ((op1 (e10) (e13)) = (op1 (e10) (e13)))); [ zenon_intro zenon_H26 | zenon_intro zenon_H27 ].
% 83.55/83.75 cut (((op1 (e10) (e13)) = (op1 (e10) (e13))) = ((op1 (e10) (e11)) = (op1 (e10) (e13)))).
% 83.55/83.75 intro zenon_D_pnotp.
% 83.55/83.75 apply zenon_H25.
% 83.55/83.75 rewrite <- zenon_D_pnotp.
% 83.55/83.75 exact zenon_H26.
% 83.55/83.75 cut (((op1 (e10) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H27].
% 83.55/83.75 cut (((op1 (e10) (e13)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H28].
% 83.55/83.75 congruence.
% 83.55/83.75 cut (((op1 (e10) (e13)) = (e10)) = ((op1 (e10) (e13)) = (op1 (e10) (e11)))).
% 83.55/83.75 intro zenon_D_pnotp.
% 83.55/83.75 apply zenon_H28.
% 83.55/83.75 rewrite <- zenon_D_pnotp.
% 83.55/83.75 exact zenon_H42.
% 83.55/83.75 cut (((e10) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H44].
% 83.55/83.75 cut (((op1 (e10) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H27].
% 83.55/83.75 congruence.
% 83.55/83.75 apply zenon_H27. apply refl_equal.
% 83.55/83.75 apply zenon_H44. apply sym_equal. exact zenon_H43.
% 83.55/83.75 apply zenon_H27. apply refl_equal.
% 83.55/83.75 apply zenon_H27. apply refl_equal.
% 83.55/83.75 (* end of lemma zenon_L12_ *)
% 83.55/83.75 assert (zenon_L13_ : (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e10) (e13)) = (e10)) -> ((op1 (e11) (e13)) = (e10)) -> False).
% 83.55/83.75 do 0 intro. intros zenon_H45 zenon_H42 zenon_H46.
% 83.55/83.75 cut (((op1 (e10) (e13)) = (e10)) = ((op1 (e10) (e13)) = (op1 (e11) (e13)))).
% 83.55/83.75 intro zenon_D_pnotp.
% 83.55/83.75 apply zenon_H45.
% 83.55/83.75 rewrite <- zenon_D_pnotp.
% 83.55/83.75 exact zenon_H42.
% 83.55/83.75 cut (((e10) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H47].
% 83.55/83.75 cut (((op1 (e10) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H27].
% 83.55/83.75 congruence.
% 83.55/83.75 apply zenon_H27. apply refl_equal.
% 83.55/83.75 apply zenon_H47. apply sym_equal. exact zenon_H46.
% 83.55/83.75 (* end of lemma zenon_L13_ *)
% 83.55/83.75 assert (zenon_L14_ : ((e12) = (op1 (e10) (e10))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> False).
% 83.55/83.75 do 0 intro. intros zenon_H2c zenon_H48 zenon_H49.
% 83.55/83.75 elim (classic ((op1 (e10) (e13)) = (op1 (e10) (e13)))); [ zenon_intro zenon_H26 | zenon_intro zenon_H27 ].
% 83.55/83.75 cut (((op1 (e10) (e13)) = (op1 (e10) (e13))) = ((op1 (e10) (e10)) = (op1 (e10) (e13)))).
% 83.55/83.75 intro zenon_D_pnotp.
% 83.55/83.75 apply zenon_H49.
% 83.55/83.75 rewrite <- zenon_D_pnotp.
% 83.55/83.75 exact zenon_H26.
% 83.55/83.75 cut (((op1 (e10) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H27].
% 83.55/83.75 cut (((op1 (e10) (e13)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H4a].
% 83.55/83.75 congruence.
% 83.55/83.75 cut (((e12) = (op1 (e10) (e10))) = ((op1 (e10) (e13)) = (op1 (e10) (e10)))).
% 83.55/83.75 intro zenon_D_pnotp.
% 83.55/83.75 apply zenon_H4a.
% 83.55/83.75 rewrite <- zenon_D_pnotp.
% 83.55/83.75 exact zenon_H2c.
% 83.55/83.75 cut (((op1 (e10) (e10)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H1b].
% 83.55/83.75 cut (((e12) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H4b].
% 83.55/83.75 congruence.
% 83.55/83.75 elim (classic ((op1 (e10) (e13)) = (op1 (e10) (e13)))); [ zenon_intro zenon_H26 | zenon_intro zenon_H27 ].
% 83.55/83.75 cut (((op1 (e10) (e13)) = (op1 (e10) (e13))) = ((e12) = (op1 (e10) (e13)))).
% 83.55/83.75 intro zenon_D_pnotp.
% 83.55/83.75 apply zenon_H4b.
% 83.55/83.75 rewrite <- zenon_D_pnotp.
% 83.55/83.75 exact zenon_H26.
% 83.55/83.75 cut (((op1 (e10) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H27].
% 83.55/83.75 cut (((op1 (e10) (e13)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H4c].
% 83.55/83.75 congruence.
% 83.55/83.75 exact (zenon_H4c zenon_H48).
% 83.55/83.75 apply zenon_H27. apply refl_equal.
% 83.55/83.75 apply zenon_H27. apply refl_equal.
% 83.55/83.75 apply zenon_H1b. apply refl_equal.
% 83.55/83.75 apply zenon_H27. apply refl_equal.
% 83.55/83.75 apply zenon_H27. apply refl_equal.
% 83.55/83.75 (* end of lemma zenon_L14_ *)
% 83.55/83.75 assert (zenon_L15_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 83.55/83.75 do 0 intro. intros zenon_H4d zenon_H46 zenon_H45 zenon_H3a zenon_H49 zenon_H2c zenon_H17 zenon_H14 zenon_H25.
% 83.55/83.75 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H42 | zenon_intro zenon_H4e ].
% 83.55/83.75 apply (zenon_L13_); trivial.
% 83.55/83.75 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 83.55/83.75 apply (zenon_L10_); trivial.
% 83.55/83.75 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H48 | zenon_intro zenon_H24 ].
% 83.55/83.75 apply (zenon_L14_); trivial.
% 83.55/83.75 apply (zenon_L5_); trivial.
% 83.55/83.75 (* end of lemma zenon_L15_ *)
% 83.55/83.75 assert (zenon_L16_ : (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e10)) -> ((op1 (e12) (e13)) = (e10)) -> False).
% 83.55/83.75 do 0 intro. intros zenon_H50 zenon_H42 zenon_H51.
% 83.55/83.75 cut (((op1 (e10) (e13)) = (e10)) = ((op1 (e10) (e13)) = (op1 (e12) (e13)))).
% 83.55/83.75 intro zenon_D_pnotp.
% 83.55/83.75 apply zenon_H50.
% 83.55/83.75 rewrite <- zenon_D_pnotp.
% 83.55/83.75 exact zenon_H42.
% 83.55/83.75 cut (((e10) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H52].
% 83.55/83.75 cut (((op1 (e10) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H27].
% 83.55/83.75 congruence.
% 83.55/83.75 apply zenon_H27. apply refl_equal.
% 83.55/83.75 apply zenon_H52. apply sym_equal. exact zenon_H51.
% 83.55/83.75 (* end of lemma zenon_L16_ *)
% 83.55/83.75 assert (zenon_L17_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (e12) (e13)) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 83.55/83.75 do 0 intro. intros zenon_H4d zenon_H51 zenon_H50 zenon_H3a zenon_H49 zenon_H2c zenon_H17 zenon_H14 zenon_H25.
% 83.55/83.75 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H42 | zenon_intro zenon_H4e ].
% 83.55/83.75 apply (zenon_L16_); trivial.
% 83.55/83.75 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 83.55/83.75 apply (zenon_L10_); trivial.
% 83.55/83.75 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H48 | zenon_intro zenon_H24 ].
% 83.55/83.75 apply (zenon_L14_); trivial.
% 83.55/83.75 apply (zenon_L5_); trivial.
% 83.55/83.75 (* end of lemma zenon_L17_ *)
% 83.55/83.75 assert (zenon_L18_ : (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e10)) -> ((op1 (e13) (e13)) = (e10)) -> False).
% 83.55/83.75 do 0 intro. intros zenon_H53 zenon_H42 zenon_H54.
% 83.55/83.75 cut (((op1 (e10) (e13)) = (e10)) = ((op1 (e10) (e13)) = (op1 (e13) (e13)))).
% 83.55/83.75 intro zenon_D_pnotp.
% 83.55/83.75 apply zenon_H53.
% 83.55/83.75 rewrite <- zenon_D_pnotp.
% 83.55/83.75 exact zenon_H42.
% 83.55/83.75 cut (((e10) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H55].
% 83.55/83.75 cut (((op1 (e10) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H27].
% 83.55/83.75 congruence.
% 83.55/83.75 apply zenon_H27. apply refl_equal.
% 83.55/83.75 apply zenon_H55. apply sym_equal. exact zenon_H54.
% 83.55/83.75 (* end of lemma zenon_L18_ *)
% 83.55/83.75 assert (zenon_L19_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (e13) (e13)) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 83.55/83.75 do 0 intro. intros zenon_H4d zenon_H54 zenon_H53 zenon_H3a zenon_H49 zenon_H2c zenon_H17 zenon_H14 zenon_H25.
% 83.55/83.75 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H42 | zenon_intro zenon_H4e ].
% 83.55/83.75 apply (zenon_L18_); trivial.
% 83.55/83.75 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 83.55/83.75 apply (zenon_L10_); trivial.
% 83.55/83.75 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H48 | zenon_intro zenon_H24 ].
% 83.55/83.75 apply (zenon_L14_); trivial.
% 83.55/83.75 apply (zenon_L5_); trivial.
% 83.55/83.75 (* end of lemma zenon_L19_ *)
% 83.55/83.75 assert (zenon_L20_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e10) (e11)) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 83.55/83.75 do 0 intro. intros zenon_H56 zenon_H43 zenon_H45 zenon_H50 zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H2c zenon_H17 zenon_H14 zenon_H25.
% 83.55/83.75 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H42 | zenon_intro zenon_H57 ].
% 83.55/83.75 apply (zenon_L12_); trivial.
% 83.55/83.75 apply (zenon_or_s _ _ zenon_H57); [ zenon_intro zenon_H46 | zenon_intro zenon_H58 ].
% 83.55/83.75 apply (zenon_L15_); trivial.
% 83.55/83.75 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H51 | zenon_intro zenon_H54 ].
% 83.55/83.75 apply (zenon_L17_); trivial.
% 83.55/83.75 apply (zenon_L19_); trivial.
% 83.55/83.75 (* end of lemma zenon_L20_ *)
% 83.55/83.75 assert (zenon_L21_ : ((op1 (e10) (e13)) = (e10)) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> False).
% 83.55/83.75 do 0 intro. intros zenon_H42 zenon_H59 zenon_H3a.
% 83.55/83.75 elim (classic ((op1 (e10) (e13)) = (op1 (e10) (e13)))); [ zenon_intro zenon_H26 | zenon_intro zenon_H27 ].
% 83.55/83.75 cut (((op1 (e10) (e13)) = (op1 (e10) (e13))) = ((op1 (e10) (e12)) = (op1 (e10) (e13)))).
% 83.55/83.75 intro zenon_D_pnotp.
% 83.55/83.75 apply zenon_H3a.
% 83.55/83.75 rewrite <- zenon_D_pnotp.
% 83.55/83.75 exact zenon_H26.
% 83.55/83.75 cut (((op1 (e10) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H27].
% 83.55/83.75 cut (((op1 (e10) (e13)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H3b].
% 83.55/83.75 congruence.
% 83.55/83.75 cut (((op1 (e10) (e13)) = (e10)) = ((op1 (e10) (e13)) = (op1 (e10) (e12)))).
% 83.55/83.75 intro zenon_D_pnotp.
% 83.55/83.75 apply zenon_H3b.
% 83.55/83.75 rewrite <- zenon_D_pnotp.
% 83.55/83.75 exact zenon_H42.
% 83.55/83.75 cut (((e10) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H5a].
% 83.55/83.75 cut (((op1 (e10) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H27].
% 83.55/83.75 congruence.
% 83.55/83.75 apply zenon_H27. apply refl_equal.
% 83.55/83.75 apply zenon_H5a. apply sym_equal. exact zenon_H59.
% 83.55/83.75 apply zenon_H27. apply refl_equal.
% 83.55/83.75 apply zenon_H27. apply refl_equal.
% 83.55/83.75 (* end of lemma zenon_L21_ *)
% 83.55/83.75 assert (zenon_L22_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 83.55/83.75 do 0 intro. intros zenon_H56 zenon_H59 zenon_H45 zenon_H50 zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H2c zenon_H17 zenon_H14 zenon_H25.
% 83.55/83.75 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H42 | zenon_intro zenon_H57 ].
% 83.55/83.75 apply (zenon_L21_); trivial.
% 83.55/83.75 apply (zenon_or_s _ _ zenon_H57); [ zenon_intro zenon_H46 | zenon_intro zenon_H58 ].
% 83.55/83.75 apply (zenon_L15_); trivial.
% 83.55/83.75 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H51 | zenon_intro zenon_H54 ].
% 83.55/83.75 apply (zenon_L17_); trivial.
% 83.55/83.75 apply (zenon_L19_); trivial.
% 83.55/83.75 (* end of lemma zenon_L22_ *)
% 83.55/83.75 assert (zenon_L23_ : (~((h1 (e13)) = (e23))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> False).
% 83.55/83.75 do 0 intro. intros zenon_H5b zenon_H5c zenon_H5d.
% 83.55/83.75 cut (((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) = ((h1 (e13)) = (e23))).
% 83.55/83.75 intro zenon_D_pnotp.
% 83.55/83.75 apply zenon_H5b.
% 83.55/83.75 rewrite <- zenon_D_pnotp.
% 83.55/83.75 exact zenon_H5c.
% 83.55/83.75 cut (((op2 (e20) (op2 (e20) (op2 (e20) (e20)))) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H5e].
% 83.55/83.75 cut (((h1 (e13)) = (h1 (e13)))); [idtac | apply NNPP; zenon_intro zenon_H5f].
% 83.55/83.75 congruence.
% 83.55/83.75 apply zenon_H5f. apply refl_equal.
% 83.55/83.75 apply zenon_H5e. apply sym_equal. exact zenon_H5d.
% 83.55/83.75 (* end of lemma zenon_L23_ *)
% 83.55/83.75 assert (zenon_L24_ : (~((e20) = (e20))) -> False).
% 83.55/83.75 do 0 intro. intros zenon_H60.
% 83.55/83.75 apply zenon_H60. apply refl_equal.
% 83.55/83.75 (* end of lemma zenon_L24_ *)
% 83.55/83.75 assert (zenon_L25_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((h1 (op1 (e10) (e13))) = (op2 (h1 (e10)) (h1 (e13))))) -> ((op2 (e20) (e23)) = (e20)) -> ((h1 (e10)) = (e20)) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> False).
% 83.55/83.75 do 0 intro. intros zenon_H61 zenon_H3f zenon_H25 zenon_H14 zenon_H17 zenon_H2c zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H50 zenon_H45 zenon_H56 zenon_H62 zenon_H63 zenon_H64 zenon_H5c zenon_H5d.
% 83.55/83.75 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ].
% 83.55/83.75 apply (zenon_L11_); trivial.
% 83.55/83.75 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ].
% 83.55/83.75 apply (zenon_L20_); trivial.
% 83.55/83.75 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ].
% 83.55/83.75 apply (zenon_L22_); trivial.
% 83.55/83.75 cut (((h1 (e10)) = (e20)) = ((h1 (op1 (e10) (e13))) = (op2 (h1 (e10)) (h1 (e13))))).
% 83.55/83.75 intro zenon_D_pnotp.
% 83.55/83.75 apply zenon_H62.
% 83.55/83.75 rewrite <- zenon_D_pnotp.
% 83.55/83.75 exact zenon_H64.
% 83.55/83.75 cut (((e20) = (op2 (h1 (e10)) (h1 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H67].
% 83.55/83.75 cut (((h1 (e10)) = (h1 (op1 (e10) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H68].
% 83.55/83.75 congruence.
% 83.55/83.75 elim (classic ((h1 (op1 (e10) (e13))) = (h1 (op1 (e10) (e13))))); [ zenon_intro zenon_H69 | zenon_intro zenon_H6a ].
% 83.55/83.75 cut (((h1 (op1 (e10) (e13))) = (h1 (op1 (e10) (e13)))) = ((h1 (e10)) = (h1 (op1 (e10) (e13))))).
% 83.55/83.75 intro zenon_D_pnotp.
% 83.55/83.75 apply zenon_H68.
% 83.55/83.75 rewrite <- zenon_D_pnotp.
% 83.55/83.75 exact zenon_H69.
% 83.55/83.75 cut (((h1 (op1 (e10) (e13))) = (h1 (op1 (e10) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H6a].
% 83.55/83.75 cut (((h1 (op1 (e10) (e13))) = (h1 (e10)))); [idtac | apply NNPP; zenon_intro zenon_H6b].
% 83.55/83.75 congruence.
% 83.55/83.75 cut (((op1 (e10) (e13)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H6c].
% 83.55/83.75 congruence.
% 83.55/83.75 exact (zenon_H6c zenon_H42).
% 83.55/83.75 apply zenon_H6a. apply refl_equal.
% 83.55/83.75 apply zenon_H6a. apply refl_equal.
% 83.55/83.75 elim (classic ((op2 (h1 (e10)) (h1 (e13))) = (op2 (h1 (e10)) (h1 (e13))))); [ zenon_intro zenon_H6d | zenon_intro zenon_H6e ].
% 83.55/83.75 cut (((op2 (h1 (e10)) (h1 (e13))) = (op2 (h1 (e10)) (h1 (e13)))) = ((e20) = (op2 (h1 (e10)) (h1 (e13))))).
% 83.55/83.75 intro zenon_D_pnotp.
% 83.55/83.75 apply zenon_H67.
% 83.55/83.75 rewrite <- zenon_D_pnotp.
% 83.55/83.75 exact zenon_H6d.
% 83.55/83.75 cut (((op2 (h1 (e10)) (h1 (e13))) = (op2 (h1 (e10)) (h1 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H6e].
% 83.55/83.75 cut (((op2 (h1 (e10)) (h1 (e13))) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H6f].
% 83.55/83.75 congruence.
% 83.55/83.75 cut (((op2 (e20) (e23)) = (e20)) = ((op2 (h1 (e10)) (h1 (e13))) = (e20))).
% 83.55/83.75 intro zenon_D_pnotp.
% 83.55/83.75 apply zenon_H6f.
% 83.55/83.75 rewrite <- zenon_D_pnotp.
% 83.55/83.75 exact zenon_H63.
% 83.55/83.75 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H60].
% 83.55/83.75 cut (((op2 (e20) (e23)) = (op2 (h1 (e10)) (h1 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H70].
% 83.55/83.75 congruence.
% 83.55/83.75 elim (classic ((op2 (h1 (e10)) (h1 (e13))) = (op2 (h1 (e10)) (h1 (e13))))); [ zenon_intro zenon_H6d | zenon_intro zenon_H6e ].
% 83.55/83.75 cut (((op2 (h1 (e10)) (h1 (e13))) = (op2 (h1 (e10)) (h1 (e13)))) = ((op2 (e20) (e23)) = (op2 (h1 (e10)) (h1 (e13))))).
% 83.55/83.75 intro zenon_D_pnotp.
% 83.55/83.75 apply zenon_H70.
% 83.55/83.75 rewrite <- zenon_D_pnotp.
% 83.55/83.75 exact zenon_H6d.
% 83.55/83.75 cut (((op2 (h1 (e10)) (h1 (e13))) = (op2 (h1 (e10)) (h1 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H6e].
% 83.55/83.75 cut (((op2 (h1 (e10)) (h1 (e13))) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H71].
% 83.55/83.75 congruence.
% 83.55/83.75 cut (((h1 (e13)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H5b].
% 83.55/83.75 cut (((h1 (e10)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H72].
% 83.55/83.75 congruence.
% 83.55/83.75 exact (zenon_H72 zenon_H64).
% 83.55/83.75 apply (zenon_L23_); trivial.
% 83.55/83.75 apply zenon_H6e. apply refl_equal.
% 83.55/83.75 apply zenon_H6e. apply refl_equal.
% 83.55/83.75 apply zenon_H60. apply refl_equal.
% 83.55/83.75 apply zenon_H6e. apply refl_equal.
% 83.55/83.75 apply zenon_H6e. apply refl_equal.
% 83.55/83.75 (* end of lemma zenon_L25_ *)
% 83.55/83.75 assert (zenon_L26_ : (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e20) (e23)) = (e20)) -> ((op2 (e21) (e23)) = (e20)) -> False).
% 83.55/83.75 do 0 intro. intros zenon_H73 zenon_H63 zenon_H74.
% 83.55/83.75 cut (((op2 (e20) (e23)) = (e20)) = ((op2 (e20) (e23)) = (op2 (e21) (e23)))).
% 83.55/83.75 intro zenon_D_pnotp.
% 83.55/83.75 apply zenon_H73.
% 83.55/83.75 rewrite <- zenon_D_pnotp.
% 83.55/83.75 exact zenon_H63.
% 83.55/83.75 cut (((e20) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H75].
% 83.55/83.75 cut (((op2 (e20) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H76].
% 83.55/83.75 congruence.
% 83.55/83.75 apply zenon_H76. apply refl_equal.
% 83.55/83.75 apply zenon_H75. apply sym_equal. exact zenon_H74.
% 83.55/83.75 (* end of lemma zenon_L26_ *)
% 83.55/83.75 assert (zenon_L27_ : (~((op2 (e20) (op2 (e20) (e20))) = (op2 (e20) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> False).
% 83.55/83.75 do 0 intro. intros zenon_H77 zenon_H78.
% 83.55/83.75 cut (((op2 (e20) (e20)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H79].
% 83.55/83.75 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H60].
% 83.55/83.75 congruence.
% 83.55/83.75 apply zenon_H60. apply refl_equal.
% 83.55/83.75 apply zenon_H79. apply sym_equal. exact zenon_H78.
% 83.55/83.75 (* end of lemma zenon_L27_ *)
% 83.55/83.75 assert (zenon_L28_ : ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((op2 (e20) (e23)) = (e21)) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> False).
% 83.55/83.75 do 0 intro. intros zenon_H7a zenon_H7b zenon_H78 zenon_H7c.
% 83.55/83.75 elim (classic ((op2 (e20) (e23)) = (op2 (e20) (e23)))); [ zenon_intro zenon_H7d | zenon_intro zenon_H76 ].
% 83.55/83.75 cut (((op2 (e20) (e23)) = (op2 (e20) (e23))) = ((op2 (e20) (e22)) = (op2 (e20) (e23)))).
% 83.55/83.75 intro zenon_D_pnotp.
% 83.55/83.75 apply zenon_H7c.
% 83.55/83.75 rewrite <- zenon_D_pnotp.
% 83.55/83.75 exact zenon_H7d.
% 83.55/83.75 cut (((op2 (e20) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H76].
% 83.55/83.75 cut (((op2 (e20) (e23)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H7e].
% 83.55/83.75 congruence.
% 83.55/83.75 cut (((e21) = (op2 (e20) (op2 (e20) (e20)))) = ((op2 (e20) (e23)) = (op2 (e20) (e22)))).
% 83.55/83.75 intro zenon_D_pnotp.
% 83.55/83.75 apply zenon_H7e.
% 83.55/83.75 rewrite <- zenon_D_pnotp.
% 83.55/83.75 exact zenon_H7a.
% 83.55/83.75 cut (((op2 (e20) (op2 (e20) (e20))) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H77].
% 83.55/83.75 cut (((e21) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H7f].
% 83.55/83.75 congruence.
% 83.55/83.75 elim (classic ((op2 (e20) (e23)) = (op2 (e20) (e23)))); [ zenon_intro zenon_H7d | zenon_intro zenon_H76 ].
% 83.55/83.75 cut (((op2 (e20) (e23)) = (op2 (e20) (e23))) = ((e21) = (op2 (e20) (e23)))).
% 83.55/83.75 intro zenon_D_pnotp.
% 83.55/83.75 apply zenon_H7f.
% 83.55/83.75 rewrite <- zenon_D_pnotp.
% 83.55/83.75 exact zenon_H7d.
% 83.55/83.75 cut (((op2 (e20) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H76].
% 83.55/83.75 cut (((op2 (e20) (e23)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H80].
% 83.55/83.75 congruence.
% 83.55/83.75 exact (zenon_H80 zenon_H7b).
% 83.55/83.75 apply zenon_H76. apply refl_equal.
% 83.55/83.75 apply zenon_H76. apply refl_equal.
% 83.55/83.75 apply (zenon_L27_); trivial.
% 83.55/83.75 apply zenon_H76. apply refl_equal.
% 83.55/83.75 apply zenon_H76. apply refl_equal.
% 83.55/83.75 (* end of lemma zenon_L28_ *)
% 83.55/83.75 assert (zenon_L29_ : ((e22) = (op2 (e20) (e20))) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> False).
% 83.55/83.75 do 0 intro. intros zenon_H78 zenon_H81 zenon_H82.
% 83.55/83.75 elim (classic ((op2 (e20) (e23)) = (op2 (e20) (e23)))); [ zenon_intro zenon_H7d | zenon_intro zenon_H76 ].
% 83.55/83.75 cut (((op2 (e20) (e23)) = (op2 (e20) (e23))) = ((op2 (e20) (e20)) = (op2 (e20) (e23)))).
% 83.55/83.75 intro zenon_D_pnotp.
% 83.55/83.75 apply zenon_H82.
% 83.55/83.75 rewrite <- zenon_D_pnotp.
% 83.55/83.75 exact zenon_H7d.
% 83.55/83.75 cut (((op2 (e20) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H76].
% 83.55/83.75 cut (((op2 (e20) (e23)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H83].
% 83.55/83.75 congruence.
% 83.55/83.75 cut (((e22) = (op2 (e20) (e20))) = ((op2 (e20) (e23)) = (op2 (e20) (e20)))).
% 83.55/83.75 intro zenon_D_pnotp.
% 83.55/83.75 apply zenon_H83.
% 83.55/83.75 rewrite <- zenon_D_pnotp.
% 83.55/83.75 exact zenon_H78.
% 83.55/83.75 cut (((op2 (e20) (e20)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H84].
% 83.55/83.75 cut (((e22) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H85].
% 83.55/83.75 congruence.
% 83.55/83.75 elim (classic ((op2 (e20) (e23)) = (op2 (e20) (e23)))); [ zenon_intro zenon_H7d | zenon_intro zenon_H76 ].
% 83.55/83.75 cut (((op2 (e20) (e23)) = (op2 (e20) (e23))) = ((e22) = (op2 (e20) (e23)))).
% 83.55/83.75 intro zenon_D_pnotp.
% 83.55/83.75 apply zenon_H85.
% 83.55/83.75 rewrite <- zenon_D_pnotp.
% 83.55/83.75 exact zenon_H7d.
% 83.55/83.75 cut (((op2 (e20) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H76].
% 83.55/83.75 cut (((op2 (e20) (e23)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H86].
% 83.55/83.75 congruence.
% 83.55/83.75 exact (zenon_H86 zenon_H81).
% 83.55/83.75 apply zenon_H76. apply refl_equal.
% 83.55/83.75 apply zenon_H76. apply refl_equal.
% 83.55/83.75 apply zenon_H84. apply refl_equal.
% 83.55/83.75 apply zenon_H76. apply refl_equal.
% 83.55/83.75 apply zenon_H76. apply refl_equal.
% 83.55/83.75 (* end of lemma zenon_L29_ *)
% 83.55/83.75 assert (zenon_L30_ : (~((op2 (e20) (op2 (e20) (op2 (e20) (e20)))) = (op2 (e20) (e21)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> False).
% 83.55/83.75 do 0 intro. intros zenon_H87 zenon_H7a.
% 83.55/83.75 cut (((op2 (e20) (op2 (e20) (e20))) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H88].
% 83.55/83.75 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H60].
% 83.55/83.75 congruence.
% 83.55/83.75 apply zenon_H60. apply refl_equal.
% 83.55/83.75 apply zenon_H88. apply sym_equal. exact zenon_H7a.
% 83.55/83.75 (* end of lemma zenon_L30_ *)
% 83.55/83.75 assert (zenon_L31_ : ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((op2 (e20) (e23)) = (e23)) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.55/83.75 do 0 intro. intros zenon_H5d zenon_H89 zenon_H7a zenon_H8a.
% 83.55/83.75 elim (classic ((op2 (e20) (e23)) = (op2 (e20) (e23)))); [ zenon_intro zenon_H7d | zenon_intro zenon_H76 ].
% 83.55/83.75 cut (((op2 (e20) (e23)) = (op2 (e20) (e23))) = ((op2 (e20) (e21)) = (op2 (e20) (e23)))).
% 83.55/83.75 intro zenon_D_pnotp.
% 83.55/83.75 apply zenon_H8a.
% 83.55/83.75 rewrite <- zenon_D_pnotp.
% 83.55/83.75 exact zenon_H7d.
% 83.55/83.75 cut (((op2 (e20) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H76].
% 83.55/83.75 cut (((op2 (e20) (e23)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H8b].
% 83.55/83.75 congruence.
% 83.55/83.75 cut (((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) = ((op2 (e20) (e23)) = (op2 (e20) (e21)))).
% 83.55/83.75 intro zenon_D_pnotp.
% 83.55/83.75 apply zenon_H8b.
% 83.55/83.75 rewrite <- zenon_D_pnotp.
% 83.55/83.75 exact zenon_H5d.
% 83.55/83.75 cut (((op2 (e20) (op2 (e20) (op2 (e20) (e20)))) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H87].
% 83.55/83.75 cut (((e23) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H8c].
% 83.55/83.75 congruence.
% 83.55/83.75 elim (classic ((op2 (e20) (e23)) = (op2 (e20) (e23)))); [ zenon_intro zenon_H7d | zenon_intro zenon_H76 ].
% 83.55/83.75 cut (((op2 (e20) (e23)) = (op2 (e20) (e23))) = ((e23) = (op2 (e20) (e23)))).
% 83.55/83.75 intro zenon_D_pnotp.
% 83.55/83.75 apply zenon_H8c.
% 83.55/83.75 rewrite <- zenon_D_pnotp.
% 83.55/83.75 exact zenon_H7d.
% 83.55/83.75 cut (((op2 (e20) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H76].
% 83.55/83.75 cut (((op2 (e20) (e23)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H8d].
% 83.55/83.75 congruence.
% 83.55/83.75 exact (zenon_H8d zenon_H89).
% 83.55/83.75 apply zenon_H76. apply refl_equal.
% 83.55/83.75 apply zenon_H76. apply refl_equal.
% 83.55/83.75 apply (zenon_L30_); trivial.
% 83.55/83.75 apply zenon_H76. apply refl_equal.
% 83.55/83.75 apply zenon_H76. apply refl_equal.
% 83.55/83.75 (* end of lemma zenon_L31_ *)
% 83.55/83.75 assert (zenon_L32_ : (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.55/83.75 do 0 intro. intros zenon_H8e zenon_H74 zenon_H73 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a.
% 83.55/83.75 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H63 | zenon_intro zenon_H8f ].
% 83.55/83.75 apply (zenon_L26_); trivial.
% 83.55/83.75 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H7b | zenon_intro zenon_H90 ].
% 83.55/83.75 apply (zenon_L28_); trivial.
% 83.55/83.75 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H81 | zenon_intro zenon_H89 ].
% 83.55/83.75 apply (zenon_L29_); trivial.
% 83.55/83.75 apply (zenon_L31_); trivial.
% 83.55/83.75 (* end of lemma zenon_L32_ *)
% 83.55/83.75 assert (zenon_L33_ : (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e23)) = (e20)) -> ((op2 (e22) (e23)) = (e20)) -> False).
% 83.55/83.75 do 0 intro. intros zenon_H91 zenon_H63 zenon_H92.
% 83.55/83.75 cut (((op2 (e20) (e23)) = (e20)) = ((op2 (e20) (e23)) = (op2 (e22) (e23)))).
% 83.55/83.75 intro zenon_D_pnotp.
% 83.55/83.75 apply zenon_H91.
% 83.55/83.75 rewrite <- zenon_D_pnotp.
% 83.55/83.75 exact zenon_H63.
% 83.55/83.75 cut (((e20) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H93].
% 83.55/83.75 cut (((op2 (e20) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H76].
% 83.55/83.75 congruence.
% 83.55/83.75 apply zenon_H76. apply refl_equal.
% 83.55/83.75 apply zenon_H93. apply sym_equal. exact zenon_H92.
% 83.55/83.75 (* end of lemma zenon_L33_ *)
% 83.55/83.75 assert (zenon_L34_ : (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> ((op2 (e22) (e23)) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.55/83.75 do 0 intro. intros zenon_H8e zenon_H92 zenon_H91 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a.
% 83.55/83.75 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H63 | zenon_intro zenon_H8f ].
% 83.55/83.75 apply (zenon_L33_); trivial.
% 83.55/83.75 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H7b | zenon_intro zenon_H90 ].
% 83.55/83.75 apply (zenon_L28_); trivial.
% 83.55/83.75 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H81 | zenon_intro zenon_H89 ].
% 83.55/83.75 apply (zenon_L29_); trivial.
% 83.55/83.75 apply (zenon_L31_); trivial.
% 83.55/83.75 (* end of lemma zenon_L34_ *)
% 83.55/83.75 assert (zenon_L35_ : (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e20)) -> ((op2 (e23) (e23)) = (e20)) -> False).
% 83.55/83.75 do 0 intro. intros zenon_H94 zenon_H63 zenon_H95.
% 83.55/83.75 cut (((op2 (e20) (e23)) = (e20)) = ((op2 (e20) (e23)) = (op2 (e23) (e23)))).
% 83.55/83.75 intro zenon_D_pnotp.
% 83.55/83.75 apply zenon_H94.
% 83.55/83.75 rewrite <- zenon_D_pnotp.
% 83.55/83.75 exact zenon_H63.
% 83.55/83.75 cut (((e20) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H96].
% 83.55/83.75 cut (((op2 (e20) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H76].
% 83.55/83.75 congruence.
% 83.55/83.75 apply zenon_H76. apply refl_equal.
% 83.55/83.75 apply zenon_H96. apply sym_equal. exact zenon_H95.
% 83.55/83.75 (* end of lemma zenon_L35_ *)
% 83.55/83.75 assert (zenon_L36_ : (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> ((op2 (e23) (e23)) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.55/83.75 do 0 intro. intros zenon_H8e zenon_H95 zenon_H94 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a.
% 83.55/83.75 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H63 | zenon_intro zenon_H8f ].
% 83.55/83.75 apply (zenon_L35_); trivial.
% 83.55/83.75 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H7b | zenon_intro zenon_H90 ].
% 83.55/83.75 apply (zenon_L28_); trivial.
% 83.55/83.75 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H81 | zenon_intro zenon_H89 ].
% 83.55/83.75 apply (zenon_L29_); trivial.
% 83.55/83.75 apply (zenon_L31_); trivial.
% 83.55/83.75 (* end of lemma zenon_L36_ *)
% 83.55/83.75 assert (zenon_L37_ : ((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\(((op2 (op2 (e20) (e20)) (e20)) = (e20))/\(~((op2 (op2 (e20) (e20)) (e20)) = (e20))))) -> False).
% 83.55/83.75 do 0 intro. intros zenon_H97.
% 83.55/83.75 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H99. zenon_intro zenon_H98.
% 83.55/83.75 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_H9b. zenon_intro zenon_H9a.
% 83.55/83.75 exact (zenon_H9a zenon_H9b).
% 83.55/83.75 (* end of lemma zenon_L37_ *)
% 83.55/83.75 assert (zenon_L38_ : ((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\(((op1 (op1 (e10) (e10)) (e10)) = (e10))/\(~((op1 (op1 (e10) (e10)) (e10)) = (e10))))) -> False).
% 83.55/83.75 do 0 intro. intros zenon_H9c.
% 83.55/83.75 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_H9e. zenon_intro zenon_H9d.
% 83.55/83.75 apply (zenon_and_s _ _ zenon_H9d). zenon_intro zenon_Ha0. zenon_intro zenon_H9f.
% 83.55/83.75 exact (zenon_H9f zenon_Ha0).
% 83.55/83.75 (* end of lemma zenon_L38_ *)
% 83.55/83.75 assert (zenon_L39_ : (~((e22) = (e22))) -> False).
% 83.55/83.75 do 0 intro. intros zenon_Ha1.
% 83.55/83.75 apply zenon_Ha1. apply refl_equal.
% 83.55/83.75 (* end of lemma zenon_L39_ *)
% 83.55/83.75 assert (zenon_L40_ : ((e22) = (op2 (e20) (e20))) -> ((op2 (e20) (e20)) = (e20)) -> (~((e20) = (e22))) -> False).
% 83.55/83.75 do 0 intro. intros zenon_H78 zenon_Ha2 zenon_Ha3.
% 83.55/83.75 elim (classic ((e22) = (e22))); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Ha1 ].
% 83.55/83.75 cut (((e22) = (e22)) = ((e20) = (e22))).
% 83.55/83.75 intro zenon_D_pnotp.
% 83.55/83.75 apply zenon_Ha3.
% 83.55/83.75 rewrite <- zenon_D_pnotp.
% 83.55/83.75 exact zenon_Ha4.
% 83.55/83.75 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Ha1].
% 83.55/83.75 cut (((e22) = (e20))); [idtac | apply NNPP; zenon_intro zenon_Ha5].
% 83.55/83.75 congruence.
% 83.55/83.75 cut (((e22) = (op2 (e20) (e20))) = ((e22) = (e20))).
% 83.55/83.75 intro zenon_D_pnotp.
% 83.55/83.75 apply zenon_Ha5.
% 83.55/83.75 rewrite <- zenon_D_pnotp.
% 83.55/83.75 exact zenon_H78.
% 83.55/83.75 cut (((op2 (e20) (e20)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_Ha6].
% 83.55/83.75 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Ha1].
% 83.55/83.75 congruence.
% 83.55/83.75 apply zenon_Ha1. apply refl_equal.
% 83.55/83.75 exact (zenon_Ha6 zenon_Ha2).
% 83.55/83.75 apply zenon_Ha1. apply refl_equal.
% 83.55/83.75 apply zenon_Ha1. apply refl_equal.
% 83.55/83.75 (* end of lemma zenon_L40_ *)
% 83.55/83.75 assert (zenon_L41_ : ((e22) = (op2 (e20) (e20))) -> ((op2 (e20) (e20)) = (e21)) -> (~((e21) = (e22))) -> False).
% 83.55/83.75 do 0 intro. intros zenon_H78 zenon_Ha7 zenon_Ha8.
% 83.55/83.75 elim (classic ((e22) = (e22))); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Ha1 ].
% 83.55/83.75 cut (((e22) = (e22)) = ((e21) = (e22))).
% 83.55/83.75 intro zenon_D_pnotp.
% 83.55/83.75 apply zenon_Ha8.
% 83.55/83.75 rewrite <- zenon_D_pnotp.
% 83.55/83.75 exact zenon_Ha4.
% 83.55/83.75 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Ha1].
% 83.55/83.75 cut (((e22) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Ha9].
% 83.55/83.75 congruence.
% 83.55/83.75 cut (((e22) = (op2 (e20) (e20))) = ((e22) = (e21))).
% 83.55/83.75 intro zenon_D_pnotp.
% 83.55/83.75 apply zenon_Ha9.
% 83.55/83.75 rewrite <- zenon_D_pnotp.
% 83.55/83.75 exact zenon_H78.
% 83.55/83.75 cut (((op2 (e20) (e20)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Haa].
% 83.55/83.75 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Ha1].
% 83.55/83.75 congruence.
% 83.55/83.75 apply zenon_Ha1. apply refl_equal.
% 83.55/83.75 exact (zenon_Haa zenon_Ha7).
% 83.55/83.75 apply zenon_Ha1. apply refl_equal.
% 83.55/83.75 apply zenon_Ha1. apply refl_equal.
% 83.55/83.75 (* end of lemma zenon_L41_ *)
% 83.55/83.75 assert (zenon_L42_ : ((op2 (e21) (e20)) = (e20)) -> ((op2 (e21) (e20)) = (e21)) -> (~((e20) = (e21))) -> False).
% 83.55/83.75 do 0 intro. intros zenon_Hab zenon_Hac zenon_Had.
% 83.55/83.75 elim (classic ((e21) = (e21))); [ zenon_intro zenon_Hae | zenon_intro zenon_Haf ].
% 83.55/83.75 cut (((e21) = (e21)) = ((e20) = (e21))).
% 83.55/83.75 intro zenon_D_pnotp.
% 83.55/83.75 apply zenon_Had.
% 83.55/83.75 rewrite <- zenon_D_pnotp.
% 83.55/83.75 exact zenon_Hae.
% 83.55/83.75 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Haf].
% 83.55/83.75 cut (((e21) = (e20))); [idtac | apply NNPP; zenon_intro zenon_Hb0].
% 83.55/83.75 congruence.
% 83.55/83.75 cut (((op2 (e21) (e20)) = (e20)) = ((e21) = (e20))).
% 83.55/83.75 intro zenon_D_pnotp.
% 83.55/83.75 apply zenon_Hb0.
% 83.55/83.75 rewrite <- zenon_D_pnotp.
% 83.55/83.75 exact zenon_Hab.
% 83.55/83.75 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H60].
% 83.55/83.75 cut (((op2 (e21) (e20)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Hb1].
% 83.55/83.75 congruence.
% 83.55/83.75 exact (zenon_Hb1 zenon_Hac).
% 83.55/83.75 apply zenon_H60. apply refl_equal.
% 83.55/83.75 apply zenon_Haf. apply refl_equal.
% 83.55/83.75 apply zenon_Haf. apply refl_equal.
% 83.55/83.75 (* end of lemma zenon_L42_ *)
% 83.55/83.75 assert (zenon_L43_ : (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((op2 (e20) (e20)) = (e23)) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> False).
% 83.55/83.75 do 0 intro. intros zenon_Hb2 zenon_H5d zenon_Hb3 zenon_H7a.
% 83.55/83.75 cut (((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) = ((op2 (e20) (e20)) = (op2 (e20) (e21)))).
% 83.55/83.75 intro zenon_D_pnotp.
% 83.55/83.75 apply zenon_Hb2.
% 83.55/83.75 rewrite <- zenon_D_pnotp.
% 83.55/83.75 exact zenon_H5d.
% 83.55/83.75 cut (((op2 (e20) (op2 (e20) (op2 (e20) (e20)))) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H87].
% 83.55/83.75 cut (((e23) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hb4].
% 83.55/83.75 congruence.
% 83.55/83.75 elim (classic ((op2 (e20) (e20)) = (op2 (e20) (e20)))); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H84 ].
% 83.55/83.75 cut (((op2 (e20) (e20)) = (op2 (e20) (e20))) = ((e23) = (op2 (e20) (e20)))).
% 83.55/83.75 intro zenon_D_pnotp.
% 83.55/83.75 apply zenon_Hb4.
% 83.55/83.75 rewrite <- zenon_D_pnotp.
% 83.55/83.75 exact zenon_Hb5.
% 83.55/83.75 cut (((op2 (e20) (e20)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H84].
% 83.55/83.75 cut (((op2 (e20) (e20)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_Hb6].
% 83.55/83.75 congruence.
% 83.55/83.75 exact (zenon_Hb6 zenon_Hb3).
% 83.55/83.75 apply zenon_H84. apply refl_equal.
% 83.55/83.75 apply zenon_H84. apply refl_equal.
% 83.55/83.75 apply (zenon_L30_); trivial.
% 83.55/83.75 (* end of lemma zenon_L43_ *)
% 83.55/83.75 assert (zenon_L44_ : (~((op2 (e23) (e20)) = (op2 (op2 (e20) (e21)) (e20)))) -> ((op2 (e20) (e21)) = (e23)) -> False).
% 83.55/83.75 do 0 intro. intros zenon_Hb7 zenon_Hb8.
% 83.55/83.75 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H60].
% 83.55/83.75 cut (((e23) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_Hb9].
% 83.55/83.75 congruence.
% 83.55/83.75 apply zenon_Hb9. apply sym_equal. exact zenon_Hb8.
% 83.55/83.75 apply zenon_H60. apply refl_equal.
% 83.55/83.75 (* end of lemma zenon_L44_ *)
% 83.55/83.75 assert (zenon_L45_ : ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> ((op2 (e20) (e21)) = (e23)) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> False).
% 83.55/83.75 do 0 intro. intros zenon_Hba zenon_Hb8 zenon_Hbb zenon_Hbc.
% 83.55/83.75 elim (classic ((op2 (e23) (e20)) = (op2 (e23) (e20)))); [ zenon_intro zenon_Hbd | zenon_intro zenon_Hbe ].
% 83.55/83.75 cut (((op2 (e23) (e20)) = (op2 (e23) (e20))) = ((op2 (e22) (e20)) = (op2 (e23) (e20)))).
% 83.55/83.75 intro zenon_D_pnotp.
% 83.55/83.75 apply zenon_Hbc.
% 83.55/83.75 rewrite <- zenon_D_pnotp.
% 83.55/83.75 exact zenon_Hbd.
% 83.55/83.75 cut (((op2 (e23) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hbe].
% 83.55/83.75 cut (((op2 (e23) (e20)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hbf].
% 83.55/83.75 congruence.
% 83.55/83.75 cut (((op2 (op2 (e20) (e21)) (e20)) = (e21)) = ((op2 (e23) (e20)) = (op2 (e22) (e20)))).
% 83.55/83.75 intro zenon_D_pnotp.
% 83.55/83.75 apply zenon_Hbf.
% 83.55/83.75 rewrite <- zenon_D_pnotp.
% 83.55/83.75 exact zenon_Hba.
% 83.55/83.75 cut (((e21) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hc0].
% 83.55/83.75 cut (((op2 (op2 (e20) (e21)) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hc1].
% 83.55/83.75 congruence.
% 83.55/83.75 elim (classic ((op2 (e23) (e20)) = (op2 (e23) (e20)))); [ zenon_intro zenon_Hbd | zenon_intro zenon_Hbe ].
% 83.55/83.75 cut (((op2 (e23) (e20)) = (op2 (e23) (e20))) = ((op2 (op2 (e20) (e21)) (e20)) = (op2 (e23) (e20)))).
% 83.55/83.75 intro zenon_D_pnotp.
% 83.55/83.75 apply zenon_Hc1.
% 83.55/83.75 rewrite <- zenon_D_pnotp.
% 83.55/83.75 exact zenon_Hbd.
% 83.55/83.75 cut (((op2 (e23) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hbe].
% 83.55/83.75 cut (((op2 (e23) (e20)) = (op2 (op2 (e20) (e21)) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hb7].
% 83.55/83.75 congruence.
% 83.55/83.75 apply (zenon_L44_); trivial.
% 83.55/83.75 apply zenon_Hbe. apply refl_equal.
% 83.55/83.75 apply zenon_Hbe. apply refl_equal.
% 83.55/83.75 apply zenon_Hc0. apply sym_equal. exact zenon_Hbb.
% 83.55/83.75 apply zenon_Hbe. apply refl_equal.
% 83.55/83.75 apply zenon_Hbe. apply refl_equal.
% 83.55/83.75 (* end of lemma zenon_L45_ *)
% 83.55/83.75 assert (zenon_L46_ : ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((op2 (e20) (e22)) = (e23)) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> False).
% 83.55/83.75 do 0 intro. intros zenon_H5d zenon_Hc2 zenon_H7a zenon_Hc3.
% 83.55/83.75 elim (classic ((op2 (e20) (e22)) = (op2 (e20) (e22)))); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc5 ].
% 83.55/83.75 cut (((op2 (e20) (e22)) = (op2 (e20) (e22))) = ((op2 (e20) (e21)) = (op2 (e20) (e22)))).
% 83.55/83.75 intro zenon_D_pnotp.
% 83.55/83.75 apply zenon_Hc3.
% 83.55/83.75 rewrite <- zenon_D_pnotp.
% 83.55/83.75 exact zenon_Hc4.
% 83.55/83.75 cut (((op2 (e20) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hc5].
% 83.55/83.75 cut (((op2 (e20) (e22)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_Hc6].
% 83.55/83.75 congruence.
% 83.55/83.75 cut (((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) = ((op2 (e20) (e22)) = (op2 (e20) (e21)))).
% 83.55/83.75 intro zenon_D_pnotp.
% 83.55/83.75 apply zenon_Hc6.
% 83.55/83.75 rewrite <- zenon_D_pnotp.
% 83.55/83.75 exact zenon_H5d.
% 83.55/83.75 cut (((op2 (e20) (op2 (e20) (op2 (e20) (e20)))) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H87].
% 83.55/83.75 cut (((e23) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hc7].
% 83.55/83.75 congruence.
% 83.55/83.75 elim (classic ((op2 (e20) (e22)) = (op2 (e20) (e22)))); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc5 ].
% 83.55/83.75 cut (((op2 (e20) (e22)) = (op2 (e20) (e22))) = ((e23) = (op2 (e20) (e22)))).
% 83.55/83.75 intro zenon_D_pnotp.
% 83.55/83.75 apply zenon_Hc7.
% 83.55/83.75 rewrite <- zenon_D_pnotp.
% 83.55/83.75 exact zenon_Hc4.
% 83.55/83.75 cut (((op2 (e20) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hc5].
% 83.55/83.75 cut (((op2 (e20) (e22)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_Hc8].
% 83.55/83.75 congruence.
% 83.55/83.75 exact (zenon_Hc8 zenon_Hc2).
% 83.55/83.75 apply zenon_Hc5. apply refl_equal.
% 83.55/83.75 apply zenon_Hc5. apply refl_equal.
% 83.55/83.75 apply (zenon_L30_); trivial.
% 83.55/83.75 apply zenon_Hc5. apply refl_equal.
% 83.55/83.75 apply zenon_Hc5. apply refl_equal.
% 83.55/83.75 (* end of lemma zenon_L46_ *)
% 83.55/83.75 assert (zenon_L47_ : (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e22) (e20)) = (e21)) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.55/83.75 do 0 intro. intros zenon_Hc9 zenon_Hb2 zenon_Hbc zenon_Hbb zenon_Hba zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a.
% 83.55/83.75 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ].
% 83.55/83.75 apply (zenon_L43_); trivial.
% 83.55/83.75 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ].
% 83.55/83.75 apply (zenon_L45_); trivial.
% 83.55/83.75 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ].
% 83.55/83.75 apply (zenon_L46_); trivial.
% 83.55/83.75 apply (zenon_L31_); trivial.
% 83.55/83.75 (* end of lemma zenon_L47_ *)
% 83.55/83.75 assert (zenon_L48_ : ((op2 (e20) (e23)) = (e20)) -> ((op2 (e20) (e21)) = (e20)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.55/83.75 do 0 intro. intros zenon_H63 zenon_Hcc zenon_H8a.
% 83.55/83.75 elim (classic ((op2 (e20) (e23)) = (op2 (e20) (e23)))); [ zenon_intro zenon_H7d | zenon_intro zenon_H76 ].
% 83.55/83.75 cut (((op2 (e20) (e23)) = (op2 (e20) (e23))) = ((op2 (e20) (e21)) = (op2 (e20) (e23)))).
% 83.55/83.75 intro zenon_D_pnotp.
% 83.55/83.75 apply zenon_H8a.
% 83.55/83.75 rewrite <- zenon_D_pnotp.
% 83.55/83.75 exact zenon_H7d.
% 83.55/83.75 cut (((op2 (e20) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H76].
% 83.55/83.75 cut (((op2 (e20) (e23)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H8b].
% 83.55/83.75 congruence.
% 83.55/83.75 cut (((op2 (e20) (e23)) = (e20)) = ((op2 (e20) (e23)) = (op2 (e20) (e21)))).
% 83.55/83.75 intro zenon_D_pnotp.
% 83.55/83.75 apply zenon_H8b.
% 83.55/83.75 rewrite <- zenon_D_pnotp.
% 83.55/83.75 exact zenon_H63.
% 83.55/83.75 cut (((e20) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_Hcd].
% 83.55/83.75 cut (((op2 (e20) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H76].
% 83.55/83.75 congruence.
% 83.55/83.75 apply zenon_H76. apply refl_equal.
% 83.55/83.75 apply zenon_Hcd. apply sym_equal. exact zenon_Hcc.
% 83.55/83.75 apply zenon_H76. apply refl_equal.
% 83.55/83.75 apply zenon_H76. apply refl_equal.
% 83.55/83.75 (* end of lemma zenon_L48_ *)
% 83.55/83.75 assert (zenon_L49_ : (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((op2 (e20) (e21)) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.55/83.75 do 0 intro. intros zenon_Hce zenon_Hcc zenon_H73 zenon_H91 zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a.
% 83.55/83.75 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H63 | zenon_intro zenon_Hcf ].
% 83.55/83.75 apply (zenon_L48_); trivial.
% 83.55/83.75 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H74 | zenon_intro zenon_Hd0 ].
% 83.55/83.75 apply (zenon_L32_); trivial.
% 83.55/83.75 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H92 | zenon_intro zenon_H95 ].
% 83.55/83.75 apply (zenon_L34_); trivial.
% 83.55/83.75 apply (zenon_L36_); trivial.
% 83.55/83.75 (* end of lemma zenon_L49_ *)
% 83.55/83.75 assert (zenon_L50_ : (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e21) (e20)) = (e20)) -> ((op2 (e21) (e21)) = (e20)) -> False).
% 83.55/83.75 do 0 intro. intros zenon_Hd1 zenon_Hab zenon_Hd2.
% 83.55/83.75 cut (((op2 (e21) (e20)) = (e20)) = ((op2 (e21) (e20)) = (op2 (e21) (e21)))).
% 83.55/83.75 intro zenon_D_pnotp.
% 83.55/83.75 apply zenon_Hd1.
% 83.55/83.75 rewrite <- zenon_D_pnotp.
% 83.55/83.75 exact zenon_Hab.
% 83.55/83.75 cut (((e20) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_Hd3].
% 83.55/83.75 cut (((op2 (e21) (e20)) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hd4].
% 83.55/83.75 congruence.
% 83.55/83.75 apply zenon_Hd4. apply refl_equal.
% 83.55/83.75 apply zenon_Hd3. apply sym_equal. exact zenon_Hd2.
% 83.55/83.75 (* end of lemma zenon_L50_ *)
% 83.55/83.75 assert (zenon_L51_ : (~((e21) = (e21))) -> False).
% 83.55/83.75 do 0 intro. intros zenon_Haf.
% 83.55/83.75 apply zenon_Haf. apply refl_equal.
% 83.55/83.75 (* end of lemma zenon_L51_ *)
% 83.55/83.75 assert (zenon_L52_ : ((op2 (e21) (e20)) = (e21)) -> ((op2 (e21) (e20)) = (e23)) -> (~((e21) = (e23))) -> False).
% 83.55/83.75 do 0 intro. intros zenon_Hac zenon_Hd5 zenon_Hd6.
% 83.55/83.75 elim (classic ((e23) = (e23))); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hd8 ].
% 83.55/83.75 cut (((e23) = (e23)) = ((e21) = (e23))).
% 83.55/83.75 intro zenon_D_pnotp.
% 83.55/83.75 apply zenon_Hd6.
% 83.55/83.75 rewrite <- zenon_D_pnotp.
% 83.55/83.75 exact zenon_Hd7.
% 83.55/83.75 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_Hd8].
% 83.55/83.75 cut (((e23) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Hd9].
% 83.55/83.75 congruence.
% 83.55/83.75 cut (((op2 (e21) (e20)) = (e21)) = ((e23) = (e21))).
% 83.55/83.75 intro zenon_D_pnotp.
% 83.55/83.75 apply zenon_Hd9.
% 83.55/83.75 rewrite <- zenon_D_pnotp.
% 83.55/83.75 exact zenon_Hac.
% 83.55/83.75 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Haf].
% 83.55/83.75 cut (((op2 (e21) (e20)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_Hda].
% 83.55/83.75 congruence.
% 83.55/83.75 exact (zenon_Hda zenon_Hd5).
% 83.55/83.75 apply zenon_Haf. apply refl_equal.
% 83.55/83.75 apply zenon_Hd8. apply refl_equal.
% 83.55/83.75 apply zenon_Hd8. apply refl_equal.
% 83.55/83.75 (* end of lemma zenon_L52_ *)
% 83.55/83.75 assert (zenon_L53_ : ((e22) = (op2 (e20) (e20))) -> ((op2 (e21) (e20)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> False).
% 83.55/83.75 do 0 intro. intros zenon_H78 zenon_Hdb zenon_Hdc.
% 83.55/83.75 elim (classic ((op2 (e21) (e20)) = (op2 (e21) (e20)))); [ zenon_intro zenon_Hdd | zenon_intro zenon_Hd4 ].
% 83.55/83.75 cut (((op2 (e21) (e20)) = (op2 (e21) (e20))) = ((op2 (e20) (e20)) = (op2 (e21) (e20)))).
% 83.55/83.75 intro zenon_D_pnotp.
% 83.55/83.75 apply zenon_Hdc.
% 83.55/83.75 rewrite <- zenon_D_pnotp.
% 83.55/83.75 exact zenon_Hdd.
% 83.55/83.75 cut (((op2 (e21) (e20)) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hd4].
% 83.55/83.75 cut (((op2 (e21) (e20)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hde].
% 83.55/83.75 congruence.
% 83.55/83.75 cut (((e22) = (op2 (e20) (e20))) = ((op2 (e21) (e20)) = (op2 (e20) (e20)))).
% 83.55/83.75 intro zenon_D_pnotp.
% 83.55/83.75 apply zenon_Hde.
% 83.55/83.75 rewrite <- zenon_D_pnotp.
% 83.55/83.75 exact zenon_H78.
% 83.55/83.75 cut (((op2 (e20) (e20)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H84].
% 83.55/83.75 cut (((e22) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hdf].
% 83.55/83.75 congruence.
% 83.55/83.75 elim (classic ((op2 (e21) (e20)) = (op2 (e21) (e20)))); [ zenon_intro zenon_Hdd | zenon_intro zenon_Hd4 ].
% 83.55/83.75 cut (((op2 (e21) (e20)) = (op2 (e21) (e20))) = ((e22) = (op2 (e21) (e20)))).
% 83.55/83.75 intro zenon_D_pnotp.
% 83.55/83.75 apply zenon_Hdf.
% 83.55/83.75 rewrite <- zenon_D_pnotp.
% 83.55/83.75 exact zenon_Hdd.
% 83.55/83.75 cut (((op2 (e21) (e20)) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hd4].
% 83.55/83.75 cut (((op2 (e21) (e20)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_He0].
% 83.55/83.75 congruence.
% 83.55/83.75 exact (zenon_He0 zenon_Hdb).
% 83.55/83.75 apply zenon_Hd4. apply refl_equal.
% 83.55/83.75 apply zenon_Hd4. apply refl_equal.
% 83.55/83.75 apply zenon_H84. apply refl_equal.
% 83.55/83.75 apply zenon_Hd4. apply refl_equal.
% 83.55/83.75 apply zenon_Hd4. apply refl_equal.
% 83.55/83.75 (* end of lemma zenon_L53_ *)
% 83.55/83.75 assert (zenon_L54_ : ((op2 (e21) (e21)) = (e21)) -> ((op2 (e21) (e21)) = (e22)) -> (~((e21) = (e22))) -> False).
% 83.55/83.75 do 0 intro. intros zenon_He1 zenon_He2 zenon_Ha8.
% 83.55/83.75 elim (classic ((e22) = (e22))); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Ha1 ].
% 83.55/83.75 cut (((e22) = (e22)) = ((e21) = (e22))).
% 83.55/83.75 intro zenon_D_pnotp.
% 83.55/83.75 apply zenon_Ha8.
% 83.55/83.75 rewrite <- zenon_D_pnotp.
% 83.55/83.75 exact zenon_Ha4.
% 83.55/83.75 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Ha1].
% 83.55/83.75 cut (((e22) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Ha9].
% 83.55/83.75 congruence.
% 83.55/83.75 cut (((op2 (e21) (e21)) = (e21)) = ((e22) = (e21))).
% 83.55/83.75 intro zenon_D_pnotp.
% 83.55/83.75 apply zenon_Ha9.
% 83.55/83.75 rewrite <- zenon_D_pnotp.
% 83.55/83.75 exact zenon_He1.
% 83.55/83.75 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Haf].
% 83.55/83.75 cut (((op2 (e21) (e21)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_He3].
% 83.55/83.75 congruence.
% 83.55/83.75 exact (zenon_He3 zenon_He2).
% 83.55/83.75 apply zenon_Haf. apply refl_equal.
% 83.55/83.75 apply zenon_Ha1. apply refl_equal.
% 83.55/83.75 apply zenon_Ha1. apply refl_equal.
% 83.55/83.75 (* end of lemma zenon_L54_ *)
% 83.55/83.75 assert (zenon_L55_ : ((op2 (e22) (e21)) = (e20)) -> ((op2 (e22) (e21)) = (e21)) -> (~((e20) = (e21))) -> False).
% 83.55/83.75 do 0 intro. intros zenon_He4 zenon_He5 zenon_Had.
% 83.55/83.75 elim (classic ((e21) = (e21))); [ zenon_intro zenon_Hae | zenon_intro zenon_Haf ].
% 83.55/83.75 cut (((e21) = (e21)) = ((e20) = (e21))).
% 83.55/83.75 intro zenon_D_pnotp.
% 83.55/83.75 apply zenon_Had.
% 83.55/83.75 rewrite <- zenon_D_pnotp.
% 83.55/83.75 exact zenon_Hae.
% 83.55/83.75 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Haf].
% 83.55/83.75 cut (((e21) = (e20))); [idtac | apply NNPP; zenon_intro zenon_Hb0].
% 83.55/83.75 congruence.
% 83.55/83.75 cut (((op2 (e22) (e21)) = (e20)) = ((e21) = (e20))).
% 83.55/83.75 intro zenon_D_pnotp.
% 83.55/83.75 apply zenon_Hb0.
% 83.55/83.75 rewrite <- zenon_D_pnotp.
% 83.55/83.75 exact zenon_He4.
% 83.55/83.75 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H60].
% 83.55/83.75 cut (((op2 (e22) (e21)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_He6].
% 83.55/83.75 congruence.
% 83.55/83.75 exact (zenon_He6 zenon_He5).
% 83.55/83.75 apply zenon_H60. apply refl_equal.
% 83.55/83.75 apply zenon_Haf. apply refl_equal.
% 83.55/83.75 apply zenon_Haf. apply refl_equal.
% 83.55/83.75 (* end of lemma zenon_L55_ *)
% 83.55/83.75 assert (zenon_L56_ : ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((op2 (e22) (e22)) = (e21)) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> False).
% 83.55/83.75 do 0 intro. intros zenon_H7a zenon_He7 zenon_H78 zenon_He8.
% 83.55/83.75 elim (classic ((op2 (e22) (e22)) = (op2 (e22) (e22)))); [ zenon_intro zenon_He9 | zenon_intro zenon_Hea ].
% 83.55/83.75 cut (((op2 (e22) (e22)) = (op2 (e22) (e22))) = ((op2 (e20) (e22)) = (op2 (e22) (e22)))).
% 83.55/83.75 intro zenon_D_pnotp.
% 83.55/83.75 apply zenon_He8.
% 83.55/83.75 rewrite <- zenon_D_pnotp.
% 83.55/83.75 exact zenon_He9.
% 83.55/83.75 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hea].
% 83.55/83.75 cut (((op2 (e22) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Heb].
% 83.55/83.75 congruence.
% 83.55/83.75 cut (((e21) = (op2 (e20) (op2 (e20) (e20)))) = ((op2 (e22) (e22)) = (op2 (e20) (e22)))).
% 83.55/83.75 intro zenon_D_pnotp.
% 83.55/83.75 apply zenon_Heb.
% 83.55/83.75 rewrite <- zenon_D_pnotp.
% 83.55/83.75 exact zenon_H7a.
% 83.55/83.75 cut (((op2 (e20) (op2 (e20) (e20))) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H77].
% 83.55/83.75 cut (((e21) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hec].
% 83.55/83.75 congruence.
% 83.55/83.75 elim (classic ((op2 (e22) (e22)) = (op2 (e22) (e22)))); [ zenon_intro zenon_He9 | zenon_intro zenon_Hea ].
% 83.55/83.75 cut (((op2 (e22) (e22)) = (op2 (e22) (e22))) = ((e21) = (op2 (e22) (e22)))).
% 83.55/83.75 intro zenon_D_pnotp.
% 83.55/83.75 apply zenon_Hec.
% 83.55/83.75 rewrite <- zenon_D_pnotp.
% 83.55/83.75 exact zenon_He9.
% 83.55/83.75 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hea].
% 83.55/83.75 cut (((op2 (e22) (e22)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Hed].
% 83.55/83.75 congruence.
% 83.55/83.75 exact (zenon_Hed zenon_He7).
% 83.55/83.75 apply zenon_Hea. apply refl_equal.
% 83.55/83.75 apply zenon_Hea. apply refl_equal.
% 83.55/83.75 apply (zenon_L27_); trivial.
% 83.55/83.75 apply zenon_Hea. apply refl_equal.
% 83.55/83.75 apply zenon_Hea. apply refl_equal.
% 83.55/83.75 (* end of lemma zenon_L56_ *)
% 83.55/83.75 assert (zenon_L57_ : ((e22) = (op2 (e20) (e20))) -> ((op2 (e22) (e20)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> False).
% 83.55/83.75 do 0 intro. intros zenon_H78 zenon_Hee zenon_Hef.
% 83.55/83.75 elim (classic ((op2 (e22) (e20)) = (op2 (e22) (e20)))); [ zenon_intro zenon_Hf0 | zenon_intro zenon_Hf1 ].
% 83.55/83.75 cut (((op2 (e22) (e20)) = (op2 (e22) (e20))) = ((op2 (e20) (e20)) = (op2 (e22) (e20)))).
% 83.55/83.75 intro zenon_D_pnotp.
% 83.55/83.76 apply zenon_Hef.
% 83.55/83.76 rewrite <- zenon_D_pnotp.
% 83.55/83.76 exact zenon_Hf0.
% 83.55/83.76 cut (((op2 (e22) (e20)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hf1].
% 83.55/83.76 cut (((op2 (e22) (e20)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hf2].
% 83.55/83.76 congruence.
% 83.55/83.76 cut (((e22) = (op2 (e20) (e20))) = ((op2 (e22) (e20)) = (op2 (e20) (e20)))).
% 83.55/83.76 intro zenon_D_pnotp.
% 83.55/83.76 apply zenon_Hf2.
% 83.55/83.76 rewrite <- zenon_D_pnotp.
% 83.55/83.76 exact zenon_H78.
% 83.55/83.76 cut (((op2 (e20) (e20)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H84].
% 83.55/83.76 cut (((e22) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hf3].
% 83.55/83.76 congruence.
% 83.55/83.76 elim (classic ((op2 (e22) (e20)) = (op2 (e22) (e20)))); [ zenon_intro zenon_Hf0 | zenon_intro zenon_Hf1 ].
% 83.55/83.76 cut (((op2 (e22) (e20)) = (op2 (e22) (e20))) = ((e22) = (op2 (e22) (e20)))).
% 83.55/83.76 intro zenon_D_pnotp.
% 83.55/83.76 apply zenon_Hf3.
% 83.55/83.76 rewrite <- zenon_D_pnotp.
% 83.55/83.76 exact zenon_Hf0.
% 83.55/83.76 cut (((op2 (e22) (e20)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hf1].
% 83.55/83.76 cut (((op2 (e22) (e20)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Hf4].
% 83.55/83.76 congruence.
% 83.55/83.76 exact (zenon_Hf4 zenon_Hee).
% 83.55/83.76 apply zenon_Hf1. apply refl_equal.
% 83.55/83.76 apply zenon_Hf1. apply refl_equal.
% 83.55/83.76 apply zenon_H84. apply refl_equal.
% 83.55/83.76 apply zenon_Hf1. apply refl_equal.
% 83.55/83.76 apply zenon_Hf1. apply refl_equal.
% 83.55/83.76 (* end of lemma zenon_L57_ *)
% 83.55/83.76 assert (zenon_L58_ : ((op2 (e22) (e21)) = (e20)) -> ((op2 (e22) (e21)) = (e22)) -> (~((e20) = (e22))) -> False).
% 83.55/83.76 do 0 intro. intros zenon_He4 zenon_Hf5 zenon_Ha3.
% 83.55/83.76 elim (classic ((e22) = (e22))); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Ha1 ].
% 83.55/83.76 cut (((e22) = (e22)) = ((e20) = (e22))).
% 83.55/83.76 intro zenon_D_pnotp.
% 83.55/83.76 apply zenon_Ha3.
% 83.55/83.76 rewrite <- zenon_D_pnotp.
% 83.55/83.76 exact zenon_Ha4.
% 83.55/83.76 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Ha1].
% 83.55/83.76 cut (((e22) = (e20))); [idtac | apply NNPP; zenon_intro zenon_Ha5].
% 83.55/83.76 congruence.
% 83.55/83.76 cut (((op2 (e22) (e21)) = (e20)) = ((e22) = (e20))).
% 83.55/83.76 intro zenon_D_pnotp.
% 83.55/83.76 apply zenon_Ha5.
% 83.55/83.76 rewrite <- zenon_D_pnotp.
% 83.55/83.76 exact zenon_He4.
% 83.55/83.76 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H60].
% 83.55/83.76 cut (((op2 (e22) (e21)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Hf6].
% 83.55/83.76 congruence.
% 83.55/83.76 exact (zenon_Hf6 zenon_Hf5).
% 83.55/83.76 apply zenon_H60. apply refl_equal.
% 83.55/83.76 apply zenon_Ha1. apply refl_equal.
% 83.55/83.76 apply zenon_Ha1. apply refl_equal.
% 83.55/83.76 (* end of lemma zenon_L58_ *)
% 83.55/83.76 assert (zenon_L59_ : (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e21) (e22)) = (e22)) -> ((op2 (e22) (e22)) = (e22)) -> False).
% 83.55/83.76 do 0 intro. intros zenon_Hf7 zenon_Hf8 zenon_Hf9.
% 83.55/83.76 cut (((op2 (e21) (e22)) = (e22)) = ((op2 (e21) (e22)) = (op2 (e22) (e22)))).
% 83.55/83.76 intro zenon_D_pnotp.
% 83.55/83.76 apply zenon_Hf7.
% 83.55/83.76 rewrite <- zenon_D_pnotp.
% 83.55/83.76 exact zenon_Hf8.
% 83.55/83.76 cut (((e22) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hfa].
% 83.55/83.76 cut (((op2 (e21) (e22)) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hfb].
% 83.55/83.76 congruence.
% 83.55/83.76 apply zenon_Hfb. apply refl_equal.
% 83.55/83.76 apply zenon_Hfa. apply sym_equal. exact zenon_Hf9.
% 83.55/83.76 (* end of lemma zenon_L59_ *)
% 83.55/83.76 assert (zenon_L60_ : ((op2 (e22) (e23)) = (e21)) -> ((op2 (e22) (e23)) = (e22)) -> (~((e21) = (e22))) -> False).
% 83.55/83.76 do 0 intro. intros zenon_Hfc zenon_Hfd zenon_Ha8.
% 83.55/83.76 elim (classic ((e22) = (e22))); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Ha1 ].
% 83.55/83.76 cut (((e22) = (e22)) = ((e21) = (e22))).
% 83.55/83.76 intro zenon_D_pnotp.
% 83.55/83.76 apply zenon_Ha8.
% 83.55/83.76 rewrite <- zenon_D_pnotp.
% 83.55/83.76 exact zenon_Ha4.
% 83.55/83.76 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Ha1].
% 83.55/83.76 cut (((e22) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Ha9].
% 83.55/83.76 congruence.
% 83.55/83.76 cut (((op2 (e22) (e23)) = (e21)) = ((e22) = (e21))).
% 83.55/83.76 intro zenon_D_pnotp.
% 83.55/83.76 apply zenon_Ha9.
% 83.55/83.76 rewrite <- zenon_D_pnotp.
% 83.55/83.76 exact zenon_Hfc.
% 83.55/83.76 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Haf].
% 83.55/83.76 cut (((op2 (e22) (e23)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Hfe].
% 83.55/83.76 congruence.
% 83.55/83.76 exact (zenon_Hfe zenon_Hfd).
% 83.55/83.76 apply zenon_Haf. apply refl_equal.
% 83.55/83.76 apply zenon_Ha1. apply refl_equal.
% 83.55/83.76 apply zenon_Ha1. apply refl_equal.
% 83.55/83.76 (* end of lemma zenon_L60_ *)
% 83.55/83.76 assert (zenon_L61_ : (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> (~((e20) = (e22))) -> ((op2 (e22) (e21)) = (e20)) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e23)) = (e21)) -> (~((e21) = (e22))) -> False).
% 83.55/83.76 do 0 intro. intros zenon_Hff zenon_Hef zenon_H78 zenon_Ha3 zenon_He4 zenon_Hf8 zenon_Hf7 zenon_Hfc zenon_Ha8.
% 83.55/83.76 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Hee | zenon_intro zenon_H100 ].
% 83.55/83.76 apply (zenon_L57_); trivial.
% 83.55/83.76 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H101 ].
% 83.55/83.76 apply (zenon_L58_); trivial.
% 83.55/83.76 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_Hf9 | zenon_intro zenon_Hfd ].
% 83.55/83.76 apply (zenon_L59_); trivial.
% 83.55/83.76 apply (zenon_L60_); trivial.
% 83.55/83.76 (* end of lemma zenon_L61_ *)
% 83.55/83.76 assert (zenon_L62_ : (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> (~((e20) = (e22))) -> ((op2 (e22) (e21)) = (e20)) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e21) = (e22))) -> False).
% 83.55/83.76 do 0 intro. intros zenon_H102 zenon_H8a zenon_H5d zenon_Hc3 zenon_Hba zenon_Hbc zenon_Hb2 zenon_Hc9 zenon_Had zenon_He8 zenon_H7a zenon_Hff zenon_Hef zenon_H78 zenon_Ha3 zenon_He4 zenon_Hf8 zenon_Hf7 zenon_Ha8.
% 83.55/83.76 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hbb | zenon_intro zenon_H103 ].
% 83.55/83.76 apply (zenon_L47_); trivial.
% 83.55/83.76 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_He5 | zenon_intro zenon_H104 ].
% 83.55/83.76 apply (zenon_L55_); trivial.
% 83.55/83.76 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_He7 | zenon_intro zenon_Hfc ].
% 83.55/83.76 apply (zenon_L56_); trivial.
% 83.55/83.76 apply (zenon_L61_); trivial.
% 83.55/83.76 (* end of lemma zenon_L62_ *)
% 83.55/83.76 assert (zenon_L63_ : ((e22) = (op2 (e20) (e20))) -> ((op2 (e20) (e21)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> False).
% 83.55/83.76 do 0 intro. intros zenon_H78 zenon_H105 zenon_Hb2.
% 83.55/83.76 elim (classic ((op2 (e20) (e21)) = (op2 (e20) (e21)))); [ zenon_intro zenon_H106 | zenon_intro zenon_H107 ].
% 83.55/83.76 cut (((op2 (e20) (e21)) = (op2 (e20) (e21))) = ((op2 (e20) (e20)) = (op2 (e20) (e21)))).
% 83.55/83.76 intro zenon_D_pnotp.
% 83.55/83.76 apply zenon_Hb2.
% 83.55/83.76 rewrite <- zenon_D_pnotp.
% 83.55/83.76 exact zenon_H106.
% 83.55/83.76 cut (((op2 (e20) (e21)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H107].
% 83.55/83.76 cut (((op2 (e20) (e21)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H108].
% 83.55/83.76 congruence.
% 83.55/83.76 cut (((e22) = (op2 (e20) (e20))) = ((op2 (e20) (e21)) = (op2 (e20) (e20)))).
% 83.55/83.76 intro zenon_D_pnotp.
% 83.55/83.76 apply zenon_H108.
% 83.55/83.76 rewrite <- zenon_D_pnotp.
% 83.55/83.76 exact zenon_H78.
% 83.55/83.76 cut (((op2 (e20) (e20)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H84].
% 83.55/83.76 cut (((e22) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H109].
% 83.55/83.76 congruence.
% 83.55/83.76 elim (classic ((op2 (e20) (e21)) = (op2 (e20) (e21)))); [ zenon_intro zenon_H106 | zenon_intro zenon_H107 ].
% 83.55/83.76 cut (((op2 (e20) (e21)) = (op2 (e20) (e21))) = ((e22) = (op2 (e20) (e21)))).
% 83.55/83.76 intro zenon_D_pnotp.
% 83.55/83.76 apply zenon_H109.
% 83.55/83.76 rewrite <- zenon_D_pnotp.
% 83.55/83.76 exact zenon_H106.
% 83.55/83.76 cut (((op2 (e20) (e21)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H107].
% 83.55/83.76 cut (((op2 (e20) (e21)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H10a].
% 83.55/83.76 congruence.
% 83.55/83.76 exact (zenon_H10a zenon_H105).
% 83.55/83.76 apply zenon_H107. apply refl_equal.
% 83.55/83.76 apply zenon_H107. apply refl_equal.
% 83.55/83.76 apply zenon_H84. apply refl_equal.
% 83.55/83.76 apply zenon_H107. apply refl_equal.
% 83.55/83.76 apply zenon_H107. apply refl_equal.
% 83.55/83.76 (* end of lemma zenon_L63_ *)
% 83.55/83.76 assert (zenon_L64_ : ((op2 (e23) (e20)) = (e20)) -> ((op2 (e23) (e20)) = (e21)) -> (~((e20) = (e21))) -> False).
% 83.55/83.76 do 0 intro. intros zenon_H10b zenon_H10c zenon_Had.
% 83.55/83.76 elim (classic ((e21) = (e21))); [ zenon_intro zenon_Hae | zenon_intro zenon_Haf ].
% 83.55/83.76 cut (((e21) = (e21)) = ((e20) = (e21))).
% 83.55/83.76 intro zenon_D_pnotp.
% 83.55/83.76 apply zenon_Had.
% 83.55/83.76 rewrite <- zenon_D_pnotp.
% 83.55/83.76 exact zenon_Hae.
% 83.55/83.76 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Haf].
% 83.55/83.76 cut (((e21) = (e20))); [idtac | apply NNPP; zenon_intro zenon_Hb0].
% 83.55/83.76 congruence.
% 83.55/83.76 cut (((op2 (e23) (e20)) = (e20)) = ((e21) = (e20))).
% 83.55/83.76 intro zenon_D_pnotp.
% 83.55/83.76 apply zenon_Hb0.
% 83.55/83.76 rewrite <- zenon_D_pnotp.
% 83.55/83.76 exact zenon_H10b.
% 83.55/83.76 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H60].
% 83.55/83.76 cut (((op2 (e23) (e20)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H10d].
% 83.55/83.76 congruence.
% 83.55/83.76 exact (zenon_H10d zenon_H10c).
% 83.55/83.76 apply zenon_H60. apply refl_equal.
% 83.55/83.76 apply zenon_Haf. apply refl_equal.
% 83.55/83.76 apply zenon_Haf. apply refl_equal.
% 83.55/83.76 (* end of lemma zenon_L64_ *)
% 83.55/83.76 assert (zenon_L65_ : ((op2 (e23) (e21)) = (e21)) -> ((op2 (e23) (e21)) = (e22)) -> (~((e21) = (e22))) -> False).
% 83.55/83.76 do 0 intro. intros zenon_H10e zenon_H10f zenon_Ha8.
% 83.55/83.76 elim (classic ((e22) = (e22))); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Ha1 ].
% 83.55/83.76 cut (((e22) = (e22)) = ((e21) = (e22))).
% 83.55/83.76 intro zenon_D_pnotp.
% 83.55/83.76 apply zenon_Ha8.
% 83.55/83.76 rewrite <- zenon_D_pnotp.
% 83.55/83.76 exact zenon_Ha4.
% 83.55/83.76 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Ha1].
% 83.55/83.76 cut (((e22) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Ha9].
% 83.55/83.76 congruence.
% 83.55/83.76 cut (((op2 (e23) (e21)) = (e21)) = ((e22) = (e21))).
% 83.55/83.76 intro zenon_D_pnotp.
% 83.55/83.76 apply zenon_Ha9.
% 83.55/83.76 rewrite <- zenon_D_pnotp.
% 83.55/83.76 exact zenon_H10e.
% 83.55/83.76 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Haf].
% 83.55/83.76 cut (((op2 (e23) (e21)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H110].
% 83.55/83.76 congruence.
% 83.55/83.76 exact (zenon_H110 zenon_H10f).
% 83.55/83.76 apply zenon_Haf. apply refl_equal.
% 83.55/83.76 apply zenon_Ha1. apply refl_equal.
% 83.55/83.76 apply zenon_Ha1. apply refl_equal.
% 83.55/83.76 (* end of lemma zenon_L65_ *)
% 83.55/83.76 assert (zenon_L66_ : ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((op2 (e23) (e22)) = (e21)) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> False).
% 83.55/83.76 do 0 intro. intros zenon_H7a zenon_H111 zenon_H78 zenon_H112.
% 83.55/83.76 elim (classic ((op2 (e23) (e22)) = (op2 (e23) (e22)))); [ zenon_intro zenon_H113 | zenon_intro zenon_H114 ].
% 83.55/83.76 cut (((op2 (e23) (e22)) = (op2 (e23) (e22))) = ((op2 (e20) (e22)) = (op2 (e23) (e22)))).
% 83.55/83.76 intro zenon_D_pnotp.
% 83.55/83.76 apply zenon_H112.
% 83.55/83.76 rewrite <- zenon_D_pnotp.
% 83.55/83.76 exact zenon_H113.
% 83.55/83.76 cut (((op2 (e23) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H114].
% 83.55/83.76 cut (((op2 (e23) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H115].
% 83.55/83.76 congruence.
% 83.55/83.76 cut (((e21) = (op2 (e20) (op2 (e20) (e20)))) = ((op2 (e23) (e22)) = (op2 (e20) (e22)))).
% 83.55/83.76 intro zenon_D_pnotp.
% 83.55/83.76 apply zenon_H115.
% 83.55/83.76 rewrite <- zenon_D_pnotp.
% 83.55/83.76 exact zenon_H7a.
% 83.55/83.76 cut (((op2 (e20) (op2 (e20) (e20))) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H77].
% 83.55/83.76 cut (((e21) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H116].
% 83.55/83.76 congruence.
% 83.55/83.76 elim (classic ((op2 (e23) (e22)) = (op2 (e23) (e22)))); [ zenon_intro zenon_H113 | zenon_intro zenon_H114 ].
% 83.55/83.76 cut (((op2 (e23) (e22)) = (op2 (e23) (e22))) = ((e21) = (op2 (e23) (e22)))).
% 83.55/83.76 intro zenon_D_pnotp.
% 83.55/83.76 apply zenon_H116.
% 83.55/83.76 rewrite <- zenon_D_pnotp.
% 83.55/83.76 exact zenon_H113.
% 83.55/83.76 cut (((op2 (e23) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H114].
% 83.55/83.76 cut (((op2 (e23) (e22)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H117].
% 83.55/83.76 congruence.
% 83.55/83.76 exact (zenon_H117 zenon_H111).
% 83.55/83.76 apply zenon_H114. apply refl_equal.
% 83.55/83.76 apply zenon_H114. apply refl_equal.
% 83.55/83.76 apply (zenon_L27_); trivial.
% 83.55/83.76 apply zenon_H114. apply refl_equal.
% 83.55/83.76 apply zenon_H114. apply refl_equal.
% 83.55/83.76 (* end of lemma zenon_L66_ *)
% 83.55/83.76 assert (zenon_L67_ : (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> ((op2 (e20) (e21)) = (e23)) -> ((op2 (e23) (e23)) = (e21)) -> False).
% 83.55/83.76 do 0 intro. intros zenon_H118 zenon_Hba zenon_Hb8 zenon_H119.
% 83.55/83.76 cut (((op2 (op2 (e20) (e21)) (e20)) = (e21)) = ((op2 (e23) (e20)) = (op2 (e23) (e23)))).
% 83.55/83.76 intro zenon_D_pnotp.
% 83.55/83.76 apply zenon_H118.
% 83.55/83.76 rewrite <- zenon_D_pnotp.
% 83.55/83.76 exact zenon_Hba.
% 83.55/83.76 cut (((e21) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H11a].
% 83.55/83.76 cut (((op2 (op2 (e20) (e21)) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hc1].
% 83.55/83.76 congruence.
% 83.55/83.76 elim (classic ((op2 (e23) (e20)) = (op2 (e23) (e20)))); [ zenon_intro zenon_Hbd | zenon_intro zenon_Hbe ].
% 83.55/83.76 cut (((op2 (e23) (e20)) = (op2 (e23) (e20))) = ((op2 (op2 (e20) (e21)) (e20)) = (op2 (e23) (e20)))).
% 83.55/83.76 intro zenon_D_pnotp.
% 83.55/83.76 apply zenon_Hc1.
% 83.55/83.76 rewrite <- zenon_D_pnotp.
% 83.55/83.76 exact zenon_Hbd.
% 83.55/83.76 cut (((op2 (e23) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hbe].
% 83.55/83.76 cut (((op2 (e23) (e20)) = (op2 (op2 (e20) (e21)) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hb7].
% 83.55/83.76 congruence.
% 83.55/83.76 apply (zenon_L44_); trivial.
% 83.55/83.76 apply zenon_Hbe. apply refl_equal.
% 83.55/83.76 apply zenon_Hbe. apply refl_equal.
% 83.55/83.76 apply zenon_H11a. apply sym_equal. exact zenon_H119.
% 83.55/83.76 (* end of lemma zenon_L67_ *)
% 83.55/83.76 assert (zenon_L68_ : (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e20) = (e21))) -> ((op2 (e23) (e20)) = (e20)) -> (~((e21) = (e22))) -> ((op2 (e23) (e21)) = (e22)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> ((op2 (e20) (e21)) = (e23)) -> False).
% 83.55/83.76 do 0 intro. intros zenon_H11b zenon_Had zenon_H10b zenon_Ha8 zenon_H10f zenon_H112 zenon_H78 zenon_H7a zenon_H118 zenon_Hba zenon_Hb8.
% 83.55/83.76 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10c | zenon_intro zenon_H11c ].
% 83.55/83.76 apply (zenon_L64_); trivial.
% 83.55/83.76 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H10e | zenon_intro zenon_H11d ].
% 83.55/83.76 apply (zenon_L65_); trivial.
% 83.55/83.76 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H111 | zenon_intro zenon_H119 ].
% 83.55/83.76 apply (zenon_L66_); trivial.
% 83.55/83.76 apply (zenon_L67_); trivial.
% 83.55/83.76 (* end of lemma zenon_L68_ *)
% 83.55/83.76 assert (zenon_L69_ : ((op2 (e23) (e21)) = (e20)) -> ((op2 (e23) (e21)) = (e22)) -> (~((e20) = (e22))) -> False).
% 83.55/83.76 do 0 intro. intros zenon_H11e zenon_H10f zenon_Ha3.
% 83.55/83.76 elim (classic ((e22) = (e22))); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Ha1 ].
% 83.55/83.76 cut (((e22) = (e22)) = ((e20) = (e22))).
% 83.55/83.76 intro zenon_D_pnotp.
% 83.55/83.76 apply zenon_Ha3.
% 83.55/83.76 rewrite <- zenon_D_pnotp.
% 83.55/83.76 exact zenon_Ha4.
% 83.55/83.76 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Ha1].
% 83.55/83.76 cut (((e22) = (e20))); [idtac | apply NNPP; zenon_intro zenon_Ha5].
% 83.55/83.76 congruence.
% 83.55/83.76 cut (((op2 (e23) (e21)) = (e20)) = ((e22) = (e20))).
% 83.55/83.76 intro zenon_D_pnotp.
% 83.55/83.76 apply zenon_Ha5.
% 83.55/83.76 rewrite <- zenon_D_pnotp.
% 83.55/83.76 exact zenon_H11e.
% 83.55/83.76 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H60].
% 83.55/83.76 cut (((op2 (e23) (e21)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H110].
% 83.55/83.76 congruence.
% 83.55/83.76 exact (zenon_H110 zenon_H10f).
% 83.55/83.76 apply zenon_H60. apply refl_equal.
% 83.55/83.76 apply zenon_Ha1. apply refl_equal.
% 83.55/83.76 apply zenon_Ha1. apply refl_equal.
% 83.55/83.76 (* end of lemma zenon_L69_ *)
% 83.55/83.76 assert (zenon_L70_ : (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e22)) = (e20)) -> ((op2 (e23) (e22)) = (e20)) -> False).
% 83.55/83.76 do 0 intro. intros zenon_H11f zenon_H120 zenon_H121.
% 83.55/83.76 cut (((op2 (e21) (e22)) = (e20)) = ((op2 (e21) (e22)) = (op2 (e23) (e22)))).
% 83.55/83.76 intro zenon_D_pnotp.
% 83.55/83.76 apply zenon_H11f.
% 83.55/83.76 rewrite <- zenon_D_pnotp.
% 83.55/83.76 exact zenon_H120.
% 83.55/83.76 cut (((e20) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H122].
% 83.55/83.76 cut (((op2 (e21) (e22)) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hfb].
% 83.55/83.76 congruence.
% 83.55/83.76 apply zenon_Hfb. apply refl_equal.
% 83.55/83.76 apply zenon_H122. apply sym_equal. exact zenon_H121.
% 83.55/83.76 (* end of lemma zenon_L70_ *)
% 83.55/83.76 assert (zenon_L71_ : ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((op2 (e21) (e22)) = (e21)) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> False).
% 83.55/83.76 do 0 intro. intros zenon_H7a zenon_H123 zenon_H78 zenon_H124.
% 83.55/83.76 elim (classic ((op2 (e21) (e22)) = (op2 (e21) (e22)))); [ zenon_intro zenon_H125 | zenon_intro zenon_Hfb ].
% 83.55/83.76 cut (((op2 (e21) (e22)) = (op2 (e21) (e22))) = ((op2 (e20) (e22)) = (op2 (e21) (e22)))).
% 83.55/83.76 intro zenon_D_pnotp.
% 83.55/83.76 apply zenon_H124.
% 83.55/83.76 rewrite <- zenon_D_pnotp.
% 83.55/83.76 exact zenon_H125.
% 83.55/83.76 cut (((op2 (e21) (e22)) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hfb].
% 83.55/83.76 cut (((op2 (e21) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H126].
% 83.55/83.76 congruence.
% 83.55/83.76 cut (((e21) = (op2 (e20) (op2 (e20) (e20)))) = ((op2 (e21) (e22)) = (op2 (e20) (e22)))).
% 83.55/83.76 intro zenon_D_pnotp.
% 83.55/83.76 apply zenon_H126.
% 83.55/83.76 rewrite <- zenon_D_pnotp.
% 83.55/83.76 exact zenon_H7a.
% 83.55/83.76 cut (((op2 (e20) (op2 (e20) (e20))) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H77].
% 83.55/83.76 cut (((e21) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H127].
% 83.55/83.76 congruence.
% 83.55/83.76 elim (classic ((op2 (e21) (e22)) = (op2 (e21) (e22)))); [ zenon_intro zenon_H125 | zenon_intro zenon_Hfb ].
% 83.55/83.76 cut (((op2 (e21) (e22)) = (op2 (e21) (e22))) = ((e21) = (op2 (e21) (e22)))).
% 83.55/83.76 intro zenon_D_pnotp.
% 83.55/83.76 apply zenon_H127.
% 83.55/83.76 rewrite <- zenon_D_pnotp.
% 83.55/83.76 exact zenon_H125.
% 83.55/83.76 cut (((op2 (e21) (e22)) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hfb].
% 83.55/83.76 cut (((op2 (e21) (e22)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H128].
% 83.55/83.76 congruence.
% 83.55/83.76 exact (zenon_H128 zenon_H123).
% 83.55/83.76 apply zenon_Hfb. apply refl_equal.
% 83.55/83.76 apply zenon_Hfb. apply refl_equal.
% 83.55/83.76 apply (zenon_L27_); trivial.
% 83.55/83.76 apply zenon_Hfb. apply refl_equal.
% 83.55/83.76 apply zenon_Hfb. apply refl_equal.
% 83.55/83.76 (* end of lemma zenon_L71_ *)
% 83.55/83.76 assert (zenon_L72_ : (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (e20)) = (e23)) -> ((op2 (e21) (e22)) = (e23)) -> False).
% 83.55/83.76 do 0 intro. intros zenon_H129 zenon_Hd5 zenon_H12a.
% 83.55/83.76 cut (((op2 (e21) (e20)) = (e23)) = ((op2 (e21) (e20)) = (op2 (e21) (e22)))).
% 83.55/83.76 intro zenon_D_pnotp.
% 83.55/83.76 apply zenon_H129.
% 83.55/83.76 rewrite <- zenon_D_pnotp.
% 83.55/83.76 exact zenon_Hd5.
% 83.55/83.76 cut (((e23) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H12b].
% 83.55/83.76 cut (((op2 (e21) (e20)) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hd4].
% 83.55/83.76 congruence.
% 83.55/83.76 apply zenon_Hd4. apply refl_equal.
% 83.55/83.76 apply zenon_H12b. apply sym_equal. exact zenon_H12a.
% 83.55/83.76 (* end of lemma zenon_L72_ *)
% 83.55/83.76 assert (zenon_L73_ : (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> ((op2 (e23) (e22)) = (e20)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((op2 (e22) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (e20)) = (e23)) -> False).
% 83.55/83.76 do 0 intro. intros zenon_H12c zenon_H121 zenon_H11f zenon_H124 zenon_H78 zenon_H7a zenon_Hf9 zenon_Hf7 zenon_H129 zenon_Hd5.
% 83.55/83.76 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H120 | zenon_intro zenon_H12d ].
% 83.55/83.76 apply (zenon_L70_); trivial.
% 83.55/83.76 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H123 | zenon_intro zenon_H12e ].
% 83.55/83.76 apply (zenon_L71_); trivial.
% 83.55/83.76 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H12a ].
% 83.55/83.76 apply (zenon_L59_); trivial.
% 83.55/83.76 apply (zenon_L72_); trivial.
% 83.55/83.76 (* end of lemma zenon_L73_ *)
% 83.55/83.76 assert (zenon_L74_ : (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (e23)) = (e22)) -> ((op2 (e22) (e23)) = (e22)) -> False).
% 83.55/83.76 do 0 intro. intros zenon_H12f zenon_H130 zenon_Hfd.
% 83.55/83.76 cut (((op2 (e21) (e23)) = (e22)) = ((op2 (e21) (e23)) = (op2 (e22) (e23)))).
% 83.55/83.76 intro zenon_D_pnotp.
% 83.55/83.76 apply zenon_H12f.
% 83.55/83.76 rewrite <- zenon_D_pnotp.
% 83.55/83.76 exact zenon_H130.
% 83.55/83.76 cut (((e22) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H131].
% 83.55/83.76 cut (((op2 (e21) (e23)) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H132].
% 83.55/83.76 congruence.
% 83.55/83.76 apply zenon_H132. apply refl_equal.
% 83.55/83.76 apply zenon_H131. apply sym_equal. exact zenon_Hfd.
% 83.55/83.76 (* end of lemma zenon_L74_ *)
% 83.55/83.76 assert (zenon_L75_ : (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((op2 (e21) (e21)) = (e21)) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e22) (e21)) = (e20)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (e20)) = (e23)) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e20) = (e21))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> ((op2 (e20) (e21)) = (e23)) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (e23)) = (e22)) -> False).
% 83.55/83.76 do 0 intro. intros zenon_H133 zenon_Hb2 zenon_He1 zenon_Hff zenon_Hef zenon_He4 zenon_H8a zenon_H7a zenon_H5d zenon_H78 zenon_H82 zenon_H7c zenon_H94 zenon_H8e zenon_H12c zenon_H11f zenon_H124 zenon_Hf7 zenon_H129 zenon_Hd5 zenon_Ha3 zenon_H11b zenon_Had zenon_Ha8 zenon_H112 zenon_H118 zenon_Hba zenon_Hb8 zenon_H134 zenon_H12f zenon_H130.
% 83.55/83.76 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H105 | zenon_intro zenon_H135 ].
% 83.55/83.76 apply (zenon_L63_); trivial.
% 83.55/83.76 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_He2 | zenon_intro zenon_H136 ].
% 83.55/83.76 apply (zenon_L54_); trivial.
% 83.55/83.76 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H10f ].
% 83.55/83.76 apply (zenon_L58_); trivial.
% 83.55/83.76 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Hee | zenon_intro zenon_H100 ].
% 83.55/83.76 apply (zenon_L57_); trivial.
% 83.55/83.76 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H101 ].
% 83.55/83.76 apply (zenon_L58_); trivial.
% 83.55/83.76 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_Hf9 | zenon_intro zenon_Hfd ].
% 83.55/83.76 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H10b | zenon_intro zenon_H137 ].
% 83.55/83.76 apply (zenon_L68_); trivial.
% 83.55/83.76 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H11e | zenon_intro zenon_H138 ].
% 83.55/83.76 apply (zenon_L69_); trivial.
% 83.55/83.76 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H121 | zenon_intro zenon_H95 ].
% 83.55/83.76 apply (zenon_L73_); trivial.
% 83.55/83.76 apply (zenon_L36_); trivial.
% 83.55/83.76 apply (zenon_L74_); trivial.
% 83.55/83.76 (* end of lemma zenon_L75_ *)
% 83.55/83.76 assert (zenon_L76_ : (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((op2 (e20) (e21)) = (e21)) -> ((e22) = (op2 (e20) (e20))) -> False).
% 83.55/83.76 do 0 intro. intros zenon_Hc3 zenon_H7a zenon_H139 zenon_H78.
% 83.55/83.76 cut (((e21) = (op2 (e20) (op2 (e20) (e20)))) = ((op2 (e20) (e21)) = (op2 (e20) (e22)))).
% 83.55/83.76 intro zenon_D_pnotp.
% 83.55/83.76 apply zenon_Hc3.
% 83.55/83.76 rewrite <- zenon_D_pnotp.
% 83.55/83.76 exact zenon_H7a.
% 83.55/83.76 cut (((op2 (e20) (op2 (e20) (e20))) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H77].
% 83.55/83.76 cut (((e21) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H13a].
% 83.55/83.76 congruence.
% 83.55/83.76 elim (classic ((op2 (e20) (e21)) = (op2 (e20) (e21)))); [ zenon_intro zenon_H106 | zenon_intro zenon_H107 ].
% 83.55/83.76 cut (((op2 (e20) (e21)) = (op2 (e20) (e21))) = ((e21) = (op2 (e20) (e21)))).
% 83.55/83.76 intro zenon_D_pnotp.
% 83.55/83.76 apply zenon_H13a.
% 83.55/83.76 rewrite <- zenon_D_pnotp.
% 83.55/83.76 exact zenon_H106.
% 83.55/83.76 cut (((op2 (e20) (e21)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H107].
% 83.55/83.76 cut (((op2 (e20) (e21)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H13b].
% 83.55/83.76 congruence.
% 83.55/83.76 exact (zenon_H13b zenon_H139).
% 83.55/83.76 apply zenon_H107. apply refl_equal.
% 83.55/83.76 apply zenon_H107. apply refl_equal.
% 83.55/83.76 apply (zenon_L27_); trivial.
% 83.55/83.76 (* end of lemma zenon_L76_ *)
% 83.55/83.76 assert (zenon_L77_ : ((op2 (e21) (e23)) = (e21)) -> ((op2 (e21) (e23)) = (e22)) -> (~((e21) = (e22))) -> False).
% 83.55/83.76 do 0 intro. intros zenon_H13c zenon_H130 zenon_Ha8.
% 83.55/83.76 elim (classic ((e22) = (e22))); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Ha1 ].
% 83.55/83.76 cut (((e22) = (e22)) = ((e21) = (e22))).
% 83.55/83.76 intro zenon_D_pnotp.
% 83.55/83.76 apply zenon_Ha8.
% 83.55/83.76 rewrite <- zenon_D_pnotp.
% 83.55/83.76 exact zenon_Ha4.
% 83.55/83.76 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Ha1].
% 83.55/83.76 cut (((e22) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Ha9].
% 83.55/83.76 congruence.
% 83.55/83.76 cut (((op2 (e21) (e23)) = (e21)) = ((e22) = (e21))).
% 83.55/83.76 intro zenon_D_pnotp.
% 83.55/83.76 apply zenon_Ha9.
% 83.55/83.76 rewrite <- zenon_D_pnotp.
% 83.55/83.76 exact zenon_H13c.
% 83.55/83.76 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Haf].
% 83.55/83.76 cut (((op2 (e21) (e23)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H13d].
% 83.55/83.76 congruence.
% 83.55/83.76 exact (zenon_H13d zenon_H130).
% 83.55/83.76 apply zenon_Haf. apply refl_equal.
% 83.55/83.76 apply zenon_Ha1. apply refl_equal.
% 83.55/83.76 apply zenon_Ha1. apply refl_equal.
% 83.55/83.76 (* end of lemma zenon_L77_ *)
% 83.55/83.76 assert (zenon_L78_ : (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> ((op2 (e20) (e21)) = (e23)) -> ((op2 (e23) (e21)) = (e21)) -> False).
% 83.55/83.76 do 0 intro. intros zenon_H13e zenon_Hba zenon_Hb8 zenon_H10e.
% 83.55/83.76 cut (((op2 (op2 (e20) (e21)) (e20)) = (e21)) = ((op2 (e23) (e20)) = (op2 (e23) (e21)))).
% 83.55/83.76 intro zenon_D_pnotp.
% 83.55/83.76 apply zenon_H13e.
% 83.55/83.76 rewrite <- zenon_D_pnotp.
% 83.55/83.76 exact zenon_Hba.
% 83.55/83.76 cut (((e21) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H13f].
% 83.55/83.76 cut (((op2 (op2 (e20) (e21)) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hc1].
% 83.55/83.76 congruence.
% 83.55/83.76 elim (classic ((op2 (e23) (e20)) = (op2 (e23) (e20)))); [ zenon_intro zenon_Hbd | zenon_intro zenon_Hbe ].
% 83.55/83.76 cut (((op2 (e23) (e20)) = (op2 (e23) (e20))) = ((op2 (op2 (e20) (e21)) (e20)) = (op2 (e23) (e20)))).
% 83.55/83.76 intro zenon_D_pnotp.
% 83.55/83.76 apply zenon_Hc1.
% 83.55/83.76 rewrite <- zenon_D_pnotp.
% 83.55/83.76 exact zenon_Hbd.
% 83.55/83.76 cut (((op2 (e23) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hbe].
% 83.55/83.76 cut (((op2 (e23) (e20)) = (op2 (op2 (e20) (e21)) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hb7].
% 83.55/83.76 congruence.
% 83.55/83.76 apply (zenon_L44_); trivial.
% 83.55/83.76 apply zenon_Hbe. apply refl_equal.
% 83.55/83.76 apply zenon_Hbe. apply refl_equal.
% 83.55/83.76 apply zenon_H13f. apply sym_equal. exact zenon_H10e.
% 83.55/83.76 (* end of lemma zenon_L78_ *)
% 83.55/83.76 assert (zenon_L79_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e21) = (e23))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> ((op2 (e21) (e20)) = (e23)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((e21) = (e22))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> (~((e20) = (e22))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((e20) = (e21))) -> ((op2 (e22) (e21)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> ((op2 (e20) (e21)) = (e23)) -> False).
% 83.55/83.76 do 0 intro. intros zenon_H140 zenon_Hd6 zenon_H12f zenon_H134 zenon_H118 zenon_H112 zenon_H11b zenon_Hd5 zenon_H129 zenon_H11f zenon_H12c zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H133 zenon_H124 zenon_H141 zenon_Ha8 zenon_H102 zenon_H8a zenon_H5d zenon_Hc3 zenon_Hbc zenon_Hb2 zenon_Hc9 zenon_He8 zenon_H7a zenon_Hff zenon_Hef zenon_H78 zenon_Ha3 zenon_Hf7 zenon_Hdc zenon_H142 zenon_Had zenon_He4 zenon_H13e zenon_Hba zenon_Hb8.
% 83.55/83.76 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ].
% 83.55/83.76 apply (zenon_L52_); trivial.
% 83.55/83.76 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ].
% 83.55/83.76 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 83.55/83.76 apply (zenon_L53_); trivial.
% 83.55/83.76 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_He2 | zenon_intro zenon_H146 ].
% 83.55/83.76 apply (zenon_L54_); trivial.
% 83.55/83.76 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H130 ].
% 83.55/83.76 apply (zenon_L62_); trivial.
% 83.55/83.76 apply (zenon_L75_); trivial.
% 83.55/83.76 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ].
% 83.55/83.76 apply (zenon_L71_); trivial.
% 83.55/83.76 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H139 | zenon_intro zenon_H147 ].
% 83.55/83.76 apply (zenon_L76_); trivial.
% 83.55/83.76 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_He1 | zenon_intro zenon_H148 ].
% 83.55/83.76 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 83.55/83.76 apply (zenon_L53_); trivial.
% 83.55/83.76 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_He2 | zenon_intro zenon_H146 ].
% 83.55/83.76 apply (zenon_L54_); trivial.
% 83.55/83.76 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H130 ].
% 83.55/83.76 apply (zenon_L62_); trivial.
% 83.55/83.76 apply (zenon_L77_); trivial.
% 83.55/83.76 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_He5 | zenon_intro zenon_H10e ].
% 83.55/83.76 apply (zenon_L55_); trivial.
% 83.55/83.76 apply (zenon_L78_); trivial.
% 83.55/83.76 (* end of lemma zenon_L79_ *)
% 83.55/83.76 assert (zenon_L80_ : (~((op2 (op2 (e20) (e21)) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e20) (e21)) = (e23)) -> False).
% 83.55/83.76 do 0 intro. intros zenon_H149 zenon_Hb8.
% 83.55/83.76 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Haf].
% 83.55/83.76 cut (((op2 (e20) (e21)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H14a].
% 83.55/83.76 congruence.
% 83.55/83.76 exact (zenon_H14a zenon_Hb8).
% 83.55/83.76 apply zenon_Haf. apply refl_equal.
% 83.55/83.76 (* end of lemma zenon_L80_ *)
% 83.55/83.76 assert (zenon_L81_ : (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> ((op2 (e23) (e21)) = (e20)) -> ((op2 (e20) (e21)) = (e23)) -> False).
% 83.55/83.76 do 0 intro. intros zenon_H14b zenon_H11e zenon_Hb8.
% 83.55/83.76 cut (((op2 (e23) (e21)) = (e20)) = ((op2 (op2 (e20) (e21)) (e21)) = (e20))).
% 83.55/83.76 intro zenon_D_pnotp.
% 83.55/83.76 apply zenon_H14b.
% 83.55/83.76 rewrite <- zenon_D_pnotp.
% 83.55/83.76 exact zenon_H11e.
% 83.55/83.76 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H60].
% 83.55/83.76 cut (((op2 (e23) (e21)) = (op2 (op2 (e20) (e21)) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H14c].
% 83.55/83.76 congruence.
% 83.55/83.76 elim (classic ((op2 (op2 (e20) (e21)) (e21)) = (op2 (op2 (e20) (e21)) (e21)))); [ zenon_intro zenon_H14d | zenon_intro zenon_H14e ].
% 83.55/83.76 cut (((op2 (op2 (e20) (e21)) (e21)) = (op2 (op2 (e20) (e21)) (e21))) = ((op2 (e23) (e21)) = (op2 (op2 (e20) (e21)) (e21)))).
% 83.55/83.76 intro zenon_D_pnotp.
% 83.55/83.76 apply zenon_H14c.
% 83.55/83.76 rewrite <- zenon_D_pnotp.
% 83.55/83.76 exact zenon_H14d.
% 83.55/83.76 cut (((op2 (op2 (e20) (e21)) (e21)) = (op2 (op2 (e20) (e21)) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H14e].
% 83.55/83.76 cut (((op2 (op2 (e20) (e21)) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H149].
% 83.55/83.76 congruence.
% 83.55/83.76 apply (zenon_L80_); trivial.
% 83.55/83.76 apply zenon_H14e. apply refl_equal.
% 83.55/83.76 apply zenon_H14e. apply refl_equal.
% 83.55/83.76 apply zenon_H60. apply refl_equal.
% 83.55/83.76 (* end of lemma zenon_L81_ *)
% 83.55/83.76 assert (zenon_L82_ : (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((op2 (e21) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((e20) = (e21))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e20) = (e22))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((e21) = (e22))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (e20)) = (e23)) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((e21) = (e23))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> ((op2 (e20) (e21)) = (e23)) -> False).
% 83.55/83.76 do 0 intro. intros zenon_H14f zenon_H91 zenon_H73 zenon_Hce zenon_Hab zenon_Hd1 zenon_Hba zenon_H13e zenon_Had zenon_H142 zenon_Hdc zenon_Hf7 zenon_Ha3 zenon_H78 zenon_Hef zenon_Hff zenon_H7a zenon_He8 zenon_Hc9 zenon_Hb2 zenon_Hbc zenon_Hc3 zenon_H5d zenon_H8a zenon_H102 zenon_Ha8 zenon_H141 zenon_H124 zenon_H133 zenon_H82 zenon_H7c zenon_H94 zenon_H8e zenon_H12c zenon_H11f zenon_H129 zenon_Hd5 zenon_H11b zenon_H112 zenon_H118 zenon_H134 zenon_H12f zenon_Hd6 zenon_H140 zenon_H14b zenon_Hb8.
% 83.55/83.76 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ].
% 83.55/83.76 apply (zenon_L49_); trivial.
% 83.55/83.76 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ].
% 83.55/83.76 apply (zenon_L50_); trivial.
% 83.55/83.76 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ].
% 83.55/83.76 apply (zenon_L79_); trivial.
% 83.55/83.76 apply (zenon_L81_); trivial.
% 83.55/83.76 (* end of lemma zenon_L82_ *)
% 83.55/83.76 assert (zenon_L83_ : ((op2 (e22) (e20)) = (e21)) -> ((op2 (e22) (e20)) = (e23)) -> (~((e21) = (e23))) -> False).
% 83.55/83.76 do 0 intro. intros zenon_Hbb zenon_H152 zenon_Hd6.
% 83.55/83.76 elim (classic ((e23) = (e23))); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hd8 ].
% 83.55/83.76 cut (((e23) = (e23)) = ((e21) = (e23))).
% 83.55/83.76 intro zenon_D_pnotp.
% 83.55/83.76 apply zenon_Hd6.
% 83.55/83.76 rewrite <- zenon_D_pnotp.
% 83.55/83.76 exact zenon_Hd7.
% 83.55/83.76 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_Hd8].
% 83.55/83.76 cut (((e23) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Hd9].
% 83.55/83.76 congruence.
% 83.55/83.76 cut (((op2 (e22) (e20)) = (e21)) = ((e23) = (e21))).
% 83.55/83.76 intro zenon_D_pnotp.
% 83.55/83.76 apply zenon_Hd9.
% 83.55/83.76 rewrite <- zenon_D_pnotp.
% 83.55/83.76 exact zenon_Hbb.
% 83.55/83.76 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Haf].
% 83.55/83.76 cut (((op2 (e22) (e20)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H153].
% 83.55/83.76 congruence.
% 83.55/83.76 exact (zenon_H153 zenon_H152).
% 83.55/83.76 apply zenon_Haf. apply refl_equal.
% 83.55/83.76 apply zenon_Hd8. apply refl_equal.
% 83.55/83.76 apply zenon_Hd8. apply refl_equal.
% 83.55/83.76 (* end of lemma zenon_L83_ *)
% 83.55/83.76 assert (zenon_L84_ : (~((op2 (e22) (op2 (e20) (e20))) = (op2 (e22) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> False).
% 83.55/83.76 do 0 intro. intros zenon_H154 zenon_H78.
% 83.55/83.76 cut (((op2 (e20) (e20)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H79].
% 83.55/83.76 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Ha1].
% 83.55/83.76 congruence.
% 83.55/83.76 apply zenon_Ha1. apply refl_equal.
% 83.55/83.76 apply zenon_H79. apply sym_equal. exact zenon_H78.
% 83.55/83.76 (* end of lemma zenon_L84_ *)
% 83.55/83.76 assert (zenon_L85_ : (~((op2 (e22) (op2 (e20) (e20))) = (e22))) -> ((op2 (e22) (e22)) = (e22)) -> ((e22) = (op2 (e20) (e20))) -> False).
% 83.55/83.76 do 0 intro. intros zenon_H155 zenon_Hf9 zenon_H78.
% 83.55/83.76 cut (((op2 (e22) (e22)) = (e22)) = ((op2 (e22) (op2 (e20) (e20))) = (e22))).
% 83.55/83.76 intro zenon_D_pnotp.
% 83.55/83.76 apply zenon_H155.
% 83.55/83.76 rewrite <- zenon_D_pnotp.
% 83.55/83.76 exact zenon_Hf9.
% 83.55/83.76 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Ha1].
% 83.55/83.76 cut (((op2 (e22) (e22)) = (op2 (e22) (op2 (e20) (e20))))); [idtac | apply NNPP; zenon_intro zenon_H156].
% 83.55/83.76 congruence.
% 83.55/83.76 elim (classic ((op2 (e22) (op2 (e20) (e20))) = (op2 (e22) (op2 (e20) (e20))))); [ zenon_intro zenon_H157 | zenon_intro zenon_H158 ].
% 83.55/83.76 cut (((op2 (e22) (op2 (e20) (e20))) = (op2 (e22) (op2 (e20) (e20)))) = ((op2 (e22) (e22)) = (op2 (e22) (op2 (e20) (e20))))).
% 83.55/83.76 intro zenon_D_pnotp.
% 83.55/83.76 apply zenon_H156.
% 83.55/83.76 rewrite <- zenon_D_pnotp.
% 83.55/83.76 exact zenon_H157.
% 83.55/83.76 cut (((op2 (e22) (op2 (e20) (e20))) = (op2 (e22) (op2 (e20) (e20))))); [idtac | apply NNPP; zenon_intro zenon_H158].
% 83.55/83.76 cut (((op2 (e22) (op2 (e20) (e20))) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H154].
% 83.55/83.76 congruence.
% 83.55/83.76 apply (zenon_L84_); trivial.
% 83.55/83.76 apply zenon_H158. apply refl_equal.
% 83.55/83.76 apply zenon_H158. apply refl_equal.
% 83.55/83.76 apply zenon_Ha1. apply refl_equal.
% 83.55/83.76 (* end of lemma zenon_L85_ *)
% 83.55/83.76 assert (zenon_L86_ : (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e20) = (e22))) -> ((op2 (e22) (e21)) = (e20)) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e22) (op2 (e20) (e20))) = (e22))) -> ((op2 (e22) (e23)) = (e21)) -> (~((e21) = (e22))) -> False).
% 83.55/83.76 do 0 intro. intros zenon_Hff zenon_Hef zenon_Ha3 zenon_He4 zenon_H78 zenon_H155 zenon_Hfc zenon_Ha8.
% 83.55/83.76 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Hee | zenon_intro zenon_H100 ].
% 83.55/83.76 apply (zenon_L57_); trivial.
% 83.55/83.76 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H101 ].
% 83.55/83.76 apply (zenon_L58_); trivial.
% 83.55/83.76 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_Hf9 | zenon_intro zenon_Hfd ].
% 83.55/83.76 apply (zenon_L85_); trivial.
% 83.55/83.76 apply (zenon_L60_); trivial.
% 83.55/83.76 (* end of lemma zenon_L86_ *)
% 83.55/83.76 assert (zenon_L87_ : (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e22) (e20)) = (e23)) -> (~((e20) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e20) = (e22))) -> ((op2 (e22) (e21)) = (e20)) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e22) (op2 (e20) (e20))) = (e22))) -> (~((e21) = (e22))) -> False).
% 83.55/83.76 do 0 intro. intros zenon_H102 zenon_Hd6 zenon_H152 zenon_Had zenon_He8 zenon_H7a zenon_Hff zenon_Hef zenon_Ha3 zenon_He4 zenon_H78 zenon_H155 zenon_Ha8.
% 83.55/83.76 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hbb | zenon_intro zenon_H103 ].
% 83.55/83.76 apply (zenon_L83_); trivial.
% 83.55/83.76 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_He5 | zenon_intro zenon_H104 ].
% 83.55/83.76 apply (zenon_L55_); trivial.
% 83.55/83.76 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_He7 | zenon_intro zenon_Hfc ].
% 83.55/83.76 apply (zenon_L56_); trivial.
% 83.55/83.76 apply (zenon_L86_); trivial.
% 83.55/83.76 (* end of lemma zenon_L87_ *)
% 83.55/83.76 assert (zenon_L88_ : ((op2 (e23) (e20)) = (e21)) -> ((op2 (e23) (e20)) = (e23)) -> (~((e21) = (e23))) -> False).
% 83.55/83.76 do 0 intro. intros zenon_H10c zenon_H159 zenon_Hd6.
% 83.55/83.76 elim (classic ((e23) = (e23))); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hd8 ].
% 83.55/83.76 cut (((e23) = (e23)) = ((e21) = (e23))).
% 83.55/83.76 intro zenon_D_pnotp.
% 83.55/83.76 apply zenon_Hd6.
% 83.55/83.76 rewrite <- zenon_D_pnotp.
% 83.55/83.76 exact zenon_Hd7.
% 83.55/83.76 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_Hd8].
% 83.55/83.76 cut (((e23) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Hd9].
% 83.55/83.76 congruence.
% 83.55/83.76 cut (((op2 (e23) (e20)) = (e21)) = ((e23) = (e21))).
% 83.55/83.76 intro zenon_D_pnotp.
% 83.55/83.76 apply zenon_Hd9.
% 83.55/83.76 rewrite <- zenon_D_pnotp.
% 83.55/83.76 exact zenon_H10c.
% 83.55/83.76 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Haf].
% 83.55/83.76 cut (((op2 (e23) (e20)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H15a].
% 83.55/83.76 congruence.
% 83.55/83.76 exact (zenon_H15a zenon_H159).
% 83.55/83.76 apply zenon_Haf. apply refl_equal.
% 83.55/83.76 apply zenon_Hd8. apply refl_equal.
% 83.55/83.76 apply zenon_Hd8. apply refl_equal.
% 83.55/83.76 (* end of lemma zenon_L88_ *)
% 83.55/83.76 assert (zenon_L89_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e21) = (e23))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((op2 (e21) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((e21) = (e22))) -> (~((op2 (e22) (op2 (e20) (e20))) = (e22))) -> ((e22) = (op2 (e20) (e20))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((e20) = (e21))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.55/83.76 do 0 intro. intros zenon_H15b zenon_Hd6 zenon_H14f zenon_H82 zenon_H7c zenon_H94 zenon_H8e zenon_H91 zenon_H73 zenon_Hce zenon_Hab zenon_Hd1 zenon_Ha8 zenon_H155 zenon_H78 zenon_Ha3 zenon_Hef zenon_Hff zenon_He8 zenon_Had zenon_H102 zenon_H14b zenon_Hba zenon_H13e zenon_H142 zenon_Hdc zenon_Hf7 zenon_Hc9 zenon_Hb2 zenon_Hbc zenon_H141 zenon_H124 zenon_H133 zenon_H12c zenon_H11f zenon_H129 zenon_H11b zenon_H112 zenon_H118 zenon_H134 zenon_H12f zenon_H140 zenon_H15c zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a.
% 83.55/83.76 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.55/83.76 apply (zenon_L41_); trivial.
% 83.55/83.76 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.55/83.76 apply (zenon_L42_); trivial.
% 83.55/83.76 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.55/83.76 apply (zenon_L47_); trivial.
% 83.55/83.76 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ].
% 83.55/83.76 apply (zenon_L43_); trivial.
% 83.55/83.76 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ].
% 83.55/83.76 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ].
% 83.55/83.76 apply (zenon_L43_); trivial.
% 83.55/83.76 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ].
% 83.55/83.76 apply (zenon_L82_); trivial.
% 83.55/83.76 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ].
% 83.55/83.76 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ].
% 83.55/83.76 apply (zenon_L49_); trivial.
% 83.55/83.76 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ].
% 83.55/83.76 apply (zenon_L50_); trivial.
% 83.55/83.76 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ].
% 83.55/83.76 apply (zenon_L87_); trivial.
% 83.55/83.76 apply (zenon_L81_); trivial.
% 83.55/83.76 apply (zenon_L88_); trivial.
% 83.55/83.76 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ].
% 83.55/83.76 apply (zenon_L46_); trivial.
% 83.55/83.76 apply (zenon_L31_); trivial.
% 83.55/83.76 (* end of lemma zenon_L89_ *)
% 83.55/83.76 assert (zenon_L90_ : ((op1 (e11) (e10)) = (e10)) -> ((op1 (e11) (e10)) = (e11)) -> (~((e10) = (e11))) -> False).
% 83.55/83.76 do 0 intro. intros zenon_H161 zenon_H162 zenon_H163.
% 83.55/83.76 elim (classic ((e11) = (e11))); [ zenon_intro zenon_H164 | zenon_intro zenon_H165 ].
% 83.55/83.76 cut (((e11) = (e11)) = ((e10) = (e11))).
% 83.55/83.76 intro zenon_D_pnotp.
% 83.55/83.76 apply zenon_H163.
% 83.55/83.76 rewrite <- zenon_D_pnotp.
% 83.55/83.76 exact zenon_H164.
% 83.55/83.76 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H165].
% 83.55/83.76 cut (((e11) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H166].
% 83.55/83.76 congruence.
% 83.55/83.76 cut (((op1 (e11) (e10)) = (e10)) = ((e11) = (e10))).
% 83.55/83.76 intro zenon_D_pnotp.
% 83.55/83.76 apply zenon_H166.
% 83.55/83.76 rewrite <- zenon_D_pnotp.
% 83.55/83.76 exact zenon_H161.
% 83.55/83.76 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H12].
% 83.55/83.76 cut (((op1 (e11) (e10)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H167].
% 83.55/83.76 congruence.
% 83.55/83.76 exact (zenon_H167 zenon_H162).
% 83.55/83.76 apply zenon_H12. apply refl_equal.
% 83.55/83.76 apply zenon_H165. apply refl_equal.
% 83.55/83.76 apply zenon_H165. apply refl_equal.
% 83.55/83.76 (* end of lemma zenon_L90_ *)
% 83.55/83.76 assert (zenon_L91_ : (~((op1 (e13) (e10)) = (op1 (op1 (e10) (e11)) (e10)))) -> ((op1 (e10) (e11)) = (e13)) -> False).
% 83.55/83.76 do 0 intro. intros zenon_H168 zenon_H169.
% 83.55/83.76 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H12].
% 83.55/83.76 cut (((e13) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H16a].
% 83.55/83.76 congruence.
% 83.55/83.76 apply zenon_H16a. apply sym_equal. exact zenon_H169.
% 83.55/83.76 apply zenon_H12. apply refl_equal.
% 83.55/83.76 (* end of lemma zenon_L91_ *)
% 83.55/83.76 assert (zenon_L92_ : ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> ((op1 (e10) (e11)) = (e13)) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> False).
% 83.55/83.76 do 0 intro. intros zenon_H16b zenon_H169 zenon_H16c zenon_H16d.
% 83.55/83.76 elim (classic ((op1 (e13) (e10)) = (op1 (e13) (e10)))); [ zenon_intro zenon_H16e | zenon_intro zenon_H16f ].
% 83.55/83.76 cut (((op1 (e13) (e10)) = (op1 (e13) (e10))) = ((op1 (e12) (e10)) = (op1 (e13) (e10)))).
% 83.55/83.76 intro zenon_D_pnotp.
% 83.55/83.76 apply zenon_H16d.
% 83.55/83.76 rewrite <- zenon_D_pnotp.
% 83.55/83.76 exact zenon_H16e.
% 83.55/83.76 cut (((op1 (e13) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H16f].
% 83.55/83.76 cut (((op1 (e13) (e10)) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H170].
% 83.55/83.76 congruence.
% 83.55/83.76 cut (((op1 (op1 (e10) (e11)) (e10)) = (e11)) = ((op1 (e13) (e10)) = (op1 (e12) (e10)))).
% 83.55/83.76 intro zenon_D_pnotp.
% 83.55/83.76 apply zenon_H170.
% 83.55/83.76 rewrite <- zenon_D_pnotp.
% 83.55/83.76 exact zenon_H16b.
% 83.55/83.76 cut (((e11) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H171].
% 83.55/83.76 cut (((op1 (op1 (e10) (e11)) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H172].
% 83.55/83.76 congruence.
% 83.55/83.76 elim (classic ((op1 (e13) (e10)) = (op1 (e13) (e10)))); [ zenon_intro zenon_H16e | zenon_intro zenon_H16f ].
% 83.55/83.76 cut (((op1 (e13) (e10)) = (op1 (e13) (e10))) = ((op1 (op1 (e10) (e11)) (e10)) = (op1 (e13) (e10)))).
% 83.55/83.76 intro zenon_D_pnotp.
% 83.55/83.76 apply zenon_H172.
% 83.55/83.76 rewrite <- zenon_D_pnotp.
% 83.55/83.76 exact zenon_H16e.
% 83.55/83.76 cut (((op1 (e13) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H16f].
% 83.55/83.76 cut (((op1 (e13) (e10)) = (op1 (op1 (e10) (e11)) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H168].
% 83.55/83.76 congruence.
% 83.55/83.76 apply (zenon_L91_); trivial.
% 83.55/83.76 apply zenon_H16f. apply refl_equal.
% 83.55/83.76 apply zenon_H16f. apply refl_equal.
% 83.55/83.76 apply zenon_H171. apply sym_equal. exact zenon_H16c.
% 83.55/83.76 apply zenon_H16f. apply refl_equal.
% 83.55/83.76 apply zenon_H16f. apply refl_equal.
% 83.55/83.76 (* end of lemma zenon_L92_ *)
% 83.55/83.76 assert (zenon_L93_ : (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e12) (e10)) = (e11)) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 83.55/83.76 do 0 intro. intros zenon_H173 zenon_H16 zenon_H16d zenon_H16c zenon_H16b zenon_H1e zenon_H17 zenon_H14 zenon_H25.
% 83.55/83.76 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H18 | zenon_intro zenon_H174 ].
% 83.55/83.76 apply (zenon_L3_); trivial.
% 83.55/83.76 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H169 | zenon_intro zenon_H175 ].
% 83.55/83.76 apply (zenon_L92_); trivial.
% 83.55/83.76 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H24 ].
% 83.55/83.76 apply (zenon_L4_); trivial.
% 83.55/83.76 apply (zenon_L5_); trivial.
% 83.55/83.76 (* end of lemma zenon_L93_ *)
% 83.55/83.76 assert (zenon_L94_ : (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e11) (e10)) = (e10)) -> ((op1 (e11) (e11)) = (e10)) -> False).
% 83.55/83.76 do 0 intro. intros zenon_H176 zenon_H161 zenon_H177.
% 83.55/83.76 cut (((op1 (e11) (e10)) = (e10)) = ((op1 (e11) (e10)) = (op1 (e11) (e11)))).
% 83.55/83.76 intro zenon_D_pnotp.
% 83.55/83.76 apply zenon_H176.
% 83.55/83.76 rewrite <- zenon_D_pnotp.
% 83.55/83.76 exact zenon_H161.
% 83.55/83.76 cut (((e10) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H178].
% 83.55/83.76 cut (((op1 (e11) (e10)) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H179].
% 83.55/83.76 congruence.
% 83.55/83.76 apply zenon_H179. apply refl_equal.
% 83.55/83.76 apply zenon_H178. apply sym_equal. exact zenon_H177.
% 83.55/83.76 (* end of lemma zenon_L94_ *)
% 83.55/83.76 assert (zenon_L95_ : ((e12) = (op1 (e10) (e10))) -> ((op1 (e10) (e11)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> False).
% 83.55/83.76 do 0 intro. intros zenon_H2c zenon_H17a zenon_H16.
% 83.55/83.76 elim (classic ((op1 (e10) (e11)) = (op1 (e10) (e11)))); [ zenon_intro zenon_H36 | zenon_intro zenon_H37 ].
% 83.55/83.76 cut (((op1 (e10) (e11)) = (op1 (e10) (e11))) = ((op1 (e10) (e10)) = (op1 (e10) (e11)))).
% 83.55/83.76 intro zenon_D_pnotp.
% 83.55/83.76 apply zenon_H16.
% 83.55/83.76 rewrite <- zenon_D_pnotp.
% 83.55/83.76 exact zenon_H36.
% 83.55/83.76 cut (((op1 (e10) (e11)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H37].
% 83.55/83.76 cut (((op1 (e10) (e11)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H17b].
% 83.55/83.76 congruence.
% 83.55/83.76 cut (((e12) = (op1 (e10) (e10))) = ((op1 (e10) (e11)) = (op1 (e10) (e10)))).
% 83.55/83.76 intro zenon_D_pnotp.
% 83.55/83.76 apply zenon_H17b.
% 83.55/83.76 rewrite <- zenon_D_pnotp.
% 83.55/83.76 exact zenon_H2c.
% 83.55/83.76 cut (((op1 (e10) (e10)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H1b].
% 83.55/83.76 cut (((e12) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H17c].
% 83.55/83.76 congruence.
% 83.55/83.76 elim (classic ((op1 (e10) (e11)) = (op1 (e10) (e11)))); [ zenon_intro zenon_H36 | zenon_intro zenon_H37 ].
% 83.55/83.76 cut (((op1 (e10) (e11)) = (op1 (e10) (e11))) = ((e12) = (op1 (e10) (e11)))).
% 83.55/83.76 intro zenon_D_pnotp.
% 83.55/83.76 apply zenon_H17c.
% 83.55/83.76 rewrite <- zenon_D_pnotp.
% 83.55/83.76 exact zenon_H36.
% 83.55/83.76 cut (((op1 (e10) (e11)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H37].
% 83.55/83.76 cut (((op1 (e10) (e11)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H17d].
% 83.55/83.76 congruence.
% 83.55/83.76 exact (zenon_H17d zenon_H17a).
% 83.55/83.76 apply zenon_H37. apply refl_equal.
% 83.55/83.76 apply zenon_H37. apply refl_equal.
% 83.55/83.76 apply zenon_H1b. apply refl_equal.
% 83.55/83.76 apply zenon_H37. apply refl_equal.
% 83.55/83.76 apply zenon_H37. apply refl_equal.
% 83.55/83.76 (* end of lemma zenon_L95_ *)
% 83.55/83.76 assert (zenon_L96_ : (~((e11) = (e11))) -> False).
% 83.55/83.76 do 0 intro. intros zenon_H165.
% 83.55/83.76 apply zenon_H165. apply refl_equal.
% 83.55/83.76 (* end of lemma zenon_L96_ *)
% 83.55/83.76 assert (zenon_L97_ : ((op1 (e11) (e11)) = (e11)) -> ((op1 (e11) (e11)) = (e12)) -> (~((e11) = (e12))) -> False).
% 83.55/83.76 do 0 intro. intros zenon_H17e zenon_H17f zenon_H2e.
% 83.55/83.76 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H2f | zenon_intro zenon_H2b ].
% 83.55/83.76 cut (((e12) = (e12)) = ((e11) = (e12))).
% 83.55/83.76 intro zenon_D_pnotp.
% 83.55/83.76 apply zenon_H2e.
% 83.55/83.76 rewrite <- zenon_D_pnotp.
% 83.55/83.76 exact zenon_H2f.
% 83.55/83.76 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2b].
% 83.55/83.76 cut (((e12) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H30].
% 83.55/83.76 congruence.
% 83.55/83.76 cut (((op1 (e11) (e11)) = (e11)) = ((e12) = (e11))).
% 83.55/83.76 intro zenon_D_pnotp.
% 83.55/83.76 apply zenon_H30.
% 83.55/83.76 rewrite <- zenon_D_pnotp.
% 83.55/83.76 exact zenon_H17e.
% 83.55/83.76 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H165].
% 83.55/83.76 cut (((op1 (e11) (e11)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H180].
% 83.55/83.76 congruence.
% 83.55/83.76 exact (zenon_H180 zenon_H17f).
% 83.55/83.76 apply zenon_H165. apply refl_equal.
% 83.55/83.76 apply zenon_H2b. apply refl_equal.
% 83.55/83.76 apply zenon_H2b. apply refl_equal.
% 83.55/83.76 (* end of lemma zenon_L97_ *)
% 83.55/83.76 assert (zenon_L98_ : ((op1 (e12) (e11)) = (e10)) -> ((op1 (e12) (e11)) = (e12)) -> (~((e10) = (e12))) -> False).
% 83.55/83.76 do 0 intro. intros zenon_H181 zenon_H182 zenon_H3f.
% 83.55/83.76 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H2f | zenon_intro zenon_H2b ].
% 83.55/83.76 cut (((e12) = (e12)) = ((e10) = (e12))).
% 83.55/83.76 intro zenon_D_pnotp.
% 83.55/83.76 apply zenon_H3f.
% 83.55/83.76 rewrite <- zenon_D_pnotp.
% 83.55/83.76 exact zenon_H2f.
% 83.55/83.76 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2b].
% 83.55/83.76 cut (((e12) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H40].
% 83.55/83.76 congruence.
% 83.55/83.76 cut (((op1 (e12) (e11)) = (e10)) = ((e12) = (e10))).
% 83.55/83.76 intro zenon_D_pnotp.
% 83.55/83.76 apply zenon_H40.
% 83.55/83.76 rewrite <- zenon_D_pnotp.
% 83.55/83.76 exact zenon_H181.
% 83.55/83.76 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H12].
% 83.55/83.76 cut (((op1 (e12) (e11)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H183].
% 83.55/83.76 congruence.
% 83.55/83.76 exact (zenon_H183 zenon_H182).
% 83.55/83.76 apply zenon_H12. apply refl_equal.
% 83.55/83.76 apply zenon_H2b. apply refl_equal.
% 83.55/83.76 apply zenon_H2b. apply refl_equal.
% 83.55/83.76 (* end of lemma zenon_L98_ *)
% 83.55/83.76 assert (zenon_L99_ : ((op1 (e12) (e11)) = (e10)) -> ((op1 (e12) (e11)) = (e11)) -> (~((e10) = (e11))) -> False).
% 83.55/83.76 do 0 intro. intros zenon_H181 zenon_H184 zenon_H163.
% 83.55/83.76 elim (classic ((e11) = (e11))); [ zenon_intro zenon_H164 | zenon_intro zenon_H165 ].
% 83.55/83.76 cut (((e11) = (e11)) = ((e10) = (e11))).
% 83.55/83.76 intro zenon_D_pnotp.
% 83.55/83.76 apply zenon_H163.
% 83.55/83.76 rewrite <- zenon_D_pnotp.
% 83.55/83.76 exact zenon_H164.
% 83.55/83.76 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H165].
% 83.55/83.76 cut (((e11) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H166].
% 83.55/83.76 congruence.
% 83.55/83.76 cut (((op1 (e12) (e11)) = (e10)) = ((e11) = (e10))).
% 83.55/83.76 intro zenon_D_pnotp.
% 83.55/83.76 apply zenon_H166.
% 83.55/83.76 rewrite <- zenon_D_pnotp.
% 83.55/83.76 exact zenon_H181.
% 83.55/83.76 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H12].
% 83.55/83.76 cut (((op1 (e12) (e11)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H185].
% 83.55/83.76 congruence.
% 83.55/83.76 exact (zenon_H185 zenon_H184).
% 83.55/83.76 apply zenon_H12. apply refl_equal.
% 83.55/83.76 apply zenon_H165. apply refl_equal.
% 83.55/83.76 apply zenon_H165. apply refl_equal.
% 83.55/83.76 (* end of lemma zenon_L99_ *)
% 83.55/83.76 assert (zenon_L100_ : ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((op1 (e12) (e12)) = (e11)) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> False).
% 83.55/83.76 do 0 intro. intros zenon_H14 zenon_H186 zenon_H2c zenon_H187.
% 83.55/83.76 elim (classic ((op1 (e12) (e12)) = (op1 (e12) (e12)))); [ zenon_intro zenon_H188 | zenon_intro zenon_H189 ].
% 83.55/83.76 cut (((op1 (e12) (e12)) = (op1 (e12) (e12))) = ((op1 (e10) (e12)) = (op1 (e12) (e12)))).
% 83.55/83.76 intro zenon_D_pnotp.
% 83.55/83.76 apply zenon_H187.
% 83.55/83.76 rewrite <- zenon_D_pnotp.
% 83.55/83.76 exact zenon_H188.
% 83.55/83.76 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H189].
% 83.55/83.76 cut (((op1 (e12) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H18a].
% 83.55/83.76 congruence.
% 83.55/83.76 cut (((e11) = (op1 (e10) (op1 (e10) (e10)))) = ((op1 (e12) (e12)) = (op1 (e10) (e12)))).
% 83.55/83.76 intro zenon_D_pnotp.
% 83.55/83.76 apply zenon_H18a.
% 83.55/83.76 rewrite <- zenon_D_pnotp.
% 83.55/83.76 exact zenon_H14.
% 83.55/83.76 cut (((op1 (e10) (op1 (e10) (e10))) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H32].
% 83.55/83.76 cut (((e11) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H18b].
% 83.55/83.76 congruence.
% 83.55/83.76 elim (classic ((op1 (e12) (e12)) = (op1 (e12) (e12)))); [ zenon_intro zenon_H188 | zenon_intro zenon_H189 ].
% 83.55/83.76 cut (((op1 (e12) (e12)) = (op1 (e12) (e12))) = ((e11) = (op1 (e12) (e12)))).
% 83.55/83.76 intro zenon_D_pnotp.
% 83.55/83.76 apply zenon_H18b.
% 83.55/83.76 rewrite <- zenon_D_pnotp.
% 83.55/83.76 exact zenon_H188.
% 83.55/83.76 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H189].
% 83.55/83.76 cut (((op1 (e12) (e12)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H18c].
% 83.55/83.76 congruence.
% 83.55/83.76 exact (zenon_H18c zenon_H186).
% 83.55/83.76 apply zenon_H189. apply refl_equal.
% 83.55/83.76 apply zenon_H189. apply refl_equal.
% 83.55/83.76 apply (zenon_L8_); trivial.
% 83.55/83.76 apply zenon_H189. apply refl_equal.
% 83.55/83.76 apply zenon_H189. apply refl_equal.
% 83.55/83.76 (* end of lemma zenon_L100_ *)
% 83.55/83.76 assert (zenon_L101_ : ((e12) = (op1 (e10) (e10))) -> ((op1 (e12) (e10)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> False).
% 83.55/83.76 do 0 intro. intros zenon_H2c zenon_H18d zenon_H18e.
% 83.55/83.76 elim (classic ((op1 (e12) (e10)) = (op1 (e12) (e10)))); [ zenon_intro zenon_H18f | zenon_intro zenon_H190 ].
% 83.55/83.76 cut (((op1 (e12) (e10)) = (op1 (e12) (e10))) = ((op1 (e10) (e10)) = (op1 (e12) (e10)))).
% 83.55/83.76 intro zenon_D_pnotp.
% 83.55/83.76 apply zenon_H18e.
% 83.55/83.76 rewrite <- zenon_D_pnotp.
% 83.55/83.76 exact zenon_H18f.
% 83.55/83.76 cut (((op1 (e12) (e10)) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H190].
% 83.55/83.76 cut (((op1 (e12) (e10)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H191].
% 83.55/83.76 congruence.
% 83.55/83.76 cut (((e12) = (op1 (e10) (e10))) = ((op1 (e12) (e10)) = (op1 (e10) (e10)))).
% 83.55/83.76 intro zenon_D_pnotp.
% 83.55/83.76 apply zenon_H191.
% 83.55/83.76 rewrite <- zenon_D_pnotp.
% 83.55/83.76 exact zenon_H2c.
% 83.55/83.76 cut (((op1 (e10) (e10)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H1b].
% 83.55/83.76 cut (((e12) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H192].
% 83.55/83.76 congruence.
% 83.55/83.76 elim (classic ((op1 (e12) (e10)) = (op1 (e12) (e10)))); [ zenon_intro zenon_H18f | zenon_intro zenon_H190 ].
% 83.55/83.76 cut (((op1 (e12) (e10)) = (op1 (e12) (e10))) = ((e12) = (op1 (e12) (e10)))).
% 83.55/83.76 intro zenon_D_pnotp.
% 83.55/83.76 apply zenon_H192.
% 83.55/83.76 rewrite <- zenon_D_pnotp.
% 83.55/83.76 exact zenon_H18f.
% 83.55/83.76 cut (((op1 (e12) (e10)) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H190].
% 83.55/83.76 cut (((op1 (e12) (e10)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H193].
% 83.55/83.76 congruence.
% 83.55/83.76 exact (zenon_H193 zenon_H18d).
% 83.55/83.76 apply zenon_H190. apply refl_equal.
% 83.55/83.76 apply zenon_H190. apply refl_equal.
% 83.55/83.76 apply zenon_H1b. apply refl_equal.
% 83.55/83.76 apply zenon_H190. apply refl_equal.
% 83.55/83.76 apply zenon_H190. apply refl_equal.
% 83.55/83.76 (* end of lemma zenon_L101_ *)
% 83.55/83.76 assert (zenon_L102_ : ((op1 (e13) (e10)) = (e10)) -> ((op1 (e13) (e10)) = (e11)) -> (~((e10) = (e11))) -> False).
% 83.55/83.76 do 0 intro. intros zenon_H194 zenon_H195 zenon_H163.
% 83.55/83.76 elim (classic ((e11) = (e11))); [ zenon_intro zenon_H164 | zenon_intro zenon_H165 ].
% 83.55/83.76 cut (((e11) = (e11)) = ((e10) = (e11))).
% 83.55/83.76 intro zenon_D_pnotp.
% 83.55/83.76 apply zenon_H163.
% 83.55/83.76 rewrite <- zenon_D_pnotp.
% 83.55/83.76 exact zenon_H164.
% 83.55/83.76 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H165].
% 83.55/83.76 cut (((e11) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H166].
% 83.55/83.76 congruence.
% 83.55/83.76 cut (((op1 (e13) (e10)) = (e10)) = ((e11) = (e10))).
% 83.55/83.76 intro zenon_D_pnotp.
% 83.55/83.76 apply zenon_H166.
% 83.55/83.76 rewrite <- zenon_D_pnotp.
% 83.55/83.76 exact zenon_H194.
% 83.55/83.76 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H12].
% 83.55/83.76 cut (((op1 (e13) (e10)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H196].
% 83.55/83.76 congruence.
% 83.55/83.76 exact (zenon_H196 zenon_H195).
% 83.55/83.76 apply zenon_H12. apply refl_equal.
% 83.55/83.76 apply zenon_H165. apply refl_equal.
% 83.55/83.76 apply zenon_H165. apply refl_equal.
% 83.55/83.76 (* end of lemma zenon_L102_ *)
% 83.55/83.76 assert (zenon_L103_ : ((op1 (e13) (e11)) = (e10)) -> ((op1 (e13) (e11)) = (e12)) -> (~((e10) = (e12))) -> False).
% 83.55/83.76 do 0 intro. intros zenon_H197 zenon_H198 zenon_H3f.
% 83.55/83.76 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H2f | zenon_intro zenon_H2b ].
% 83.55/83.76 cut (((e12) = (e12)) = ((e10) = (e12))).
% 83.55/83.76 intro zenon_D_pnotp.
% 83.55/83.76 apply zenon_H3f.
% 83.55/83.76 rewrite <- zenon_D_pnotp.
% 83.55/83.76 exact zenon_H2f.
% 83.55/83.76 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2b].
% 83.55/83.76 cut (((e12) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H40].
% 83.55/83.76 congruence.
% 83.55/83.76 cut (((op1 (e13) (e11)) = (e10)) = ((e12) = (e10))).
% 83.55/83.76 intro zenon_D_pnotp.
% 83.55/83.76 apply zenon_H40.
% 83.55/83.76 rewrite <- zenon_D_pnotp.
% 83.55/83.76 exact zenon_H197.
% 83.55/83.76 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H12].
% 83.55/83.76 cut (((op1 (e13) (e11)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H199].
% 83.55/83.76 congruence.
% 83.55/83.76 exact (zenon_H199 zenon_H198).
% 83.55/83.76 apply zenon_H12. apply refl_equal.
% 83.55/83.76 apply zenon_H2b. apply refl_equal.
% 83.55/83.76 apply zenon_H2b. apply refl_equal.
% 83.55/83.76 (* end of lemma zenon_L103_ *)
% 83.55/83.76 assert (zenon_L104_ : (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e12)) = (e10)) -> ((op1 (e13) (e12)) = (e10)) -> False).
% 83.55/83.76 do 0 intro. intros zenon_H19a zenon_H19b zenon_H19c.
% 83.55/83.76 cut (((op1 (e11) (e12)) = (e10)) = ((op1 (e11) (e12)) = (op1 (e13) (e12)))).
% 83.55/83.76 intro zenon_D_pnotp.
% 83.55/83.76 apply zenon_H19a.
% 83.55/83.76 rewrite <- zenon_D_pnotp.
% 83.55/83.76 exact zenon_H19b.
% 83.55/83.76 cut (((e10) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H19d].
% 83.55/83.76 cut (((op1 (e11) (e12)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H19e].
% 83.55/83.76 congruence.
% 83.55/83.76 apply zenon_H19e. apply refl_equal.
% 83.55/83.76 apply zenon_H19d. apply sym_equal. exact zenon_H19c.
% 83.55/83.76 (* end of lemma zenon_L104_ *)
% 83.55/83.76 assert (zenon_L105_ : ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((op1 (e11) (e12)) = (e11)) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> False).
% 83.55/83.76 do 0 intro. intros zenon_H14 zenon_H19f zenon_H2c zenon_H1a0.
% 83.55/83.76 elim (classic ((op1 (e11) (e12)) = (op1 (e11) (e12)))); [ zenon_intro zenon_H1a1 | zenon_intro zenon_H19e ].
% 83.55/83.76 cut (((op1 (e11) (e12)) = (op1 (e11) (e12))) = ((op1 (e10) (e12)) = (op1 (e11) (e12)))).
% 83.55/83.76 intro zenon_D_pnotp.
% 83.55/83.76 apply zenon_H1a0.
% 83.55/83.76 rewrite <- zenon_D_pnotp.
% 83.55/83.76 exact zenon_H1a1.
% 83.55/83.76 cut (((op1 (e11) (e12)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H19e].
% 83.55/83.76 cut (((op1 (e11) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1a2].
% 83.55/83.76 congruence.
% 83.55/83.76 cut (((e11) = (op1 (e10) (op1 (e10) (e10)))) = ((op1 (e11) (e12)) = (op1 (e10) (e12)))).
% 83.55/83.76 intro zenon_D_pnotp.
% 83.55/83.76 apply zenon_H1a2.
% 83.55/83.76 rewrite <- zenon_D_pnotp.
% 83.55/83.76 exact zenon_H14.
% 83.55/83.76 cut (((op1 (e10) (op1 (e10) (e10))) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H32].
% 83.55/83.76 cut (((e11) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1a3].
% 83.55/83.76 congruence.
% 83.55/83.76 elim (classic ((op1 (e11) (e12)) = (op1 (e11) (e12)))); [ zenon_intro zenon_H1a1 | zenon_intro zenon_H19e ].
% 83.55/83.76 cut (((op1 (e11) (e12)) = (op1 (e11) (e12))) = ((e11) = (op1 (e11) (e12)))).
% 83.55/83.76 intro zenon_D_pnotp.
% 83.55/83.76 apply zenon_H1a3.
% 83.55/83.76 rewrite <- zenon_D_pnotp.
% 83.55/83.76 exact zenon_H1a1.
% 83.55/83.76 cut (((op1 (e11) (e12)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H19e].
% 83.55/83.76 cut (((op1 (e11) (e12)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H1a4].
% 83.55/83.76 congruence.
% 83.55/83.76 exact (zenon_H1a4 zenon_H19f).
% 83.55/83.76 apply zenon_H19e. apply refl_equal.
% 83.55/83.76 apply zenon_H19e. apply refl_equal.
% 83.55/83.76 apply (zenon_L8_); trivial.
% 83.55/83.76 apply zenon_H19e. apply refl_equal.
% 83.55/83.76 apply zenon_H19e. apply refl_equal.
% 83.55/83.76 (* end of lemma zenon_L105_ *)
% 83.55/83.76 assert (zenon_L106_ : (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (e12)) = (e12)) -> ((op1 (e12) (e12)) = (e12)) -> False).
% 83.55/83.76 do 0 intro. intros zenon_H1a5 zenon_H1a6 zenon_H1a7.
% 83.55/83.76 cut (((op1 (e11) (e12)) = (e12)) = ((op1 (e11) (e12)) = (op1 (e12) (e12)))).
% 83.55/83.76 intro zenon_D_pnotp.
% 83.55/83.76 apply zenon_H1a5.
% 83.55/83.76 rewrite <- zenon_D_pnotp.
% 83.55/83.76 exact zenon_H1a6.
% 83.55/83.76 cut (((e12) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1a8].
% 83.55/83.76 cut (((op1 (e11) (e12)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H19e].
% 83.55/83.76 congruence.
% 83.55/83.76 apply zenon_H19e. apply refl_equal.
% 83.55/83.76 apply zenon_H1a8. apply sym_equal. exact zenon_H1a7.
% 83.55/83.76 (* end of lemma zenon_L106_ *)
% 83.55/83.76 assert (zenon_L107_ : (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e10)) = (e13)) -> ((op1 (e11) (e12)) = (e13)) -> False).
% 83.55/83.76 do 0 intro. intros zenon_H1a9 zenon_H1aa zenon_H1ab.
% 83.55/83.76 cut (((op1 (e11) (e10)) = (e13)) = ((op1 (e11) (e10)) = (op1 (e11) (e12)))).
% 83.55/83.76 intro zenon_D_pnotp.
% 83.55/83.76 apply zenon_H1a9.
% 83.55/83.76 rewrite <- zenon_D_pnotp.
% 83.55/83.76 exact zenon_H1aa.
% 83.55/83.76 cut (((e13) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1ac].
% 83.55/83.76 cut (((op1 (e11) (e10)) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H179].
% 83.55/83.76 congruence.
% 83.55/83.76 apply zenon_H179. apply refl_equal.
% 83.55/83.76 apply zenon_H1ac. apply sym_equal. exact zenon_H1ab.
% 83.55/83.76 (* end of lemma zenon_L107_ *)
% 83.55/83.76 assert (zenon_L108_ : (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((op1 (e13) (e12)) = (e10)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((op1 (e12) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e10)) = (e13)) -> False).
% 83.55/83.76 do 0 intro. intros zenon_H1ad zenon_H19c zenon_H19a zenon_H1a0 zenon_H2c zenon_H14 zenon_H1a7 zenon_H1a5 zenon_H1a9 zenon_H1aa.
% 83.55/83.76 apply (zenon_or_s _ _ zenon_H1ad); [ zenon_intro zenon_H19b | zenon_intro zenon_H1ae ].
% 83.55/83.76 apply (zenon_L104_); trivial.
% 83.55/83.76 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H19f | zenon_intro zenon_H1af ].
% 83.55/83.76 apply (zenon_L105_); trivial.
% 83.55/83.76 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1ab ].
% 83.55/83.76 apply (zenon_L106_); trivial.
% 83.55/83.76 apply (zenon_L107_); trivial.
% 83.55/83.76 (* end of lemma zenon_L108_ *)
% 83.55/83.76 assert (zenon_L109_ : (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e11))) -> ((op1 (e13) (e10)) = (e11)) -> (~((e10) = (e12))) -> ((op1 (e13) (e11)) = (e12)) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e12)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 83.55/83.76 do 0 intro. intros zenon_H1b0 zenon_H163 zenon_H195 zenon_H3f zenon_H198 zenon_H1aa zenon_H1a9 zenon_H1a5 zenon_H1a7 zenon_H1a0 zenon_H19a zenon_H1ad zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H2c zenon_H17 zenon_H14 zenon_H25.
% 83.55/83.76 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H194 | zenon_intro zenon_H1b1 ].
% 83.55/83.76 apply (zenon_L102_); trivial.
% 83.55/83.76 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H197 | zenon_intro zenon_H1b2 ].
% 83.55/83.76 apply (zenon_L103_); trivial.
% 83.55/83.76 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H19c | zenon_intro zenon_H54 ].
% 83.55/83.76 apply (zenon_L108_); trivial.
% 83.55/83.76 apply (zenon_L19_); trivial.
% 83.55/83.76 (* end of lemma zenon_L109_ *)
% 83.55/83.76 assert (zenon_L110_ : ((op1 (e12) (e13)) = (e11)) -> ((op1 (e12) (e13)) = (e12)) -> (~((e11) = (e12))) -> False).
% 83.55/83.76 do 0 intro. intros zenon_H1b3 zenon_H1b4 zenon_H2e.
% 83.55/83.76 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H2f | zenon_intro zenon_H2b ].
% 83.55/83.76 cut (((e12) = (e12)) = ((e11) = (e12))).
% 83.55/83.76 intro zenon_D_pnotp.
% 83.55/83.76 apply zenon_H2e.
% 83.55/83.76 rewrite <- zenon_D_pnotp.
% 83.55/83.76 exact zenon_H2f.
% 83.55/83.76 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2b].
% 83.55/83.76 cut (((e12) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H30].
% 83.55/83.76 congruence.
% 83.55/83.76 cut (((op1 (e12) (e13)) = (e11)) = ((e12) = (e11))).
% 83.55/83.76 intro zenon_D_pnotp.
% 83.55/83.76 apply zenon_H30.
% 83.55/83.76 rewrite <- zenon_D_pnotp.
% 83.55/83.76 exact zenon_H1b3.
% 83.55/83.76 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H165].
% 83.55/83.76 cut (((op1 (e12) (e13)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H1b5].
% 83.55/83.76 congruence.
% 83.55/83.76 exact (zenon_H1b5 zenon_H1b4).
% 83.55/83.76 apply zenon_H165. apply refl_equal.
% 83.55/83.76 apply zenon_H2b. apply refl_equal.
% 83.55/83.76 apply zenon_H2b. apply refl_equal.
% 83.55/83.76 (* end of lemma zenon_L110_ *)
% 83.55/83.76 assert (zenon_L111_ : (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e12) (e11)) = (e10)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e10)) = (e13)) -> ((op1 (e13) (e11)) = (e12)) -> (~((e10) = (e12))) -> ((op1 (e13) (e10)) = (e11)) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e12) (e13)) = (e11)) -> (~((e11) = (e12))) -> False).
% 83.55/83.76 do 0 intro. intros zenon_H1b6 zenon_H18e zenon_H181 zenon_H25 zenon_H14 zenon_H17 zenon_H2c zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H1ad zenon_H19a zenon_H1a0 zenon_H1a5 zenon_H1a9 zenon_H1aa zenon_H198 zenon_H3f zenon_H195 zenon_H163 zenon_H1b0 zenon_H1b3 zenon_H2e.
% 83.55/83.76 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H18d | zenon_intro zenon_H1b7 ].
% 83.55/83.76 apply (zenon_L101_); trivial.
% 83.55/83.76 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H182 | zenon_intro zenon_H1b8 ].
% 83.55/83.76 apply (zenon_L98_); trivial.
% 83.55/83.76 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1b4 ].
% 83.55/83.76 apply (zenon_L109_); trivial.
% 83.55/83.76 apply (zenon_L110_); trivial.
% 83.55/83.76 (* end of lemma zenon_L111_ *)
% 83.55/83.76 assert (zenon_L112_ : (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (e11) (e11)) = (e11)) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e11)) = (e13)) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e12) (e11)) = (e10)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((e10) = (e12))) -> ((op1 (e13) (e10)) = (e11)) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e11) = (e12))) -> False).
% 83.55/83.76 do 0 intro. intros zenon_H1b9 zenon_H16 zenon_H17e zenon_H1ba zenon_H16d zenon_H169 zenon_H16b zenon_H187 zenon_H1b6 zenon_H18e zenon_H181 zenon_H25 zenon_H14 zenon_H17 zenon_H2c zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H1ad zenon_H19a zenon_H1a0 zenon_H1a5 zenon_H1a9 zenon_H1aa zenon_H3f zenon_H195 zenon_H163 zenon_H1b0 zenon_H2e.
% 83.55/83.76 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H17a | zenon_intro zenon_H1bb ].
% 83.55/83.76 apply (zenon_L95_); trivial.
% 83.55/83.76 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H17f | zenon_intro zenon_H1bc ].
% 83.55/83.76 apply (zenon_L97_); trivial.
% 83.55/83.76 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H182 | zenon_intro zenon_H198 ].
% 83.55/83.76 apply (zenon_L98_); trivial.
% 83.55/83.76 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H16c | zenon_intro zenon_H1bd ].
% 83.55/83.76 apply (zenon_L92_); trivial.
% 83.55/83.76 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H184 | zenon_intro zenon_H1be ].
% 83.55/83.76 apply (zenon_L99_); trivial.
% 83.55/83.76 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H186 | zenon_intro zenon_H1b3 ].
% 83.55/83.76 apply (zenon_L100_); trivial.
% 83.55/83.76 apply (zenon_L111_); trivial.
% 83.55/83.76 (* end of lemma zenon_L112_ *)
% 83.55/83.76 assert (zenon_L113_ : (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e10)) = (e11)) -> ((op1 (e13) (e11)) = (e11)) -> False).
% 83.55/83.76 do 0 intro. intros zenon_H1bf zenon_H195 zenon_H1c0.
% 83.55/83.76 cut (((op1 (e13) (e10)) = (e11)) = ((op1 (e13) (e10)) = (op1 (e13) (e11)))).
% 83.55/83.76 intro zenon_D_pnotp.
% 83.55/83.76 apply zenon_H1bf.
% 83.55/83.76 rewrite <- zenon_D_pnotp.
% 83.55/83.76 exact zenon_H195.
% 83.55/83.76 cut (((e11) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H1c1].
% 83.55/83.76 cut (((op1 (e13) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H16f].
% 83.55/83.76 congruence.
% 83.55/83.76 apply zenon_H16f. apply refl_equal.
% 83.55/83.76 apply zenon_H1c1. apply sym_equal. exact zenon_H1c0.
% 83.55/83.76 (* end of lemma zenon_L113_ *)
% 83.55/83.76 assert (zenon_L114_ : (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> ((op1 (e13) (e11)) = (e10)) -> ((op1 (e10) (e11)) = (e13)) -> False).
% 83.55/83.76 do 0 intro. intros zenon_H1c2 zenon_H197 zenon_H169.
% 83.55/83.76 cut (((op1 (e13) (e11)) = (e10)) = ((op1 (op1 (e10) (e11)) (e11)) = (e10))).
% 83.55/83.76 intro zenon_D_pnotp.
% 83.55/83.76 apply zenon_H1c2.
% 83.55/83.76 rewrite <- zenon_D_pnotp.
% 83.55/83.76 exact zenon_H197.
% 83.55/83.76 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H12].
% 83.55/83.76 cut (((op1 (e13) (e11)) = (op1 (op1 (e10) (e11)) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H1c3].
% 83.55/83.76 congruence.
% 83.55/83.76 elim (classic ((op1 (op1 (e10) (e11)) (e11)) = (op1 (op1 (e10) (e11)) (e11)))); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1c5 ].
% 83.55/83.76 cut (((op1 (op1 (e10) (e11)) (e11)) = (op1 (op1 (e10) (e11)) (e11))) = ((op1 (e13) (e11)) = (op1 (op1 (e10) (e11)) (e11)))).
% 83.55/83.76 intro zenon_D_pnotp.
% 83.55/83.76 apply zenon_H1c3.
% 83.55/83.76 rewrite <- zenon_D_pnotp.
% 83.55/83.76 exact zenon_H1c4.
% 83.55/83.76 cut (((op1 (op1 (e10) (e11)) (e11)) = (op1 (op1 (e10) (e11)) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H1c5].
% 83.55/83.76 cut (((op1 (op1 (e10) (e11)) (e11)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H1c6].
% 83.55/83.76 congruence.
% 83.55/83.76 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H165].
% 83.55/83.76 cut (((op1 (e10) (e11)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H1c7].
% 83.55/83.76 congruence.
% 83.55/83.76 exact (zenon_H1c7 zenon_H169).
% 83.55/83.76 apply zenon_H165. apply refl_equal.
% 83.55/83.76 apply zenon_H1c5. apply refl_equal.
% 83.55/83.76 apply zenon_H1c5. apply refl_equal.
% 83.55/83.76 apply zenon_H12. apply refl_equal.
% 83.55/83.76 (* end of lemma zenon_L114_ *)
% 83.55/83.76 assert (zenon_L115_ : (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e11) (e10)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e13) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> ((op1 (e10) (e11)) = (e13)) -> False).
% 83.55/83.76 do 0 intro. intros zenon_H1c8 zenon_H50 zenon_H45 zenon_H56 zenon_H161 zenon_H176 zenon_H195 zenon_H1bf zenon_H163 zenon_H1b9 zenon_H16 zenon_H1ba zenon_H16d zenon_H16b zenon_H187 zenon_H1b6 zenon_H18e zenon_H25 zenon_H14 zenon_H17 zenon_H2c zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H1ad zenon_H19a zenon_H1a0 zenon_H1a5 zenon_H1a9 zenon_H1aa zenon_H3f zenon_H1b0 zenon_H2e zenon_H1e zenon_H1c9 zenon_H1c2 zenon_H169.
% 83.55/83.76 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H43 | zenon_intro zenon_H1ca ].
% 83.55/83.76 apply (zenon_L20_); trivial.
% 83.55/83.76 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H177 | zenon_intro zenon_H1cb ].
% 83.55/83.76 apply (zenon_L94_); trivial.
% 83.55/83.76 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H181 | zenon_intro zenon_H197 ].
% 83.55/83.76 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H34 | zenon_intro zenon_H1cc ].
% 83.55/83.76 apply (zenon_L9_); trivial.
% 83.55/83.76 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H17e | zenon_intro zenon_H1cd ].
% 83.55/83.76 apply (zenon_L112_); trivial.
% 83.55/83.76 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H184 | zenon_intro zenon_H1c0 ].
% 83.55/83.76 apply (zenon_L99_); trivial.
% 83.55/83.76 apply (zenon_L113_); trivial.
% 83.55/83.76 apply (zenon_L114_); trivial.
% 83.55/83.76 (* end of lemma zenon_L115_ *)
% 83.55/83.76 assert (zenon_L116_ : ((e12) = (op1 (e10) (e10))) -> ((op1 (e11) (e10)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> False).
% 83.55/83.76 do 0 intro. intros zenon_H2c zenon_H1ce zenon_H1cf.
% 83.55/83.76 elim (classic ((op1 (e11) (e10)) = (op1 (e11) (e10)))); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H179 ].
% 83.55/83.76 cut (((op1 (e11) (e10)) = (op1 (e11) (e10))) = ((op1 (e10) (e10)) = (op1 (e11) (e10)))).
% 83.55/83.76 intro zenon_D_pnotp.
% 83.55/83.76 apply zenon_H1cf.
% 83.55/83.76 rewrite <- zenon_D_pnotp.
% 83.55/83.76 exact zenon_H1d0.
% 83.55/83.76 cut (((op1 (e11) (e10)) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H179].
% 83.55/83.76 cut (((op1 (e11) (e10)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H1d1].
% 83.55/83.76 congruence.
% 83.55/83.76 cut (((e12) = (op1 (e10) (e10))) = ((op1 (e11) (e10)) = (op1 (e10) (e10)))).
% 83.55/83.76 intro zenon_D_pnotp.
% 83.55/83.76 apply zenon_H1d1.
% 83.55/83.76 rewrite <- zenon_D_pnotp.
% 83.55/83.76 exact zenon_H2c.
% 83.55/83.76 cut (((op1 (e10) (e10)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H1b].
% 83.55/83.76 cut (((e12) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H1d2].
% 83.55/83.76 congruence.
% 83.55/83.76 elim (classic ((op1 (e11) (e10)) = (op1 (e11) (e10)))); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H179 ].
% 83.55/83.76 cut (((op1 (e11) (e10)) = (op1 (e11) (e10))) = ((e12) = (op1 (e11) (e10)))).
% 83.55/83.76 intro zenon_D_pnotp.
% 83.55/83.76 apply zenon_H1d2.
% 83.55/83.76 rewrite <- zenon_D_pnotp.
% 83.55/83.76 exact zenon_H1d0.
% 83.55/83.76 cut (((op1 (e11) (e10)) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H179].
% 83.55/83.76 cut (((op1 (e11) (e10)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H1d3].
% 83.55/83.76 congruence.
% 83.55/83.76 exact (zenon_H1d3 zenon_H1ce).
% 83.55/83.76 apply zenon_H179. apply refl_equal.
% 83.55/83.76 apply zenon_H179. apply refl_equal.
% 83.55/83.76 apply zenon_H1b. apply refl_equal.
% 83.55/83.76 apply zenon_H179. apply refl_equal.
% 83.55/83.76 apply zenon_H179. apply refl_equal.
% 83.55/83.76 (* end of lemma zenon_L116_ *)
% 83.55/83.76 assert (zenon_L117_ : (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e11)) = (e10)) -> ((op1 (e12) (e12)) = (e10)) -> False).
% 83.55/83.76 do 0 intro. intros zenon_H1d4 zenon_H181 zenon_H1d5.
% 83.55/83.76 cut (((op1 (e12) (e11)) = (e10)) = ((op1 (e12) (e11)) = (op1 (e12) (e12)))).
% 83.55/83.76 intro zenon_D_pnotp.
% 83.55/83.76 apply zenon_H1d4.
% 83.55/83.76 rewrite <- zenon_D_pnotp.
% 83.55/83.76 exact zenon_H181.
% 83.55/83.76 cut (((e10) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1d6].
% 83.55/83.76 cut (((op1 (e12) (e11)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H1d7].
% 83.55/83.76 congruence.
% 83.55/83.76 apply zenon_H1d7. apply refl_equal.
% 83.55/83.76 apply zenon_H1d6. apply sym_equal. exact zenon_H1d5.
% 83.55/83.76 (* end of lemma zenon_L117_ *)
% 83.55/83.76 assert (zenon_L118_ : (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e10)) = (e13)) -> ((op1 (e12) (e12)) = (e13)) -> False).
% 83.55/83.76 do 0 intro. intros zenon_H1d8 zenon_H1d9 zenon_H1da.
% 83.55/83.76 cut (((op1 (e12) (e10)) = (e13)) = ((op1 (e12) (e10)) = (op1 (e12) (e12)))).
% 83.55/83.76 intro zenon_D_pnotp.
% 83.55/83.76 apply zenon_H1d8.
% 83.55/83.76 rewrite <- zenon_D_pnotp.
% 83.55/83.76 exact zenon_H1d9.
% 83.55/83.76 cut (((e13) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1db].
% 83.55/83.76 cut (((op1 (e12) (e10)) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H190].
% 83.55/83.76 congruence.
% 83.55/83.76 apply zenon_H190. apply refl_equal.
% 83.55/83.76 apply zenon_H1db. apply sym_equal. exact zenon_H1da.
% 83.55/83.76 (* end of lemma zenon_L118_ *)
% 83.55/83.76 assert (zenon_L119_ : (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((op1 (e12) (e11)) = (e10)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e10)) = (e13)) -> False).
% 83.55/83.76 do 0 intro. intros zenon_H1dc zenon_H181 zenon_H1d4 zenon_H187 zenon_H2c zenon_H14 zenon_H1a6 zenon_H1a5 zenon_H1d8 zenon_H1d9.
% 83.55/83.76 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H1dd ].
% 83.55/83.76 apply (zenon_L117_); trivial.
% 83.55/83.76 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H186 | zenon_intro zenon_H1de ].
% 83.55/83.76 apply (zenon_L100_); trivial.
% 83.55/83.76 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1da ].
% 83.55/83.76 apply (zenon_L106_); trivial.
% 83.55/83.76 apply (zenon_L118_); trivial.
% 83.55/83.76 (* end of lemma zenon_L119_ *)
% 83.55/83.76 assert (zenon_L120_ : (~((op1 (e12) (op1 (e10) (e10))) = (op1 (e12) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> False).
% 83.55/83.76 do 0 intro. intros zenon_H1df zenon_H2c.
% 83.55/83.76 cut (((op1 (e10) (e10)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H33].
% 83.55/83.76 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2b].
% 83.55/83.76 congruence.
% 83.55/83.76 apply zenon_H2b. apply refl_equal.
% 83.55/83.76 apply zenon_H33. apply sym_equal. exact zenon_H2c.
% 83.55/83.76 (* end of lemma zenon_L120_ *)
% 83.55/83.76 assert (zenon_L121_ : (~((op1 (e12) (op1 (e10) (e10))) = (e12))) -> ((op1 (e12) (e12)) = (e12)) -> ((e12) = (op1 (e10) (e10))) -> False).
% 83.55/83.76 do 0 intro. intros zenon_H1e0 zenon_H1a7 zenon_H2c.
% 83.55/83.76 cut (((op1 (e12) (e12)) = (e12)) = ((op1 (e12) (op1 (e10) (e10))) = (e12))).
% 83.55/83.76 intro zenon_D_pnotp.
% 83.55/83.76 apply zenon_H1e0.
% 83.55/83.76 rewrite <- zenon_D_pnotp.
% 83.55/83.76 exact zenon_H1a7.
% 83.55/83.76 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2b].
% 83.55/83.76 cut (((op1 (e12) (e12)) = (op1 (e12) (op1 (e10) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H1e1].
% 83.55/83.76 congruence.
% 83.55/83.76 elim (classic ((op1 (e12) (op1 (e10) (e10))) = (op1 (e12) (op1 (e10) (e10))))); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H1e3 ].
% 83.55/83.76 cut (((op1 (e12) (op1 (e10) (e10))) = (op1 (e12) (op1 (e10) (e10)))) = ((op1 (e12) (e12)) = (op1 (e12) (op1 (e10) (e10))))).
% 83.55/83.76 intro zenon_D_pnotp.
% 83.55/83.76 apply zenon_H1e1.
% 83.55/83.76 rewrite <- zenon_D_pnotp.
% 83.55/83.76 exact zenon_H1e2.
% 83.55/83.76 cut (((op1 (e12) (op1 (e10) (e10))) = (op1 (e12) (op1 (e10) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H1e3].
% 83.55/83.76 cut (((op1 (e12) (op1 (e10) (e10))) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1df].
% 83.55/83.76 congruence.
% 83.55/83.76 apply (zenon_L120_); trivial.
% 83.55/83.76 apply zenon_H1e3. apply refl_equal.
% 83.55/83.76 apply zenon_H1e3. apply refl_equal.
% 83.55/83.76 apply zenon_H2b. apply refl_equal.
% 83.55/83.76 (* end of lemma zenon_L121_ *)
% 83.55/83.76 assert (zenon_L122_ : (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e13)) = (e12)) -> ((op1 (e12) (e13)) = (e12)) -> False).
% 83.55/83.76 do 0 intro. intros zenon_H1e4 zenon_H1e5 zenon_H1b4.
% 83.55/83.76 cut (((op1 (e11) (e13)) = (e12)) = ((op1 (e11) (e13)) = (op1 (e12) (e13)))).
% 83.55/83.76 intro zenon_D_pnotp.
% 83.55/83.76 apply zenon_H1e4.
% 83.55/83.76 rewrite <- zenon_D_pnotp.
% 83.55/83.76 exact zenon_H1e5.
% 83.55/83.76 cut (((e12) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H1e6].
% 83.55/83.76 cut (((op1 (e11) (e13)) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H1e7].
% 83.55/83.76 congruence.
% 83.55/83.76 apply zenon_H1e7. apply refl_equal.
% 83.55/83.76 apply zenon_H1e6. apply sym_equal. exact zenon_H1b4.
% 83.55/83.76 (* end of lemma zenon_L122_ *)
% 83.55/83.76 assert (zenon_L123_ : (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e10) = (e12))) -> ((op1 (e12) (e11)) = (e10)) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e12) (op1 (e10) (e10))) = (e12))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e13)) = (e12)) -> False).
% 83.55/83.76 do 0 intro. intros zenon_H1b6 zenon_H18e zenon_H3f zenon_H181 zenon_H2c zenon_H1e0 zenon_H1e4 zenon_H1e5.
% 83.55/83.76 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H18d | zenon_intro zenon_H1b7 ].
% 83.55/83.76 apply (zenon_L101_); trivial.
% 83.55/83.76 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H182 | zenon_intro zenon_H1b8 ].
% 83.55/83.76 apply (zenon_L98_); trivial.
% 83.55/83.76 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1b4 ].
% 83.55/83.76 apply (zenon_L121_); trivial.
% 83.55/83.76 apply (zenon_L122_); trivial.
% 83.55/83.76 (* end of lemma zenon_L123_ *)
% 83.55/83.76 assert (zenon_L124_ : (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((e11) = (e12))) -> ((op1 (e11) (e11)) = (e11)) -> ((op1 (e12) (e10)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e10) = (e12))) -> ((op1 (e12) (e11)) = (e10)) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e12) (op1 (e10) (e10))) = (e12))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> False).
% 83.55/83.76 do 0 intro. intros zenon_H1e8 zenon_H1cf zenon_H2e zenon_H17e zenon_H1d9 zenon_H1d8 zenon_H1a5 zenon_H14 zenon_H187 zenon_H1d4 zenon_H1dc zenon_H1b6 zenon_H18e zenon_H3f zenon_H181 zenon_H2c zenon_H1e0 zenon_H1e4.
% 83.55/83.76 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1ce | zenon_intro zenon_H1e9 ].
% 83.55/83.76 apply (zenon_L116_); trivial.
% 83.55/83.76 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H17f | zenon_intro zenon_H1ea ].
% 83.55/83.76 apply (zenon_L97_); trivial.
% 83.55/83.76 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1e5 ].
% 83.55/83.76 apply (zenon_L119_); trivial.
% 83.55/83.76 apply (zenon_L123_); trivial.
% 83.55/83.76 (* end of lemma zenon_L124_ *)
% 83.55/83.76 assert (zenon_L125_ : ((op1 (e11) (e13)) = (e11)) -> ((op1 (e11) (e13)) = (e12)) -> (~((e11) = (e12))) -> False).
% 83.55/83.76 do 0 intro. intros zenon_H1eb zenon_H1e5 zenon_H2e.
% 83.55/83.76 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H2f | zenon_intro zenon_H2b ].
% 83.55/83.76 cut (((e12) = (e12)) = ((e11) = (e12))).
% 83.55/83.76 intro zenon_D_pnotp.
% 83.55/83.76 apply zenon_H2e.
% 83.55/83.76 rewrite <- zenon_D_pnotp.
% 83.55/83.76 exact zenon_H2f.
% 83.55/83.76 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2b].
% 83.55/83.76 cut (((e12) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H30].
% 83.55/83.76 congruence.
% 83.55/83.76 cut (((op1 (e11) (e13)) = (e11)) = ((e12) = (e11))).
% 83.55/83.76 intro zenon_D_pnotp.
% 83.55/83.76 apply zenon_H30.
% 83.55/83.76 rewrite <- zenon_D_pnotp.
% 83.55/83.76 exact zenon_H1eb.
% 83.55/83.76 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H165].
% 83.55/83.76 cut (((op1 (e11) (e13)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H1ec].
% 83.55/83.76 congruence.
% 83.55/83.76 exact (zenon_H1ec zenon_H1e5).
% 83.55/83.76 apply zenon_H165. apply refl_equal.
% 83.55/83.76 apply zenon_H2b. apply refl_equal.
% 83.55/83.76 apply zenon_H2b. apply refl_equal.
% 83.55/83.76 (* end of lemma zenon_L125_ *)
% 83.55/83.76 assert (zenon_L126_ : (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e11) (e11)) = (e11)) -> ((op1 (e12) (e10)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e11)) = (e10)) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((op1 (e11) (e13)) = (e11)) -> (~((e11) = (e12))) -> False).
% 83.55/83.76 do 0 intro. intros zenon_H1e8 zenon_H1cf zenon_H17e zenon_H1d9 zenon_H1d8 zenon_H1a5 zenon_H14 zenon_H2c zenon_H187 zenon_H1d4 zenon_H181 zenon_H1dc zenon_H1eb zenon_H2e.
% 83.55/83.76 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1ce | zenon_intro zenon_H1e9 ].
% 83.55/83.76 apply (zenon_L116_); trivial.
% 83.55/83.76 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H17f | zenon_intro zenon_H1ea ].
% 83.55/83.76 apply (zenon_L97_); trivial.
% 83.55/83.76 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1e5 ].
% 83.55/83.76 apply (zenon_L119_); trivial.
% 83.55/83.76 apply (zenon_L125_); trivial.
% 83.55/83.76 (* end of lemma zenon_L126_ *)
% 83.55/83.76 assert (zenon_L127_ : (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((e11) = (e12))) -> ((op1 (e11) (e13)) = (e11)) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((e10) = (e11))) -> ((op1 (e12) (e11)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e10)) = (e11)) -> False).
% 83.55/83.76 do 0 intro. intros zenon_H1c9 zenon_H1e zenon_H2e zenon_H1eb zenon_H1dc zenon_H1d4 zenon_H187 zenon_H2c zenon_H14 zenon_H1a5 zenon_H1d8 zenon_H1d9 zenon_H1cf zenon_H1e8 zenon_H163 zenon_H181 zenon_H1bf zenon_H195.
% 83.55/83.76 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H34 | zenon_intro zenon_H1cc ].
% 83.55/83.76 apply (zenon_L9_); trivial.
% 83.55/83.76 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H17e | zenon_intro zenon_H1cd ].
% 83.55/83.76 apply (zenon_L126_); trivial.
% 83.55/83.76 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H184 | zenon_intro zenon_H1c0 ].
% 83.55/83.76 apply (zenon_L99_); trivial.
% 83.55/83.76 apply (zenon_L113_); trivial.
% 83.55/83.76 (* end of lemma zenon_L127_ *)
% 83.55/83.76 assert (zenon_L128_ : ((op1 (e13) (e10)) = (e11)) -> ((op1 (e13) (e10)) = (e13)) -> (~((e11) = (e13))) -> False).
% 83.55/83.76 do 0 intro. intros zenon_H195 zenon_H1ed zenon_H1ee.
% 83.55/83.76 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H1ef | zenon_intro zenon_H1f0 ].
% 83.55/83.76 cut (((e13) = (e13)) = ((e11) = (e13))).
% 83.55/83.76 intro zenon_D_pnotp.
% 83.55/83.76 apply zenon_H1ee.
% 83.55/83.76 rewrite <- zenon_D_pnotp.
% 83.55/83.76 exact zenon_H1ef.
% 83.55/83.76 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H1f0].
% 83.55/83.76 cut (((e13) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H1f1].
% 83.55/83.76 congruence.
% 83.55/83.76 cut (((op1 (e13) (e10)) = (e11)) = ((e13) = (e11))).
% 83.55/83.76 intro zenon_D_pnotp.
% 83.55/83.76 apply zenon_H1f1.
% 83.55/83.76 rewrite <- zenon_D_pnotp.
% 83.55/83.76 exact zenon_H195.
% 83.55/83.76 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H165].
% 83.55/83.76 cut (((op1 (e13) (e10)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H1f2].
% 83.55/83.76 congruence.
% 83.55/83.76 exact (zenon_H1f2 zenon_H1ed).
% 83.55/83.76 apply zenon_H165. apply refl_equal.
% 83.55/83.76 apply zenon_H1f0. apply refl_equal.
% 83.55/83.76 apply zenon_H1f0. apply refl_equal.
% 83.55/83.76 (* end of lemma zenon_L128_ *)
% 83.55/83.76 assert (zenon_L129_ : (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e11) = (e13))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((e11) = (e12))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e10) = (e12))) -> (~((op1 (e12) (op1 (e10) (e10))) = (e12))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e10)) = (e10)) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 83.55/83.76 do 0 intro. intros zenon_H1f3 zenon_H173 zenon_H1ee zenon_H1c8 zenon_H42 zenon_H176 zenon_H1bf zenon_H163 zenon_H1e8 zenon_H1cf zenon_H1d8 zenon_H1a5 zenon_H2c zenon_H187 zenon_H1d4 zenon_H1dc zenon_H2e zenon_H1c9 zenon_H1a0 zenon_H1b6 zenon_H18e zenon_H3f zenon_H1e0 zenon_H1e4 zenon_H161 zenon_H1f4 zenon_H1c2 zenon_H50 zenon_H45 zenon_H56 zenon_H1b9 zenon_H16 zenon_H1ba zenon_H16d zenon_H16b zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H1ad zenon_H19a zenon_H1a9 zenon_H1b0 zenon_H1f5 zenon_H1e zenon_H17 zenon_H14 zenon_H25.
% 83.55/83.76 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H2d | zenon_intro zenon_H1f6 ].
% 83.55/83.76 apply (zenon_L7_); trivial.
% 83.55/83.76 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H162 | zenon_intro zenon_H1f7 ].
% 83.55/83.76 apply (zenon_L90_); trivial.
% 83.55/83.76 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H16c | zenon_intro zenon_H195 ].
% 83.55/83.76 apply (zenon_L93_); trivial.
% 83.55/83.76 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H18 | zenon_intro zenon_H174 ].
% 83.55/83.76 apply (zenon_L3_); trivial.
% 83.55/83.76 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H169 | zenon_intro zenon_H175 ].
% 83.55/83.76 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H18 | zenon_intro zenon_H1f8 ].
% 83.55/83.76 apply (zenon_L3_); trivial.
% 83.55/83.76 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1f9 ].
% 83.55/83.76 apply (zenon_L115_); trivial.
% 83.55/83.76 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1d9 | zenon_intro zenon_H1ed ].
% 83.55/83.76 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H43 | zenon_intro zenon_H1ca ].
% 83.55/83.76 apply (zenon_L12_); trivial.
% 83.55/83.76 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H177 | zenon_intro zenon_H1cb ].
% 83.55/83.76 apply (zenon_L94_); trivial.
% 83.55/83.76 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H181 | zenon_intro zenon_H197 ].
% 83.55/83.76 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H162 | zenon_intro zenon_H1fa ].
% 83.55/83.76 apply (zenon_L90_); trivial.
% 83.55/83.76 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H17e | zenon_intro zenon_H1fb ].
% 83.55/83.76 apply (zenon_L124_); trivial.
% 83.55/83.76 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H19f | zenon_intro zenon_H1eb ].
% 83.55/83.76 apply (zenon_L105_); trivial.
% 83.55/83.76 apply (zenon_L127_); trivial.
% 83.55/83.76 apply (zenon_L114_); trivial.
% 83.55/83.76 apply (zenon_L128_); trivial.
% 83.55/83.76 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H24 ].
% 83.55/83.76 apply (zenon_L4_); trivial.
% 83.55/83.76 apply (zenon_L5_); trivial.
% 83.55/83.76 (* end of lemma zenon_L129_ *)
% 83.55/83.76 assert (zenon_L130_ : (~((h1 (e11)) = (e21))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> False).
% 83.55/83.76 do 0 intro. intros zenon_H1fc zenon_H1fd zenon_H7a.
% 83.55/83.76 cut (((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) = ((h1 (e11)) = (e21))).
% 83.55/83.76 intro zenon_D_pnotp.
% 83.55/83.76 apply zenon_H1fc.
% 83.55/83.76 rewrite <- zenon_D_pnotp.
% 83.55/83.76 exact zenon_H1fd.
% 83.55/83.76 cut (((op2 (e20) (op2 (e20) (e20))) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H88].
% 83.55/83.76 cut (((h1 (e11)) = (h1 (e11)))); [idtac | apply NNPP; zenon_intro zenon_H1fe].
% 83.55/83.76 congruence.
% 83.55/83.76 apply zenon_H1fe. apply refl_equal.
% 83.55/83.76 apply zenon_H88. apply sym_equal. exact zenon_H7a.
% 83.55/83.76 (* end of lemma zenon_L130_ *)
% 83.55/83.76 assert (zenon_L131_ : ((op1 (e12) (e10)) = (e10)) -> ((op1 (e12) (e10)) = (e13)) -> (~((e10) = (e13))) -> False).
% 83.55/83.76 do 0 intro. intros zenon_H1ff zenon_H1d9 zenon_H200.
% 83.55/83.76 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H1ef | zenon_intro zenon_H1f0 ].
% 83.55/83.76 cut (((e13) = (e13)) = ((e10) = (e13))).
% 83.55/83.76 intro zenon_D_pnotp.
% 83.55/83.76 apply zenon_H200.
% 83.55/83.76 rewrite <- zenon_D_pnotp.
% 83.55/83.76 exact zenon_H1ef.
% 83.55/83.76 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H1f0].
% 83.55/83.76 cut (((e13) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H201].
% 83.55/83.76 congruence.
% 83.55/83.76 cut (((op1 (e12) (e10)) = (e10)) = ((e13) = (e10))).
% 83.55/83.76 intro zenon_D_pnotp.
% 83.55/83.76 apply zenon_H201.
% 83.55/83.76 rewrite <- zenon_D_pnotp.
% 83.55/83.76 exact zenon_H1ff.
% 83.55/83.76 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H12].
% 83.55/83.76 cut (((op1 (e12) (e10)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H202].
% 83.55/83.76 congruence.
% 83.55/83.76 exact (zenon_H202 zenon_H1d9).
% 83.55/83.76 apply zenon_H12. apply refl_equal.
% 83.55/83.76 apply zenon_H1f0. apply refl_equal.
% 83.55/83.76 apply zenon_H1f0. apply refl_equal.
% 83.55/83.76 (* end of lemma zenon_L131_ *)
% 83.55/83.76 assert (zenon_L132_ : (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> ((op1 (e10) (e11)) = (e13)) -> ((op1 (e13) (e11)) = (e11)) -> False).
% 83.55/83.76 do 0 intro. intros zenon_H1bf zenon_H16b zenon_H169 zenon_H1c0.
% 83.55/83.76 cut (((op1 (op1 (e10) (e11)) (e10)) = (e11)) = ((op1 (e13) (e10)) = (op1 (e13) (e11)))).
% 83.55/83.76 intro zenon_D_pnotp.
% 83.55/83.76 apply zenon_H1bf.
% 83.55/83.76 rewrite <- zenon_D_pnotp.
% 83.55/83.76 exact zenon_H16b.
% 83.55/83.76 cut (((e11) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H1c1].
% 83.55/83.77 cut (((op1 (op1 (e10) (e11)) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H172].
% 83.55/83.77 congruence.
% 83.55/83.77 elim (classic ((op1 (e13) (e10)) = (op1 (e13) (e10)))); [ zenon_intro zenon_H16e | zenon_intro zenon_H16f ].
% 83.55/83.77 cut (((op1 (e13) (e10)) = (op1 (e13) (e10))) = ((op1 (op1 (e10) (e11)) (e10)) = (op1 (e13) (e10)))).
% 83.55/83.77 intro zenon_D_pnotp.
% 83.55/83.77 apply zenon_H172.
% 83.55/83.77 rewrite <- zenon_D_pnotp.
% 83.55/83.77 exact zenon_H16e.
% 83.55/83.77 cut (((op1 (e13) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H16f].
% 83.55/83.77 cut (((op1 (e13) (e10)) = (op1 (op1 (e10) (e11)) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H168].
% 83.55/83.77 congruence.
% 83.55/83.77 apply (zenon_L91_); trivial.
% 83.55/83.77 apply zenon_H16f. apply refl_equal.
% 83.55/83.77 apply zenon_H16f. apply refl_equal.
% 83.55/83.77 apply zenon_H1c1. apply sym_equal. exact zenon_H1c0.
% 83.55/83.77 (* end of lemma zenon_L132_ *)
% 83.55/83.77 assert (zenon_L133_ : ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((op1 (e13) (e12)) = (e11)) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> False).
% 83.55/83.77 do 0 intro. intros zenon_H14 zenon_H203 zenon_H2c zenon_H204.
% 83.55/83.77 elim (classic ((op1 (e13) (e12)) = (op1 (e13) (e12)))); [ zenon_intro zenon_H205 | zenon_intro zenon_H206 ].
% 83.55/83.77 cut (((op1 (e13) (e12)) = (op1 (e13) (e12))) = ((op1 (e10) (e12)) = (op1 (e13) (e12)))).
% 83.55/83.77 intro zenon_D_pnotp.
% 83.55/83.77 apply zenon_H204.
% 83.55/83.77 rewrite <- zenon_D_pnotp.
% 83.55/83.77 exact zenon_H205.
% 83.55/83.77 cut (((op1 (e13) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H206].
% 83.55/83.77 cut (((op1 (e13) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H207].
% 83.55/83.77 congruence.
% 83.55/83.77 cut (((e11) = (op1 (e10) (op1 (e10) (e10)))) = ((op1 (e13) (e12)) = (op1 (e10) (e12)))).
% 83.55/83.77 intro zenon_D_pnotp.
% 83.55/83.77 apply zenon_H207.
% 83.55/83.77 rewrite <- zenon_D_pnotp.
% 83.55/83.77 exact zenon_H14.
% 83.55/83.77 cut (((op1 (e10) (op1 (e10) (e10))) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H32].
% 83.55/83.77 cut (((e11) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H208].
% 83.55/83.77 congruence.
% 83.55/83.77 elim (classic ((op1 (e13) (e12)) = (op1 (e13) (e12)))); [ zenon_intro zenon_H205 | zenon_intro zenon_H206 ].
% 83.55/83.77 cut (((op1 (e13) (e12)) = (op1 (e13) (e12))) = ((e11) = (op1 (e13) (e12)))).
% 83.55/83.77 intro zenon_D_pnotp.
% 83.55/83.77 apply zenon_H208.
% 83.55/83.77 rewrite <- zenon_D_pnotp.
% 83.55/83.77 exact zenon_H205.
% 83.55/83.77 cut (((op1 (e13) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H206].
% 83.55/83.77 cut (((op1 (e13) (e12)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H209].
% 83.55/83.77 congruence.
% 83.55/83.77 exact (zenon_H209 zenon_H203).
% 83.55/83.77 apply zenon_H206. apply refl_equal.
% 83.55/83.77 apply zenon_H206. apply refl_equal.
% 83.55/83.77 apply (zenon_L8_); trivial.
% 83.55/83.77 apply zenon_H206. apply refl_equal.
% 83.55/83.77 apply zenon_H206. apply refl_equal.
% 83.55/83.77 (* end of lemma zenon_L133_ *)
% 83.55/83.77 assert (zenon_L134_ : (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> ((op1 (e10) (e11)) = (e13)) -> ((op1 (e13) (e13)) = (e11)) -> False).
% 83.55/83.77 do 0 intro. intros zenon_H20a zenon_H16b zenon_H169 zenon_H20b.
% 83.55/83.77 cut (((op1 (op1 (e10) (e11)) (e10)) = (e11)) = ((op1 (e13) (e10)) = (op1 (e13) (e13)))).
% 83.55/83.77 intro zenon_D_pnotp.
% 83.55/83.77 apply zenon_H20a.
% 83.55/83.77 rewrite <- zenon_D_pnotp.
% 83.55/83.77 exact zenon_H16b.
% 83.55/83.77 cut (((e11) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H20c].
% 83.55/83.77 cut (((op1 (op1 (e10) (e11)) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H172].
% 83.55/83.77 congruence.
% 83.55/83.77 elim (classic ((op1 (e13) (e10)) = (op1 (e13) (e10)))); [ zenon_intro zenon_H16e | zenon_intro zenon_H16f ].
% 83.55/83.77 cut (((op1 (e13) (e10)) = (op1 (e13) (e10))) = ((op1 (op1 (e10) (e11)) (e10)) = (op1 (e13) (e10)))).
% 83.55/83.77 intro zenon_D_pnotp.
% 83.55/83.77 apply zenon_H172.
% 83.55/83.77 rewrite <- zenon_D_pnotp.
% 83.55/83.77 exact zenon_H16e.
% 83.55/83.77 cut (((op1 (e13) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H16f].
% 83.55/83.77 cut (((op1 (e13) (e10)) = (op1 (op1 (e10) (e11)) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H168].
% 83.55/83.77 congruence.
% 83.55/83.77 apply (zenon_L91_); trivial.
% 83.55/83.77 apply zenon_H16f. apply refl_equal.
% 83.55/83.77 apply zenon_H16f. apply refl_equal.
% 83.55/83.77 apply zenon_H20c. apply sym_equal. exact zenon_H20b.
% 83.55/83.77 (* end of lemma zenon_L134_ *)
% 83.55/83.77 assert (zenon_L135_ : (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e11) = (e13))) -> ((op1 (e13) (e10)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> ((op1 (e10) (e11)) = (e13)) -> False).
% 83.55/83.77 do 0 intro. intros zenon_H20d zenon_H1ee zenon_H1ed zenon_H1bf zenon_H204 zenon_H2c zenon_H14 zenon_H20a zenon_H16b zenon_H169.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H195 | zenon_intro zenon_H20e ].
% 83.55/83.77 apply (zenon_L128_); trivial.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H20f ].
% 83.55/83.77 apply (zenon_L132_); trivial.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H203 | zenon_intro zenon_H20b ].
% 83.55/83.77 apply (zenon_L133_); trivial.
% 83.55/83.77 apply (zenon_L134_); trivial.
% 83.55/83.77 (* end of lemma zenon_L135_ *)
% 83.55/83.77 assert (zenon_L136_ : (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e11) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((op1 (e12) (e10)) = (e10)) -> (~((e10) = (e13))) -> (~((h1 (op1 (e11) (e10))) = (op2 (h1 (e11)) (h1 (e10))))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((op2 (e21) (e20)) = (e23)) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((h1 (e10)) = (e20)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 83.55/83.77 do 0 intro. intros zenon_H173 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H1ee zenon_H20d zenon_H1ff zenon_H200 zenon_H210 zenon_H5c zenon_Hd5 zenon_H5d zenon_H1fd zenon_H7a zenon_H64 zenon_H16 zenon_H1f5 zenon_H1e zenon_H17 zenon_H14 zenon_H25.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H18 | zenon_intro zenon_H174 ].
% 83.55/83.77 apply (zenon_L3_); trivial.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H169 | zenon_intro zenon_H175 ].
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H18 | zenon_intro zenon_H1f8 ].
% 83.55/83.77 apply (zenon_L3_); trivial.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1f9 ].
% 83.55/83.77 cut (((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) = ((h1 (op1 (e11) (e10))) = (op2 (h1 (e11)) (h1 (e10))))).
% 83.55/83.77 intro zenon_D_pnotp.
% 83.55/83.77 apply zenon_H210.
% 83.55/83.77 rewrite <- zenon_D_pnotp.
% 83.55/83.77 exact zenon_H5c.
% 83.55/83.77 cut (((op2 (e20) (op2 (e20) (op2 (e20) (e20)))) = (op2 (h1 (e11)) (h1 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H211].
% 83.55/83.77 cut (((h1 (e13)) = (h1 (op1 (e11) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H212].
% 83.55/83.77 congruence.
% 83.55/83.77 elim (classic ((h1 (op1 (e11) (e10))) = (h1 (op1 (e11) (e10))))); [ zenon_intro zenon_H213 | zenon_intro zenon_H214 ].
% 83.55/83.77 cut (((h1 (op1 (e11) (e10))) = (h1 (op1 (e11) (e10)))) = ((h1 (e13)) = (h1 (op1 (e11) (e10))))).
% 83.55/83.77 intro zenon_D_pnotp.
% 83.55/83.77 apply zenon_H212.
% 83.55/83.77 rewrite <- zenon_D_pnotp.
% 83.55/83.77 exact zenon_H213.
% 83.55/83.77 cut (((h1 (op1 (e11) (e10))) = (h1 (op1 (e11) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H214].
% 83.55/83.77 cut (((h1 (op1 (e11) (e10))) = (h1 (e13)))); [idtac | apply NNPP; zenon_intro zenon_H215].
% 83.55/83.77 congruence.
% 83.55/83.77 cut (((op1 (e11) (e10)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H216].
% 83.55/83.77 congruence.
% 83.55/83.77 exact (zenon_H216 zenon_H1aa).
% 83.55/83.77 apply zenon_H214. apply refl_equal.
% 83.55/83.77 apply zenon_H214. apply refl_equal.
% 83.55/83.77 elim (classic ((op2 (h1 (e11)) (h1 (e10))) = (op2 (h1 (e11)) (h1 (e10))))); [ zenon_intro zenon_H217 | zenon_intro zenon_H218 ].
% 83.55/83.77 cut (((op2 (h1 (e11)) (h1 (e10))) = (op2 (h1 (e11)) (h1 (e10)))) = ((op2 (e20) (op2 (e20) (op2 (e20) (e20)))) = (op2 (h1 (e11)) (h1 (e10))))).
% 83.55/83.77 intro zenon_D_pnotp.
% 83.55/83.77 apply zenon_H211.
% 83.55/83.77 rewrite <- zenon_D_pnotp.
% 83.55/83.77 exact zenon_H217.
% 83.55/83.77 cut (((op2 (h1 (e11)) (h1 (e10))) = (op2 (h1 (e11)) (h1 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H218].
% 83.55/83.77 cut (((op2 (h1 (e11)) (h1 (e10))) = (op2 (e20) (op2 (e20) (op2 (e20) (e20)))))); [idtac | apply NNPP; zenon_intro zenon_H219].
% 83.55/83.77 congruence.
% 83.55/83.77 cut (((op2 (e21) (e20)) = (e23)) = ((op2 (h1 (e11)) (h1 (e10))) = (op2 (e20) (op2 (e20) (op2 (e20) (e20)))))).
% 83.55/83.77 intro zenon_D_pnotp.
% 83.55/83.77 apply zenon_H219.
% 83.55/83.77 rewrite <- zenon_D_pnotp.
% 83.55/83.77 exact zenon_Hd5.
% 83.55/83.77 cut (((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20)))))); [idtac | apply NNPP; zenon_intro zenon_H21a].
% 83.55/83.77 cut (((op2 (e21) (e20)) = (op2 (h1 (e11)) (h1 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H21b].
% 83.55/83.77 congruence.
% 83.55/83.77 elim (classic ((op2 (h1 (e11)) (h1 (e10))) = (op2 (h1 (e11)) (h1 (e10))))); [ zenon_intro zenon_H217 | zenon_intro zenon_H218 ].
% 83.55/83.77 cut (((op2 (h1 (e11)) (h1 (e10))) = (op2 (h1 (e11)) (h1 (e10)))) = ((op2 (e21) (e20)) = (op2 (h1 (e11)) (h1 (e10))))).
% 83.55/83.77 intro zenon_D_pnotp.
% 83.55/83.77 apply zenon_H21b.
% 83.55/83.77 rewrite <- zenon_D_pnotp.
% 83.55/83.77 exact zenon_H217.
% 83.55/83.77 cut (((op2 (h1 (e11)) (h1 (e10))) = (op2 (h1 (e11)) (h1 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H218].
% 83.55/83.77 cut (((op2 (h1 (e11)) (h1 (e10))) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H21c].
% 83.55/83.77 congruence.
% 83.55/83.77 cut (((h1 (e10)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H72].
% 83.55/83.77 cut (((h1 (e11)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H1fc].
% 83.55/83.77 congruence.
% 83.55/83.77 apply (zenon_L130_); trivial.
% 83.55/83.77 exact (zenon_H72 zenon_H64).
% 83.55/83.77 apply zenon_H218. apply refl_equal.
% 83.55/83.77 apply zenon_H218. apply refl_equal.
% 83.55/83.77 exact (zenon_H21a zenon_H5d).
% 83.55/83.77 apply zenon_H218. apply refl_equal.
% 83.55/83.77 apply zenon_H218. apply refl_equal.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1d9 | zenon_intro zenon_H1ed ].
% 83.55/83.77 apply (zenon_L131_); trivial.
% 83.55/83.77 apply (zenon_L135_); trivial.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H24 ].
% 83.55/83.77 apply (zenon_L4_); trivial.
% 83.55/83.77 apply (zenon_L5_); trivial.
% 83.55/83.77 (* end of lemma zenon_L136_ *)
% 83.55/83.77 assert (zenon_L137_ : (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e11))) -> ((op1 (e13) (e10)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> ((op1 (e10) (e11)) = (e13)) -> False).
% 83.55/83.77 do 0 intro. intros zenon_H20d zenon_H163 zenon_H194 zenon_H1bf zenon_H204 zenon_H2c zenon_H14 zenon_H20a zenon_H16b zenon_H169.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H195 | zenon_intro zenon_H20e ].
% 83.55/83.77 apply (zenon_L102_); trivial.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H20f ].
% 83.55/83.77 apply (zenon_L132_); trivial.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H203 | zenon_intro zenon_H20b ].
% 83.55/83.77 apply (zenon_L133_); trivial.
% 83.55/83.77 apply (zenon_L134_); trivial.
% 83.55/83.77 (* end of lemma zenon_L137_ *)
% 83.55/83.77 assert (zenon_L138_ : (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e10)) = (e10)) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 83.55/83.77 do 0 intro. intros zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H194 zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H18 | zenon_intro zenon_H174 ].
% 83.55/83.77 apply (zenon_L3_); trivial.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H169 | zenon_intro zenon_H175 ].
% 83.55/83.77 apply (zenon_L137_); trivial.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H24 ].
% 83.55/83.77 apply (zenon_L4_); trivial.
% 83.55/83.77 apply (zenon_L5_); trivial.
% 83.55/83.77 (* end of lemma zenon_L138_ *)
% 83.55/83.77 assert (zenon_L139_ : ((op2 (e22) (e20)) = (e20)) -> ((op2 (e22) (e20)) = (e23)) -> (~((e20) = (e23))) -> False).
% 83.55/83.77 do 0 intro. intros zenon_H21d zenon_H152 zenon_H21e.
% 83.55/83.77 elim (classic ((e23) = (e23))); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hd8 ].
% 83.55/83.77 cut (((e23) = (e23)) = ((e20) = (e23))).
% 83.55/83.77 intro zenon_D_pnotp.
% 83.55/83.77 apply zenon_H21e.
% 83.55/83.77 rewrite <- zenon_D_pnotp.
% 83.55/83.77 exact zenon_Hd7.
% 83.55/83.77 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_Hd8].
% 83.55/83.77 cut (((e23) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H21f].
% 83.55/83.77 congruence.
% 83.55/83.77 cut (((op2 (e22) (e20)) = (e20)) = ((e23) = (e20))).
% 83.55/83.77 intro zenon_D_pnotp.
% 83.55/83.77 apply zenon_H21f.
% 83.55/83.77 rewrite <- zenon_D_pnotp.
% 83.55/83.77 exact zenon_H21d.
% 83.55/83.77 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H60].
% 83.55/83.77 cut (((op2 (e22) (e20)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H153].
% 83.55/83.77 congruence.
% 83.55/83.77 exact (zenon_H153 zenon_H152).
% 83.55/83.77 apply zenon_H60. apply refl_equal.
% 83.55/83.77 apply zenon_Hd8. apply refl_equal.
% 83.55/83.77 apply zenon_Hd8. apply refl_equal.
% 83.55/83.77 (* end of lemma zenon_L139_ *)
% 83.55/83.77 assert (zenon_L140_ : (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e23) (e20)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> ((op2 (e20) (e21)) = (e23)) -> False).
% 83.55/83.77 do 0 intro. intros zenon_H11b zenon_Hd6 zenon_H159 zenon_H13e zenon_H112 zenon_H78 zenon_H7a zenon_H118 zenon_Hba zenon_Hb8.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10c | zenon_intro zenon_H11c ].
% 83.55/83.77 apply (zenon_L88_); trivial.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H10e | zenon_intro zenon_H11d ].
% 83.55/83.77 apply (zenon_L78_); trivial.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H111 | zenon_intro zenon_H119 ].
% 83.55/83.77 apply (zenon_L66_); trivial.
% 83.55/83.77 apply (zenon_L67_); trivial.
% 83.55/83.77 (* end of lemma zenon_L140_ *)
% 83.55/83.77 assert (zenon_L141_ : (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((e21) = (e23))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> ((op2 (e22) (e20)) = (e20)) -> (~((e20) = (e23))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (op1 (e10) (e10))) = (e12))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((e11) = (e12))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> ((h1 (e10)) = (e20)) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((h1 (op1 (e11) (e10))) = (op2 (h1 (e11)) (h1 (e10))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.55/83.77 do 0 intro. intros zenon_Hc9 zenon_Hba zenon_H118 zenon_H78 zenon_H112 zenon_H13e zenon_Hd6 zenon_H11b zenon_H21d zenon_H21e zenon_H61 zenon_H220 zenon_H1b0 zenon_H1a9 zenon_H19a zenon_H1ad zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H16d zenon_H1ba zenon_H1b9 zenon_H56 zenon_H45 zenon_H50 zenon_H1c2 zenon_H1f4 zenon_H1e4 zenon_H1e0 zenon_H3f zenon_H18e zenon_H1b6 zenon_H1a0 zenon_H1c9 zenon_H2e zenon_H1dc zenon_H1d4 zenon_H187 zenon_H1a5 zenon_H1d8 zenon_H1cf zenon_H1e8 zenon_H176 zenon_H1c8 zenon_H1f3 zenon_H1f5 zenon_H64 zenon_H1fd zenon_H5c zenon_H210 zenon_H200 zenon_H1ee zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25 zenon_Hb2 zenon_H15c zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ].
% 83.55/83.77 apply (zenon_L43_); trivial.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ].
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ].
% 83.55/83.77 apply (zenon_L43_); trivial.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ].
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ].
% 83.55/83.77 apply (zenon_L11_); trivial.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ].
% 83.55/83.77 apply (zenon_L20_); trivial.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ].
% 83.55/83.77 apply (zenon_L22_); trivial.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ].
% 83.55/83.77 apply (zenon_L11_); trivial.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ].
% 83.55/83.77 apply (zenon_L129_); trivial.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ].
% 83.55/83.77 apply (zenon_L136_); trivial.
% 83.55/83.77 apply (zenon_L138_); trivial.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ].
% 83.55/83.77 apply (zenon_L139_); trivial.
% 83.55/83.77 apply (zenon_L140_); trivial.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ].
% 83.55/83.77 apply (zenon_L46_); trivial.
% 83.55/83.77 apply (zenon_L31_); trivial.
% 83.55/83.77 (* end of lemma zenon_L141_ *)
% 83.55/83.77 assert (zenon_L142_ : (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e20) = (e21))) -> ((op2 (e23) (e20)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> ((op2 (e20) (e21)) = (e23)) -> False).
% 83.55/83.77 do 0 intro. intros zenon_H11b zenon_Had zenon_H10b zenon_H13e zenon_H112 zenon_H78 zenon_H7a zenon_H118 zenon_Hba zenon_Hb8.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10c | zenon_intro zenon_H11c ].
% 83.55/83.77 apply (zenon_L64_); trivial.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H10e | zenon_intro zenon_H11d ].
% 83.55/83.77 apply (zenon_L78_); trivial.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H111 | zenon_intro zenon_H119 ].
% 83.55/83.77 apply (zenon_L66_); trivial.
% 83.55/83.77 apply (zenon_L67_); trivial.
% 83.55/83.77 (* end of lemma zenon_L142_ *)
% 83.55/83.77 assert (zenon_L143_ : (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e20)) = (e20)) -> (~((e20) = (e21))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.55/83.77 do 0 intro. intros zenon_Hc9 zenon_Hb2 zenon_Hba zenon_H118 zenon_H78 zenon_H112 zenon_H13e zenon_H10b zenon_Had zenon_H11b zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ].
% 83.55/83.77 apply (zenon_L43_); trivial.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ].
% 83.55/83.77 apply (zenon_L142_); trivial.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ].
% 83.55/83.77 apply (zenon_L46_); trivial.
% 83.55/83.77 apply (zenon_L31_); trivial.
% 83.55/83.77 (* end of lemma zenon_L143_ *)
% 83.55/83.77 assert (zenon_L144_ : (~((op1 (e10) (op1 (e10) (e11))) = (op1 (e10) (e13)))) -> ((op1 (e10) (e11)) = (e13)) -> False).
% 83.55/83.77 do 0 intro. intros zenon_H223 zenon_H169.
% 83.55/83.77 cut (((op1 (e10) (e11)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H1c7].
% 83.55/83.77 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H12].
% 83.55/83.77 congruence.
% 83.55/83.77 apply zenon_H12. apply refl_equal.
% 83.55/83.77 exact (zenon_H1c7 zenon_H169).
% 83.55/83.77 (* end of lemma zenon_L144_ *)
% 83.55/83.77 assert (zenon_L145_ : (~((op1 (e10) (op1 (e10) (e11))) = (e10))) -> ((op1 (e10) (e13)) = (e10)) -> ((op1 (e10) (e11)) = (e13)) -> False).
% 83.55/83.77 do 0 intro. intros zenon_H224 zenon_H42 zenon_H169.
% 83.55/83.77 cut (((op1 (e10) (e13)) = (e10)) = ((op1 (e10) (op1 (e10) (e11))) = (e10))).
% 83.55/83.77 intro zenon_D_pnotp.
% 83.55/83.77 apply zenon_H224.
% 83.55/83.77 rewrite <- zenon_D_pnotp.
% 83.55/83.77 exact zenon_H42.
% 83.55/83.77 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H12].
% 83.55/83.77 cut (((op1 (e10) (e13)) = (op1 (e10) (op1 (e10) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H225].
% 83.55/83.77 congruence.
% 83.55/83.77 elim (classic ((op1 (e10) (op1 (e10) (e11))) = (op1 (e10) (op1 (e10) (e11))))); [ zenon_intro zenon_H226 | zenon_intro zenon_H227 ].
% 83.55/83.77 cut (((op1 (e10) (op1 (e10) (e11))) = (op1 (e10) (op1 (e10) (e11)))) = ((op1 (e10) (e13)) = (op1 (e10) (op1 (e10) (e11))))).
% 83.55/83.77 intro zenon_D_pnotp.
% 83.55/83.77 apply zenon_H225.
% 83.55/83.77 rewrite <- zenon_D_pnotp.
% 83.55/83.77 exact zenon_H226.
% 83.55/83.77 cut (((op1 (e10) (op1 (e10) (e11))) = (op1 (e10) (op1 (e10) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H227].
% 83.55/83.77 cut (((op1 (e10) (op1 (e10) (e11))) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H223].
% 83.55/83.77 congruence.
% 83.55/83.77 apply (zenon_L144_); trivial.
% 83.55/83.77 apply zenon_H227. apply refl_equal.
% 83.55/83.77 apply zenon_H227. apply refl_equal.
% 83.55/83.77 apply zenon_H12. apply refl_equal.
% 83.55/83.77 (* end of lemma zenon_L145_ *)
% 83.55/83.77 assert (zenon_L146_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (op1 (e10) (e11))) = (e10))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 83.55/83.77 do 0 intro. intros zenon_H56 zenon_H169 zenon_H224 zenon_H45 zenon_H50 zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H2c zenon_H17 zenon_H14 zenon_H25.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H42 | zenon_intro zenon_H57 ].
% 83.55/83.77 apply (zenon_L145_); trivial.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H57); [ zenon_intro zenon_H46 | zenon_intro zenon_H58 ].
% 83.55/83.77 apply (zenon_L15_); trivial.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H51 | zenon_intro zenon_H54 ].
% 83.55/83.77 apply (zenon_L17_); trivial.
% 83.55/83.77 apply (zenon_L19_); trivial.
% 83.55/83.77 (* end of lemma zenon_L146_ *)
% 83.55/83.77 assert (zenon_L147_ : ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((op1 (e11) (e11)) = (e13)) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> False).
% 83.55/83.77 do 0 intro. intros zenon_H17 zenon_H228 zenon_H14 zenon_H229.
% 83.55/83.77 elim (classic ((op1 (e11) (e11)) = (op1 (e11) (e11)))); [ zenon_intro zenon_H22a | zenon_intro zenon_H22b ].
% 83.55/83.77 cut (((op1 (e11) (e11)) = (op1 (e11) (e11))) = ((op1 (e10) (e11)) = (op1 (e11) (e11)))).
% 83.55/83.77 intro zenon_D_pnotp.
% 83.55/83.77 apply zenon_H229.
% 83.55/83.77 rewrite <- zenon_D_pnotp.
% 83.55/83.77 exact zenon_H22a.
% 83.55/83.77 cut (((op1 (e11) (e11)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H22b].
% 83.55/83.77 cut (((op1 (e11) (e11)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H22c].
% 83.55/83.77 congruence.
% 83.55/83.77 cut (((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) = ((op1 (e11) (e11)) = (op1 (e10) (e11)))).
% 83.55/83.77 intro zenon_D_pnotp.
% 83.55/83.77 apply zenon_H22c.
% 83.55/83.77 rewrite <- zenon_D_pnotp.
% 83.55/83.77 exact zenon_H17.
% 83.55/83.77 cut (((op1 (e10) (op1 (e10) (op1 (e10) (e10)))) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H13].
% 83.55/83.77 cut (((e13) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H22d].
% 83.55/83.77 congruence.
% 83.55/83.77 elim (classic ((op1 (e11) (e11)) = (op1 (e11) (e11)))); [ zenon_intro zenon_H22a | zenon_intro zenon_H22b ].
% 83.55/83.77 cut (((op1 (e11) (e11)) = (op1 (e11) (e11))) = ((e13) = (op1 (e11) (e11)))).
% 83.55/83.77 intro zenon_D_pnotp.
% 83.55/83.77 apply zenon_H22d.
% 83.55/83.77 rewrite <- zenon_D_pnotp.
% 83.55/83.77 exact zenon_H22a.
% 83.55/83.77 cut (((op1 (e11) (e11)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H22b].
% 83.55/83.77 cut (((op1 (e11) (e11)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H22e].
% 83.55/83.77 congruence.
% 83.55/83.77 exact (zenon_H22e zenon_H228).
% 83.55/83.77 apply zenon_H22b. apply refl_equal.
% 83.55/83.77 apply zenon_H22b. apply refl_equal.
% 83.55/83.77 apply (zenon_L2_); trivial.
% 83.55/83.77 apply zenon_H22b. apply refl_equal.
% 83.55/83.77 apply zenon_H22b. apply refl_equal.
% 83.55/83.77 (* end of lemma zenon_L147_ *)
% 83.55/83.77 assert (zenon_L148_ : ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((op1 (e12) (e11)) = (e13)) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> False).
% 83.55/83.77 do 0 intro. intros zenon_H17 zenon_H22f zenon_H14 zenon_H230.
% 83.55/83.77 elim (classic ((op1 (e12) (e11)) = (op1 (e12) (e11)))); [ zenon_intro zenon_H231 | zenon_intro zenon_H1d7 ].
% 83.55/83.77 cut (((op1 (e12) (e11)) = (op1 (e12) (e11))) = ((op1 (e10) (e11)) = (op1 (e12) (e11)))).
% 83.55/83.77 intro zenon_D_pnotp.
% 83.55/83.77 apply zenon_H230.
% 83.55/83.77 rewrite <- zenon_D_pnotp.
% 83.55/83.77 exact zenon_H231.
% 83.55/83.77 cut (((op1 (e12) (e11)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H1d7].
% 83.55/83.77 cut (((op1 (e12) (e11)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H232].
% 83.55/83.77 congruence.
% 83.55/83.77 cut (((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) = ((op1 (e12) (e11)) = (op1 (e10) (e11)))).
% 83.55/83.77 intro zenon_D_pnotp.
% 83.55/83.77 apply zenon_H232.
% 83.55/83.77 rewrite <- zenon_D_pnotp.
% 83.55/83.77 exact zenon_H17.
% 83.55/83.77 cut (((op1 (e10) (op1 (e10) (op1 (e10) (e10)))) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H13].
% 83.55/83.77 cut (((e13) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H233].
% 83.55/83.77 congruence.
% 83.55/83.77 elim (classic ((op1 (e12) (e11)) = (op1 (e12) (e11)))); [ zenon_intro zenon_H231 | zenon_intro zenon_H1d7 ].
% 83.55/83.77 cut (((op1 (e12) (e11)) = (op1 (e12) (e11))) = ((e13) = (op1 (e12) (e11)))).
% 83.55/83.77 intro zenon_D_pnotp.
% 83.55/83.77 apply zenon_H233.
% 83.55/83.77 rewrite <- zenon_D_pnotp.
% 83.55/83.77 exact zenon_H231.
% 83.55/83.77 cut (((op1 (e12) (e11)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H1d7].
% 83.55/83.77 cut (((op1 (e12) (e11)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H234].
% 83.55/83.77 congruence.
% 83.55/83.77 exact (zenon_H234 zenon_H22f).
% 83.55/83.77 apply zenon_H1d7. apply refl_equal.
% 83.55/83.77 apply zenon_H1d7. apply refl_equal.
% 83.55/83.77 apply (zenon_L2_); trivial.
% 83.55/83.77 apply zenon_H1d7. apply refl_equal.
% 83.55/83.77 apply zenon_H1d7. apply refl_equal.
% 83.55/83.77 (* end of lemma zenon_L148_ *)
% 83.55/83.77 assert (zenon_L149_ : ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((op1 (e13) (e11)) = (e13)) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> False).
% 83.55/83.77 do 0 intro. intros zenon_H17 zenon_H235 zenon_H14 zenon_H236.
% 83.55/83.77 elim (classic ((op1 (e13) (e11)) = (op1 (e13) (e11)))); [ zenon_intro zenon_H237 | zenon_intro zenon_H238 ].
% 83.55/83.77 cut (((op1 (e13) (e11)) = (op1 (e13) (e11))) = ((op1 (e10) (e11)) = (op1 (e13) (e11)))).
% 83.55/83.77 intro zenon_D_pnotp.
% 83.55/83.77 apply zenon_H236.
% 83.55/83.77 rewrite <- zenon_D_pnotp.
% 83.55/83.77 exact zenon_H237.
% 83.55/83.77 cut (((op1 (e13) (e11)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H238].
% 83.55/83.77 cut (((op1 (e13) (e11)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H239].
% 83.55/83.77 congruence.
% 83.55/83.77 cut (((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) = ((op1 (e13) (e11)) = (op1 (e10) (e11)))).
% 83.55/83.77 intro zenon_D_pnotp.
% 83.55/83.77 apply zenon_H239.
% 83.55/83.77 rewrite <- zenon_D_pnotp.
% 83.55/83.77 exact zenon_H17.
% 83.55/83.77 cut (((op1 (e10) (op1 (e10) (op1 (e10) (e10)))) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H13].
% 83.55/83.77 cut (((e13) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H23a].
% 83.55/83.77 congruence.
% 83.55/83.77 elim (classic ((op1 (e13) (e11)) = (op1 (e13) (e11)))); [ zenon_intro zenon_H237 | zenon_intro zenon_H238 ].
% 83.55/83.77 cut (((op1 (e13) (e11)) = (op1 (e13) (e11))) = ((e13) = (op1 (e13) (e11)))).
% 83.55/83.77 intro zenon_D_pnotp.
% 83.55/83.77 apply zenon_H23a.
% 83.55/83.77 rewrite <- zenon_D_pnotp.
% 83.55/83.77 exact zenon_H237.
% 83.55/83.77 cut (((op1 (e13) (e11)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H238].
% 83.55/83.77 cut (((op1 (e13) (e11)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H23b].
% 83.55/83.77 congruence.
% 83.55/83.77 exact (zenon_H23b zenon_H235).
% 83.55/83.77 apply zenon_H238. apply refl_equal.
% 83.55/83.77 apply zenon_H238. apply refl_equal.
% 83.55/83.77 apply (zenon_L2_); trivial.
% 83.55/83.77 apply zenon_H238. apply refl_equal.
% 83.55/83.77 apply zenon_H238. apply refl_equal.
% 83.55/83.77 (* end of lemma zenon_L149_ *)
% 83.55/83.77 assert (zenon_L150_ : (((op1 (e11) (e10)) = (op1 (e10) (e11)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e10)))/\((~((op1 (e11) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e10) (e11))) = (e12)))/\(~((op1 (e13) (op1 (e10) (e11))) = (e13))))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> False).
% 83.55/83.77 do 0 intro. intros zenon_H23c zenon_H23d zenon_H25 zenon_H2c zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H50 zenon_H45 zenon_H56 zenon_H229 zenon_H230 zenon_H17 zenon_H14 zenon_H236.
% 83.55/83.77 apply (zenon_and_s _ _ zenon_H23c). zenon_intro zenon_H23f. zenon_intro zenon_H23e.
% 83.55/83.77 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_H224. zenon_intro zenon_H240.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H169 | zenon_intro zenon_H241 ].
% 83.55/83.77 apply (zenon_L146_); trivial.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H228 | zenon_intro zenon_H242 ].
% 83.55/83.77 apply (zenon_L147_); trivial.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H22f | zenon_intro zenon_H235 ].
% 83.55/83.77 apply (zenon_L148_); trivial.
% 83.55/83.77 apply (zenon_L149_); trivial.
% 83.55/83.77 (* end of lemma zenon_L150_ *)
% 83.55/83.77 assert (zenon_L151_ : (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((e21) = (e23))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> ((op2 (e22) (e20)) = (e20)) -> (~((e20) = (e23))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.55/83.77 do 0 intro. intros zenon_Hc9 zenon_Hba zenon_H118 zenon_H78 zenon_H112 zenon_H13e zenon_Hd6 zenon_H11b zenon_H21d zenon_H21e zenon_Hac zenon_Hb2 zenon_H15c zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ].
% 83.55/83.77 apply (zenon_L43_); trivial.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ].
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ].
% 83.55/83.77 apply (zenon_L43_); trivial.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ].
% 83.55/83.77 apply (zenon_L52_); trivial.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ].
% 83.55/83.77 apply (zenon_L139_); trivial.
% 83.55/83.77 apply (zenon_L140_); trivial.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ].
% 83.55/83.77 apply (zenon_L46_); trivial.
% 83.55/83.77 apply (zenon_L31_); trivial.
% 83.55/83.77 (* end of lemma zenon_L151_ *)
% 83.55/83.77 assert (zenon_L152_ : ((op2 (e22) (e20)) = (e20)) -> ((op2 (e22) (e20)) = (e21)) -> (~((e20) = (e21))) -> False).
% 83.55/83.77 do 0 intro. intros zenon_H21d zenon_Hbb zenon_Had.
% 83.55/83.77 elim (classic ((e21) = (e21))); [ zenon_intro zenon_Hae | zenon_intro zenon_Haf ].
% 83.55/83.77 cut (((e21) = (e21)) = ((e20) = (e21))).
% 83.55/83.77 intro zenon_D_pnotp.
% 83.55/83.77 apply zenon_Had.
% 83.55/83.77 rewrite <- zenon_D_pnotp.
% 83.55/83.77 exact zenon_Hae.
% 83.55/83.77 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Haf].
% 83.55/83.77 cut (((e21) = (e20))); [idtac | apply NNPP; zenon_intro zenon_Hb0].
% 83.55/83.77 congruence.
% 83.55/83.77 cut (((op2 (e22) (e20)) = (e20)) = ((e21) = (e20))).
% 83.55/83.77 intro zenon_D_pnotp.
% 83.55/83.77 apply zenon_Hb0.
% 83.55/83.77 rewrite <- zenon_D_pnotp.
% 83.55/83.77 exact zenon_H21d.
% 83.55/83.77 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H60].
% 83.55/83.77 cut (((op2 (e22) (e20)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H243].
% 83.55/83.77 congruence.
% 83.55/83.77 exact (zenon_H243 zenon_Hbb).
% 83.55/83.77 apply zenon_H60. apply refl_equal.
% 83.55/83.77 apply zenon_Haf. apply refl_equal.
% 83.55/83.77 apply zenon_Haf. apply refl_equal.
% 83.55/83.77 (* end of lemma zenon_L152_ *)
% 83.55/83.77 assert (zenon_L153_ : (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (e12) (e10)) = (op1 (e10) (e12))) -> ((op1 (e13) (e10)) = (e11)) -> False).
% 83.55/83.77 do 0 intro. intros zenon_H16d zenon_H244 zenon_H245 zenon_H195.
% 83.55/83.77 cut (((op1 (e10) (e12)) = (e11)) = ((op1 (e12) (e10)) = (op1 (e13) (e10)))).
% 83.55/83.77 intro zenon_D_pnotp.
% 83.55/83.77 apply zenon_H16d.
% 83.55/83.77 rewrite <- zenon_D_pnotp.
% 83.55/83.77 exact zenon_H244.
% 83.55/83.77 cut (((e11) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H246].
% 83.55/83.77 cut (((op1 (e10) (e12)) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H247].
% 83.55/83.77 congruence.
% 83.55/83.77 elim (classic ((op1 (e12) (e10)) = (op1 (e12) (e10)))); [ zenon_intro zenon_H18f | zenon_intro zenon_H190 ].
% 83.55/83.77 cut (((op1 (e12) (e10)) = (op1 (e12) (e10))) = ((op1 (e10) (e12)) = (op1 (e12) (e10)))).
% 83.55/83.77 intro zenon_D_pnotp.
% 83.55/83.77 apply zenon_H247.
% 83.55/83.77 rewrite <- zenon_D_pnotp.
% 83.55/83.77 exact zenon_H18f.
% 83.55/83.77 cut (((op1 (e12) (e10)) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H190].
% 83.55/83.77 cut (((op1 (e12) (e10)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H248].
% 83.55/83.77 congruence.
% 83.55/83.77 exact (zenon_H248 zenon_H245).
% 83.55/83.77 apply zenon_H190. apply refl_equal.
% 83.55/83.77 apply zenon_H190. apply refl_equal.
% 83.55/83.77 apply zenon_H246. apply sym_equal. exact zenon_H195.
% 83.55/83.77 (* end of lemma zenon_L153_ *)
% 83.55/83.77 assert (zenon_L154_ : (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> ((op1 (e12) (e10)) = (op1 (e10) (e12))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((op1 (e11) (e10)) = (e10)) -> (~((e10) = (e11))) -> (~((e11) = (e12))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> False).
% 83.55/83.77 do 0 intro. intros zenon_H249 zenon_H245 zenon_H16d zenon_H173 zenon_H16 zenon_H16b zenon_H1e zenon_H17 zenon_H25 zenon_H161 zenon_H163 zenon_H2e zenon_H1f3 zenon_H14 zenon_H2c zenon_H3a.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H2d | zenon_intro zenon_H24a ].
% 83.55/83.77 apply (zenon_L7_); trivial.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H34 | zenon_intro zenon_H24b ].
% 83.55/83.77 apply (zenon_L9_); trivial.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H244 | zenon_intro zenon_H39 ].
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H2d | zenon_intro zenon_H1f6 ].
% 83.55/83.77 apply (zenon_L7_); trivial.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H162 | zenon_intro zenon_H1f7 ].
% 83.55/83.77 apply (zenon_L90_); trivial.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H16c | zenon_intro zenon_H195 ].
% 83.55/83.77 apply (zenon_L93_); trivial.
% 83.55/83.77 apply (zenon_L153_); trivial.
% 83.55/83.77 apply (zenon_L10_); trivial.
% 83.55/83.77 (* end of lemma zenon_L154_ *)
% 83.55/83.77 assert (zenon_L155_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((e20) = (e21))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (~((h1 (op1 (e11) (e10))) = (op2 (h1 (e11)) (h1 (e10))))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((h1 (e10)) = (e20)) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> ((op1 (e12) (e10)) = (op1 (e10) (e12))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((e11) = (e12))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((e20) = (e23))) -> ((op2 (e22) (e20)) = (e20)) -> (~((e21) = (e23))) -> False).
% 83.55/83.77 do 0 intro. intros zenon_H15b zenon_Ha8 zenon_H8a zenon_Hc3 zenon_H11b zenon_H13e zenon_H112 zenon_H78 zenon_H118 zenon_Hba zenon_Hc9 zenon_Had zenon_H15c zenon_Hb2 zenon_H25 zenon_H14 zenon_H17 zenon_H1e zenon_H20d zenon_H163 zenon_H1bf zenon_H204 zenon_H2c zenon_H20a zenon_H16b zenon_H16 zenon_H173 zenon_H1ee zenon_H200 zenon_H210 zenon_H5c zenon_H5d zenon_H1fd zenon_H7a zenon_H64 zenon_H1f5 zenon_H249 zenon_H245 zenon_H16d zenon_H2e zenon_H1f3 zenon_H3a zenon_H3f zenon_H220 zenon_H21e zenon_H21d zenon_Hd6.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.55/83.77 apply (zenon_L41_); trivial.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.55/83.77 apply (zenon_L151_); trivial.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.55/83.77 apply (zenon_L152_); trivial.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ].
% 83.55/83.77 apply (zenon_L43_); trivial.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ].
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ].
% 83.55/83.77 apply (zenon_L11_); trivial.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ].
% 83.55/83.77 apply (zenon_L154_); trivial.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ].
% 83.55/83.77 apply (zenon_L136_); trivial.
% 83.55/83.77 apply (zenon_L138_); trivial.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ].
% 83.55/83.77 apply (zenon_L139_); trivial.
% 83.55/83.77 apply (zenon_L88_); trivial.
% 83.55/83.77 (* end of lemma zenon_L155_ *)
% 83.55/83.77 assert (zenon_L156_ : (~((op1 (e11) (op1 (e10) (e13))) = (op1 (e11) (e10)))) -> ((op1 (e10) (e13)) = (e10)) -> False).
% 83.55/83.77 do 0 intro. intros zenon_H24c zenon_H42.
% 83.55/83.77 cut (((op1 (e10) (e13)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H6c].
% 83.55/83.77 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H165].
% 83.55/83.77 congruence.
% 83.55/83.77 apply zenon_H165. apply refl_equal.
% 83.55/83.77 exact (zenon_H6c zenon_H42).
% 83.55/83.77 (* end of lemma zenon_L156_ *)
% 83.55/83.77 assert (zenon_L157_ : (~((op1 (e11) (op1 (e10) (e13))) = (e11))) -> ((op1 (e11) (e10)) = (e11)) -> ((op1 (e10) (e13)) = (e10)) -> False).
% 83.55/83.77 do 0 intro. intros zenon_H24d zenon_H162 zenon_H42.
% 83.55/83.77 cut (((op1 (e11) (e10)) = (e11)) = ((op1 (e11) (op1 (e10) (e13))) = (e11))).
% 83.55/83.77 intro zenon_D_pnotp.
% 83.55/83.77 apply zenon_H24d.
% 83.55/83.77 rewrite <- zenon_D_pnotp.
% 83.55/83.77 exact zenon_H162.
% 83.55/83.77 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H165].
% 83.55/83.77 cut (((op1 (e11) (e10)) = (op1 (e11) (op1 (e10) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H24e].
% 83.55/83.77 congruence.
% 83.55/83.77 elim (classic ((op1 (e11) (op1 (e10) (e13))) = (op1 (e11) (op1 (e10) (e13))))); [ zenon_intro zenon_H24f | zenon_intro zenon_H250 ].
% 83.55/83.77 cut (((op1 (e11) (op1 (e10) (e13))) = (op1 (e11) (op1 (e10) (e13)))) = ((op1 (e11) (e10)) = (op1 (e11) (op1 (e10) (e13))))).
% 83.55/83.77 intro zenon_D_pnotp.
% 83.55/83.77 apply zenon_H24e.
% 83.55/83.77 rewrite <- zenon_D_pnotp.
% 83.55/83.77 exact zenon_H24f.
% 83.55/83.77 cut (((op1 (e11) (op1 (e10) (e13))) = (op1 (e11) (op1 (e10) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H250].
% 83.55/83.77 cut (((op1 (e11) (op1 (e10) (e13))) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H24c].
% 83.55/83.77 congruence.
% 83.55/83.77 apply (zenon_L156_); trivial.
% 83.55/83.77 apply zenon_H250. apply refl_equal.
% 83.55/83.77 apply zenon_H250. apply refl_equal.
% 83.55/83.77 apply zenon_H165. apply refl_equal.
% 83.55/83.77 (* end of lemma zenon_L157_ *)
% 83.55/83.77 assert (zenon_L158_ : (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e12) (e11)) = (e10)) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e10)) = (e13)) -> ((op1 (e13) (e11)) = (e12)) -> (~((e10) = (e12))) -> ((op1 (e13) (e10)) = (e11)) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e13)) = (e12)) -> False).
% 83.55/83.77 do 0 intro. intros zenon_H1b6 zenon_H18e zenon_H181 zenon_H42 zenon_H53 zenon_H1ad zenon_H19a zenon_H1a0 zenon_H2c zenon_H14 zenon_H1a5 zenon_H1a9 zenon_H1aa zenon_H198 zenon_H3f zenon_H195 zenon_H163 zenon_H1b0 zenon_H1e4 zenon_H1e5.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H18d | zenon_intro zenon_H1b7 ].
% 83.55/83.77 apply (zenon_L101_); trivial.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H182 | zenon_intro zenon_H1b8 ].
% 83.55/83.77 apply (zenon_L98_); trivial.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1b4 ].
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H194 | zenon_intro zenon_H1b1 ].
% 83.55/83.77 apply (zenon_L102_); trivial.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H197 | zenon_intro zenon_H1b2 ].
% 83.55/83.77 apply (zenon_L103_); trivial.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H19c | zenon_intro zenon_H54 ].
% 83.55/83.77 apply (zenon_L108_); trivial.
% 83.55/83.77 apply (zenon_L18_); trivial.
% 83.55/83.77 apply (zenon_L122_); trivial.
% 83.55/83.77 (* end of lemma zenon_L158_ *)
% 83.55/83.77 assert (zenon_L159_ : ((op1 (e11) (e12)) = (e10)) -> ((op1 (e11) (e12)) = (e13)) -> (~((e10) = (e13))) -> False).
% 83.55/83.77 do 0 intro. intros zenon_H19b zenon_H1ab zenon_H200.
% 83.55/83.77 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H1ef | zenon_intro zenon_H1f0 ].
% 83.55/83.77 cut (((e13) = (e13)) = ((e10) = (e13))).
% 83.55/83.77 intro zenon_D_pnotp.
% 83.55/83.77 apply zenon_H200.
% 83.55/83.77 rewrite <- zenon_D_pnotp.
% 83.55/83.77 exact zenon_H1ef.
% 83.55/83.77 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H1f0].
% 83.55/83.77 cut (((e13) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H201].
% 83.55/83.77 congruence.
% 83.55/83.77 cut (((op1 (e11) (e12)) = (e10)) = ((e13) = (e10))).
% 83.55/83.77 intro zenon_D_pnotp.
% 83.55/83.77 apply zenon_H201.
% 83.55/83.77 rewrite <- zenon_D_pnotp.
% 83.55/83.77 exact zenon_H19b.
% 83.55/83.77 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H12].
% 83.55/83.77 cut (((op1 (e11) (e12)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H251].
% 83.55/83.77 congruence.
% 83.55/83.77 exact (zenon_H251 zenon_H1ab).
% 83.55/83.77 apply zenon_H12. apply refl_equal.
% 83.55/83.77 apply zenon_H1f0. apply refl_equal.
% 83.55/83.77 apply zenon_H1f0. apply refl_equal.
% 83.55/83.77 (* end of lemma zenon_L159_ *)
% 83.55/83.77 assert (zenon_L160_ : (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e13)) = (e10)) -> ((op1 (e13) (e10)) = (op1 (e10) (e13))) -> ((op1 (e13) (e12)) = (e10)) -> False).
% 83.55/83.77 do 0 intro. intros zenon_H252 zenon_H42 zenon_H253 zenon_H19c.
% 83.55/83.77 cut (((op1 (e10) (e13)) = (e10)) = ((op1 (e13) (e10)) = (op1 (e13) (e12)))).
% 83.55/83.77 intro zenon_D_pnotp.
% 83.55/83.77 apply zenon_H252.
% 83.55/83.77 rewrite <- zenon_D_pnotp.
% 83.55/83.77 exact zenon_H42.
% 83.55/83.77 cut (((e10) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H19d].
% 83.55/83.77 cut (((op1 (e10) (e13)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H254].
% 83.55/83.77 congruence.
% 83.55/83.77 elim (classic ((op1 (e13) (e10)) = (op1 (e13) (e10)))); [ zenon_intro zenon_H16e | zenon_intro zenon_H16f ].
% 83.55/83.77 cut (((op1 (e13) (e10)) = (op1 (e13) (e10))) = ((op1 (e10) (e13)) = (op1 (e13) (e10)))).
% 83.55/83.77 intro zenon_D_pnotp.
% 83.55/83.77 apply zenon_H254.
% 83.55/83.77 rewrite <- zenon_D_pnotp.
% 83.55/83.77 exact zenon_H16e.
% 83.55/83.77 cut (((op1 (e13) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H16f].
% 83.55/83.77 cut (((op1 (e13) (e10)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H255].
% 83.55/83.77 congruence.
% 83.55/83.77 exact (zenon_H255 zenon_H253).
% 83.55/83.77 apply zenon_H16f. apply refl_equal.
% 83.55/83.77 apply zenon_H16f. apply refl_equal.
% 83.55/83.77 apply zenon_H19d. apply sym_equal. exact zenon_H19c.
% 83.55/83.77 (* end of lemma zenon_L160_ *)
% 83.55/83.77 assert (zenon_L161_ : (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((e10) = (e13))) -> ((op1 (e11) (e12)) = (e13)) -> ((op1 (e12) (e11)) = (e10)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e13)) = (e10)) -> ((op1 (e13) (e10)) = (op1 (e10) (e13))) -> False).
% 83.55/83.77 do 0 intro. intros zenon_H256 zenon_H3a zenon_H200 zenon_H1ab zenon_H181 zenon_H1d4 zenon_H252 zenon_H42 zenon_H253.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H59 | zenon_intro zenon_H257 ].
% 83.55/83.77 apply (zenon_L21_); trivial.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H19b | zenon_intro zenon_H258 ].
% 83.55/83.77 apply (zenon_L159_); trivial.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H19c ].
% 83.55/83.77 apply (zenon_L117_); trivial.
% 83.55/83.77 apply (zenon_L160_); trivial.
% 83.55/83.77 (* end of lemma zenon_L161_ *)
% 83.55/83.77 assert (zenon_L162_ : ((op1 (e11) (e13)) = (e12)) -> ((op1 (e11) (e13)) = (e13)) -> (~((e12) = (e13))) -> False).
% 83.55/83.77 do 0 intro. intros zenon_H1e5 zenon_H259 zenon_H25a.
% 83.55/83.77 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H1ef | zenon_intro zenon_H1f0 ].
% 83.55/83.77 cut (((e13) = (e13)) = ((e12) = (e13))).
% 83.55/83.77 intro zenon_D_pnotp.
% 83.55/83.77 apply zenon_H25a.
% 83.55/83.77 rewrite <- zenon_D_pnotp.
% 83.55/83.77 exact zenon_H1ef.
% 83.55/83.77 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H1f0].
% 83.55/83.77 cut (((e13) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H25b].
% 83.55/83.77 congruence.
% 83.55/83.77 cut (((op1 (e11) (e13)) = (e12)) = ((e13) = (e12))).
% 83.55/83.77 intro zenon_D_pnotp.
% 83.55/83.77 apply zenon_H25b.
% 83.55/83.77 rewrite <- zenon_D_pnotp.
% 83.55/83.77 exact zenon_H1e5.
% 83.55/83.77 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2b].
% 83.55/83.77 cut (((op1 (e11) (e13)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H25c].
% 83.55/83.77 congruence.
% 83.55/83.77 exact (zenon_H25c zenon_H259).
% 83.55/83.77 apply zenon_H2b. apply refl_equal.
% 83.55/83.77 apply zenon_H1f0. apply refl_equal.
% 83.55/83.77 apply zenon_H1f0. apply refl_equal.
% 83.55/83.77 (* end of lemma zenon_L162_ *)
% 83.55/83.77 assert (zenon_L163_ : (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e11))) -> ((op1 (e13) (e10)) = (e11)) -> (~((e10) = (e12))) -> ((op1 (e13) (e11)) = (e12)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((op1 (e13) (e10)) = (op1 (e10) (e13))) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e11)) = (e10)) -> (~((e10) = (e13))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> ((op1 (e11) (e13)) = (e12)) -> (~((e12) = (e13))) -> False).
% 83.55/83.77 do 0 intro. intros zenon_H25d zenon_H1e4 zenon_H1b0 zenon_H163 zenon_H195 zenon_H3f zenon_H198 zenon_H1a9 zenon_H1a5 zenon_H2c zenon_H1a0 zenon_H19a zenon_H1ad zenon_H53 zenon_H18e zenon_H1b6 zenon_H229 zenon_H14 zenon_H17 zenon_H253 zenon_H42 zenon_H252 zenon_H1d4 zenon_H181 zenon_H200 zenon_H3a zenon_H256 zenon_H1e5 zenon_H25a.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H1aa | zenon_intro zenon_H25e ].
% 83.55/83.77 apply (zenon_L158_); trivial.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H228 | zenon_intro zenon_H25f ].
% 83.55/83.77 apply (zenon_L147_); trivial.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H25f); [ zenon_intro zenon_H1ab | zenon_intro zenon_H259 ].
% 83.55/83.77 apply (zenon_L161_); trivial.
% 83.55/83.77 apply (zenon_L162_); trivial.
% 83.55/83.77 (* end of lemma zenon_L163_ *)
% 83.55/83.77 assert (zenon_L164_ : (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e11) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> ((op1 (e11) (e10)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((e11) = (e12))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e13) (e10)) = (op1 (e10) (e13))) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (op1 (e10) (e13))) = (e11))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 83.55/83.77 do 0 intro. intros zenon_H1f3 zenon_H173 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H1ee zenon_H20d zenon_H1c8 zenon_H161 zenon_H176 zenon_H163 zenon_H1e8 zenon_H1cf zenon_H1d8 zenon_H1a5 zenon_H187 zenon_H1d4 zenon_H1dc zenon_H2e zenon_H1c9 zenon_H1a0 zenon_H1b9 zenon_H16 zenon_H25d zenon_H1e4 zenon_H1b0 zenon_H3f zenon_H1a9 zenon_H19a zenon_H1ad zenon_H53 zenon_H18e zenon_H1b6 zenon_H229 zenon_H253 zenon_H42 zenon_H252 zenon_H200 zenon_H3a zenon_H256 zenon_H25a zenon_H24d zenon_H1f4 zenon_H1c2 zenon_H50 zenon_H45 zenon_H56 zenon_H1ba zenon_H16d zenon_H49 zenon_H4d zenon_H1f5 zenon_H1e zenon_H17 zenon_H14 zenon_H25.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H2d | zenon_intro zenon_H1f6 ].
% 83.55/83.77 apply (zenon_L7_); trivial.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H162 | zenon_intro zenon_H1f7 ].
% 83.55/83.77 apply (zenon_L157_); trivial.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H16c | zenon_intro zenon_H195 ].
% 83.55/83.77 apply (zenon_L93_); trivial.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H18 | zenon_intro zenon_H174 ].
% 83.55/83.77 apply (zenon_L3_); trivial.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H169 | zenon_intro zenon_H175 ].
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H18 | zenon_intro zenon_H1f8 ].
% 83.55/83.77 apply (zenon_L3_); trivial.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1f9 ].
% 83.55/83.77 apply (zenon_L115_); trivial.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1d9 | zenon_intro zenon_H1ed ].
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H43 | zenon_intro zenon_H1ca ].
% 83.55/83.77 apply (zenon_L12_); trivial.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H177 | zenon_intro zenon_H1cb ].
% 83.55/83.77 apply (zenon_L94_); trivial.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H181 | zenon_intro zenon_H197 ].
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H162 | zenon_intro zenon_H1fa ].
% 83.55/83.77 apply (zenon_L157_); trivial.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H17e | zenon_intro zenon_H1fb ].
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1ce | zenon_intro zenon_H1e9 ].
% 83.55/83.77 apply (zenon_L116_); trivial.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H17f | zenon_intro zenon_H1ea ].
% 83.55/83.77 apply (zenon_L97_); trivial.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1e5 ].
% 83.55/83.77 apply (zenon_L119_); trivial.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H17a | zenon_intro zenon_H1bb ].
% 83.55/83.77 apply (zenon_L95_); trivial.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H17f | zenon_intro zenon_H1bc ].
% 83.55/83.77 apply (zenon_L97_); trivial.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H182 | zenon_intro zenon_H198 ].
% 83.55/83.77 apply (zenon_L98_); trivial.
% 83.55/83.77 apply (zenon_L163_); trivial.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H19f | zenon_intro zenon_H1eb ].
% 83.55/83.77 apply (zenon_L105_); trivial.
% 83.55/83.77 apply (zenon_L127_); trivial.
% 83.55/83.77 apply (zenon_L114_); trivial.
% 83.55/83.77 apply (zenon_L135_); trivial.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H24 ].
% 83.55/83.77 apply (zenon_L4_); trivial.
% 83.55/83.77 apply (zenon_L5_); trivial.
% 83.55/83.77 (* end of lemma zenon_L164_ *)
% 83.55/83.77 assert (zenon_L165_ : (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((e21) = (e23))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> ((op2 (e22) (e20)) = (e20)) -> (~((e20) = (e23))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (op1 (e10) (e13))) = (e11))) -> (~((e12) = (e13))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e10)) = (op1 (e10) (e13))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((e11) = (e12))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> ((h1 (e10)) = (e20)) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((h1 (op1 (e11) (e10))) = (op2 (h1 (e11)) (h1 (e10))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.55/83.77 do 0 intro. intros zenon_Hc9 zenon_Hba zenon_H118 zenon_H78 zenon_H112 zenon_H13e zenon_Hd6 zenon_H11b zenon_H21d zenon_H21e zenon_H61 zenon_H220 zenon_H4d zenon_H49 zenon_H16d zenon_H1ba zenon_H56 zenon_H45 zenon_H50 zenon_H1c2 zenon_H1f4 zenon_H24d zenon_H25a zenon_H256 zenon_H3a zenon_H252 zenon_H253 zenon_H229 zenon_H1b6 zenon_H18e zenon_H53 zenon_H1ad zenon_H19a zenon_H1a9 zenon_H3f zenon_H1b0 zenon_H1e4 zenon_H25d zenon_H1b9 zenon_H1a0 zenon_H1c9 zenon_H2e zenon_H1dc zenon_H1d4 zenon_H187 zenon_H1a5 zenon_H1d8 zenon_H1cf zenon_H1e8 zenon_H176 zenon_H1c8 zenon_H1f3 zenon_H1f5 zenon_H64 zenon_H1fd zenon_H5c zenon_H210 zenon_H200 zenon_H1ee zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25 zenon_Hb2 zenon_H15c zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ].
% 83.55/83.77 apply (zenon_L43_); trivial.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ].
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ].
% 83.55/83.77 apply (zenon_L43_); trivial.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ].
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ].
% 83.55/83.77 apply (zenon_L11_); trivial.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ].
% 83.55/83.77 apply (zenon_L20_); trivial.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ].
% 83.55/83.77 apply (zenon_L22_); trivial.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ].
% 83.55/83.77 apply (zenon_L11_); trivial.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ].
% 83.55/83.77 apply (zenon_L164_); trivial.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ].
% 83.55/83.77 apply (zenon_L136_); trivial.
% 83.55/83.77 apply (zenon_L138_); trivial.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ].
% 83.55/83.77 apply (zenon_L139_); trivial.
% 83.55/83.77 apply (zenon_L140_); trivial.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ].
% 83.55/83.77 apply (zenon_L46_); trivial.
% 83.55/83.77 apply (zenon_L31_); trivial.
% 83.55/83.77 (* end of lemma zenon_L165_ *)
% 83.55/83.77 assert (zenon_L166_ : (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e11) (e10)) = (e10)) -> ((op1 (e10) (e11)) = (op1 (e11) (e10))) -> ((op1 (e12) (e11)) = (e10)) -> False).
% 83.55/83.77 do 0 intro. intros zenon_H230 zenon_H161 zenon_H260 zenon_H181.
% 83.55/83.77 cut (((op1 (e11) (e10)) = (e10)) = ((op1 (e10) (e11)) = (op1 (e12) (e11)))).
% 83.55/83.77 intro zenon_D_pnotp.
% 83.55/83.77 apply zenon_H230.
% 83.55/83.77 rewrite <- zenon_D_pnotp.
% 83.55/83.77 exact zenon_H161.
% 83.55/83.77 cut (((e10) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H261].
% 83.55/83.77 cut (((op1 (e11) (e10)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H262].
% 83.55/83.77 congruence.
% 83.55/83.77 elim (classic ((op1 (e10) (e11)) = (op1 (e10) (e11)))); [ zenon_intro zenon_H36 | zenon_intro zenon_H37 ].
% 83.55/83.77 cut (((op1 (e10) (e11)) = (op1 (e10) (e11))) = ((op1 (e11) (e10)) = (op1 (e10) (e11)))).
% 83.55/83.77 intro zenon_D_pnotp.
% 83.55/83.77 apply zenon_H262.
% 83.55/83.77 rewrite <- zenon_D_pnotp.
% 83.55/83.77 exact zenon_H36.
% 83.55/83.77 cut (((op1 (e10) (e11)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H37].
% 83.55/83.77 cut (((op1 (e10) (e11)) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H263].
% 83.55/83.77 congruence.
% 83.55/83.77 exact (zenon_H263 zenon_H260).
% 83.55/83.77 apply zenon_H37. apply refl_equal.
% 83.55/83.77 apply zenon_H37. apply refl_equal.
% 83.55/83.77 apply zenon_H261. apply sym_equal. exact zenon_H181.
% 83.55/83.77 (* end of lemma zenon_L166_ *)
% 83.55/83.77 assert (zenon_L167_ : (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e11) (e10)) = (e10)) -> ((op1 (e10) (e11)) = (op1 (e11) (e10))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e10) (e13)) = (e10)) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 83.55/83.77 do 0 intro. intros zenon_H173 zenon_H16 zenon_H1c2 zenon_H230 zenon_H161 zenon_H260 zenon_H176 zenon_H42 zenon_H1c8 zenon_H1e zenon_H17 zenon_H14 zenon_H25.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H18 | zenon_intro zenon_H174 ].
% 83.55/83.77 apply (zenon_L3_); trivial.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H169 | zenon_intro zenon_H175 ].
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H43 | zenon_intro zenon_H1ca ].
% 83.55/83.77 apply (zenon_L12_); trivial.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H177 | zenon_intro zenon_H1cb ].
% 83.55/83.77 apply (zenon_L94_); trivial.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H181 | zenon_intro zenon_H197 ].
% 83.55/83.77 apply (zenon_L166_); trivial.
% 83.55/83.77 apply (zenon_L114_); trivial.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H24 ].
% 83.55/83.77 apply (zenon_L4_); trivial.
% 83.55/83.77 apply (zenon_L5_); trivial.
% 83.55/83.77 (* end of lemma zenon_L167_ *)
% 83.55/83.77 assert (zenon_L168_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((e20) = (e21))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (~((h1 (op1 (e11) (e10))) = (op2 (h1 (e11)) (h1 (e10))))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((h1 (e10)) = (e20)) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e10) (e11)) = (op1 (e11) (e10))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((e10) = (e12))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((e20) = (e23))) -> ((op2 (e22) (e20)) = (e20)) -> (~((e21) = (e23))) -> False).
% 83.55/83.77 do 0 intro. intros zenon_H15b zenon_Ha8 zenon_H8a zenon_Hc3 zenon_H11b zenon_H13e zenon_H112 zenon_H78 zenon_H118 zenon_Hba zenon_Hc9 zenon_Had zenon_H15c zenon_Hb2 zenon_H25 zenon_H14 zenon_H17 zenon_H1e zenon_H20d zenon_H163 zenon_H1bf zenon_H204 zenon_H2c zenon_H20a zenon_H16b zenon_H16 zenon_H173 zenon_H1ee zenon_H200 zenon_H210 zenon_H5c zenon_H5d zenon_H1fd zenon_H7a zenon_H64 zenon_H1f5 zenon_H1c2 zenon_H230 zenon_H260 zenon_H176 zenon_H1c8 zenon_H3f zenon_H220 zenon_H56 zenon_H45 zenon_H50 zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H61 zenon_H21e zenon_H21d zenon_Hd6.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.55/83.77 apply (zenon_L41_); trivial.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.55/83.77 apply (zenon_L151_); trivial.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.55/83.77 apply (zenon_L152_); trivial.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ].
% 83.55/83.77 apply (zenon_L43_); trivial.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ].
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ].
% 83.55/83.77 apply (zenon_L11_); trivial.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ].
% 83.55/83.77 apply (zenon_L20_); trivial.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ].
% 83.55/83.77 apply (zenon_L22_); trivial.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ].
% 83.55/83.77 apply (zenon_L11_); trivial.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ].
% 83.55/83.77 apply (zenon_L167_); trivial.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ].
% 83.55/83.77 apply (zenon_L136_); trivial.
% 83.55/83.77 apply (zenon_L138_); trivial.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ].
% 83.55/83.77 apply (zenon_L139_); trivial.
% 83.55/83.77 apply (zenon_L88_); trivial.
% 83.55/83.77 (* end of lemma zenon_L168_ *)
% 83.55/83.77 assert (zenon_L169_ : (~((op1 (e11) (op1 (e11) (e11))) = (op1 (e11) (e11)))) -> ((op1 (e11) (e11)) = (e11)) -> False).
% 83.55/83.77 do 0 intro. intros zenon_H264 zenon_H17e.
% 83.55/83.77 cut (((op1 (e11) (e11)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H265].
% 83.55/83.77 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H165].
% 83.55/83.77 congruence.
% 83.55/83.77 apply zenon_H165. apply refl_equal.
% 83.55/83.77 exact (zenon_H265 zenon_H17e).
% 83.55/83.77 (* end of lemma zenon_L169_ *)
% 83.55/83.77 assert (zenon_L170_ : (~((op1 (e11) (op1 (e11) (e11))) = (e11))) -> ((op1 (e11) (e11)) = (e11)) -> False).
% 83.55/83.77 do 0 intro. intros zenon_H266 zenon_H17e.
% 83.55/83.77 cut (((op1 (e11) (e11)) = (e11)) = ((op1 (e11) (op1 (e11) (e11))) = (e11))).
% 83.55/83.77 intro zenon_D_pnotp.
% 83.55/83.77 apply zenon_H266.
% 83.55/83.77 rewrite <- zenon_D_pnotp.
% 83.55/83.77 exact zenon_H17e.
% 83.55/83.77 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H165].
% 83.55/83.77 cut (((op1 (e11) (e11)) = (op1 (e11) (op1 (e11) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H267].
% 83.55/83.77 congruence.
% 83.55/83.77 elim (classic ((op1 (e11) (op1 (e11) (e11))) = (op1 (e11) (op1 (e11) (e11))))); [ zenon_intro zenon_H268 | zenon_intro zenon_H269 ].
% 83.55/83.77 cut (((op1 (e11) (op1 (e11) (e11))) = (op1 (e11) (op1 (e11) (e11)))) = ((op1 (e11) (e11)) = (op1 (e11) (op1 (e11) (e11))))).
% 83.55/83.77 intro zenon_D_pnotp.
% 83.55/83.77 apply zenon_H267.
% 83.55/83.77 rewrite <- zenon_D_pnotp.
% 83.55/83.77 exact zenon_H268.
% 83.55/83.77 cut (((op1 (e11) (op1 (e11) (e11))) = (op1 (e11) (op1 (e11) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H269].
% 83.55/83.77 cut (((op1 (e11) (op1 (e11) (e11))) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H264].
% 83.55/83.77 congruence.
% 83.55/83.77 apply (zenon_L169_); trivial.
% 83.55/83.77 apply zenon_H269. apply refl_equal.
% 83.55/83.77 apply zenon_H269. apply refl_equal.
% 83.55/83.77 apply zenon_H165. apply refl_equal.
% 83.55/83.77 (* end of lemma zenon_L170_ *)
% 83.55/83.77 assert (zenon_L171_ : (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e11) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((e11) = (e12))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (op1 (e11) (e11))) = (e11))) -> ((op1 (e11) (e10)) = (e10)) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 83.55/83.77 do 0 intro. intros zenon_H1f3 zenon_H173 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H1ee zenon_H20d zenon_H1c8 zenon_H42 zenon_H176 zenon_H163 zenon_H1e8 zenon_H1cf zenon_H1d8 zenon_H1a5 zenon_H187 zenon_H1d4 zenon_H1dc zenon_H2e zenon_H1c9 zenon_H1a0 zenon_H266 zenon_H161 zenon_H1f4 zenon_H1c2 zenon_H50 zenon_H45 zenon_H56 zenon_H1b9 zenon_H16 zenon_H1ba zenon_H16d zenon_H1b6 zenon_H18e zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H1ad zenon_H19a zenon_H1a9 zenon_H3f zenon_H1b0 zenon_H1f5 zenon_H1e zenon_H17 zenon_H14 zenon_H25.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H2d | zenon_intro zenon_H1f6 ].
% 83.55/83.77 apply (zenon_L7_); trivial.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H162 | zenon_intro zenon_H1f7 ].
% 83.55/83.77 apply (zenon_L90_); trivial.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H16c | zenon_intro zenon_H195 ].
% 83.55/83.77 apply (zenon_L93_); trivial.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H18 | zenon_intro zenon_H174 ].
% 83.55/83.77 apply (zenon_L3_); trivial.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H169 | zenon_intro zenon_H175 ].
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H18 | zenon_intro zenon_H1f8 ].
% 83.55/83.77 apply (zenon_L3_); trivial.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1f9 ].
% 83.55/83.77 apply (zenon_L115_); trivial.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1d9 | zenon_intro zenon_H1ed ].
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H43 | zenon_intro zenon_H1ca ].
% 83.55/83.77 apply (zenon_L12_); trivial.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H177 | zenon_intro zenon_H1cb ].
% 83.55/83.77 apply (zenon_L94_); trivial.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H181 | zenon_intro zenon_H197 ].
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H162 | zenon_intro zenon_H1fa ].
% 83.55/83.77 apply (zenon_L90_); trivial.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H17e | zenon_intro zenon_H1fb ].
% 83.55/83.77 apply (zenon_L170_); trivial.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H19f | zenon_intro zenon_H1eb ].
% 83.55/83.77 apply (zenon_L105_); trivial.
% 83.55/83.77 apply (zenon_L127_); trivial.
% 83.55/83.77 apply (zenon_L114_); trivial.
% 83.55/83.77 apply (zenon_L135_); trivial.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H24 ].
% 83.55/83.77 apply (zenon_L4_); trivial.
% 83.55/83.77 apply (zenon_L5_); trivial.
% 83.55/83.77 (* end of lemma zenon_L171_ *)
% 83.55/83.77 assert (zenon_L172_ : (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((e21) = (e23))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> ((op2 (e22) (e20)) = (e20)) -> (~((e20) = (e23))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (op1 (e11) (e11))) = (e11))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((e11) = (e12))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> ((h1 (e10)) = (e20)) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((h1 (op1 (e11) (e10))) = (op2 (h1 (e11)) (h1 (e10))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.55/83.77 do 0 intro. intros zenon_Hc9 zenon_Hba zenon_H118 zenon_H78 zenon_H112 zenon_H13e zenon_Hd6 zenon_H11b zenon_H21d zenon_H21e zenon_H61 zenon_H220 zenon_H1b0 zenon_H3f zenon_H1a9 zenon_H19a zenon_H1ad zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H18e zenon_H1b6 zenon_H16d zenon_H1ba zenon_H1b9 zenon_H56 zenon_H45 zenon_H50 zenon_H1c2 zenon_H1f4 zenon_H266 zenon_H1a0 zenon_H1c9 zenon_H2e zenon_H1dc zenon_H1d4 zenon_H187 zenon_H1a5 zenon_H1d8 zenon_H1cf zenon_H1e8 zenon_H176 zenon_H1c8 zenon_H1f3 zenon_H1f5 zenon_H64 zenon_H1fd zenon_H5c zenon_H210 zenon_H200 zenon_H1ee zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25 zenon_Hb2 zenon_H15c zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ].
% 83.55/83.77 apply (zenon_L43_); trivial.
% 83.55/83.77 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ].
% 83.55/83.77 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ].
% 83.55/83.78 apply (zenon_L43_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ].
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ].
% 83.55/83.78 apply (zenon_L11_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ].
% 83.55/83.78 apply (zenon_L20_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ].
% 83.55/83.78 apply (zenon_L22_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ].
% 83.55/83.78 apply (zenon_L11_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ].
% 83.55/83.78 apply (zenon_L171_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ].
% 83.55/83.78 apply (zenon_L136_); trivial.
% 83.55/83.78 apply (zenon_L138_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ].
% 83.55/83.78 apply (zenon_L139_); trivial.
% 83.55/83.78 apply (zenon_L140_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ].
% 83.55/83.78 apply (zenon_L46_); trivial.
% 83.55/83.78 apply (zenon_L31_); trivial.
% 83.55/83.78 (* end of lemma zenon_L172_ *)
% 83.55/83.78 assert (zenon_L173_ : (~((op1 (e10) (op1 (e11) (e12))) = (op1 (e10) (e13)))) -> ((op1 (e11) (e12)) = (e13)) -> False).
% 83.55/83.78 do 0 intro. intros zenon_H26a zenon_H1ab.
% 83.55/83.78 cut (((op1 (e11) (e12)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H251].
% 83.55/83.78 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H12].
% 83.55/83.78 congruence.
% 83.55/83.78 apply zenon_H12. apply refl_equal.
% 83.55/83.78 exact (zenon_H251 zenon_H1ab).
% 83.55/83.78 (* end of lemma zenon_L173_ *)
% 83.55/83.78 assert (zenon_L174_ : (~((op1 (e10) (op1 (e11) (e12))) = (e10))) -> ((op1 (e10) (e13)) = (e10)) -> ((op1 (e11) (e12)) = (e13)) -> False).
% 83.55/83.78 do 0 intro. intros zenon_H26b zenon_H42 zenon_H1ab.
% 83.55/83.78 cut (((op1 (e10) (e13)) = (e10)) = ((op1 (e10) (op1 (e11) (e12))) = (e10))).
% 83.55/83.78 intro zenon_D_pnotp.
% 83.55/83.78 apply zenon_H26b.
% 83.55/83.78 rewrite <- zenon_D_pnotp.
% 83.55/83.78 exact zenon_H42.
% 83.55/83.78 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H12].
% 83.55/83.78 cut (((op1 (e10) (e13)) = (op1 (e10) (op1 (e11) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H26c].
% 83.55/83.78 congruence.
% 83.55/83.78 elim (classic ((op1 (e10) (op1 (e11) (e12))) = (op1 (e10) (op1 (e11) (e12))))); [ zenon_intro zenon_H26d | zenon_intro zenon_H26e ].
% 83.55/83.78 cut (((op1 (e10) (op1 (e11) (e12))) = (op1 (e10) (op1 (e11) (e12)))) = ((op1 (e10) (e13)) = (op1 (e10) (op1 (e11) (e12))))).
% 83.55/83.78 intro zenon_D_pnotp.
% 83.55/83.78 apply zenon_H26c.
% 83.55/83.78 rewrite <- zenon_D_pnotp.
% 83.55/83.78 exact zenon_H26d.
% 83.55/83.78 cut (((op1 (e10) (op1 (e11) (e12))) = (op1 (e10) (op1 (e11) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H26e].
% 83.55/83.78 cut (((op1 (e10) (op1 (e11) (e12))) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H26a].
% 83.55/83.78 congruence.
% 83.55/83.78 apply (zenon_L173_); trivial.
% 83.55/83.78 apply zenon_H26e. apply refl_equal.
% 83.55/83.78 apply zenon_H26e. apply refl_equal.
% 83.55/83.78 apply zenon_H12. apply refl_equal.
% 83.55/83.78 (* end of lemma zenon_L174_ *)
% 83.55/83.78 assert (zenon_L175_ : (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((e11) = (e12))) -> ((op1 (e11) (e11)) = (e11)) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e11))) -> ((op1 (e13) (e10)) = (e11)) -> (~((e10) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e12) (e11)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e10) (op1 (e11) (e12))) = (e10))) -> ((op1 (e11) (e13)) = (e12)) -> (~((e12) = (e13))) -> False).
% 83.55/83.78 do 0 intro. intros zenon_H1b9 zenon_H16 zenon_H2e zenon_H17e zenon_H25d zenon_H1e4 zenon_H1b0 zenon_H163 zenon_H195 zenon_H3f zenon_H1a9 zenon_H1a5 zenon_H2c zenon_H1a0 zenon_H19a zenon_H1ad zenon_H53 zenon_H181 zenon_H18e zenon_H1b6 zenon_H229 zenon_H14 zenon_H17 zenon_H42 zenon_H26b zenon_H1e5 zenon_H25a.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H17a | zenon_intro zenon_H1bb ].
% 83.55/83.78 apply (zenon_L95_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H17f | zenon_intro zenon_H1bc ].
% 83.55/83.78 apply (zenon_L97_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H182 | zenon_intro zenon_H198 ].
% 83.55/83.78 apply (zenon_L98_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H1aa | zenon_intro zenon_H25e ].
% 83.55/83.78 apply (zenon_L158_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H228 | zenon_intro zenon_H25f ].
% 83.55/83.78 apply (zenon_L147_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H25f); [ zenon_intro zenon_H1ab | zenon_intro zenon_H259 ].
% 83.55/83.78 apply (zenon_L174_); trivial.
% 83.55/83.78 apply (zenon_L162_); trivial.
% 83.55/83.78 (* end of lemma zenon_L175_ *)
% 83.55/83.78 assert (zenon_L176_ : (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((e12) = (e13))) -> (~((op1 (e10) (op1 (e11) (e12))) = (e10))) -> ((op1 (e10) (e13)) = (e10)) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((e10) = (e11))) -> ((op1 (e12) (e11)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e10)) = (e11)) -> False).
% 83.55/83.78 do 0 intro. intros zenon_H1c9 zenon_H1e zenon_H25a zenon_H26b zenon_H42 zenon_H17 zenon_H14 zenon_H229 zenon_H1b6 zenon_H18e zenon_H53 zenon_H1ad zenon_H19a zenon_H1a0 zenon_H2c zenon_H1a5 zenon_H1a9 zenon_H3f zenon_H1b0 zenon_H1e4 zenon_H25d zenon_H2e zenon_H16 zenon_H1b9 zenon_H1dc zenon_H1d4 zenon_H187 zenon_H1d8 zenon_H1d9 zenon_H1cf zenon_H1e8 zenon_H163 zenon_H181 zenon_H1bf zenon_H195.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H34 | zenon_intro zenon_H1cc ].
% 83.55/83.78 apply (zenon_L9_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H17e | zenon_intro zenon_H1cd ].
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1ce | zenon_intro zenon_H1e9 ].
% 83.55/83.78 apply (zenon_L116_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H17f | zenon_intro zenon_H1ea ].
% 83.55/83.78 apply (zenon_L97_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1e5 ].
% 83.55/83.78 apply (zenon_L119_); trivial.
% 83.55/83.78 apply (zenon_L175_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H184 | zenon_intro zenon_H1c0 ].
% 83.55/83.78 apply (zenon_L99_); trivial.
% 83.55/83.78 apply (zenon_L113_); trivial.
% 83.55/83.78 (* end of lemma zenon_L176_ *)
% 83.55/83.78 assert (zenon_L177_ : ((op1 (e11) (e10)) = (e11)) -> ((op1 (e11) (e10)) = (e13)) -> (~((e11) = (e13))) -> False).
% 83.55/83.78 do 0 intro. intros zenon_H162 zenon_H1aa zenon_H1ee.
% 83.55/83.78 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H1ef | zenon_intro zenon_H1f0 ].
% 83.55/83.78 cut (((e13) = (e13)) = ((e11) = (e13))).
% 83.55/83.78 intro zenon_D_pnotp.
% 83.55/83.78 apply zenon_H1ee.
% 83.55/83.78 rewrite <- zenon_D_pnotp.
% 83.55/83.78 exact zenon_H1ef.
% 83.55/83.78 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H1f0].
% 83.55/83.78 cut (((e13) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H1f1].
% 83.55/83.78 congruence.
% 83.55/83.78 cut (((op1 (e11) (e10)) = (e11)) = ((e13) = (e11))).
% 83.55/83.78 intro zenon_D_pnotp.
% 83.55/83.78 apply zenon_H1f1.
% 83.55/83.78 rewrite <- zenon_D_pnotp.
% 83.55/83.78 exact zenon_H162.
% 83.55/83.78 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H165].
% 83.55/83.78 cut (((op1 (e11) (e10)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H216].
% 83.55/83.78 congruence.
% 83.55/83.78 exact (zenon_H216 zenon_H1aa).
% 83.55/83.78 apply zenon_H165. apply refl_equal.
% 83.55/83.78 apply zenon_H1f0. apply refl_equal.
% 83.55/83.78 apply zenon_H1f0. apply refl_equal.
% 83.55/83.78 (* end of lemma zenon_L177_ *)
% 83.55/83.78 assert (zenon_L178_ : (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e11) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((op1 (e12) (e10)) = (e10)) -> (~((e10) = (e13))) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 83.55/83.78 do 0 intro. intros zenon_H173 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H1ee zenon_H20d zenon_H1ff zenon_H200 zenon_H162 zenon_H16 zenon_H1f5 zenon_H1e zenon_H17 zenon_H14 zenon_H25.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H18 | zenon_intro zenon_H174 ].
% 83.55/83.78 apply (zenon_L3_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H169 | zenon_intro zenon_H175 ].
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H18 | zenon_intro zenon_H1f8 ].
% 83.55/83.78 apply (zenon_L3_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1f9 ].
% 83.55/83.78 apply (zenon_L177_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1d9 | zenon_intro zenon_H1ed ].
% 83.55/83.78 apply (zenon_L131_); trivial.
% 83.55/83.78 apply (zenon_L135_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H24 ].
% 83.55/83.78 apply (zenon_L4_); trivial.
% 83.55/83.78 apply (zenon_L5_); trivial.
% 83.55/83.78 (* end of lemma zenon_L178_ *)
% 83.55/83.78 assert (zenon_L179_ : ((op1 (e12) (e10)) = (e10)) -> ((op1 (e12) (e10)) = (e11)) -> (~((e10) = (e11))) -> False).
% 83.55/83.78 do 0 intro. intros zenon_H1ff zenon_H16c zenon_H163.
% 83.55/83.78 elim (classic ((e11) = (e11))); [ zenon_intro zenon_H164 | zenon_intro zenon_H165 ].
% 83.55/83.78 cut (((e11) = (e11)) = ((e10) = (e11))).
% 83.55/83.78 intro zenon_D_pnotp.
% 83.55/83.78 apply zenon_H163.
% 83.55/83.78 rewrite <- zenon_D_pnotp.
% 83.55/83.78 exact zenon_H164.
% 83.55/83.78 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H165].
% 83.55/83.78 cut (((e11) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H166].
% 83.55/83.78 congruence.
% 83.55/83.78 cut (((op1 (e12) (e10)) = (e10)) = ((e11) = (e10))).
% 83.55/83.78 intro zenon_D_pnotp.
% 83.55/83.78 apply zenon_H166.
% 83.55/83.78 rewrite <- zenon_D_pnotp.
% 83.55/83.78 exact zenon_H1ff.
% 83.55/83.78 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H12].
% 83.55/83.78 cut (((op1 (e12) (e10)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H26f].
% 83.55/83.78 congruence.
% 83.55/83.78 exact (zenon_H26f zenon_H16c).
% 83.55/83.78 apply zenon_H12. apply refl_equal.
% 83.55/83.78 apply zenon_H165. apply refl_equal.
% 83.55/83.78 apply zenon_H165. apply refl_equal.
% 83.55/83.78 (* end of lemma zenon_L179_ *)
% 83.55/83.78 assert (zenon_L180_ : ((op1 (e11) (e11)) = (e10)) -> ((op1 (e11) (e11)) = (e11)) -> (~((e10) = (e11))) -> False).
% 83.55/83.78 do 0 intro. intros zenon_H177 zenon_H17e zenon_H163.
% 83.55/83.78 elim (classic ((e11) = (e11))); [ zenon_intro zenon_H164 | zenon_intro zenon_H165 ].
% 83.55/83.78 cut (((e11) = (e11)) = ((e10) = (e11))).
% 83.55/83.78 intro zenon_D_pnotp.
% 83.55/83.78 apply zenon_H163.
% 83.55/83.78 rewrite <- zenon_D_pnotp.
% 83.55/83.78 exact zenon_H164.
% 83.55/83.78 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H165].
% 83.55/83.78 cut (((e11) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H166].
% 83.55/83.78 congruence.
% 83.55/83.78 cut (((op1 (e11) (e11)) = (e10)) = ((e11) = (e10))).
% 83.55/83.78 intro zenon_D_pnotp.
% 83.55/83.78 apply zenon_H166.
% 83.55/83.78 rewrite <- zenon_D_pnotp.
% 83.55/83.78 exact zenon_H177.
% 83.55/83.78 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H12].
% 83.55/83.78 cut (((op1 (e11) (e11)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H265].
% 83.55/83.78 congruence.
% 83.55/83.78 exact (zenon_H265 zenon_H17e).
% 83.55/83.78 apply zenon_H12. apply refl_equal.
% 83.55/83.78 apply zenon_H165. apply refl_equal.
% 83.55/83.78 apply zenon_H165. apply refl_equal.
% 83.55/83.78 (* end of lemma zenon_L180_ *)
% 83.55/83.78 assert (zenon_L181_ : (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> ((op1 (e11) (e12)) = (e10)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 83.55/83.78 do 0 intro. intros zenon_H1b0 zenon_H16b zenon_H20a zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H169 zenon_H1c2 zenon_H19b zenon_H19a zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H2c zenon_H17 zenon_H14 zenon_H25.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H194 | zenon_intro zenon_H1b1 ].
% 83.55/83.78 apply (zenon_L137_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H197 | zenon_intro zenon_H1b2 ].
% 83.55/83.78 apply (zenon_L114_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H19c | zenon_intro zenon_H54 ].
% 83.55/83.78 apply (zenon_L104_); trivial.
% 83.55/83.78 apply (zenon_L19_); trivial.
% 83.55/83.78 (* end of lemma zenon_L181_ *)
% 83.55/83.78 assert (zenon_L182_ : (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e12) (e12)) = (e10)) -> False).
% 83.55/83.78 do 0 intro. intros zenon_H1d8 zenon_H1ff zenon_H1d5.
% 83.55/83.78 cut (((op1 (e12) (e10)) = (e10)) = ((op1 (e12) (e10)) = (op1 (e12) (e12)))).
% 83.55/83.78 intro zenon_D_pnotp.
% 83.55/83.78 apply zenon_H1d8.
% 83.55/83.78 rewrite <- zenon_D_pnotp.
% 83.55/83.78 exact zenon_H1ff.
% 83.55/83.78 cut (((e10) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1d6].
% 83.55/83.78 cut (((op1 (e12) (e10)) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H190].
% 83.55/83.78 congruence.
% 83.55/83.78 apply zenon_H190. apply refl_equal.
% 83.55/83.78 apply zenon_H1d6. apply sym_equal. exact zenon_H1d5.
% 83.55/83.78 (* end of lemma zenon_L182_ *)
% 83.55/83.78 assert (zenon_L183_ : ((op1 (e12) (e11)) = (op1 (e11) (e12))) -> ((op1 (e12) (e11)) = (e11)) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e11) (op1 (e11) (e12))) = (e11))) -> False).
% 83.55/83.78 do 0 intro. intros zenon_H270 zenon_H184 zenon_H1a6 zenon_H271.
% 83.55/83.78 elim (classic ((e11) = (e11))); [ zenon_intro zenon_H164 | zenon_intro zenon_H165 ].
% 83.55/83.78 cut (((e11) = (e11)) = ((op1 (e11) (op1 (e11) (e12))) = (e11))).
% 83.55/83.78 intro zenon_D_pnotp.
% 83.55/83.78 apply zenon_H271.
% 83.55/83.78 rewrite <- zenon_D_pnotp.
% 83.55/83.78 exact zenon_H164.
% 83.55/83.78 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H165].
% 83.55/83.78 cut (((e11) = (op1 (e11) (op1 (e11) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H272].
% 83.55/83.78 congruence.
% 83.55/83.78 cut (((op1 (e12) (e11)) = (op1 (e11) (e12))) = ((e11) = (op1 (e11) (op1 (e11) (e12))))).
% 83.55/83.78 intro zenon_D_pnotp.
% 83.55/83.78 apply zenon_H272.
% 83.55/83.78 rewrite <- zenon_D_pnotp.
% 83.55/83.78 exact zenon_H270.
% 83.55/83.78 cut (((op1 (e11) (e12)) = (op1 (e11) (op1 (e11) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H273].
% 83.55/83.78 cut (((op1 (e12) (e11)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H185].
% 83.55/83.78 congruence.
% 83.55/83.78 exact (zenon_H185 zenon_H184).
% 83.55/83.78 cut (((e12) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H274].
% 83.55/83.78 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H165].
% 83.55/83.78 congruence.
% 83.55/83.78 apply zenon_H165. apply refl_equal.
% 83.55/83.78 apply zenon_H274. apply sym_equal. exact zenon_H1a6.
% 83.55/83.78 apply zenon_H165. apply refl_equal.
% 83.55/83.78 apply zenon_H165. apply refl_equal.
% 83.55/83.78 (* end of lemma zenon_L183_ *)
% 83.55/83.78 assert (zenon_L184_ : (((op1 (e12) (e11)) = (op1 (e11) (e12)))/\((~((op1 (e10) (op1 (e11) (e12))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e11)))/\((~((op1 (e12) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e11) (e12))) = (e13))))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 83.55/83.78 do 0 intro. intros zenon_H275 zenon_H61 zenon_H220 zenon_H25a zenon_H229 zenon_H1e4 zenon_H25d zenon_H1dc zenon_H1d4 zenon_H1cf zenon_H1e8 zenon_H1f5 zenon_H45 zenon_H1b0 zenon_H1c2 zenon_H19a zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H1c9 zenon_H1a0 zenon_H1ad zenon_H1d8 zenon_H256 zenon_H1c8 zenon_H50 zenon_H56 zenon_H176 zenon_H1b9 zenon_H1ba zenon_H16d zenon_H187 zenon_H1b6 zenon_H18e zenon_H1a5 zenon_H1a9 zenon_H3f zenon_H2e zenon_H276 zenon_H200 zenon_H1ee zenon_H1f3 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25.
% 83.55/83.78 apply (zenon_and_s _ _ zenon_H275). zenon_intro zenon_H270. zenon_intro zenon_H277.
% 83.55/83.78 apply (zenon_and_s _ _ zenon_H277). zenon_intro zenon_H26b. zenon_intro zenon_H278.
% 83.55/83.78 apply (zenon_and_s _ _ zenon_H278). zenon_intro zenon_H271. zenon_intro zenon_H279.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ].
% 83.55/83.78 apply (zenon_L11_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ].
% 83.55/83.78 apply (zenon_L20_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ].
% 83.55/83.78 apply (zenon_L22_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ].
% 83.55/83.78 apply (zenon_L11_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ].
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H2d | zenon_intro zenon_H1f6 ].
% 83.55/83.78 apply (zenon_L7_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H162 | zenon_intro zenon_H1f7 ].
% 83.55/83.78 apply (zenon_L90_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H16c | zenon_intro zenon_H195 ].
% 83.55/83.78 apply (zenon_L93_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H18 | zenon_intro zenon_H174 ].
% 83.55/83.78 apply (zenon_L3_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H169 | zenon_intro zenon_H175 ].
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H18 | zenon_intro zenon_H1f8 ].
% 83.55/83.78 apply (zenon_L3_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1f9 ].
% 83.55/83.78 apply (zenon_L115_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1d9 | zenon_intro zenon_H1ed ].
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H43 | zenon_intro zenon_H1ca ].
% 83.55/83.78 apply (zenon_L12_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H177 | zenon_intro zenon_H1cb ].
% 83.55/83.78 apply (zenon_L94_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H181 | zenon_intro zenon_H197 ].
% 83.55/83.78 apply (zenon_L176_); trivial.
% 83.55/83.78 apply (zenon_L114_); trivial.
% 83.55/83.78 apply (zenon_L128_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H24 ].
% 83.55/83.78 apply (zenon_L4_); trivial.
% 83.55/83.78 apply (zenon_L5_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ].
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H2d | zenon_intro zenon_H1f6 ].
% 83.55/83.78 apply (zenon_L7_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H162 | zenon_intro zenon_H1f7 ].
% 83.55/83.78 apply (zenon_L178_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H16c | zenon_intro zenon_H195 ].
% 83.55/83.78 apply (zenon_L179_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H18 | zenon_intro zenon_H174 ].
% 83.55/83.78 apply (zenon_L3_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H169 | zenon_intro zenon_H175 ].
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H18 | zenon_intro zenon_H1f8 ].
% 83.55/83.78 apply (zenon_L3_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1f9 ].
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_H161 | zenon_intro zenon_H27a ].
% 83.55/83.78 apply (zenon_L115_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H27a); [ zenon_intro zenon_H177 | zenon_intro zenon_H27b ].
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H34 | zenon_intro zenon_H1cc ].
% 83.55/83.78 apply (zenon_L9_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H17e | zenon_intro zenon_H1cd ].
% 83.55/83.78 apply (zenon_L180_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H184 | zenon_intro zenon_H1c0 ].
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H59 | zenon_intro zenon_H257 ].
% 83.55/83.78 apply (zenon_L21_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H19b | zenon_intro zenon_H258 ].
% 83.55/83.78 apply (zenon_L181_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H19c ].
% 83.55/83.78 apply (zenon_L182_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1ad); [ zenon_intro zenon_H19b | zenon_intro zenon_H1ae ].
% 83.55/83.78 apply (zenon_L104_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H19f | zenon_intro zenon_H1af ].
% 83.55/83.78 apply (zenon_L105_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1ab ].
% 83.55/83.78 apply (zenon_L183_); trivial.
% 83.55/83.78 apply (zenon_L174_); trivial.
% 83.55/83.78 apply (zenon_L132_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H27b); [ zenon_intro zenon_H19b | zenon_intro zenon_H46 ].
% 83.55/83.78 apply (zenon_L181_); trivial.
% 83.55/83.78 apply (zenon_L13_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1d9 | zenon_intro zenon_H1ed ].
% 83.55/83.78 apply (zenon_L131_); trivial.
% 83.55/83.78 apply (zenon_L135_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H24 ].
% 83.55/83.78 apply (zenon_L4_); trivial.
% 83.55/83.78 apply (zenon_L5_); trivial.
% 83.55/83.78 apply (zenon_L138_); trivial.
% 83.55/83.78 (* end of lemma zenon_L184_ *)
% 83.55/83.78 assert (zenon_L185_ : (~((op1 (e12) (op1 (e11) (e13))) = (op1 (e12) (e12)))) -> ((op1 (e11) (e13)) = (e12)) -> False).
% 83.55/83.78 do 0 intro. intros zenon_H27c zenon_H1e5.
% 83.55/83.78 cut (((op1 (e11) (e13)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H1ec].
% 83.55/83.78 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2b].
% 83.55/83.78 congruence.
% 83.55/83.78 apply zenon_H2b. apply refl_equal.
% 83.55/83.78 exact (zenon_H1ec zenon_H1e5).
% 83.55/83.78 (* end of lemma zenon_L185_ *)
% 83.55/83.78 assert (zenon_L186_ : (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((e12) = (op1 (e10) (e10))) -> (~((e10) = (e12))) -> ((op1 (e12) (e11)) = (e10)) -> (~((op1 (e12) (op1 (e11) (e13))) = (e12))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e13)) = (e12)) -> False).
% 83.55/83.78 do 0 intro. intros zenon_H1b6 zenon_H18e zenon_H2c zenon_H3f zenon_H181 zenon_H27d zenon_H1e4 zenon_H1e5.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H18d | zenon_intro zenon_H1b7 ].
% 83.55/83.78 apply (zenon_L101_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H182 | zenon_intro zenon_H1b8 ].
% 83.55/83.78 apply (zenon_L98_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1b4 ].
% 83.55/83.78 cut (((op1 (e12) (e12)) = (e12)) = ((op1 (e12) (op1 (e11) (e13))) = (e12))).
% 83.55/83.78 intro zenon_D_pnotp.
% 83.55/83.78 apply zenon_H27d.
% 83.55/83.78 rewrite <- zenon_D_pnotp.
% 83.55/83.78 exact zenon_H1a7.
% 83.55/83.78 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2b].
% 83.55/83.78 cut (((op1 (e12) (e12)) = (op1 (e12) (op1 (e11) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H27e].
% 83.55/83.78 congruence.
% 83.55/83.78 elim (classic ((op1 (e12) (op1 (e11) (e13))) = (op1 (e12) (op1 (e11) (e13))))); [ zenon_intro zenon_H27f | zenon_intro zenon_H280 ].
% 83.55/83.78 cut (((op1 (e12) (op1 (e11) (e13))) = (op1 (e12) (op1 (e11) (e13)))) = ((op1 (e12) (e12)) = (op1 (e12) (op1 (e11) (e13))))).
% 83.55/83.78 intro zenon_D_pnotp.
% 83.55/83.78 apply zenon_H27e.
% 83.55/83.78 rewrite <- zenon_D_pnotp.
% 83.55/83.78 exact zenon_H27f.
% 83.55/83.78 cut (((op1 (e12) (op1 (e11) (e13))) = (op1 (e12) (op1 (e11) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H280].
% 83.55/83.78 cut (((op1 (e12) (op1 (e11) (e13))) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H27c].
% 83.55/83.78 congruence.
% 83.55/83.78 apply (zenon_L185_); trivial.
% 83.55/83.78 apply zenon_H280. apply refl_equal.
% 83.55/83.78 apply zenon_H280. apply refl_equal.
% 83.55/83.78 apply zenon_H2b. apply refl_equal.
% 83.55/83.78 apply (zenon_L122_); trivial.
% 83.55/83.78 (* end of lemma zenon_L186_ *)
% 83.55/83.78 assert (zenon_L187_ : (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((e11) = (e12))) -> ((op1 (e11) (e11)) = (e11)) -> ((op1 (e12) (e10)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((e12) = (op1 (e10) (e10))) -> (~((e10) = (e12))) -> ((op1 (e12) (e11)) = (e10)) -> (~((op1 (e12) (op1 (e11) (e13))) = (e12))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> False).
% 83.55/83.78 do 0 intro. intros zenon_H1e8 zenon_H1cf zenon_H2e zenon_H17e zenon_H1d9 zenon_H1d8 zenon_H1a5 zenon_H14 zenon_H187 zenon_H1d4 zenon_H1dc zenon_H1b6 zenon_H18e zenon_H2c zenon_H3f zenon_H181 zenon_H27d zenon_H1e4.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1ce | zenon_intro zenon_H1e9 ].
% 83.55/83.78 apply (zenon_L116_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H17f | zenon_intro zenon_H1ea ].
% 83.55/83.78 apply (zenon_L97_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1e5 ].
% 83.55/83.78 apply (zenon_L119_); trivial.
% 83.55/83.78 apply (zenon_L186_); trivial.
% 83.55/83.78 (* end of lemma zenon_L187_ *)
% 83.55/83.78 assert (zenon_L188_ : (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (op1 (e11) (e13))) = (e12))) -> (~((e10) = (e12))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e10)) = (e13)) -> (~((e11) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((e10) = (e11))) -> ((op1 (e12) (e11)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e10)) = (e11)) -> False).
% 83.55/83.78 do 0 intro. intros zenon_H1c9 zenon_H1e zenon_H1e4 zenon_H27d zenon_H3f zenon_H2c zenon_H18e zenon_H1b6 zenon_H1dc zenon_H1d4 zenon_H187 zenon_H14 zenon_H1a5 zenon_H1d8 zenon_H1d9 zenon_H2e zenon_H1cf zenon_H1e8 zenon_H163 zenon_H181 zenon_H1bf zenon_H195.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H34 | zenon_intro zenon_H1cc ].
% 83.55/83.78 apply (zenon_L9_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H17e | zenon_intro zenon_H1cd ].
% 83.55/83.78 apply (zenon_L187_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H184 | zenon_intro zenon_H1c0 ].
% 83.55/83.78 apply (zenon_L99_); trivial.
% 83.55/83.78 apply (zenon_L113_); trivial.
% 83.55/83.78 (* end of lemma zenon_L188_ *)
% 83.55/83.78 assert (zenon_L189_ : (((op1 (e13) (e11)) = (op1 (e11) (e13)))/\((~((op1 (e10) (op1 (e11) (e13))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e13))) = (e11)))/\((~((op1 (e12) (op1 (e11) (e13))) = (e12)))/\(~((op1 (e13) (op1 (e11) (e13))) = (e13))))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 83.55/83.78 do 0 intro. intros zenon_H281 zenon_H61 zenon_H220 zenon_H1e4 zenon_H1dc zenon_H1d4 zenon_H1d8 zenon_H1cf zenon_H1e8 zenon_H1f5 zenon_H49 zenon_H3a zenon_H45 zenon_H4d zenon_H1b0 zenon_H1c2 zenon_H19a zenon_H53 zenon_H1f4 zenon_H1a0 zenon_H1c9 zenon_H282 zenon_H1c8 zenon_H50 zenon_H56 zenon_H176 zenon_H1b9 zenon_H1ba zenon_H16d zenon_H187 zenon_H1b6 zenon_H18e zenon_H1ad zenon_H1a5 zenon_H1a9 zenon_H3f zenon_H2e zenon_H276 zenon_H200 zenon_H1ee zenon_H1f3 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25.
% 83.55/83.78 apply (zenon_and_s _ _ zenon_H281). zenon_intro zenon_H284. zenon_intro zenon_H283.
% 83.55/83.78 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H286. zenon_intro zenon_H285.
% 83.55/83.78 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H288. zenon_intro zenon_H287.
% 83.55/83.78 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_H27d. zenon_intro zenon_H289.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ].
% 83.55/83.78 apply (zenon_L11_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ].
% 83.55/83.78 apply (zenon_L20_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ].
% 83.55/83.78 apply (zenon_L22_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ].
% 83.55/83.78 apply (zenon_L11_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ].
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H2d | zenon_intro zenon_H1f6 ].
% 83.55/83.78 apply (zenon_L7_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H162 | zenon_intro zenon_H1f7 ].
% 83.55/83.78 apply (zenon_L90_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H16c | zenon_intro zenon_H195 ].
% 83.55/83.78 apply (zenon_L93_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H18 | zenon_intro zenon_H174 ].
% 83.55/83.78 apply (zenon_L3_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H169 | zenon_intro zenon_H175 ].
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H18 | zenon_intro zenon_H1f8 ].
% 83.55/83.78 apply (zenon_L3_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1f9 ].
% 83.55/83.78 apply (zenon_L115_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1d9 | zenon_intro zenon_H1ed ].
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H43 | zenon_intro zenon_H1ca ].
% 83.55/83.78 apply (zenon_L12_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H177 | zenon_intro zenon_H1cb ].
% 83.55/83.78 apply (zenon_L94_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H181 | zenon_intro zenon_H197 ].
% 83.55/83.78 apply (zenon_L188_); trivial.
% 83.55/83.78 apply (zenon_L114_); trivial.
% 83.55/83.78 apply (zenon_L128_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H24 ].
% 83.55/83.78 apply (zenon_L4_); trivial.
% 83.55/83.78 apply (zenon_L5_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ].
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H2d | zenon_intro zenon_H1f6 ].
% 83.55/83.78 apply (zenon_L7_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H162 | zenon_intro zenon_H1f7 ].
% 83.55/83.78 apply (zenon_L178_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H16c | zenon_intro zenon_H195 ].
% 83.55/83.78 apply (zenon_L179_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H18 | zenon_intro zenon_H174 ].
% 83.55/83.78 apply (zenon_L3_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H169 | zenon_intro zenon_H175 ].
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H18 | zenon_intro zenon_H1f8 ].
% 83.55/83.78 apply (zenon_L3_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1f9 ].
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_H161 | zenon_intro zenon_H27a ].
% 83.55/83.78 apply (zenon_L115_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H27a); [ zenon_intro zenon_H177 | zenon_intro zenon_H27b ].
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H162 | zenon_intro zenon_H1fa ].
% 83.55/83.78 apply (zenon_L177_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H17e | zenon_intro zenon_H1fb ].
% 83.55/83.78 apply (zenon_L180_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H19f | zenon_intro zenon_H1eb ].
% 83.55/83.78 apply (zenon_L105_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H34 | zenon_intro zenon_H1cc ].
% 83.55/83.78 apply (zenon_L9_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H17e | zenon_intro zenon_H1cd ].
% 83.55/83.78 apply (zenon_L180_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H184 | zenon_intro zenon_H1c0 ].
% 83.55/83.78 elim (classic ((op1 (e13) (e11)) = (op1 (e13) (e11)))); [ zenon_intro zenon_H237 | zenon_intro zenon_H238 ].
% 83.55/83.78 cut (((op1 (e13) (e11)) = (op1 (e13) (e11))) = ((op1 (e12) (e11)) = (op1 (e13) (e11)))).
% 83.55/83.78 intro zenon_D_pnotp.
% 83.55/83.78 apply zenon_H282.
% 83.55/83.78 rewrite <- zenon_D_pnotp.
% 83.55/83.78 exact zenon_H237.
% 83.55/83.78 cut (((op1 (e13) (e11)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H238].
% 83.55/83.78 cut (((op1 (e13) (e11)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H28a].
% 83.55/83.78 congruence.
% 83.55/83.78 cut (((op1 (e11) (e13)) = (e11)) = ((op1 (e13) (e11)) = (op1 (e12) (e11)))).
% 83.55/83.78 intro zenon_D_pnotp.
% 83.55/83.78 apply zenon_H28a.
% 83.55/83.78 rewrite <- zenon_D_pnotp.
% 83.55/83.78 exact zenon_H1eb.
% 83.55/83.78 cut (((e11) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H28b].
% 83.55/83.78 cut (((op1 (e11) (e13)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H28c].
% 83.55/83.78 congruence.
% 83.55/83.78 elim (classic ((op1 (e13) (e11)) = (op1 (e13) (e11)))); [ zenon_intro zenon_H237 | zenon_intro zenon_H238 ].
% 83.55/83.78 cut (((op1 (e13) (e11)) = (op1 (e13) (e11))) = ((op1 (e11) (e13)) = (op1 (e13) (e11)))).
% 83.55/83.78 intro zenon_D_pnotp.
% 83.55/83.78 apply zenon_H28c.
% 83.55/83.78 rewrite <- zenon_D_pnotp.
% 83.55/83.78 exact zenon_H237.
% 83.55/83.78 cut (((op1 (e13) (e11)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H238].
% 83.55/83.78 cut (((op1 (e13) (e11)) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H28d].
% 83.55/83.78 congruence.
% 83.55/83.78 exact (zenon_H28d zenon_H284).
% 83.55/83.78 apply zenon_H238. apply refl_equal.
% 83.55/83.78 apply zenon_H238. apply refl_equal.
% 83.55/83.78 apply zenon_H28b. apply sym_equal. exact zenon_H184.
% 83.55/83.78 apply zenon_H238. apply refl_equal.
% 83.55/83.78 apply zenon_H238. apply refl_equal.
% 83.55/83.78 apply (zenon_L113_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H27b); [ zenon_intro zenon_H19b | zenon_intro zenon_H46 ].
% 83.55/83.78 apply (zenon_L181_); trivial.
% 83.55/83.78 apply (zenon_L15_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1d9 | zenon_intro zenon_H1ed ].
% 83.55/83.78 apply (zenon_L131_); trivial.
% 83.55/83.78 apply (zenon_L135_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H24 ].
% 83.55/83.78 apply (zenon_L4_); trivial.
% 83.55/83.78 apply (zenon_L5_); trivial.
% 83.55/83.78 apply (zenon_L138_); trivial.
% 83.55/83.78 (* end of lemma zenon_L189_ *)
% 83.55/83.78 assert (zenon_L190_ : (~((op1 (e10) (op1 (e12) (e10))) = (op1 (e10) (e13)))) -> ((op1 (e12) (e10)) = (e13)) -> False).
% 83.55/83.78 do 0 intro. intros zenon_H28e zenon_H1d9.
% 83.55/83.78 cut (((op1 (e12) (e10)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H202].
% 83.55/83.78 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H12].
% 83.55/83.78 congruence.
% 83.55/83.78 apply zenon_H12. apply refl_equal.
% 83.55/83.78 exact (zenon_H202 zenon_H1d9).
% 83.55/83.78 (* end of lemma zenon_L190_ *)
% 83.55/83.78 assert (zenon_L191_ : (~((op1 (e10) (op1 (e12) (e10))) = (e10))) -> ((op1 (e10) (e13)) = (e10)) -> ((op1 (e12) (e10)) = (e13)) -> False).
% 83.55/83.78 do 0 intro. intros zenon_H28f zenon_H42 zenon_H1d9.
% 83.55/83.78 cut (((op1 (e10) (e13)) = (e10)) = ((op1 (e10) (op1 (e12) (e10))) = (e10))).
% 83.55/83.78 intro zenon_D_pnotp.
% 83.55/83.78 apply zenon_H28f.
% 83.55/83.78 rewrite <- zenon_D_pnotp.
% 83.55/83.78 exact zenon_H42.
% 83.55/83.78 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H12].
% 83.55/83.78 cut (((op1 (e10) (e13)) = (op1 (e10) (op1 (e12) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H290].
% 83.55/83.78 congruence.
% 83.55/83.78 elim (classic ((op1 (e10) (op1 (e12) (e10))) = (op1 (e10) (op1 (e12) (e10))))); [ zenon_intro zenon_H291 | zenon_intro zenon_H292 ].
% 83.55/83.78 cut (((op1 (e10) (op1 (e12) (e10))) = (op1 (e10) (op1 (e12) (e10)))) = ((op1 (e10) (e13)) = (op1 (e10) (op1 (e12) (e10))))).
% 83.55/83.78 intro zenon_D_pnotp.
% 83.55/83.78 apply zenon_H290.
% 83.55/83.78 rewrite <- zenon_D_pnotp.
% 83.55/83.78 exact zenon_H291.
% 83.55/83.78 cut (((op1 (e10) (op1 (e12) (e10))) = (op1 (e10) (op1 (e12) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H292].
% 83.55/83.78 cut (((op1 (e10) (op1 (e12) (e10))) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H28e].
% 83.55/83.78 congruence.
% 83.55/83.78 apply (zenon_L190_); trivial.
% 83.55/83.78 apply zenon_H292. apply refl_equal.
% 83.55/83.78 apply zenon_H292. apply refl_equal.
% 83.55/83.78 apply zenon_H12. apply refl_equal.
% 83.55/83.78 (* end of lemma zenon_L191_ *)
% 83.55/83.78 assert (zenon_L192_ : (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e10) (e12)) = (op1 (e12) (e10))) -> ((op1 (e13) (e12)) = (e10)) -> False).
% 83.55/83.78 do 0 intro. intros zenon_H204 zenon_H1ff zenon_H293 zenon_H19c.
% 83.55/83.78 cut (((op1 (e12) (e10)) = (e10)) = ((op1 (e10) (e12)) = (op1 (e13) (e12)))).
% 83.55/83.78 intro zenon_D_pnotp.
% 83.55/83.78 apply zenon_H204.
% 83.55/83.78 rewrite <- zenon_D_pnotp.
% 83.55/83.78 exact zenon_H1ff.
% 83.55/83.78 cut (((e10) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H19d].
% 83.55/83.78 cut (((op1 (e12) (e10)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H248].
% 83.55/83.78 congruence.
% 83.55/83.78 elim (classic ((op1 (e10) (e12)) = (op1 (e10) (e12)))); [ zenon_intro zenon_H1f | zenon_intro zenon_H20 ].
% 83.55/83.78 cut (((op1 (e10) (e12)) = (op1 (e10) (e12))) = ((op1 (e12) (e10)) = (op1 (e10) (e12)))).
% 83.55/83.78 intro zenon_D_pnotp.
% 83.55/83.78 apply zenon_H248.
% 83.55/83.78 rewrite <- zenon_D_pnotp.
% 83.55/83.78 exact zenon_H1f.
% 83.55/83.78 cut (((op1 (e10) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H20].
% 83.55/83.78 cut (((op1 (e10) (e12)) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H247].
% 83.55/83.78 congruence.
% 83.55/83.78 exact (zenon_H247 zenon_H293).
% 83.55/83.78 apply zenon_H20. apply refl_equal.
% 83.55/83.78 apply zenon_H20. apply refl_equal.
% 83.55/83.78 apply zenon_H19d. apply sym_equal. exact zenon_H19c.
% 83.55/83.78 (* end of lemma zenon_L192_ *)
% 83.55/83.78 assert (zenon_L193_ : (((op1 (e10) (e12)) = (op1 (e12) (e10)))/\((~((op1 (e10) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e12) (e10))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e10))) = (e12)))/\(~((op1 (e13) (op1 (e12) (e10))) = (e13))))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 83.55/83.78 do 0 intro. intros zenon_H294 zenon_H61 zenon_H220 zenon_H1f5 zenon_H1c9 zenon_H2e zenon_H3f zenon_H1a9 zenon_H1a5 zenon_H1a0 zenon_H1ad zenon_H18e zenon_H1b6 zenon_H187 zenon_H16d zenon_H1ba zenon_H1b9 zenon_H176 zenon_H1c8 zenon_H1ee zenon_H1f3 zenon_H256 zenon_H50 zenon_H45 zenon_H56 zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H19a zenon_H1c2 zenon_H1b0 zenon_H1d8 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25.
% 83.55/83.78 apply (zenon_and_s _ _ zenon_H294). zenon_intro zenon_H293. zenon_intro zenon_H295.
% 83.55/83.78 apply (zenon_and_s _ _ zenon_H295). zenon_intro zenon_H28f. zenon_intro zenon_H296.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ].
% 83.55/83.78 apply (zenon_L11_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ].
% 83.55/83.78 apply (zenon_L20_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ].
% 83.55/83.78 apply (zenon_L22_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ].
% 83.55/83.78 apply (zenon_L11_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ].
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H2d | zenon_intro zenon_H1f6 ].
% 83.55/83.78 apply (zenon_L7_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H162 | zenon_intro zenon_H1f7 ].
% 83.55/83.78 apply (zenon_L90_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H16c | zenon_intro zenon_H195 ].
% 83.55/83.78 apply (zenon_L93_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H18 | zenon_intro zenon_H174 ].
% 83.55/83.78 apply (zenon_L3_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H169 | zenon_intro zenon_H175 ].
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H18 | zenon_intro zenon_H1f8 ].
% 83.55/83.78 apply (zenon_L3_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1f9 ].
% 83.55/83.78 apply (zenon_L115_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1d9 | zenon_intro zenon_H1ed ].
% 83.55/83.78 apply (zenon_L191_); trivial.
% 83.55/83.78 apply (zenon_L135_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H24 ].
% 83.55/83.78 apply (zenon_L4_); trivial.
% 83.55/83.78 apply (zenon_L5_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ].
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H18 | zenon_intro zenon_H174 ].
% 83.55/83.78 apply (zenon_L3_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H169 | zenon_intro zenon_H175 ].
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H59 | zenon_intro zenon_H257 ].
% 83.55/83.78 apply (zenon_L22_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H19b | zenon_intro zenon_H258 ].
% 83.55/83.78 apply (zenon_L181_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H19c ].
% 83.55/83.78 apply (zenon_L182_); trivial.
% 83.55/83.78 apply (zenon_L192_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H24 ].
% 83.55/83.78 apply (zenon_L4_); trivial.
% 83.55/83.78 apply (zenon_L5_); trivial.
% 83.55/83.78 apply (zenon_L138_); trivial.
% 83.55/83.78 (* end of lemma zenon_L193_ *)
% 83.55/83.78 assert (zenon_L194_ : (~((op1 (e11) (op1 (e12) (e11))) = (op1 (e11) (e10)))) -> ((op1 (e12) (e11)) = (e10)) -> False).
% 83.55/83.78 do 0 intro. intros zenon_H297 zenon_H181.
% 83.55/83.78 cut (((op1 (e12) (e11)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H298].
% 83.55/83.78 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H165].
% 83.55/83.78 congruence.
% 83.55/83.78 apply zenon_H165. apply refl_equal.
% 83.55/83.78 exact (zenon_H298 zenon_H181).
% 83.55/83.78 (* end of lemma zenon_L194_ *)
% 83.55/83.78 assert (zenon_L195_ : (~((op1 (e11) (op1 (e12) (e11))) = (e11))) -> ((op1 (e11) (e10)) = (e11)) -> ((op1 (e12) (e11)) = (e10)) -> False).
% 83.55/83.78 do 0 intro. intros zenon_H299 zenon_H162 zenon_H181.
% 83.55/83.78 cut (((op1 (e11) (e10)) = (e11)) = ((op1 (e11) (op1 (e12) (e11))) = (e11))).
% 83.55/83.78 intro zenon_D_pnotp.
% 83.55/83.78 apply zenon_H299.
% 83.55/83.78 rewrite <- zenon_D_pnotp.
% 83.55/83.78 exact zenon_H162.
% 83.55/83.78 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H165].
% 83.55/83.78 cut (((op1 (e11) (e10)) = (op1 (e11) (op1 (e12) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H29a].
% 83.55/83.78 congruence.
% 83.55/83.78 elim (classic ((op1 (e11) (op1 (e12) (e11))) = (op1 (e11) (op1 (e12) (e11))))); [ zenon_intro zenon_H29b | zenon_intro zenon_H29c ].
% 83.55/83.78 cut (((op1 (e11) (op1 (e12) (e11))) = (op1 (e11) (op1 (e12) (e11)))) = ((op1 (e11) (e10)) = (op1 (e11) (op1 (e12) (e11))))).
% 83.55/83.78 intro zenon_D_pnotp.
% 83.55/83.78 apply zenon_H29a.
% 83.55/83.78 rewrite <- zenon_D_pnotp.
% 83.55/83.78 exact zenon_H29b.
% 83.55/83.78 cut (((op1 (e11) (op1 (e12) (e11))) = (op1 (e11) (op1 (e12) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H29c].
% 83.55/83.78 cut (((op1 (e11) (op1 (e12) (e11))) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H297].
% 83.55/83.78 congruence.
% 83.55/83.78 apply (zenon_L194_); trivial.
% 83.55/83.78 apply zenon_H29c. apply refl_equal.
% 83.55/83.78 apply zenon_H29c. apply refl_equal.
% 83.55/83.78 apply zenon_H165. apply refl_equal.
% 83.55/83.78 (* end of lemma zenon_L195_ *)
% 83.55/83.78 assert (zenon_L196_ : (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e11)) = (e10)) -> ((op1 (e11) (e12)) = (op1 (e12) (e11))) -> ((op1 (e13) (e12)) = (e10)) -> False).
% 83.55/83.78 do 0 intro. intros zenon_H19a zenon_H181 zenon_H29d zenon_H19c.
% 83.55/83.78 cut (((op1 (e12) (e11)) = (e10)) = ((op1 (e11) (e12)) = (op1 (e13) (e12)))).
% 83.55/83.78 intro zenon_D_pnotp.
% 83.55/83.78 apply zenon_H19a.
% 83.55/83.78 rewrite <- zenon_D_pnotp.
% 83.55/83.78 exact zenon_H181.
% 83.55/83.78 cut (((e10) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H19d].
% 83.55/83.78 cut (((op1 (e12) (e11)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H29e].
% 83.55/83.78 congruence.
% 83.55/83.78 elim (classic ((op1 (e11) (e12)) = (op1 (e11) (e12)))); [ zenon_intro zenon_H1a1 | zenon_intro zenon_H19e ].
% 83.55/83.78 cut (((op1 (e11) (e12)) = (op1 (e11) (e12))) = ((op1 (e12) (e11)) = (op1 (e11) (e12)))).
% 83.55/83.78 intro zenon_D_pnotp.
% 83.55/83.78 apply zenon_H29e.
% 83.55/83.78 rewrite <- zenon_D_pnotp.
% 83.55/83.78 exact zenon_H1a1.
% 83.55/83.78 cut (((op1 (e11) (e12)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H19e].
% 83.55/83.78 cut (((op1 (e11) (e12)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H29f].
% 83.55/83.78 congruence.
% 83.55/83.78 exact (zenon_H29f zenon_H29d).
% 83.55/83.78 apply zenon_H19e. apply refl_equal.
% 83.55/83.78 apply zenon_H19e. apply refl_equal.
% 83.55/83.78 apply zenon_H19d. apply sym_equal. exact zenon_H19c.
% 83.55/83.78 (* end of lemma zenon_L196_ *)
% 83.55/83.78 assert (zenon_L197_ : ((op1 (e11) (e12)) = (op1 (e12) (e11))) -> ((op1 (e11) (e12)) = (e12)) -> ((op1 (e12) (e11)) = (e11)) -> (~((op1 (e12) (op1 (e12) (e11))) = (e12))) -> False).
% 83.55/83.78 do 0 intro. intros zenon_H29d zenon_H1a6 zenon_H184 zenon_H2a0.
% 83.55/83.78 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H2f | zenon_intro zenon_H2b ].
% 83.55/83.78 cut (((e12) = (e12)) = ((op1 (e12) (op1 (e12) (e11))) = (e12))).
% 83.55/83.78 intro zenon_D_pnotp.
% 83.55/83.78 apply zenon_H2a0.
% 83.55/83.78 rewrite <- zenon_D_pnotp.
% 83.55/83.78 exact zenon_H2f.
% 83.55/83.78 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2b].
% 83.55/83.78 cut (((e12) = (op1 (e12) (op1 (e12) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H2a1].
% 83.55/83.78 congruence.
% 83.55/83.78 cut (((op1 (e11) (e12)) = (op1 (e12) (e11))) = ((e12) = (op1 (e12) (op1 (e12) (e11))))).
% 83.55/83.78 intro zenon_D_pnotp.
% 83.55/83.78 apply zenon_H2a1.
% 83.55/83.78 rewrite <- zenon_D_pnotp.
% 83.55/83.78 exact zenon_H29d.
% 83.55/83.78 cut (((op1 (e12) (e11)) = (op1 (e12) (op1 (e12) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H2a2].
% 83.55/83.78 cut (((op1 (e11) (e12)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2a3].
% 83.55/83.78 congruence.
% 83.55/83.78 exact (zenon_H2a3 zenon_H1a6).
% 83.55/83.78 cut (((e11) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H28b].
% 83.55/83.78 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2b].
% 83.55/83.78 congruence.
% 83.55/83.78 apply zenon_H2b. apply refl_equal.
% 83.55/83.78 apply zenon_H28b. apply sym_equal. exact zenon_H184.
% 83.55/83.78 apply zenon_H2b. apply refl_equal.
% 83.55/83.78 apply zenon_H2b. apply refl_equal.
% 83.55/83.78 (* end of lemma zenon_L197_ *)
% 83.55/83.78 assert (zenon_L198_ : (((op1 (e11) (e12)) = (op1 (e12) (e11)))/\((~((op1 (e10) (op1 (e12) (e11))) = (e10)))/\((~((op1 (e11) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e12)))/\(~((op1 (e13) (op1 (e12) (e11))) = (e13))))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 83.55/83.78 do 0 intro. intros zenon_H2a4 zenon_H61 zenon_H220 zenon_H1f4 zenon_H25a zenon_H229 zenon_H1e4 zenon_H25d zenon_H1dc zenon_H1d4 zenon_H1cf zenon_H1e8 zenon_H1f5 zenon_H45 zenon_H1b0 zenon_H1c2 zenon_H19a zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H1c9 zenon_H1a9 zenon_H1a0 zenon_H1ad zenon_H1d8 zenon_H256 zenon_H1c8 zenon_H50 zenon_H56 zenon_H176 zenon_H1b9 zenon_H1ba zenon_H16d zenon_H187 zenon_H1b6 zenon_H18e zenon_H1a5 zenon_H3f zenon_H2e zenon_H276 zenon_H200 zenon_H1ee zenon_H1f3 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25.
% 83.55/83.78 apply (zenon_and_s _ _ zenon_H2a4). zenon_intro zenon_H29d. zenon_intro zenon_H2a5.
% 83.55/83.78 apply (zenon_and_s _ _ zenon_H2a5). zenon_intro zenon_H2a7. zenon_intro zenon_H2a6.
% 83.55/83.78 apply (zenon_and_s _ _ zenon_H2a6). zenon_intro zenon_H299. zenon_intro zenon_H2a8.
% 83.55/83.78 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H2a0. zenon_intro zenon_H2a9.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ].
% 83.55/83.78 apply (zenon_L11_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ].
% 83.55/83.78 apply (zenon_L20_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ].
% 83.55/83.78 apply (zenon_L22_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ].
% 83.55/83.78 apply (zenon_L11_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ].
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H2d | zenon_intro zenon_H1f6 ].
% 83.55/83.78 apply (zenon_L7_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H162 | zenon_intro zenon_H1f7 ].
% 83.55/83.78 apply (zenon_L90_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H16c | zenon_intro zenon_H195 ].
% 83.55/83.78 apply (zenon_L93_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H18 | zenon_intro zenon_H174 ].
% 83.55/83.78 apply (zenon_L3_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H169 | zenon_intro zenon_H175 ].
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H18 | zenon_intro zenon_H1f8 ].
% 83.55/83.78 apply (zenon_L3_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1f9 ].
% 83.55/83.78 apply (zenon_L115_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1d9 | zenon_intro zenon_H1ed ].
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H43 | zenon_intro zenon_H1ca ].
% 83.55/83.78 apply (zenon_L12_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H177 | zenon_intro zenon_H1cb ].
% 83.55/83.78 apply (zenon_L94_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H181 | zenon_intro zenon_H197 ].
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H162 | zenon_intro zenon_H1fa ].
% 83.55/83.78 apply (zenon_L195_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H17e | zenon_intro zenon_H1fb ].
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1ce | zenon_intro zenon_H1e9 ].
% 83.55/83.78 apply (zenon_L116_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H17f | zenon_intro zenon_H1ea ].
% 83.55/83.78 apply (zenon_L97_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1e5 ].
% 83.55/83.78 apply (zenon_L119_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H17a | zenon_intro zenon_H1bb ].
% 83.55/83.78 apply (zenon_L95_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H17f | zenon_intro zenon_H1bc ].
% 83.55/83.78 apply (zenon_L97_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H182 | zenon_intro zenon_H198 ].
% 83.55/83.78 apply (zenon_L98_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H1aa | zenon_intro zenon_H25e ].
% 83.55/83.78 apply (zenon_L158_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H228 | zenon_intro zenon_H25f ].
% 83.55/83.78 apply (zenon_L147_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H25f); [ zenon_intro zenon_H1ab | zenon_intro zenon_H259 ].
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H59 | zenon_intro zenon_H257 ].
% 83.55/83.78 apply (zenon_L22_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H19b | zenon_intro zenon_H258 ].
% 83.55/83.78 apply (zenon_L159_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H19c ].
% 83.55/83.78 apply (zenon_L117_); trivial.
% 83.55/83.78 apply (zenon_L196_); trivial.
% 83.55/83.78 apply (zenon_L162_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H19f | zenon_intro zenon_H1eb ].
% 83.55/83.78 apply (zenon_L105_); trivial.
% 83.55/83.78 apply (zenon_L127_); trivial.
% 83.55/83.78 apply (zenon_L114_); trivial.
% 83.55/83.78 apply (zenon_L135_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H24 ].
% 83.55/83.78 apply (zenon_L4_); trivial.
% 83.55/83.78 apply (zenon_L5_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ].
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H2d | zenon_intro zenon_H1f6 ].
% 83.55/83.78 apply (zenon_L7_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H162 | zenon_intro zenon_H1f7 ].
% 83.55/83.78 apply (zenon_L178_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H16c | zenon_intro zenon_H195 ].
% 83.55/83.78 apply (zenon_L179_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H18 | zenon_intro zenon_H174 ].
% 83.55/83.78 apply (zenon_L3_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H169 | zenon_intro zenon_H175 ].
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H18 | zenon_intro zenon_H1f8 ].
% 83.55/83.78 apply (zenon_L3_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1f9 ].
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_H161 | zenon_intro zenon_H27a ].
% 83.55/83.78 apply (zenon_L115_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H27a); [ zenon_intro zenon_H177 | zenon_intro zenon_H27b ].
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H34 | zenon_intro zenon_H1cc ].
% 83.55/83.78 apply (zenon_L9_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H17e | zenon_intro zenon_H1cd ].
% 83.55/83.78 apply (zenon_L180_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H184 | zenon_intro zenon_H1c0 ].
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H59 | zenon_intro zenon_H257 ].
% 83.55/83.78 apply (zenon_L21_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H19b | zenon_intro zenon_H258 ].
% 83.55/83.78 apply (zenon_L181_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H19c ].
% 83.55/83.78 apply (zenon_L182_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1ad); [ zenon_intro zenon_H19b | zenon_intro zenon_H1ae ].
% 83.55/83.78 apply (zenon_L104_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H19f | zenon_intro zenon_H1af ].
% 83.55/83.78 apply (zenon_L105_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1ab ].
% 83.55/83.78 apply (zenon_L197_); trivial.
% 83.55/83.78 apply (zenon_L107_); trivial.
% 83.55/83.78 apply (zenon_L132_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H27b); [ zenon_intro zenon_H19b | zenon_intro zenon_H46 ].
% 83.55/83.78 apply (zenon_L181_); trivial.
% 83.55/83.78 apply (zenon_L13_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1d9 | zenon_intro zenon_H1ed ].
% 83.55/83.78 apply (zenon_L131_); trivial.
% 83.55/83.78 apply (zenon_L128_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H24 ].
% 83.55/83.78 apply (zenon_L4_); trivial.
% 83.55/83.78 apply (zenon_L5_); trivial.
% 83.55/83.78 apply (zenon_L138_); trivial.
% 83.55/83.78 (* end of lemma zenon_L198_ *)
% 83.55/83.78 assert (zenon_L199_ : (~((op1 (e12) (op1 (e12) (e12))) = (op1 (e12) (e12)))) -> ((op1 (e12) (e12)) = (e12)) -> False).
% 83.55/83.78 do 0 intro. intros zenon_H2aa zenon_H1a7.
% 83.55/83.78 cut (((op1 (e12) (e12)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2ab].
% 83.55/83.78 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2b].
% 83.55/83.78 congruence.
% 83.55/83.78 apply zenon_H2b. apply refl_equal.
% 83.55/83.78 exact (zenon_H2ab zenon_H1a7).
% 83.55/83.78 (* end of lemma zenon_L199_ *)
% 83.55/83.78 assert (zenon_L200_ : (~((op1 (e12) (op1 (e12) (e12))) = (e12))) -> ((op1 (e12) (e12)) = (e12)) -> False).
% 83.55/83.78 do 0 intro. intros zenon_H2ac zenon_H1a7.
% 83.55/83.78 cut (((op1 (e12) (e12)) = (e12)) = ((op1 (e12) (op1 (e12) (e12))) = (e12))).
% 83.55/83.78 intro zenon_D_pnotp.
% 83.55/83.78 apply zenon_H2ac.
% 83.55/83.78 rewrite <- zenon_D_pnotp.
% 83.55/83.78 exact zenon_H1a7.
% 83.55/83.78 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2b].
% 83.55/83.78 cut (((op1 (e12) (e12)) = (op1 (e12) (op1 (e12) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H2ad].
% 83.55/83.78 congruence.
% 83.55/83.78 elim (classic ((op1 (e12) (op1 (e12) (e12))) = (op1 (e12) (op1 (e12) (e12))))); [ zenon_intro zenon_H2ae | zenon_intro zenon_H2af ].
% 83.55/83.78 cut (((op1 (e12) (op1 (e12) (e12))) = (op1 (e12) (op1 (e12) (e12)))) = ((op1 (e12) (e12)) = (op1 (e12) (op1 (e12) (e12))))).
% 83.55/83.78 intro zenon_D_pnotp.
% 83.55/83.78 apply zenon_H2ad.
% 83.55/83.78 rewrite <- zenon_D_pnotp.
% 83.55/83.78 exact zenon_H2ae.
% 83.55/83.78 cut (((op1 (e12) (op1 (e12) (e12))) = (op1 (e12) (op1 (e12) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H2af].
% 83.55/83.78 cut (((op1 (e12) (op1 (e12) (e12))) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H2aa].
% 83.55/83.78 congruence.
% 83.55/83.78 apply (zenon_L199_); trivial.
% 83.55/83.78 apply zenon_H2af. apply refl_equal.
% 83.55/83.78 apply zenon_H2af. apply refl_equal.
% 83.55/83.78 apply zenon_H2b. apply refl_equal.
% 83.55/83.78 (* end of lemma zenon_L200_ *)
% 83.55/83.78 assert (zenon_L201_ : (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((e12) = (op1 (e10) (e10))) -> (~((e10) = (e12))) -> ((op1 (e12) (e11)) = (e10)) -> (~((op1 (e12) (op1 (e12) (e12))) = (e12))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e13)) = (e12)) -> False).
% 83.55/83.78 do 0 intro. intros zenon_H1b6 zenon_H18e zenon_H2c zenon_H3f zenon_H181 zenon_H2ac zenon_H1e4 zenon_H1e5.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H18d | zenon_intro zenon_H1b7 ].
% 83.55/83.78 apply (zenon_L101_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H182 | zenon_intro zenon_H1b8 ].
% 83.55/83.78 apply (zenon_L98_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1b4 ].
% 83.55/83.78 apply (zenon_L200_); trivial.
% 83.55/83.78 apply (zenon_L122_); trivial.
% 83.55/83.78 (* end of lemma zenon_L201_ *)
% 83.55/83.78 assert (zenon_L202_ : (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((e11) = (e12))) -> ((op1 (e11) (e11)) = (e11)) -> ((op1 (e12) (e10)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((e12) = (op1 (e10) (e10))) -> (~((e10) = (e12))) -> ((op1 (e12) (e11)) = (e10)) -> (~((op1 (e12) (op1 (e12) (e12))) = (e12))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> False).
% 83.55/83.78 do 0 intro. intros zenon_H1e8 zenon_H1cf zenon_H2e zenon_H17e zenon_H1d9 zenon_H1d8 zenon_H1a5 zenon_H14 zenon_H187 zenon_H1d4 zenon_H1dc zenon_H1b6 zenon_H18e zenon_H2c zenon_H3f zenon_H181 zenon_H2ac zenon_H1e4.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1ce | zenon_intro zenon_H1e9 ].
% 83.55/83.78 apply (zenon_L116_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H17f | zenon_intro zenon_H1ea ].
% 83.55/83.78 apply (zenon_L97_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1e5 ].
% 83.55/83.78 apply (zenon_L119_); trivial.
% 83.55/83.78 apply (zenon_L201_); trivial.
% 83.55/83.78 (* end of lemma zenon_L202_ *)
% 83.55/83.78 assert (zenon_L203_ : (~((op1 (e10) (op1 (e12) (e12))) = (op1 (e10) (e13)))) -> ((op1 (e12) (e12)) = (e13)) -> False).
% 83.55/83.78 do 0 intro. intros zenon_H2b0 zenon_H1da.
% 83.55/83.78 cut (((op1 (e12) (e12)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H2b1].
% 83.55/83.78 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H12].
% 83.55/83.78 congruence.
% 83.55/83.78 apply zenon_H12. apply refl_equal.
% 83.55/83.78 exact (zenon_H2b1 zenon_H1da).
% 83.55/83.78 (* end of lemma zenon_L203_ *)
% 83.55/83.78 assert (zenon_L204_ : (((op1 (e12) (e12)) = (op1 (e12) (e12)))/\((~((op1 (e10) (op1 (e12) (e12))) = (e10)))/\((~((op1 (e11) (op1 (e12) (e12))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e12) (e12))) = (e13))))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((e11) = (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 83.55/83.78 do 0 intro. intros zenon_H2b2 zenon_H61 zenon_H220 zenon_H1f5 zenon_H1b0 zenon_H1a9 zenon_H19a zenon_H1ad zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H16d zenon_H1ba zenon_H1b9 zenon_H56 zenon_H45 zenon_H50 zenon_H1c2 zenon_H1f4 zenon_H1e4 zenon_H3f zenon_H18e zenon_H1b6 zenon_H1a0 zenon_H1c9 zenon_H2e zenon_H1d4 zenon_H1a5 zenon_H1cf zenon_H1e8 zenon_H176 zenon_H1c8 zenon_H1ee zenon_H1f3 zenon_H187 zenon_H1d8 zenon_H1dc zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25.
% 83.55/83.78 apply (zenon_and_s _ _ zenon_H2b2). zenon_intro zenon_H188. zenon_intro zenon_H2b3.
% 83.55/83.78 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_H2b5. zenon_intro zenon_H2b4.
% 83.55/83.78 apply (zenon_and_s _ _ zenon_H2b4). zenon_intro zenon_H2b7. zenon_intro zenon_H2b6.
% 83.55/83.78 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H2ac. zenon_intro zenon_H2b8.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ].
% 83.55/83.78 apply (zenon_L11_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ].
% 83.55/83.78 apply (zenon_L20_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ].
% 83.55/83.78 apply (zenon_L22_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ].
% 83.55/83.78 apply (zenon_L11_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ].
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H2d | zenon_intro zenon_H1f6 ].
% 83.55/83.78 apply (zenon_L7_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H162 | zenon_intro zenon_H1f7 ].
% 83.55/83.78 apply (zenon_L90_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H16c | zenon_intro zenon_H195 ].
% 83.55/83.78 apply (zenon_L93_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H18 | zenon_intro zenon_H174 ].
% 83.55/83.78 apply (zenon_L3_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H169 | zenon_intro zenon_H175 ].
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H18 | zenon_intro zenon_H1f8 ].
% 83.55/83.78 apply (zenon_L3_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1f9 ].
% 83.55/83.78 apply (zenon_L115_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1d9 | zenon_intro zenon_H1ed ].
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H43 | zenon_intro zenon_H1ca ].
% 83.55/83.78 apply (zenon_L12_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H177 | zenon_intro zenon_H1cb ].
% 83.55/83.78 apply (zenon_L94_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H181 | zenon_intro zenon_H197 ].
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H162 | zenon_intro zenon_H1fa ].
% 83.55/83.78 apply (zenon_L90_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H17e | zenon_intro zenon_H1fb ].
% 83.55/83.78 apply (zenon_L202_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H19f | zenon_intro zenon_H1eb ].
% 83.55/83.78 apply (zenon_L105_); trivial.
% 83.55/83.78 apply (zenon_L127_); trivial.
% 83.55/83.78 apply (zenon_L114_); trivial.
% 83.55/83.78 apply (zenon_L128_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H24 ].
% 83.55/83.78 apply (zenon_L4_); trivial.
% 83.55/83.78 apply (zenon_L5_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ].
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H1dd ].
% 83.55/83.78 apply (zenon_L182_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H186 | zenon_intro zenon_H1de ].
% 83.55/83.78 apply (zenon_L100_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1da ].
% 83.55/83.78 apply (zenon_L200_); trivial.
% 83.55/83.78 cut (((op1 (e10) (e13)) = (e10)) = ((op1 (e10) (op1 (e12) (e12))) = (e10))).
% 83.55/83.78 intro zenon_D_pnotp.
% 83.55/83.78 apply zenon_H2b5.
% 83.55/83.78 rewrite <- zenon_D_pnotp.
% 83.55/83.78 exact zenon_H42.
% 83.55/83.78 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H12].
% 83.55/83.78 cut (((op1 (e10) (e13)) = (op1 (e10) (op1 (e12) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H2b9].
% 83.55/83.78 congruence.
% 83.55/83.78 elim (classic ((op1 (e10) (op1 (e12) (e12))) = (op1 (e10) (op1 (e12) (e12))))); [ zenon_intro zenon_H2ba | zenon_intro zenon_H2bb ].
% 83.55/83.78 cut (((op1 (e10) (op1 (e12) (e12))) = (op1 (e10) (op1 (e12) (e12)))) = ((op1 (e10) (e13)) = (op1 (e10) (op1 (e12) (e12))))).
% 83.55/83.78 intro zenon_D_pnotp.
% 83.55/83.78 apply zenon_H2b9.
% 83.55/83.78 rewrite <- zenon_D_pnotp.
% 83.55/83.78 exact zenon_H2ba.
% 83.55/83.78 cut (((op1 (e10) (op1 (e12) (e12))) = (op1 (e10) (op1 (e12) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H2bb].
% 83.55/83.78 cut (((op1 (e10) (op1 (e12) (e12))) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2b0].
% 83.55/83.78 congruence.
% 83.55/83.78 apply (zenon_L203_); trivial.
% 83.55/83.78 apply zenon_H2bb. apply refl_equal.
% 83.55/83.78 apply zenon_H2bb. apply refl_equal.
% 83.55/83.78 apply zenon_H12. apply refl_equal.
% 83.55/83.78 apply (zenon_L138_); trivial.
% 83.55/83.78 (* end of lemma zenon_L204_ *)
% 83.55/83.78 assert (zenon_L205_ : ((op1 (e13) (e12)) = (e10)) -> ((op1 (e13) (e12)) = (op1 (e12) (e13))) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> False).
% 83.55/83.78 do 0 intro. intros zenon_H19c zenon_H2bc zenon_H42 zenon_H50.
% 83.55/83.78 elim (classic ((op1 (e12) (e13)) = (op1 (e12) (e13)))); [ zenon_intro zenon_H2bd | zenon_intro zenon_H2be ].
% 83.55/83.78 cut (((op1 (e12) (e13)) = (op1 (e12) (e13))) = ((op1 (e10) (e13)) = (op1 (e12) (e13)))).
% 83.55/83.78 intro zenon_D_pnotp.
% 83.55/83.78 apply zenon_H50.
% 83.55/83.78 rewrite <- zenon_D_pnotp.
% 83.55/83.78 exact zenon_H2bd.
% 83.55/83.78 cut (((op1 (e12) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2be].
% 83.55/83.78 cut (((op1 (e12) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2bf].
% 83.55/83.78 congruence.
% 83.55/83.78 cut (((op1 (e13) (e12)) = (e10)) = ((op1 (e12) (e13)) = (op1 (e10) (e13)))).
% 83.55/83.78 intro zenon_D_pnotp.
% 83.55/83.78 apply zenon_H2bf.
% 83.55/83.78 rewrite <- zenon_D_pnotp.
% 83.55/83.78 exact zenon_H19c.
% 83.55/83.78 cut (((e10) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2c0].
% 83.55/83.78 cut (((op1 (e13) (e12)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2c1].
% 83.55/83.78 congruence.
% 83.55/83.78 exact (zenon_H2c1 zenon_H2bc).
% 83.55/83.78 apply zenon_H2c0. apply sym_equal. exact zenon_H42.
% 83.55/83.78 apply zenon_H2be. apply refl_equal.
% 83.55/83.78 apply zenon_H2be. apply refl_equal.
% 83.55/83.78 (* end of lemma zenon_L205_ *)
% 83.55/83.78 assert (zenon_L206_ : (((op1 (e13) (e12)) = (op1 (e12) (e13)))/\((~((op1 (e10) (op1 (e12) (e13))) = (e10)))/\((~((op1 (e11) (op1 (e12) (e13))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e13))) = (e12)))/\(~((op1 (e13) (op1 (e12) (e13))) = (e13))))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 83.55/83.78 do 0 intro. intros zenon_H2c2 zenon_H61 zenon_H3f zenon_H45 zenon_H56 zenon_H2c zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H50 zenon_H1c2 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1b0 zenon_H1e zenon_H17 zenon_H14 zenon_H25.
% 83.55/83.78 apply (zenon_and_s _ _ zenon_H2c2). zenon_intro zenon_H2bc. zenon_intro zenon_H2c3.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ].
% 83.55/83.78 apply (zenon_L11_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ].
% 83.55/83.78 apply (zenon_L20_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ].
% 83.55/83.78 apply (zenon_L22_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H18 | zenon_intro zenon_H174 ].
% 83.55/83.78 apply (zenon_L3_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H169 | zenon_intro zenon_H175 ].
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H194 | zenon_intro zenon_H1b1 ].
% 83.55/83.78 apply (zenon_L138_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H197 | zenon_intro zenon_H1b2 ].
% 83.55/83.78 apply (zenon_L114_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H19c | zenon_intro zenon_H54 ].
% 83.55/83.78 apply (zenon_L205_); trivial.
% 83.55/83.78 apply (zenon_L19_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H24 ].
% 83.55/83.78 apply (zenon_L4_); trivial.
% 83.55/83.78 apply (zenon_L5_); trivial.
% 83.55/83.78 (* end of lemma zenon_L206_ *)
% 83.55/83.78 assert (zenon_L207_ : (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e13)) = (e10)) -> ((op1 (e10) (e13)) = (op1 (e13) (e10))) -> ((op1 (e13) (e12)) = (e10)) -> False).
% 83.55/83.78 do 0 intro. intros zenon_H252 zenon_H42 zenon_H2c4 zenon_H19c.
% 83.55/83.78 cut (((op1 (e10) (e13)) = (e10)) = ((op1 (e13) (e10)) = (op1 (e13) (e12)))).
% 83.55/83.78 intro zenon_D_pnotp.
% 83.55/83.78 apply zenon_H252.
% 83.55/83.78 rewrite <- zenon_D_pnotp.
% 83.55/83.78 exact zenon_H42.
% 83.55/83.78 cut (((e10) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H19d].
% 83.55/83.78 cut (((op1 (e10) (e13)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H254].
% 83.55/83.78 congruence.
% 83.55/83.78 exact (zenon_H254 zenon_H2c4).
% 83.55/83.78 apply zenon_H19d. apply sym_equal. exact zenon_H19c.
% 83.55/83.78 (* end of lemma zenon_L207_ *)
% 83.55/83.78 assert (zenon_L208_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e13) (e12)) = (e10)) -> ((op1 (e10) (e13)) = (op1 (e13) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 83.55/83.78 do 0 intro. intros zenon_H56 zenon_H19c zenon_H2c4 zenon_H252 zenon_H45 zenon_H50 zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H2c zenon_H17 zenon_H14 zenon_H25.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H42 | zenon_intro zenon_H57 ].
% 83.55/83.78 apply (zenon_L207_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H57); [ zenon_intro zenon_H46 | zenon_intro zenon_H58 ].
% 83.55/83.78 apply (zenon_L15_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H51 | zenon_intro zenon_H54 ].
% 83.55/83.78 apply (zenon_L17_); trivial.
% 83.55/83.78 apply (zenon_L19_); trivial.
% 83.55/83.78 (* end of lemma zenon_L208_ *)
% 83.55/83.78 assert (zenon_L209_ : (((op1 (e10) (e13)) = (op1 (e13) (e10)))/\((~((op1 (e10) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e13) (e10))) = (e11)))/\((~((op1 (e12) (op1 (e13) (e10))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e10))) = (e13))))))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 83.55/83.78 do 0 intro. intros zenon_H2c5 zenon_H2c zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H56 zenon_H252 zenon_H45 zenon_H50 zenon_H1c2 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1b0 zenon_H1e zenon_H17 zenon_H14 zenon_H25.
% 83.55/83.78 apply (zenon_and_s _ _ zenon_H2c5). zenon_intro zenon_H2c4. zenon_intro zenon_H2c6.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H18 | zenon_intro zenon_H174 ].
% 83.55/83.78 apply (zenon_L3_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H169 | zenon_intro zenon_H175 ].
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H194 | zenon_intro zenon_H1b1 ].
% 83.55/83.78 apply (zenon_L138_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H197 | zenon_intro zenon_H1b2 ].
% 83.55/83.78 apply (zenon_L114_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H19c | zenon_intro zenon_H54 ].
% 83.55/83.78 apply (zenon_L208_); trivial.
% 83.55/83.78 apply (zenon_L19_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H24 ].
% 83.55/83.78 apply (zenon_L4_); trivial.
% 83.55/83.78 apply (zenon_L5_); trivial.
% 83.55/83.78 (* end of lemma zenon_L209_ *)
% 83.55/83.78 assert (zenon_L210_ : ((op1 (e11) (e13)) = (e11)) -> ((op1 (e11) (e13)) = (op1 (e13) (e11))) -> ((op1 (e12) (e11)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> False).
% 83.55/83.78 do 0 intro. intros zenon_H1eb zenon_H2c7 zenon_H184 zenon_H282.
% 83.55/83.78 elim (classic ((op1 (e13) (e11)) = (op1 (e13) (e11)))); [ zenon_intro zenon_H237 | zenon_intro zenon_H238 ].
% 83.55/83.78 cut (((op1 (e13) (e11)) = (op1 (e13) (e11))) = ((op1 (e12) (e11)) = (op1 (e13) (e11)))).
% 83.55/83.78 intro zenon_D_pnotp.
% 83.55/83.78 apply zenon_H282.
% 83.55/83.78 rewrite <- zenon_D_pnotp.
% 83.55/83.78 exact zenon_H237.
% 83.55/83.78 cut (((op1 (e13) (e11)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H238].
% 83.55/83.78 cut (((op1 (e13) (e11)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H28a].
% 83.55/83.78 congruence.
% 83.55/83.78 cut (((op1 (e11) (e13)) = (e11)) = ((op1 (e13) (e11)) = (op1 (e12) (e11)))).
% 83.55/83.78 intro zenon_D_pnotp.
% 83.55/83.78 apply zenon_H28a.
% 83.55/83.78 rewrite <- zenon_D_pnotp.
% 83.55/83.78 exact zenon_H1eb.
% 83.55/83.78 cut (((e11) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H28b].
% 83.55/83.78 cut (((op1 (e11) (e13)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H28c].
% 83.55/83.78 congruence.
% 83.55/83.78 exact (zenon_H28c zenon_H2c7).
% 83.55/83.78 apply zenon_H28b. apply sym_equal. exact zenon_H184.
% 83.55/83.78 apply zenon_H238. apply refl_equal.
% 83.55/83.78 apply zenon_H238. apply refl_equal.
% 83.55/83.78 (* end of lemma zenon_L210_ *)
% 83.55/83.78 assert (zenon_L211_ : (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> ((e12) = (op1 (e10) (e10))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((e10) = (e11))) -> ((op1 (e11) (e11)) = (e10)) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e11) (e13)) = (op1 (e13) (e11))) -> ((op1 (e11) (e13)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e10)) = (e11)) -> False).
% 83.55/83.78 do 0 intro. intros zenon_H1c9 zenon_H2c zenon_H14 zenon_H1e zenon_H163 zenon_H177 zenon_H282 zenon_H2c7 zenon_H1eb zenon_H1bf zenon_H195.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H34 | zenon_intro zenon_H1cc ].
% 83.55/83.78 apply (zenon_L9_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H17e | zenon_intro zenon_H1cd ].
% 83.55/83.78 apply (zenon_L180_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H184 | zenon_intro zenon_H1c0 ].
% 83.55/83.78 apply (zenon_L210_); trivial.
% 83.55/83.78 apply (zenon_L113_); trivial.
% 83.55/83.78 (* end of lemma zenon_L211_ *)
% 83.55/83.78 assert (zenon_L212_ : (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((op1 (e11) (e10)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> ((e12) = (op1 (e10) (e10))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((e10) = (e11))) -> ((op1 (e11) (e11)) = (e10)) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e11) (e13)) = (op1 (e13) (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e10)) = (e11)) -> False).
% 83.55/83.78 do 0 intro. intros zenon_H1f4 zenon_H161 zenon_H1a0 zenon_H1c9 zenon_H2c zenon_H14 zenon_H1e zenon_H163 zenon_H177 zenon_H282 zenon_H2c7 zenon_H1bf zenon_H195.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H162 | zenon_intro zenon_H1fa ].
% 83.55/83.78 apply (zenon_L90_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H17e | zenon_intro zenon_H1fb ].
% 83.55/83.78 apply (zenon_L180_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H19f | zenon_intro zenon_H1eb ].
% 83.55/83.78 apply (zenon_L105_); trivial.
% 83.55/83.78 apply (zenon_L211_); trivial.
% 83.55/83.78 (* end of lemma zenon_L212_ *)
% 83.55/83.78 assert (zenon_L213_ : (~((op1 (e12) (op1 (e13) (e11))) = (op1 (e12) (e12)))) -> ((op1 (e13) (e11)) = (e12)) -> False).
% 83.55/83.78 do 0 intro. intros zenon_H2c8 zenon_H198.
% 83.55/83.78 cut (((op1 (e13) (e11)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H199].
% 83.55/83.78 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2b].
% 83.55/83.78 congruence.
% 83.55/83.78 apply zenon_H2b. apply refl_equal.
% 83.55/83.78 exact (zenon_H199 zenon_H198).
% 83.55/83.78 (* end of lemma zenon_L213_ *)
% 83.55/83.78 assert (zenon_L214_ : (~((op1 (e12) (op1 (e13) (e11))) = (e12))) -> ((op1 (e12) (e12)) = (e12)) -> ((op1 (e13) (e11)) = (e12)) -> False).
% 83.55/83.78 do 0 intro. intros zenon_H2c9 zenon_H1a7 zenon_H198.
% 83.55/83.78 cut (((op1 (e12) (e12)) = (e12)) = ((op1 (e12) (op1 (e13) (e11))) = (e12))).
% 83.55/83.78 intro zenon_D_pnotp.
% 83.55/83.78 apply zenon_H2c9.
% 83.55/83.78 rewrite <- zenon_D_pnotp.
% 83.55/83.78 exact zenon_H1a7.
% 83.55/83.78 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2b].
% 83.55/83.78 cut (((op1 (e12) (e12)) = (op1 (e12) (op1 (e13) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H2ca].
% 83.55/83.78 congruence.
% 83.55/83.78 elim (classic ((op1 (e12) (op1 (e13) (e11))) = (op1 (e12) (op1 (e13) (e11))))); [ zenon_intro zenon_H2cb | zenon_intro zenon_H2cc ].
% 83.55/83.78 cut (((op1 (e12) (op1 (e13) (e11))) = (op1 (e12) (op1 (e13) (e11)))) = ((op1 (e12) (e12)) = (op1 (e12) (op1 (e13) (e11))))).
% 83.55/83.78 intro zenon_D_pnotp.
% 83.55/83.78 apply zenon_H2ca.
% 83.55/83.78 rewrite <- zenon_D_pnotp.
% 83.55/83.78 exact zenon_H2cb.
% 83.55/83.78 cut (((op1 (e12) (op1 (e13) (e11))) = (op1 (e12) (op1 (e13) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H2cc].
% 83.55/83.78 cut (((op1 (e12) (op1 (e13) (e11))) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H2c8].
% 83.55/83.78 congruence.
% 83.55/83.78 apply (zenon_L213_); trivial.
% 83.55/83.78 apply zenon_H2cc. apply refl_equal.
% 83.55/83.78 apply zenon_H2cc. apply refl_equal.
% 83.55/83.78 apply zenon_H2b. apply refl_equal.
% 83.55/83.78 (* end of lemma zenon_L214_ *)
% 83.55/83.78 assert (zenon_L215_ : (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((e12) = (op1 (e10) (e10))) -> (~((e10) = (e12))) -> ((op1 (e12) (e11)) = (e10)) -> ((op1 (e13) (e11)) = (e12)) -> (~((op1 (e12) (op1 (e13) (e11))) = (e12))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e13)) = (e12)) -> False).
% 83.55/83.78 do 0 intro. intros zenon_H1b6 zenon_H18e zenon_H2c zenon_H3f zenon_H181 zenon_H198 zenon_H2c9 zenon_H1e4 zenon_H1e5.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H18d | zenon_intro zenon_H1b7 ].
% 83.55/83.78 apply (zenon_L101_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H182 | zenon_intro zenon_H1b8 ].
% 83.55/83.78 apply (zenon_L98_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1b4 ].
% 83.55/83.78 apply (zenon_L214_); trivial.
% 83.55/83.78 apply (zenon_L122_); trivial.
% 83.55/83.78 (* end of lemma zenon_L215_ *)
% 83.55/83.78 assert (zenon_L216_ : (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((e11) = (e12))) -> ((op1 (e11) (e11)) = (e11)) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((e12) = (op1 (e10) (e10))) -> (~((e10) = (e12))) -> ((op1 (e12) (e11)) = (e10)) -> (~((op1 (e12) (op1 (e13) (e11))) = (e12))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e13)) = (e12)) -> False).
% 83.55/83.78 do 0 intro. intros zenon_H1b9 zenon_H16 zenon_H2e zenon_H17e zenon_H1b6 zenon_H18e zenon_H2c zenon_H3f zenon_H181 zenon_H2c9 zenon_H1e4 zenon_H1e5.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H17a | zenon_intro zenon_H1bb ].
% 83.55/83.78 apply (zenon_L95_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H17f | zenon_intro zenon_H1bc ].
% 83.55/83.78 apply (zenon_L97_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H182 | zenon_intro zenon_H198 ].
% 83.55/83.78 apply (zenon_L98_); trivial.
% 83.55/83.78 apply (zenon_L215_); trivial.
% 83.55/83.78 (* end of lemma zenon_L216_ *)
% 83.55/83.78 assert (zenon_L217_ : (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((e11) = (e13))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> ((e12) = (op1 (e10) (e10))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((e10) = (e11))) -> ((op1 (e11) (e11)) = (e10)) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e11) (e13)) = (op1 (e13) (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e10)) = (e11)) -> False).
% 83.55/83.78 do 0 intro. intros zenon_H1f4 zenon_H1ee zenon_H1aa zenon_H1a0 zenon_H1c9 zenon_H2c zenon_H14 zenon_H1e zenon_H163 zenon_H177 zenon_H282 zenon_H2c7 zenon_H1bf zenon_H195.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H162 | zenon_intro zenon_H1fa ].
% 83.55/83.78 apply (zenon_L177_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H17e | zenon_intro zenon_H1fb ].
% 83.55/83.78 apply (zenon_L180_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H19f | zenon_intro zenon_H1eb ].
% 83.55/83.78 apply (zenon_L105_); trivial.
% 83.55/83.78 apply (zenon_L211_); trivial.
% 83.55/83.78 (* end of lemma zenon_L217_ *)
% 83.55/83.78 assert (zenon_L218_ : (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((op1 (e12) (e10)) = (e10)) -> ((op1 (e12) (e11)) = (e10)) -> False).
% 83.55/83.78 do 0 intro. intros zenon_H2cd zenon_H1ff zenon_H181.
% 83.55/83.78 cut (((op1 (e12) (e10)) = (e10)) = ((op1 (e12) (e10)) = (op1 (e12) (e11)))).
% 83.55/83.78 intro zenon_D_pnotp.
% 83.55/83.78 apply zenon_H2cd.
% 83.55/83.78 rewrite <- zenon_D_pnotp.
% 83.55/83.78 exact zenon_H1ff.
% 83.55/83.78 cut (((e10) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H261].
% 83.55/83.78 cut (((op1 (e12) (e10)) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H190].
% 83.55/83.78 congruence.
% 83.55/83.78 apply zenon_H190. apply refl_equal.
% 83.55/83.78 apply zenon_H261. apply sym_equal. exact zenon_H181.
% 83.55/83.78 (* end of lemma zenon_L218_ *)
% 83.55/83.78 assert (zenon_L219_ : (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e11) = (e13))) -> ((op1 (e13) (e10)) = (e11)) -> ((op1 (e12) (e10)) = (e10)) -> (~((e10) = (e13))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e11) (e13)) = (op1 (e13) (e11))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> ((e12) = (op1 (e10) (e10))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 83.55/83.78 do 0 intro. intros zenon_H173 zenon_H1ee zenon_H195 zenon_H1ff zenon_H200 zenon_H1c8 zenon_H42 zenon_H1bf zenon_H2c7 zenon_H282 zenon_H163 zenon_H2c zenon_H1c9 zenon_H1a0 zenon_H1f4 zenon_H2cd zenon_H1c2 zenon_H16 zenon_H1f5 zenon_H1e zenon_H17 zenon_H14 zenon_H25.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H18 | zenon_intro zenon_H174 ].
% 83.55/83.78 apply (zenon_L3_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H169 | zenon_intro zenon_H175 ].
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H18 | zenon_intro zenon_H1f8 ].
% 83.55/83.78 apply (zenon_L3_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1f9 ].
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H43 | zenon_intro zenon_H1ca ].
% 83.55/83.78 apply (zenon_L12_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H177 | zenon_intro zenon_H1cb ].
% 83.55/83.78 apply (zenon_L217_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H181 | zenon_intro zenon_H197 ].
% 83.55/83.78 apply (zenon_L218_); trivial.
% 83.55/83.78 apply (zenon_L114_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1d9 | zenon_intro zenon_H1ed ].
% 83.55/83.78 apply (zenon_L131_); trivial.
% 83.55/83.78 apply (zenon_L128_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H24 ].
% 83.55/83.78 apply (zenon_L4_); trivial.
% 83.55/83.78 apply (zenon_L5_); trivial.
% 83.55/83.78 (* end of lemma zenon_L219_ *)
% 83.55/83.78 assert (zenon_L220_ : (((op1 (e11) (e13)) = (op1 (e13) (e11)))/\((~((op1 (e10) (op1 (e13) (e11))) = (e10)))/\((~((op1 (e11) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e13) (e11))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e11))) = (e13))))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((e11) = (e12))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 83.55/83.78 do 0 intro. intros zenon_H2ce zenon_H61 zenon_H220 zenon_H1b0 zenon_H1a9 zenon_H19a zenon_H1ad zenon_H16d zenon_H1ba zenon_H1e4 zenon_H3f zenon_H18e zenon_H1b6 zenon_H1b9 zenon_H2e zenon_H1dc zenon_H1d4 zenon_H187 zenon_H1a5 zenon_H1d8 zenon_H1cf zenon_H1e8 zenon_H56 zenon_H45 zenon_H50 zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H1f3 zenon_H1f5 zenon_H1c2 zenon_H2cd zenon_H1f4 zenon_H1a0 zenon_H1c9 zenon_H282 zenon_H1c8 zenon_H200 zenon_H1ee zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25.
% 83.55/83.78 apply (zenon_and_s _ _ zenon_H2ce). zenon_intro zenon_H2c7. zenon_intro zenon_H2cf.
% 83.55/83.78 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H2d1. zenon_intro zenon_H2d0.
% 83.55/83.78 apply (zenon_and_s _ _ zenon_H2d0). zenon_intro zenon_H2d3. zenon_intro zenon_H2d2.
% 83.55/83.78 apply (zenon_and_s _ _ zenon_H2d2). zenon_intro zenon_H2c9. zenon_intro zenon_H2d4.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ].
% 83.55/83.78 apply (zenon_L11_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ].
% 83.55/83.78 apply (zenon_L20_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ].
% 83.55/83.78 apply (zenon_L22_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ].
% 83.55/83.78 apply (zenon_L11_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ].
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H2d | zenon_intro zenon_H1f6 ].
% 83.55/83.78 apply (zenon_L7_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H162 | zenon_intro zenon_H1f7 ].
% 83.55/83.78 apply (zenon_L90_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H16c | zenon_intro zenon_H195 ].
% 83.55/83.78 apply (zenon_L93_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H18 | zenon_intro zenon_H174 ].
% 83.55/83.78 apply (zenon_L3_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H169 | zenon_intro zenon_H175 ].
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H18 | zenon_intro zenon_H1f8 ].
% 83.55/83.78 apply (zenon_L3_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1f9 ].
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H43 | zenon_intro zenon_H1ca ].
% 83.55/83.78 apply (zenon_L12_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H177 | zenon_intro zenon_H1cb ].
% 83.55/83.78 apply (zenon_L212_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H181 | zenon_intro zenon_H197 ].
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H162 | zenon_intro zenon_H1fa ].
% 83.55/83.78 apply (zenon_L90_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H17e | zenon_intro zenon_H1fb ].
% 83.55/83.78 apply (zenon_L112_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H19f | zenon_intro zenon_H1eb ].
% 83.55/83.78 apply (zenon_L105_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H34 | zenon_intro zenon_H1cc ].
% 83.55/83.78 apply (zenon_L9_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H17e | zenon_intro zenon_H1cd ].
% 83.55/83.78 apply (zenon_L112_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H184 | zenon_intro zenon_H1c0 ].
% 83.55/83.78 apply (zenon_L210_); trivial.
% 83.55/83.78 apply (zenon_L132_); trivial.
% 83.55/83.78 apply (zenon_L114_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1d9 | zenon_intro zenon_H1ed ].
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H43 | zenon_intro zenon_H1ca ].
% 83.55/83.78 apply (zenon_L20_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H177 | zenon_intro zenon_H1cb ].
% 83.55/83.78 apply (zenon_L212_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H181 | zenon_intro zenon_H197 ].
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H162 | zenon_intro zenon_H1fa ].
% 83.55/83.78 apply (zenon_L90_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H17e | zenon_intro zenon_H1fb ].
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1ce | zenon_intro zenon_H1e9 ].
% 83.55/83.78 apply (zenon_L116_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H17f | zenon_intro zenon_H1ea ].
% 83.55/83.78 apply (zenon_L97_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1e5 ].
% 83.55/83.78 apply (zenon_L119_); trivial.
% 83.55/83.78 apply (zenon_L216_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H19f | zenon_intro zenon_H1eb ].
% 83.55/83.78 apply (zenon_L105_); trivial.
% 83.55/83.78 apply (zenon_L127_); trivial.
% 83.55/83.78 apply (zenon_L114_); trivial.
% 83.55/83.78 apply (zenon_L128_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H24 ].
% 83.55/83.78 apply (zenon_L4_); trivial.
% 83.55/83.78 apply (zenon_L5_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ].
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H18 | zenon_intro zenon_H174 ].
% 83.55/83.78 apply (zenon_L3_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H169 | zenon_intro zenon_H175 ].
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H195 | zenon_intro zenon_H20e ].
% 83.55/83.78 apply (zenon_L219_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H20f ].
% 83.55/83.78 apply (zenon_L132_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H203 | zenon_intro zenon_H20b ].
% 83.55/83.78 apply (zenon_L133_); trivial.
% 83.55/83.78 apply (zenon_L134_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H24 ].
% 83.55/83.78 apply (zenon_L4_); trivial.
% 83.55/83.78 apply (zenon_L5_); trivial.
% 83.55/83.78 apply (zenon_L138_); trivial.
% 83.55/83.78 (* end of lemma zenon_L220_ *)
% 83.55/83.78 assert (zenon_L221_ : ((op1 (e13) (e12)) = (e10)) -> ((op1 (e12) (e13)) = (op1 (e13) (e12))) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> False).
% 83.55/83.78 do 0 intro. intros zenon_H19c zenon_H2d5 zenon_H42 zenon_H50.
% 83.55/83.78 elim (classic ((op1 (e12) (e13)) = (op1 (e12) (e13)))); [ zenon_intro zenon_H2bd | zenon_intro zenon_H2be ].
% 83.55/83.78 cut (((op1 (e12) (e13)) = (op1 (e12) (e13))) = ((op1 (e10) (e13)) = (op1 (e12) (e13)))).
% 83.55/83.78 intro zenon_D_pnotp.
% 83.55/83.78 apply zenon_H50.
% 83.55/83.78 rewrite <- zenon_D_pnotp.
% 83.55/83.78 exact zenon_H2bd.
% 83.55/83.78 cut (((op1 (e12) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2be].
% 83.55/83.78 cut (((op1 (e12) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2bf].
% 83.55/83.78 congruence.
% 83.55/83.78 cut (((op1 (e13) (e12)) = (e10)) = ((op1 (e12) (e13)) = (op1 (e10) (e13)))).
% 83.55/83.78 intro zenon_D_pnotp.
% 83.55/83.78 apply zenon_H2bf.
% 83.55/83.78 rewrite <- zenon_D_pnotp.
% 83.55/83.78 exact zenon_H19c.
% 83.55/83.78 cut (((e10) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2c0].
% 83.55/83.78 cut (((op1 (e13) (e12)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2c1].
% 83.55/83.78 congruence.
% 83.55/83.78 elim (classic ((op1 (e12) (e13)) = (op1 (e12) (e13)))); [ zenon_intro zenon_H2bd | zenon_intro zenon_H2be ].
% 83.55/83.78 cut (((op1 (e12) (e13)) = (op1 (e12) (e13))) = ((op1 (e13) (e12)) = (op1 (e12) (e13)))).
% 83.55/83.78 intro zenon_D_pnotp.
% 83.55/83.78 apply zenon_H2c1.
% 83.55/83.78 rewrite <- zenon_D_pnotp.
% 83.55/83.78 exact zenon_H2bd.
% 83.55/83.78 cut (((op1 (e12) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2be].
% 83.55/83.78 cut (((op1 (e12) (e13)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H2d6].
% 83.55/83.78 congruence.
% 83.55/83.78 exact (zenon_H2d6 zenon_H2d5).
% 83.55/83.78 apply zenon_H2be. apply refl_equal.
% 83.55/83.78 apply zenon_H2be. apply refl_equal.
% 83.55/83.78 apply zenon_H2c0. apply sym_equal. exact zenon_H42.
% 83.55/83.78 apply zenon_H2be. apply refl_equal.
% 83.55/83.78 apply zenon_H2be. apply refl_equal.
% 83.55/83.78 (* end of lemma zenon_L221_ *)
% 83.55/83.78 assert (zenon_L222_ : (((op1 (e12) (e13)) = (op1 (e13) (e12)))/\((~((op1 (e10) (op1 (e13) (e12))) = (e10)))/\((~((op1 (e11) (op1 (e13) (e12))) = (e11)))/\((~((op1 (e12) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e12))) = (e13))))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 83.55/83.78 do 0 intro. intros zenon_H2d7 zenon_H61 zenon_H3f zenon_H45 zenon_H56 zenon_H173 zenon_H16 zenon_H2c zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H50 zenon_H1c2 zenon_H20d zenon_H163 zenon_H1bf zenon_H204 zenon_H20a zenon_H16b zenon_H1b0 zenon_H1e zenon_H17 zenon_H14 zenon_H25.
% 83.55/83.78 apply (zenon_and_s _ _ zenon_H2d7). zenon_intro zenon_H2d5. zenon_intro zenon_H2d8.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ].
% 83.55/83.78 apply (zenon_L11_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ].
% 83.55/83.78 apply (zenon_L20_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ].
% 83.55/83.78 apply (zenon_L22_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H18 | zenon_intro zenon_H174 ].
% 83.55/83.78 apply (zenon_L3_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H169 | zenon_intro zenon_H175 ].
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H194 | zenon_intro zenon_H1b1 ].
% 83.55/83.78 apply (zenon_L137_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H197 | zenon_intro zenon_H1b2 ].
% 83.55/83.78 apply (zenon_L114_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H19c | zenon_intro zenon_H54 ].
% 83.55/83.78 apply (zenon_L221_); trivial.
% 83.55/83.78 apply (zenon_L19_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H24 ].
% 83.55/83.78 apply (zenon_L4_); trivial.
% 83.55/83.78 apply (zenon_L5_); trivial.
% 83.55/83.78 (* end of lemma zenon_L222_ *)
% 83.55/83.78 assert (zenon_L223_ : (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e11)) = (e12)) -> ((op1 (e13) (e13)) = (e12)) -> False).
% 83.55/83.78 do 0 intro. intros zenon_H2d9 zenon_H198 zenon_H2da.
% 83.55/83.78 cut (((op1 (e13) (e11)) = (e12)) = ((op1 (e13) (e11)) = (op1 (e13) (e13)))).
% 83.55/83.78 intro zenon_D_pnotp.
% 83.55/83.78 apply zenon_H2d9.
% 83.55/83.78 rewrite <- zenon_D_pnotp.
% 83.55/83.78 exact zenon_H198.
% 83.55/83.78 cut (((e12) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2db].
% 83.55/83.78 cut (((op1 (e13) (e11)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H238].
% 83.55/83.78 congruence.
% 83.55/83.78 apply zenon_H238. apply refl_equal.
% 83.55/83.78 apply zenon_H2db. apply sym_equal. exact zenon_H2da.
% 83.55/83.78 (* end of lemma zenon_L223_ *)
% 83.55/83.78 assert (zenon_L224_ : (~((op1 (e10) (op1 (e13) (e13))) = (op1 (e10) (e13)))) -> ((op1 (e13) (e13)) = (e13)) -> False).
% 83.55/83.78 do 0 intro. intros zenon_H2dc zenon_H2dd.
% 83.55/83.78 cut (((op1 (e13) (e13)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H2de].
% 83.55/83.78 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H12].
% 83.55/83.78 congruence.
% 83.55/83.78 apply zenon_H12. apply refl_equal.
% 83.55/83.78 exact (zenon_H2de zenon_H2dd).
% 83.55/83.78 (* end of lemma zenon_L224_ *)
% 83.55/83.78 assert (zenon_L225_ : (~((op1 (e10) (op1 (e13) (e13))) = (e10))) -> ((op1 (e10) (e13)) = (e10)) -> ((op1 (e13) (e13)) = (e13)) -> False).
% 83.55/83.78 do 0 intro. intros zenon_H2df zenon_H42 zenon_H2dd.
% 83.55/83.78 cut (((op1 (e10) (e13)) = (e10)) = ((op1 (e10) (op1 (e13) (e13))) = (e10))).
% 83.55/83.78 intro zenon_D_pnotp.
% 83.55/83.78 apply zenon_H2df.
% 83.55/83.78 rewrite <- zenon_D_pnotp.
% 83.55/83.78 exact zenon_H42.
% 83.55/83.78 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H12].
% 83.55/83.78 cut (((op1 (e10) (e13)) = (op1 (e10) (op1 (e13) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H2e0].
% 83.55/83.78 congruence.
% 83.55/83.78 elim (classic ((op1 (e10) (op1 (e13) (e13))) = (op1 (e10) (op1 (e13) (e13))))); [ zenon_intro zenon_H2e1 | zenon_intro zenon_H2e2 ].
% 83.55/83.78 cut (((op1 (e10) (op1 (e13) (e13))) = (op1 (e10) (op1 (e13) (e13)))) = ((op1 (e10) (e13)) = (op1 (e10) (op1 (e13) (e13))))).
% 83.55/83.78 intro zenon_D_pnotp.
% 83.55/83.78 apply zenon_H2e0.
% 83.55/83.78 rewrite <- zenon_D_pnotp.
% 83.55/83.78 exact zenon_H2e1.
% 83.55/83.78 cut (((op1 (e10) (op1 (e13) (e13))) = (op1 (e10) (op1 (e13) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H2e2].
% 83.55/83.78 cut (((op1 (e10) (op1 (e13) (e13))) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2dc].
% 83.55/83.78 congruence.
% 83.55/83.78 apply (zenon_L224_); trivial.
% 83.55/83.78 apply zenon_H2e2. apply refl_equal.
% 83.55/83.78 apply zenon_H2e2. apply refl_equal.
% 83.55/83.78 apply zenon_H12. apply refl_equal.
% 83.55/83.78 (* end of lemma zenon_L225_ *)
% 83.55/83.78 assert (zenon_L226_ : (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e11)) = (e13)) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e11)) = (e12)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (op1 (e13) (e13))) = (e10))) -> ((op1 (e10) (e13)) = (e10)) -> False).
% 83.55/83.78 do 0 intro. intros zenon_H2e3 zenon_H53 zenon_H169 zenon_H16b zenon_H20a zenon_H198 zenon_H2d9 zenon_H2df zenon_H42.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H54 | zenon_intro zenon_H2e4 ].
% 83.55/83.78 apply (zenon_L18_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H2e4); [ zenon_intro zenon_H20b | zenon_intro zenon_H2e5 ].
% 83.55/83.78 apply (zenon_L134_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H2da | zenon_intro zenon_H2dd ].
% 83.55/83.78 apply (zenon_L223_); trivial.
% 83.55/83.78 apply (zenon_L225_); trivial.
% 83.55/83.78 (* end of lemma zenon_L226_ *)
% 83.55/83.78 assert (zenon_L227_ : (((op1 (e13) (e13)) = (op1 (e13) (e13)))/\((~((op1 (e10) (op1 (e13) (e13))) = (e10)))/\((~((op1 (e11) (op1 (e13) (e13))) = (e11)))/\((~((op1 (e12) (op1 (e13) (e13))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13))))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((e10) = (e12))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 83.55/83.78 do 0 intro. intros zenon_H2e6 zenon_H61 zenon_H3f zenon_H2c zenon_H49 zenon_H3a zenon_H4d zenon_H50 zenon_H45 zenon_H56 zenon_H173 zenon_H16 zenon_H236 zenon_H2e3 zenon_H53 zenon_H16b zenon_H20a zenon_H2d9 zenon_H1bf zenon_H1c2 zenon_H2e7 zenon_H1e zenon_H17 zenon_H14 zenon_H25.
% 83.55/83.78 apply (zenon_and_s _ _ zenon_H2e6). zenon_intro zenon_H2e9. zenon_intro zenon_H2e8.
% 83.55/83.78 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H2df. zenon_intro zenon_H2ea.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ].
% 83.55/83.78 apply (zenon_L11_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ].
% 83.55/83.78 apply (zenon_L20_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ].
% 83.55/83.78 apply (zenon_L22_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H18 | zenon_intro zenon_H174 ].
% 83.55/83.78 apply (zenon_L3_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H169 | zenon_intro zenon_H175 ].
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H2e7); [ zenon_intro zenon_H197 | zenon_intro zenon_H2eb ].
% 83.55/83.78 apply (zenon_L114_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H2ec ].
% 83.55/83.78 apply (zenon_L132_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H198 | zenon_intro zenon_H235 ].
% 83.55/83.78 apply (zenon_L226_); trivial.
% 83.55/83.78 apply (zenon_L149_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H24 ].
% 83.55/83.78 apply (zenon_L4_); trivial.
% 83.55/83.78 apply (zenon_L5_); trivial.
% 83.55/83.78 (* end of lemma zenon_L227_ *)
% 83.55/83.78 assert (zenon_L228_ : (~((op1 (e11) (e10)) = (op1 (op1 (e10) (e12)) (e10)))) -> ((op1 (e10) (e12)) = (e11)) -> False).
% 83.55/83.78 do 0 intro. intros zenon_H2ed zenon_H244.
% 83.55/83.78 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H12].
% 83.55/83.78 cut (((e11) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H2ee].
% 83.55/83.78 congruence.
% 83.55/83.78 apply zenon_H2ee. apply sym_equal. exact zenon_H244.
% 83.55/83.78 apply zenon_H12. apply refl_equal.
% 83.55/83.78 (* end of lemma zenon_L228_ *)
% 83.55/83.78 assert (zenon_L229_ : (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (op1 (e10) (e12)) (e10)) = (e12)) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (e11) (e11)) = (e12)) -> False).
% 83.55/83.78 do 0 intro. intros zenon_H176 zenon_H2ef zenon_H244 zenon_H17f.
% 83.55/83.78 cut (((op1 (op1 (e10) (e12)) (e10)) = (e12)) = ((op1 (e11) (e10)) = (op1 (e11) (e11)))).
% 83.55/83.78 intro zenon_D_pnotp.
% 83.55/83.78 apply zenon_H176.
% 83.55/83.78 rewrite <- zenon_D_pnotp.
% 83.55/83.78 exact zenon_H2ef.
% 83.55/83.78 cut (((e12) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H2f0].
% 83.55/83.78 cut (((op1 (op1 (e10) (e12)) (e10)) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H2f1].
% 83.55/83.78 congruence.
% 83.55/83.78 elim (classic ((op1 (e11) (e10)) = (op1 (e11) (e10)))); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H179 ].
% 83.55/83.78 cut (((op1 (e11) (e10)) = (op1 (e11) (e10))) = ((op1 (op1 (e10) (e12)) (e10)) = (op1 (e11) (e10)))).
% 83.55/83.78 intro zenon_D_pnotp.
% 83.55/83.78 apply zenon_H2f1.
% 83.55/83.78 rewrite <- zenon_D_pnotp.
% 83.55/83.78 exact zenon_H1d0.
% 83.55/83.78 cut (((op1 (e11) (e10)) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H179].
% 83.55/83.78 cut (((op1 (e11) (e10)) = (op1 (op1 (e10) (e12)) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H2ed].
% 83.55/83.78 congruence.
% 83.55/83.78 apply (zenon_L228_); trivial.
% 83.55/83.78 apply zenon_H179. apply refl_equal.
% 83.55/83.78 apply zenon_H179. apply refl_equal.
% 83.55/83.78 apply zenon_H2f0. apply sym_equal. exact zenon_H17f.
% 83.55/83.78 (* end of lemma zenon_L229_ *)
% 83.55/83.78 assert (zenon_L230_ : (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (op1 (e10) (e12)) (e10)) = (e12)) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (e11) (e12)) = (e12)) -> False).
% 83.55/83.78 do 0 intro. intros zenon_H1a9 zenon_H2ef zenon_H244 zenon_H1a6.
% 83.55/83.78 cut (((op1 (op1 (e10) (e12)) (e10)) = (e12)) = ((op1 (e11) (e10)) = (op1 (e11) (e12)))).
% 83.55/83.78 intro zenon_D_pnotp.
% 83.55/83.78 apply zenon_H1a9.
% 83.55/83.78 rewrite <- zenon_D_pnotp.
% 83.55/83.78 exact zenon_H2ef.
% 83.55/83.78 cut (((e12) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H274].
% 83.55/83.78 cut (((op1 (op1 (e10) (e12)) (e10)) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H2f1].
% 83.55/83.78 congruence.
% 83.55/83.78 elim (classic ((op1 (e11) (e10)) = (op1 (e11) (e10)))); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H179 ].
% 83.55/83.78 cut (((op1 (e11) (e10)) = (op1 (e11) (e10))) = ((op1 (op1 (e10) (e12)) (e10)) = (op1 (e11) (e10)))).
% 83.55/83.78 intro zenon_D_pnotp.
% 83.55/83.78 apply zenon_H2f1.
% 83.55/83.78 rewrite <- zenon_D_pnotp.
% 83.55/83.78 exact zenon_H1d0.
% 83.55/83.78 cut (((op1 (e11) (e10)) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H179].
% 83.55/83.78 cut (((op1 (e11) (e10)) = (op1 (op1 (e10) (e12)) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H2ed].
% 83.55/83.78 congruence.
% 83.55/83.78 apply (zenon_L228_); trivial.
% 83.55/83.78 apply zenon_H179. apply refl_equal.
% 83.55/83.78 apply zenon_H179. apply refl_equal.
% 83.55/83.78 apply zenon_H274. apply sym_equal. exact zenon_H1a6.
% 83.55/83.78 (* end of lemma zenon_L230_ *)
% 83.55/83.78 assert (zenon_L231_ : ((~((op1 (e10) (op1 (e10) (e12))) = (e12)))/\(((op1 (op1 (e10) (e12)) (e10)) = (e12))/\(~((op1 (op1 (e10) (e12)) (e12)) = (e10))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> False).
% 83.55/83.78 do 0 intro. intros zenon_H2f2 zenon_H249 zenon_H2e zenon_H1e zenon_H2f3 zenon_H1a9 zenon_H176 zenon_H1cf zenon_H1e8 zenon_H14 zenon_H2c zenon_H3a.
% 83.55/83.78 apply (zenon_and_s _ _ zenon_H2f2). zenon_intro zenon_H2f5. zenon_intro zenon_H2f4.
% 83.55/83.78 apply (zenon_and_s _ _ zenon_H2f4). zenon_intro zenon_H2ef. zenon_intro zenon_H2f6.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H2d | zenon_intro zenon_H24a ].
% 83.55/83.78 apply (zenon_L7_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H34 | zenon_intro zenon_H24b ].
% 83.55/83.78 apply (zenon_L9_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H244 | zenon_intro zenon_H39 ].
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1ce | zenon_intro zenon_H1e9 ].
% 83.55/83.78 apply (zenon_L116_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H17f | zenon_intro zenon_H1ea ].
% 83.55/83.78 apply (zenon_L229_); trivial.
% 83.55/83.78 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1e5 ].
% 83.55/83.78 apply (zenon_L230_); trivial.
% 83.55/83.78 cut (((op1 (op1 (e10) (e12)) (e10)) = (e12)) = ((op1 (e11) (e10)) = (op1 (e11) (e13)))).
% 83.55/83.78 intro zenon_D_pnotp.
% 83.55/83.78 apply zenon_H2f3.
% 83.55/83.78 rewrite <- zenon_D_pnotp.
% 83.55/83.78 exact zenon_H2ef.
% 83.55/83.78 cut (((e12) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2f7].
% 83.55/83.78 cut (((op1 (op1 (e10) (e12)) (e10)) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H2f1].
% 83.55/83.78 congruence.
% 83.55/83.78 elim (classic ((op1 (e11) (e10)) = (op1 (e11) (e10)))); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H179 ].
% 83.55/83.78 cut (((op1 (e11) (e10)) = (op1 (e11) (e10))) = ((op1 (op1 (e10) (e12)) (e10)) = (op1 (e11) (e10)))).
% 83.55/83.78 intro zenon_D_pnotp.
% 83.55/83.78 apply zenon_H2f1.
% 83.55/83.78 rewrite <- zenon_D_pnotp.
% 83.55/83.78 exact zenon_H1d0.
% 83.55/83.78 cut (((op1 (e11) (e10)) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H179].
% 83.55/83.78 cut (((op1 (e11) (e10)) = (op1 (op1 (e10) (e12)) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H2ed].
% 83.55/83.78 congruence.
% 83.55/83.78 apply (zenon_L228_); trivial.
% 83.55/83.78 apply zenon_H179. apply refl_equal.
% 83.55/83.78 apply zenon_H179. apply refl_equal.
% 83.55/83.78 apply zenon_H2f7. apply sym_equal. exact zenon_H1e5.
% 83.55/83.78 apply (zenon_L10_); trivial.
% 83.55/83.78 (* end of lemma zenon_L231_ *)
% 83.55/83.79 assert (zenon_L232_ : (~((op1 (e10) (e10)) = (op1 (op1 (e10) (e13)) (e10)))) -> ((op1 (e10) (e13)) = (e10)) -> False).
% 83.55/83.79 do 0 intro. intros zenon_H2f8 zenon_H42.
% 83.55/83.79 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H12].
% 83.55/83.79 cut (((e10) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2c0].
% 83.55/83.79 congruence.
% 83.55/83.79 apply zenon_H2c0. apply sym_equal. exact zenon_H42.
% 83.55/83.79 apply zenon_H12. apply refl_equal.
% 83.55/83.79 (* end of lemma zenon_L232_ *)
% 83.55/83.79 assert (zenon_L233_ : (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (op1 (e10) (e13)) (e10)) = (e13)) -> ((op1 (e10) (e13)) = (e10)) -> ((op1 (e11) (e10)) = (e13)) -> False).
% 83.55/83.79 do 0 intro. intros zenon_H1cf zenon_H2f9 zenon_H42 zenon_H1aa.
% 83.55/83.79 cut (((op1 (op1 (e10) (e13)) (e10)) = (e13)) = ((op1 (e10) (e10)) = (op1 (e11) (e10)))).
% 83.55/83.79 intro zenon_D_pnotp.
% 83.55/83.79 apply zenon_H1cf.
% 83.55/83.79 rewrite <- zenon_D_pnotp.
% 83.55/83.79 exact zenon_H2f9.
% 83.55/83.79 cut (((e13) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H2fa].
% 83.55/83.79 cut (((op1 (op1 (e10) (e13)) (e10)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H2fb].
% 83.55/83.79 congruence.
% 83.55/83.79 elim (classic ((op1 (e10) (e10)) = (op1 (e10) (e10)))); [ zenon_intro zenon_H1a | zenon_intro zenon_H1b ].
% 83.55/83.79 cut (((op1 (e10) (e10)) = (op1 (e10) (e10))) = ((op1 (op1 (e10) (e13)) (e10)) = (op1 (e10) (e10)))).
% 83.55/83.79 intro zenon_D_pnotp.
% 83.55/83.79 apply zenon_H2fb.
% 83.55/83.79 rewrite <- zenon_D_pnotp.
% 83.55/83.79 exact zenon_H1a.
% 83.55/83.79 cut (((op1 (e10) (e10)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H1b].
% 83.55/83.79 cut (((op1 (e10) (e10)) = (op1 (op1 (e10) (e13)) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H2f8].
% 83.55/83.79 congruence.
% 83.55/83.79 apply (zenon_L232_); trivial.
% 83.55/83.79 apply zenon_H1b. apply refl_equal.
% 83.55/83.79 apply zenon_H1b. apply refl_equal.
% 83.55/83.79 apply zenon_H2fa. apply sym_equal. exact zenon_H1aa.
% 83.55/83.79 (* end of lemma zenon_L233_ *)
% 83.55/83.79 assert (zenon_L234_ : ((op1 (e12) (e10)) = (e11)) -> ((op1 (e12) (e10)) = (e13)) -> (~((e11) = (e13))) -> False).
% 83.55/83.79 do 0 intro. intros zenon_H16c zenon_H1d9 zenon_H1ee.
% 83.55/83.79 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H1ef | zenon_intro zenon_H1f0 ].
% 83.55/83.79 cut (((e13) = (e13)) = ((e11) = (e13))).
% 83.55/83.79 intro zenon_D_pnotp.
% 83.55/83.79 apply zenon_H1ee.
% 83.55/83.79 rewrite <- zenon_D_pnotp.
% 83.55/83.79 exact zenon_H1ef.
% 83.55/83.79 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H1f0].
% 83.55/83.79 cut (((e13) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H1f1].
% 83.55/83.79 congruence.
% 83.55/83.79 cut (((op1 (e12) (e10)) = (e11)) = ((e13) = (e11))).
% 83.55/83.79 intro zenon_D_pnotp.
% 83.55/83.79 apply zenon_H1f1.
% 83.55/83.79 rewrite <- zenon_D_pnotp.
% 83.55/83.79 exact zenon_H16c.
% 83.55/83.79 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H165].
% 83.55/83.79 cut (((op1 (e12) (e10)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H202].
% 83.55/83.79 congruence.
% 83.55/83.79 exact (zenon_H202 zenon_H1d9).
% 83.55/83.79 apply zenon_H165. apply refl_equal.
% 83.55/83.79 apply zenon_H1f0. apply refl_equal.
% 83.55/83.79 apply zenon_H1f0. apply refl_equal.
% 83.55/83.79 (* end of lemma zenon_L234_ *)
% 83.55/83.79 assert (zenon_L235_ : (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (op1 (e10) (e13)) (e10)) = (e13)) -> ((op1 (e10) (e13)) = (e10)) -> ((op1 (e13) (e10)) = (e13)) -> False).
% 83.55/83.79 do 0 intro. intros zenon_H2fc zenon_H2f9 zenon_H42 zenon_H1ed.
% 83.55/83.79 cut (((op1 (op1 (e10) (e13)) (e10)) = (e13)) = ((op1 (e10) (e10)) = (op1 (e13) (e10)))).
% 83.55/83.79 intro zenon_D_pnotp.
% 83.55/83.79 apply zenon_H2fc.
% 83.55/83.79 rewrite <- zenon_D_pnotp.
% 83.55/83.79 exact zenon_H2f9.
% 83.55/83.79 cut (((e13) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H2fd].
% 83.55/83.79 cut (((op1 (op1 (e10) (e13)) (e10)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H2fb].
% 83.55/83.79 congruence.
% 83.55/83.79 elim (classic ((op1 (e10) (e10)) = (op1 (e10) (e10)))); [ zenon_intro zenon_H1a | zenon_intro zenon_H1b ].
% 83.55/83.79 cut (((op1 (e10) (e10)) = (op1 (e10) (e10))) = ((op1 (op1 (e10) (e13)) (e10)) = (op1 (e10) (e10)))).
% 83.55/83.79 intro zenon_D_pnotp.
% 83.55/83.79 apply zenon_H2fb.
% 83.55/83.79 rewrite <- zenon_D_pnotp.
% 83.55/83.79 exact zenon_H1a.
% 83.55/83.79 cut (((op1 (e10) (e10)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H1b].
% 83.55/83.79 cut (((op1 (e10) (e10)) = (op1 (op1 (e10) (e13)) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H2f8].
% 83.55/83.79 congruence.
% 83.55/83.79 apply (zenon_L232_); trivial.
% 83.55/83.79 apply zenon_H1b. apply refl_equal.
% 83.55/83.79 apply zenon_H1b. apply refl_equal.
% 83.55/83.79 apply zenon_H2fd. apply sym_equal. exact zenon_H1ed.
% 83.55/83.79 (* end of lemma zenon_L235_ *)
% 83.55/83.79 assert (zenon_L236_ : (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((op1 (op1 (e10) (e13)) (e10)) = (e13)) -> ((op1 (e10) (e13)) = (e10)) -> ((op1 (e12) (e10)) = (e13)) -> False).
% 83.55/83.79 do 0 intro. intros zenon_H18e zenon_H2f9 zenon_H42 zenon_H1d9.
% 83.55/83.79 cut (((op1 (op1 (e10) (e13)) (e10)) = (e13)) = ((op1 (e10) (e10)) = (op1 (e12) (e10)))).
% 83.55/83.79 intro zenon_D_pnotp.
% 83.55/83.79 apply zenon_H18e.
% 83.55/83.79 rewrite <- zenon_D_pnotp.
% 83.55/83.79 exact zenon_H2f9.
% 83.55/83.79 cut (((e13) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H2fe].
% 83.55/83.79 cut (((op1 (op1 (e10) (e13)) (e10)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H2fb].
% 83.55/83.79 congruence.
% 83.55/83.79 elim (classic ((op1 (e10) (e10)) = (op1 (e10) (e10)))); [ zenon_intro zenon_H1a | zenon_intro zenon_H1b ].
% 83.55/83.79 cut (((op1 (e10) (e10)) = (op1 (e10) (e10))) = ((op1 (op1 (e10) (e13)) (e10)) = (op1 (e10) (e10)))).
% 83.55/83.79 intro zenon_D_pnotp.
% 83.55/83.79 apply zenon_H2fb.
% 83.55/83.79 rewrite <- zenon_D_pnotp.
% 83.55/83.79 exact zenon_H1a.
% 83.55/83.79 cut (((op1 (e10) (e10)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H1b].
% 83.55/83.79 cut (((op1 (e10) (e10)) = (op1 (op1 (e10) (e13)) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H2f8].
% 83.55/83.79 congruence.
% 83.55/83.79 apply (zenon_L232_); trivial.
% 83.55/83.79 apply zenon_H1b. apply refl_equal.
% 83.55/83.79 apply zenon_H1b. apply refl_equal.
% 83.55/83.79 apply zenon_H2fe. apply sym_equal. exact zenon_H1d9.
% 83.55/83.79 (* end of lemma zenon_L236_ *)
% 83.55/83.79 assert (zenon_L237_ : (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e10) (e13)) = (e10)) -> ((op1 (op1 (e10) (e13)) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e13) (e10)) = (e11)) -> (~((e11) = (e13))) -> False).
% 83.55/83.79 do 0 intro. intros zenon_H1f5 zenon_H14 zenon_H17 zenon_H16 zenon_H1cf zenon_H42 zenon_H2f9 zenon_H18e zenon_H195 zenon_H1ee.
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H18 | zenon_intro zenon_H1f8 ].
% 83.55/83.79 apply (zenon_L3_); trivial.
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1f9 ].
% 83.55/83.79 apply (zenon_L233_); trivial.
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1d9 | zenon_intro zenon_H1ed ].
% 83.55/83.79 apply (zenon_L236_); trivial.
% 83.55/83.79 apply (zenon_L128_); trivial.
% 83.55/83.79 (* end of lemma zenon_L237_ *)
% 83.55/83.79 assert (zenon_L238_ : ((op1 (e13) (e10)) = (e10)) -> ((op1 (e13) (e10)) = (e13)) -> (~((e10) = (e13))) -> False).
% 83.55/83.79 do 0 intro. intros zenon_H194 zenon_H1ed zenon_H200.
% 83.55/83.79 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H1ef | zenon_intro zenon_H1f0 ].
% 83.55/83.79 cut (((e13) = (e13)) = ((e10) = (e13))).
% 83.55/83.79 intro zenon_D_pnotp.
% 83.55/83.79 apply zenon_H200.
% 83.55/83.79 rewrite <- zenon_D_pnotp.
% 83.55/83.79 exact zenon_H1ef.
% 83.55/83.79 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H1f0].
% 83.55/83.79 cut (((e13) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H201].
% 83.55/83.79 congruence.
% 83.55/83.79 cut (((op1 (e13) (e10)) = (e10)) = ((e13) = (e10))).
% 83.55/83.79 intro zenon_D_pnotp.
% 83.55/83.79 apply zenon_H201.
% 83.55/83.79 rewrite <- zenon_D_pnotp.
% 83.55/83.79 exact zenon_H194.
% 83.55/83.79 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H12].
% 83.55/83.79 cut (((op1 (e13) (e10)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H1f2].
% 83.55/83.79 congruence.
% 83.55/83.79 exact (zenon_H1f2 zenon_H1ed).
% 83.55/83.79 apply zenon_H12. apply refl_equal.
% 83.55/83.79 apply zenon_H1f0. apply refl_equal.
% 83.55/83.79 apply zenon_H1f0. apply refl_equal.
% 83.55/83.79 (* end of lemma zenon_L238_ *)
% 83.55/83.79 assert (zenon_L239_ : ((~((op1 (e10) (op1 (e10) (e13))) = (e13)))/\(((op1 (op1 (e10) (e13)) (e10)) = (e13))/\(~((op1 (op1 (e10) (e13)) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e11) = (e12))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((e10) = (e11))) -> False).
% 83.55/83.79 do 0 intro. intros zenon_H2ff zenon_H61 zenon_H25 zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H50 zenon_H45 zenon_H56 zenon_H220 zenon_H3f zenon_H2fc zenon_H1f3 zenon_H2e zenon_H2c zenon_H18e zenon_H200 zenon_H1ee zenon_H1cf zenon_H16 zenon_H17 zenon_H14 zenon_H1f5 zenon_H163.
% 83.55/83.79 apply (zenon_and_s _ _ zenon_H2ff). zenon_intro zenon_H301. zenon_intro zenon_H300.
% 83.55/83.79 apply (zenon_and_s _ _ zenon_H300). zenon_intro zenon_H2f9. zenon_intro zenon_H302.
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ].
% 83.55/83.79 apply (zenon_L11_); trivial.
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ].
% 83.55/83.79 apply (zenon_L20_); trivial.
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ].
% 83.55/83.79 apply (zenon_L22_); trivial.
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ].
% 83.55/83.79 apply (zenon_L11_); trivial.
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ].
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H2d | zenon_intro zenon_H1f6 ].
% 83.55/83.79 apply (zenon_L7_); trivial.
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H162 | zenon_intro zenon_H1f7 ].
% 83.55/83.79 apply (zenon_L90_); trivial.
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H16c | zenon_intro zenon_H195 ].
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H18 | zenon_intro zenon_H1f8 ].
% 83.55/83.79 apply (zenon_L3_); trivial.
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1f9 ].
% 83.55/83.79 apply (zenon_L233_); trivial.
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1d9 | zenon_intro zenon_H1ed ].
% 83.55/83.79 apply (zenon_L234_); trivial.
% 83.55/83.79 apply (zenon_L235_); trivial.
% 83.55/83.79 apply (zenon_L237_); trivial.
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ].
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H18 | zenon_intro zenon_H1f8 ].
% 83.55/83.79 apply (zenon_L3_); trivial.
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1f9 ].
% 83.55/83.79 apply (zenon_L233_); trivial.
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1d9 | zenon_intro zenon_H1ed ].
% 83.55/83.79 apply (zenon_L131_); trivial.
% 83.55/83.79 apply (zenon_L235_); trivial.
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H2d | zenon_intro zenon_H1f6 ].
% 83.55/83.79 apply (zenon_L7_); trivial.
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H162 | zenon_intro zenon_H1f7 ].
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H18 | zenon_intro zenon_H1f8 ].
% 83.55/83.79 apply (zenon_L3_); trivial.
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1f9 ].
% 83.55/83.79 apply (zenon_L177_); trivial.
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1d9 | zenon_intro zenon_H1ed ].
% 83.55/83.79 apply (zenon_L236_); trivial.
% 83.55/83.79 apply (zenon_L238_); trivial.
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H16c | zenon_intro zenon_H195 ].
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H18 | zenon_intro zenon_H1f8 ].
% 83.55/83.79 apply (zenon_L3_); trivial.
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1f9 ].
% 83.55/83.79 apply (zenon_L233_); trivial.
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1d9 | zenon_intro zenon_H1ed ].
% 83.55/83.79 apply (zenon_L234_); trivial.
% 83.55/83.79 apply (zenon_L238_); trivial.
% 83.55/83.79 apply (zenon_L102_); trivial.
% 83.55/83.79 (* end of lemma zenon_L239_ *)
% 83.55/83.79 assert (zenon_L240_ : (~((op1 (e10) (e11)) = (op1 (op1 (e11) (e10)) (e11)))) -> ((op1 (e11) (e10)) = (e10)) -> False).
% 83.55/83.79 do 0 intro. intros zenon_H303 zenon_H161.
% 83.55/83.79 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H165].
% 83.55/83.79 cut (((e10) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H304].
% 83.55/83.79 congruence.
% 83.55/83.79 apply zenon_H304. apply sym_equal. exact zenon_H161.
% 83.55/83.79 apply zenon_H165. apply refl_equal.
% 83.55/83.79 (* end of lemma zenon_L240_ *)
% 83.55/83.79 assert (zenon_L241_ : (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (op1 (e11) (e10)) (e11)) = (e10)) -> ((op1 (e11) (e10)) = (e10)) -> ((op1 (e11) (e11)) = (e10)) -> False).
% 83.55/83.79 do 0 intro. intros zenon_H229 zenon_H305 zenon_H161 zenon_H177.
% 83.55/83.79 cut (((op1 (op1 (e11) (e10)) (e11)) = (e10)) = ((op1 (e10) (e11)) = (op1 (e11) (e11)))).
% 83.55/83.79 intro zenon_D_pnotp.
% 83.55/83.79 apply zenon_H229.
% 83.55/83.79 rewrite <- zenon_D_pnotp.
% 83.55/83.79 exact zenon_H305.
% 83.55/83.79 cut (((e10) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H178].
% 83.55/83.79 cut (((op1 (op1 (e11) (e10)) (e11)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H306].
% 83.55/83.79 congruence.
% 83.55/83.79 elim (classic ((op1 (e10) (e11)) = (op1 (e10) (e11)))); [ zenon_intro zenon_H36 | zenon_intro zenon_H37 ].
% 83.55/83.79 cut (((op1 (e10) (e11)) = (op1 (e10) (e11))) = ((op1 (op1 (e11) (e10)) (e11)) = (op1 (e10) (e11)))).
% 83.55/83.79 intro zenon_D_pnotp.
% 83.55/83.79 apply zenon_H306.
% 83.55/83.79 rewrite <- zenon_D_pnotp.
% 83.55/83.79 exact zenon_H36.
% 83.55/83.79 cut (((op1 (e10) (e11)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H37].
% 83.55/83.79 cut (((op1 (e10) (e11)) = (op1 (op1 (e11) (e10)) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H303].
% 83.55/83.79 congruence.
% 83.55/83.79 apply (zenon_L240_); trivial.
% 83.55/83.79 apply zenon_H37. apply refl_equal.
% 83.55/83.79 apply zenon_H37. apply refl_equal.
% 83.55/83.79 apply zenon_H178. apply sym_equal. exact zenon_H177.
% 83.55/83.79 (* end of lemma zenon_L241_ *)
% 83.55/83.79 assert (zenon_L242_ : (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((op1 (op1 (e11) (e10)) (e11)) = (e10)) -> ((op1 (e11) (e10)) = (e10)) -> ((op1 (e13) (e11)) = (e10)) -> False).
% 83.55/83.79 do 0 intro. intros zenon_H236 zenon_H305 zenon_H161 zenon_H197.
% 83.55/83.79 cut (((op1 (op1 (e11) (e10)) (e11)) = (e10)) = ((op1 (e10) (e11)) = (op1 (e13) (e11)))).
% 83.55/83.79 intro zenon_D_pnotp.
% 83.55/83.79 apply zenon_H236.
% 83.55/83.79 rewrite <- zenon_D_pnotp.
% 83.55/83.79 exact zenon_H305.
% 83.55/83.79 cut (((e10) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H307].
% 83.55/83.79 cut (((op1 (op1 (e11) (e10)) (e11)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H306].
% 83.55/83.79 congruence.
% 83.55/83.79 elim (classic ((op1 (e10) (e11)) = (op1 (e10) (e11)))); [ zenon_intro zenon_H36 | zenon_intro zenon_H37 ].
% 83.55/83.79 cut (((op1 (e10) (e11)) = (op1 (e10) (e11))) = ((op1 (op1 (e11) (e10)) (e11)) = (op1 (e10) (e11)))).
% 83.55/83.79 intro zenon_D_pnotp.
% 83.55/83.79 apply zenon_H306.
% 83.55/83.79 rewrite <- zenon_D_pnotp.
% 83.55/83.79 exact zenon_H36.
% 83.55/83.79 cut (((op1 (e10) (e11)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H37].
% 83.55/83.79 cut (((op1 (e10) (e11)) = (op1 (op1 (e11) (e10)) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H303].
% 83.55/83.79 congruence.
% 83.55/83.79 apply (zenon_L240_); trivial.
% 83.55/83.79 apply zenon_H37. apply refl_equal.
% 83.55/83.79 apply zenon_H37. apply refl_equal.
% 83.55/83.79 apply zenon_H307. apply sym_equal. exact zenon_H197.
% 83.55/83.79 (* end of lemma zenon_L242_ *)
% 83.55/83.79 assert (zenon_L243_ : (~((op1 (e11) (op1 (e11) (e10))) = (e10))) -> ((op1 (op1 (e11) (e10)) (e11)) = (e10)) -> ((op1 (e11) (e10)) = (e11)) -> False).
% 83.55/83.79 do 0 intro. intros zenon_H308 zenon_H305 zenon_H162.
% 83.55/83.79 cut (((op1 (op1 (e11) (e10)) (e11)) = (e10)) = ((op1 (e11) (op1 (e11) (e10))) = (e10))).
% 83.55/83.79 intro zenon_D_pnotp.
% 83.55/83.79 apply zenon_H308.
% 83.55/83.79 rewrite <- zenon_D_pnotp.
% 83.55/83.79 exact zenon_H305.
% 83.55/83.79 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H12].
% 83.55/83.79 cut (((op1 (op1 (e11) (e10)) (e11)) = (op1 (e11) (op1 (e11) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H309].
% 83.55/83.79 congruence.
% 83.55/83.79 elim (classic ((op1 (e11) (op1 (e11) (e10))) = (op1 (e11) (op1 (e11) (e10))))); [ zenon_intro zenon_H30a | zenon_intro zenon_H30b ].
% 83.55/83.79 cut (((op1 (e11) (op1 (e11) (e10))) = (op1 (e11) (op1 (e11) (e10)))) = ((op1 (op1 (e11) (e10)) (e11)) = (op1 (e11) (op1 (e11) (e10))))).
% 83.55/83.79 intro zenon_D_pnotp.
% 83.55/83.79 apply zenon_H309.
% 83.55/83.79 rewrite <- zenon_D_pnotp.
% 83.55/83.79 exact zenon_H30a.
% 83.55/83.79 cut (((op1 (e11) (op1 (e11) (e10))) = (op1 (e11) (op1 (e11) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H30b].
% 83.55/83.79 cut (((op1 (e11) (op1 (e11) (e10))) = (op1 (op1 (e11) (e10)) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H30c].
% 83.55/83.79 congruence.
% 83.55/83.79 cut (((op1 (e11) (e10)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H167].
% 83.55/83.79 cut (((e11) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H30d].
% 83.55/83.79 congruence.
% 83.55/83.79 apply zenon_H30d. apply sym_equal. exact zenon_H162.
% 83.55/83.79 exact (zenon_H167 zenon_H162).
% 83.55/83.79 apply zenon_H30b. apply refl_equal.
% 83.55/83.79 apply zenon_H30b. apply refl_equal.
% 83.55/83.79 apply zenon_H12. apply refl_equal.
% 83.55/83.79 (* end of lemma zenon_L243_ *)
% 83.55/83.79 assert (zenon_L244_ : (~((op1 (op1 (e11) (e10)) (e10)) = (e11))) -> ((op1 (e13) (e10)) = (e11)) -> ((op1 (e11) (e10)) = (e13)) -> False).
% 83.55/83.79 do 0 intro. intros zenon_H30e zenon_H195 zenon_H1aa.
% 83.55/83.79 cut (((op1 (e13) (e10)) = (e11)) = ((op1 (op1 (e11) (e10)) (e10)) = (e11))).
% 83.55/83.79 intro zenon_D_pnotp.
% 83.55/83.79 apply zenon_H30e.
% 83.55/83.79 rewrite <- zenon_D_pnotp.
% 83.55/83.79 exact zenon_H195.
% 83.55/83.79 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H165].
% 83.55/83.79 cut (((op1 (e13) (e10)) = (op1 (op1 (e11) (e10)) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H30f].
% 83.55/83.79 congruence.
% 83.55/83.79 elim (classic ((op1 (op1 (e11) (e10)) (e10)) = (op1 (op1 (e11) (e10)) (e10)))); [ zenon_intro zenon_H310 | zenon_intro zenon_H311 ].
% 83.55/83.79 cut (((op1 (op1 (e11) (e10)) (e10)) = (op1 (op1 (e11) (e10)) (e10))) = ((op1 (e13) (e10)) = (op1 (op1 (e11) (e10)) (e10)))).
% 83.55/83.79 intro zenon_D_pnotp.
% 83.55/83.79 apply zenon_H30f.
% 83.55/83.79 rewrite <- zenon_D_pnotp.
% 83.55/83.79 exact zenon_H310.
% 83.55/83.79 cut (((op1 (op1 (e11) (e10)) (e10)) = (op1 (op1 (e11) (e10)) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H311].
% 83.55/83.79 cut (((op1 (op1 (e11) (e10)) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H312].
% 83.55/83.79 congruence.
% 83.55/83.79 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H12].
% 83.55/83.79 cut (((op1 (e11) (e10)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H216].
% 83.55/83.79 congruence.
% 83.55/83.79 exact (zenon_H216 zenon_H1aa).
% 83.55/83.79 apply zenon_H12. apply refl_equal.
% 83.55/83.79 apply zenon_H311. apply refl_equal.
% 83.55/83.79 apply zenon_H311. apply refl_equal.
% 83.55/83.79 apply zenon_H165. apply refl_equal.
% 83.55/83.79 (* end of lemma zenon_L244_ *)
% 83.55/83.79 assert (zenon_L245_ : (~((op1 (e13) (e11)) = (op1 (op1 (e11) (e10)) (e11)))) -> ((op1 (e11) (e10)) = (e13)) -> False).
% 83.55/83.79 do 0 intro. intros zenon_H313 zenon_H1aa.
% 83.55/83.79 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H165].
% 83.55/83.79 cut (((e13) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H2fa].
% 83.55/83.79 congruence.
% 83.55/83.79 apply zenon_H2fa. apply sym_equal. exact zenon_H1aa.
% 83.55/83.79 apply zenon_H165. apply refl_equal.
% 83.55/83.79 (* end of lemma zenon_L245_ *)
% 83.55/83.79 assert (zenon_L246_ : ((op1 (op1 (e11) (e10)) (e11)) = (e10)) -> ((op1 (e11) (e10)) = (e13)) -> ((op1 (e12) (e11)) = (e10)) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> False).
% 83.55/83.79 do 0 intro. intros zenon_H305 zenon_H1aa zenon_H181 zenon_H282.
% 83.55/83.79 elim (classic ((op1 (e13) (e11)) = (op1 (e13) (e11)))); [ zenon_intro zenon_H237 | zenon_intro zenon_H238 ].
% 83.55/83.79 cut (((op1 (e13) (e11)) = (op1 (e13) (e11))) = ((op1 (e12) (e11)) = (op1 (e13) (e11)))).
% 83.55/83.79 intro zenon_D_pnotp.
% 83.55/83.79 apply zenon_H282.
% 83.55/83.79 rewrite <- zenon_D_pnotp.
% 83.55/83.79 exact zenon_H237.
% 83.55/83.79 cut (((op1 (e13) (e11)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H238].
% 83.55/83.79 cut (((op1 (e13) (e11)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H28a].
% 83.55/83.79 congruence.
% 83.55/83.79 cut (((op1 (op1 (e11) (e10)) (e11)) = (e10)) = ((op1 (e13) (e11)) = (op1 (e12) (e11)))).
% 83.55/83.79 intro zenon_D_pnotp.
% 83.55/83.79 apply zenon_H28a.
% 83.55/83.79 rewrite <- zenon_D_pnotp.
% 83.55/83.79 exact zenon_H305.
% 83.55/83.79 cut (((e10) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H261].
% 83.55/83.79 cut (((op1 (op1 (e11) (e10)) (e11)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H314].
% 83.55/83.79 congruence.
% 83.55/83.79 elim (classic ((op1 (e13) (e11)) = (op1 (e13) (e11)))); [ zenon_intro zenon_H237 | zenon_intro zenon_H238 ].
% 83.55/83.79 cut (((op1 (e13) (e11)) = (op1 (e13) (e11))) = ((op1 (op1 (e11) (e10)) (e11)) = (op1 (e13) (e11)))).
% 83.55/83.79 intro zenon_D_pnotp.
% 83.55/83.79 apply zenon_H314.
% 83.55/83.79 rewrite <- zenon_D_pnotp.
% 83.55/83.79 exact zenon_H237.
% 83.55/83.79 cut (((op1 (e13) (e11)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H238].
% 83.55/83.79 cut (((op1 (e13) (e11)) = (op1 (op1 (e11) (e10)) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H313].
% 83.55/83.79 congruence.
% 83.55/83.79 apply (zenon_L245_); trivial.
% 83.55/83.79 apply zenon_H238. apply refl_equal.
% 83.55/83.79 apply zenon_H238. apply refl_equal.
% 83.55/83.79 apply zenon_H261. apply sym_equal. exact zenon_H181.
% 83.55/83.79 apply zenon_H238. apply refl_equal.
% 83.55/83.79 apply zenon_H238. apply refl_equal.
% 83.55/83.79 (* end of lemma zenon_L246_ *)
% 83.55/83.79 assert (zenon_L247_ : (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e10)) = (e10)) -> ((op1 (e13) (e11)) = (e10)) -> False).
% 83.55/83.79 do 0 intro. intros zenon_H1bf zenon_H194 zenon_H197.
% 83.55/83.79 cut (((op1 (e13) (e10)) = (e10)) = ((op1 (e13) (e10)) = (op1 (e13) (e11)))).
% 83.55/83.79 intro zenon_D_pnotp.
% 83.55/83.79 apply zenon_H1bf.
% 83.55/83.79 rewrite <- zenon_D_pnotp.
% 83.55/83.79 exact zenon_H194.
% 83.55/83.79 cut (((e10) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H307].
% 83.55/83.79 cut (((op1 (e13) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H16f].
% 83.55/83.79 congruence.
% 83.55/83.79 apply zenon_H16f. apply refl_equal.
% 83.55/83.79 apply zenon_H307. apply sym_equal. exact zenon_H197.
% 83.55/83.79 (* end of lemma zenon_L247_ *)
% 83.55/83.79 assert (zenon_L248_ : ((~((op1 (e11) (op1 (e11) (e10))) = (e10)))/\(((op1 (op1 (e11) (e10)) (e11)) = (e10))/\(~((op1 (op1 (e11) (e10)) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e11) = (e12))) -> ((e12) = (op1 (e10) (e10))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((e10) = (e11))) -> False).
% 83.55/83.79 do 0 intro. intros zenon_H315 zenon_H61 zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H50 zenon_H45 zenon_H56 zenon_H220 zenon_H3f zenon_H236 zenon_H230 zenon_H229 zenon_H1f3 zenon_H2e zenon_H2c zenon_H200 zenon_H1ee zenon_H1c8 zenon_H25 zenon_H316 zenon_H282 zenon_H1bf zenon_H16 zenon_H17 zenon_H14 zenon_H1f5 zenon_H163.
% 83.55/83.79 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_H308. zenon_intro zenon_H317.
% 83.55/83.79 apply (zenon_and_s _ _ zenon_H317). zenon_intro zenon_H305. zenon_intro zenon_H30e.
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ].
% 83.55/83.79 apply (zenon_L11_); trivial.
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ].
% 83.55/83.79 apply (zenon_L20_); trivial.
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ].
% 83.55/83.79 apply (zenon_L22_); trivial.
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ].
% 83.55/83.79 apply (zenon_L11_); trivial.
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ].
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H43 | zenon_intro zenon_H1ca ].
% 83.55/83.79 apply (zenon_L12_); trivial.
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H177 | zenon_intro zenon_H1cb ].
% 83.55/83.79 apply (zenon_L241_); trivial.
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H181 | zenon_intro zenon_H197 ].
% 83.55/83.79 cut (((op1 (op1 (e11) (e10)) (e11)) = (e10)) = ((op1 (e10) (e11)) = (op1 (e12) (e11)))).
% 83.55/83.79 intro zenon_D_pnotp.
% 83.55/83.79 apply zenon_H230.
% 83.55/83.79 rewrite <- zenon_D_pnotp.
% 83.55/83.79 exact zenon_H305.
% 83.55/83.79 cut (((e10) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H261].
% 83.55/83.79 cut (((op1 (op1 (e11) (e10)) (e11)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H306].
% 83.55/83.79 congruence.
% 83.55/83.79 elim (classic ((op1 (e10) (e11)) = (op1 (e10) (e11)))); [ zenon_intro zenon_H36 | zenon_intro zenon_H37 ].
% 83.55/83.79 cut (((op1 (e10) (e11)) = (op1 (e10) (e11))) = ((op1 (op1 (e11) (e10)) (e11)) = (op1 (e10) (e11)))).
% 83.55/83.79 intro zenon_D_pnotp.
% 83.55/83.79 apply zenon_H306.
% 83.55/83.79 rewrite <- zenon_D_pnotp.
% 83.55/83.79 exact zenon_H36.
% 83.55/83.79 cut (((op1 (e10) (e11)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H37].
% 83.55/83.79 cut (((op1 (e10) (e11)) = (op1 (op1 (e11) (e10)) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H303].
% 83.55/83.79 congruence.
% 83.55/83.79 apply (zenon_L240_); trivial.
% 83.55/83.79 apply zenon_H37. apply refl_equal.
% 83.55/83.79 apply zenon_H37. apply refl_equal.
% 83.55/83.79 apply zenon_H261. apply sym_equal. exact zenon_H181.
% 83.55/83.79 apply (zenon_L242_); trivial.
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ].
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H2d | zenon_intro zenon_H1f6 ].
% 83.55/83.79 apply (zenon_L7_); trivial.
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H162 | zenon_intro zenon_H1f7 ].
% 83.55/83.79 apply (zenon_L243_); trivial.
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H16c | zenon_intro zenon_H195 ].
% 83.55/83.79 apply (zenon_L179_); trivial.
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H18 | zenon_intro zenon_H1f8 ].
% 83.55/83.79 apply (zenon_L3_); trivial.
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1f9 ].
% 83.55/83.79 apply (zenon_L244_); trivial.
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1d9 | zenon_intro zenon_H1ed ].
% 83.55/83.79 apply (zenon_L131_); trivial.
% 83.55/83.79 apply (zenon_L128_); trivial.
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H2d | zenon_intro zenon_H1f6 ].
% 83.55/83.79 apply (zenon_L7_); trivial.
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H162 | zenon_intro zenon_H1f7 ].
% 83.55/83.79 apply (zenon_L243_); trivial.
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H16c | zenon_intro zenon_H195 ].
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H18 | zenon_intro zenon_H1f8 ].
% 83.55/83.79 apply (zenon_L3_); trivial.
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1f9 ].
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H43 | zenon_intro zenon_H1ca ].
% 83.55/83.79 apply (zenon_L12_); trivial.
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H177 | zenon_intro zenon_H1cb ].
% 83.55/83.79 elim (classic ((op1 (e13) (e11)) = (op1 (e13) (e11)))); [ zenon_intro zenon_H237 | zenon_intro zenon_H238 ].
% 83.55/83.79 cut (((op1 (e13) (e11)) = (op1 (e13) (e11))) = ((op1 (e11) (e11)) = (op1 (e13) (e11)))).
% 83.55/83.79 intro zenon_D_pnotp.
% 83.55/83.79 apply zenon_H316.
% 83.55/83.79 rewrite <- zenon_D_pnotp.
% 83.55/83.79 exact zenon_H237.
% 83.55/83.79 cut (((op1 (e13) (e11)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H238].
% 83.55/83.79 cut (((op1 (e13) (e11)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H318].
% 83.55/83.79 congruence.
% 83.55/83.79 cut (((op1 (op1 (e11) (e10)) (e11)) = (e10)) = ((op1 (e13) (e11)) = (op1 (e11) (e11)))).
% 83.55/83.79 intro zenon_D_pnotp.
% 83.55/83.79 apply zenon_H318.
% 83.55/83.79 rewrite <- zenon_D_pnotp.
% 83.55/83.79 exact zenon_H305.
% 83.55/83.79 cut (((e10) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H178].
% 83.55/83.79 cut (((op1 (op1 (e11) (e10)) (e11)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H314].
% 83.55/83.79 congruence.
% 83.55/83.79 elim (classic ((op1 (e13) (e11)) = (op1 (e13) (e11)))); [ zenon_intro zenon_H237 | zenon_intro zenon_H238 ].
% 83.55/83.79 cut (((op1 (e13) (e11)) = (op1 (e13) (e11))) = ((op1 (op1 (e11) (e10)) (e11)) = (op1 (e13) (e11)))).
% 83.55/83.79 intro zenon_D_pnotp.
% 83.55/83.79 apply zenon_H314.
% 83.55/83.79 rewrite <- zenon_D_pnotp.
% 83.55/83.79 exact zenon_H237.
% 83.55/83.79 cut (((op1 (e13) (e11)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H238].
% 83.55/83.79 cut (((op1 (e13) (e11)) = (op1 (op1 (e11) (e10)) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H313].
% 83.55/83.79 congruence.
% 83.55/83.79 apply (zenon_L245_); trivial.
% 83.55/83.79 apply zenon_H238. apply refl_equal.
% 83.55/83.79 apply zenon_H238. apply refl_equal.
% 83.55/83.79 apply zenon_H178. apply sym_equal. exact zenon_H177.
% 83.55/83.79 apply zenon_H238. apply refl_equal.
% 83.55/83.79 apply zenon_H238. apply refl_equal.
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H181 | zenon_intro zenon_H197 ].
% 83.55/83.79 apply (zenon_L246_); trivial.
% 83.55/83.79 apply (zenon_L247_); trivial.
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1d9 | zenon_intro zenon_H1ed ].
% 83.55/83.79 apply (zenon_L234_); trivial.
% 83.55/83.79 apply (zenon_L238_); trivial.
% 83.55/83.79 apply (zenon_L102_); trivial.
% 83.55/83.79 (* end of lemma zenon_L248_ *)
% 83.55/83.79 assert (zenon_L249_ : ((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\(((op1 (op1 (e11) (e11)) (e11)) = (e11))/\(~((op1 (op1 (e11) (e11)) (e11)) = (e11))))) -> False).
% 83.55/83.79 do 0 intro. intros zenon_H319.
% 83.55/83.79 apply (zenon_and_s _ _ zenon_H319). zenon_intro zenon_H266. zenon_intro zenon_H31a.
% 83.55/83.79 apply (zenon_and_s _ _ zenon_H31a). zenon_intro zenon_H31c. zenon_intro zenon_H31b.
% 83.55/83.79 exact (zenon_H31b zenon_H31c).
% 83.55/83.79 (* end of lemma zenon_L249_ *)
% 83.55/83.79 assert (zenon_L250_ : ((e12) = (op1 (e10) (e10))) -> ((op1 (e10) (e12)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> False).
% 83.55/83.79 do 0 intro. intros zenon_H2c zenon_H31d zenon_H31e.
% 83.55/83.79 elim (classic ((op1 (e10) (e12)) = (op1 (e10) (e12)))); [ zenon_intro zenon_H1f | zenon_intro zenon_H20 ].
% 83.55/83.79 cut (((op1 (e10) (e12)) = (op1 (e10) (e12))) = ((op1 (e10) (e10)) = (op1 (e10) (e12)))).
% 83.55/83.79 intro zenon_D_pnotp.
% 83.55/83.79 apply zenon_H31e.
% 83.55/83.79 rewrite <- zenon_D_pnotp.
% 83.55/83.79 exact zenon_H1f.
% 83.55/83.79 cut (((op1 (e10) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H20].
% 83.55/83.79 cut (((op1 (e10) (e12)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H31f].
% 83.55/83.79 congruence.
% 83.55/83.79 cut (((e12) = (op1 (e10) (e10))) = ((op1 (e10) (e12)) = (op1 (e10) (e10)))).
% 83.55/83.79 intro zenon_D_pnotp.
% 83.55/83.79 apply zenon_H31f.
% 83.55/83.79 rewrite <- zenon_D_pnotp.
% 83.55/83.79 exact zenon_H2c.
% 83.55/83.79 cut (((op1 (e10) (e10)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H1b].
% 83.55/83.79 cut (((e12) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H320].
% 83.55/83.79 congruence.
% 83.55/83.79 elim (classic ((op1 (e10) (e12)) = (op1 (e10) (e12)))); [ zenon_intro zenon_H1f | zenon_intro zenon_H20 ].
% 83.55/83.79 cut (((op1 (e10) (e12)) = (op1 (e10) (e12))) = ((e12) = (op1 (e10) (e12)))).
% 83.55/83.79 intro zenon_D_pnotp.
% 83.55/83.79 apply zenon_H320.
% 83.55/83.79 rewrite <- zenon_D_pnotp.
% 83.55/83.79 exact zenon_H1f.
% 83.55/83.79 cut (((op1 (e10) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H20].
% 83.55/83.79 cut (((op1 (e10) (e12)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H321].
% 83.55/83.79 congruence.
% 83.55/83.79 exact (zenon_H321 zenon_H31d).
% 83.55/83.79 apply zenon_H20. apply refl_equal.
% 83.55/83.79 apply zenon_H20. apply refl_equal.
% 83.55/83.79 apply zenon_H1b. apply refl_equal.
% 83.55/83.79 apply zenon_H20. apply refl_equal.
% 83.55/83.79 apply zenon_H20. apply refl_equal.
% 83.55/83.79 (* end of lemma zenon_L250_ *)
% 83.55/83.79 assert (zenon_L251_ : (~((op1 (e11) (op1 (e11) (e12))) = (e12))) -> ((op1 (e11) (e12)) = (e12)) -> False).
% 83.55/83.79 do 0 intro. intros zenon_H322 zenon_H1a6.
% 83.55/83.79 cut (((op1 (e11) (e12)) = (e12)) = ((op1 (e11) (op1 (e11) (e12))) = (e12))).
% 83.55/83.79 intro zenon_D_pnotp.
% 83.55/83.79 apply zenon_H322.
% 83.55/83.79 rewrite <- zenon_D_pnotp.
% 83.55/83.79 exact zenon_H1a6.
% 83.55/83.79 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2b].
% 83.55/83.79 cut (((op1 (e11) (e12)) = (op1 (e11) (op1 (e11) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H273].
% 83.55/83.79 congruence.
% 83.55/83.79 elim (classic ((op1 (e11) (op1 (e11) (e12))) = (op1 (e11) (op1 (e11) (e12))))); [ zenon_intro zenon_H323 | zenon_intro zenon_H324 ].
% 83.55/83.79 cut (((op1 (e11) (op1 (e11) (e12))) = (op1 (e11) (op1 (e11) (e12)))) = ((op1 (e11) (e12)) = (op1 (e11) (op1 (e11) (e12))))).
% 83.55/83.79 intro zenon_D_pnotp.
% 83.55/83.79 apply zenon_H273.
% 83.55/83.79 rewrite <- zenon_D_pnotp.
% 83.55/83.79 exact zenon_H323.
% 83.55/83.79 cut (((op1 (e11) (op1 (e11) (e12))) = (op1 (e11) (op1 (e11) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H324].
% 83.55/83.79 cut (((op1 (e11) (op1 (e11) (e12))) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H325].
% 83.55/83.79 congruence.
% 83.55/83.79 cut (((op1 (e11) (e12)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2a3].
% 83.55/83.79 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H165].
% 83.55/83.79 congruence.
% 83.55/83.79 apply zenon_H165. apply refl_equal.
% 83.55/83.79 exact (zenon_H2a3 zenon_H1a6).
% 83.55/83.79 apply zenon_H324. apply refl_equal.
% 83.55/83.79 apply zenon_H324. apply refl_equal.
% 83.55/83.79 apply zenon_H2b. apply refl_equal.
% 83.55/83.79 (* end of lemma zenon_L251_ *)
% 83.55/83.79 assert (zenon_L252_ : ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e12) = (op1 (e10) (e10))) -> ((op1 (e11) (e12)) = (e10)) -> (~((op1 (op1 (e11) (e12)) (e12)) = (e11))) -> False).
% 83.55/83.79 do 0 intro. intros zenon_H14 zenon_H2c zenon_H19b zenon_H326.
% 83.55/83.79 elim (classic ((e11) = (e11))); [ zenon_intro zenon_H164 | zenon_intro zenon_H165 ].
% 83.55/83.79 cut (((e11) = (e11)) = ((op1 (op1 (e11) (e12)) (e12)) = (e11))).
% 83.55/83.79 intro zenon_D_pnotp.
% 83.55/83.79 apply zenon_H326.
% 83.55/83.79 rewrite <- zenon_D_pnotp.
% 83.55/83.79 exact zenon_H164.
% 83.55/83.79 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H165].
% 83.55/83.79 cut (((e11) = (op1 (op1 (e11) (e12)) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H327].
% 83.55/83.79 congruence.
% 83.55/83.79 cut (((e11) = (op1 (e10) (op1 (e10) (e10)))) = ((e11) = (op1 (op1 (e11) (e12)) (e12)))).
% 83.55/83.79 intro zenon_D_pnotp.
% 83.55/83.79 apply zenon_H327.
% 83.55/83.79 rewrite <- zenon_D_pnotp.
% 83.55/83.79 exact zenon_H14.
% 83.55/83.79 cut (((op1 (e10) (op1 (e10) (e10))) = (op1 (op1 (e11) (e12)) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H328].
% 83.55/83.79 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H165].
% 83.55/83.79 congruence.
% 83.55/83.79 apply zenon_H165. apply refl_equal.
% 83.55/83.79 cut (((op1 (e10) (e10)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H33].
% 83.55/83.79 cut (((e10) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H329].
% 83.55/83.79 congruence.
% 83.55/83.79 apply zenon_H329. apply sym_equal. exact zenon_H19b.
% 83.55/83.79 apply zenon_H33. apply sym_equal. exact zenon_H2c.
% 83.55/83.79 apply zenon_H165. apply refl_equal.
% 83.55/83.79 apply zenon_H165. apply refl_equal.
% 83.55/83.79 (* end of lemma zenon_L252_ *)
% 83.55/83.79 assert (zenon_L253_ : (~((op1 (e13) (e11)) = (op1 (op1 (e11) (e12)) (e11)))) -> ((op1 (e11) (e12)) = (e13)) -> False).
% 83.55/83.79 do 0 intro. intros zenon_H32a zenon_H1ab.
% 83.55/83.79 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H165].
% 83.55/83.79 cut (((e13) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1ac].
% 83.55/83.79 congruence.
% 83.55/83.79 apply zenon_H1ac. apply sym_equal. exact zenon_H1ab.
% 83.55/83.79 apply zenon_H165. apply refl_equal.
% 83.55/83.79 (* end of lemma zenon_L253_ *)
% 83.55/83.79 assert (zenon_L254_ : (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (op1 (e11) (e12)) (e11)) = (e12)) -> ((op1 (e11) (e12)) = (e13)) -> ((op1 (e13) (e12)) = (e12)) -> False).
% 83.55/83.79 do 0 intro. intros zenon_H32b zenon_H32c zenon_H1ab zenon_H32d.
% 83.55/83.79 cut (((op1 (op1 (e11) (e12)) (e11)) = (e12)) = ((op1 (e13) (e11)) = (op1 (e13) (e12)))).
% 83.55/83.79 intro zenon_D_pnotp.
% 83.55/83.79 apply zenon_H32b.
% 83.55/83.79 rewrite <- zenon_D_pnotp.
% 83.55/83.79 exact zenon_H32c.
% 83.55/83.79 cut (((e12) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H32e].
% 83.55/83.79 cut (((op1 (op1 (e11) (e12)) (e11)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H32f].
% 83.55/83.79 congruence.
% 83.55/83.79 elim (classic ((op1 (e13) (e11)) = (op1 (e13) (e11)))); [ zenon_intro zenon_H237 | zenon_intro zenon_H238 ].
% 83.55/83.79 cut (((op1 (e13) (e11)) = (op1 (e13) (e11))) = ((op1 (op1 (e11) (e12)) (e11)) = (op1 (e13) (e11)))).
% 83.55/83.79 intro zenon_D_pnotp.
% 83.55/83.79 apply zenon_H32f.
% 83.55/83.79 rewrite <- zenon_D_pnotp.
% 83.55/83.79 exact zenon_H237.
% 83.55/83.79 cut (((op1 (e13) (e11)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H238].
% 83.55/83.79 cut (((op1 (e13) (e11)) = (op1 (op1 (e11) (e12)) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H32a].
% 83.55/83.79 congruence.
% 83.55/83.79 apply (zenon_L253_); trivial.
% 83.55/83.79 apply zenon_H238. apply refl_equal.
% 83.55/83.79 apply zenon_H238. apply refl_equal.
% 83.55/83.79 apply zenon_H32e. apply sym_equal. exact zenon_H32d.
% 83.55/83.79 (* end of lemma zenon_L254_ *)
% 83.55/83.79 assert (zenon_L255_ : (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (op1 (e11) (e12)) (e12)) = (e11))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e11) (op1 (e11) (e12))) = (e12))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (op1 (e11) (e12)) (e11)) = (e12)) -> ((op1 (e13) (e12)) = (e12)) -> False).
% 83.55/83.79 do 0 intro. intros zenon_H1ad zenon_H326 zenon_H1a0 zenon_H2c zenon_H14 zenon_H322 zenon_H32b zenon_H32c zenon_H32d.
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H1ad); [ zenon_intro zenon_H19b | zenon_intro zenon_H1ae ].
% 83.55/83.79 apply (zenon_L252_); trivial.
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H19f | zenon_intro zenon_H1af ].
% 83.55/83.79 apply (zenon_L105_); trivial.
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1ab ].
% 83.55/83.79 apply (zenon_L251_); trivial.
% 83.55/83.79 apply (zenon_L254_); trivial.
% 83.55/83.79 (* end of lemma zenon_L255_ *)
% 83.55/83.79 assert (zenon_L256_ : (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e11) (e11)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (op1 (e11) (e12)) (e12)) = (e11))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e11) (op1 (e11) (e12))) = (e12))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (op1 (e11) (e12)) (e11)) = (e12)) -> False).
% 83.55/83.79 do 0 intro. intros zenon_H330 zenon_H31e zenon_H316 zenon_H17f zenon_H1a5 zenon_H1ad zenon_H326 zenon_H1a0 zenon_H2c zenon_H14 zenon_H322 zenon_H32b zenon_H32c.
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_H31d | zenon_intro zenon_H331 ].
% 83.55/83.79 apply (zenon_L250_); trivial.
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H331); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H332 ].
% 83.55/83.79 apply (zenon_L251_); trivial.
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H32d ].
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H1ad); [ zenon_intro zenon_H19b | zenon_intro zenon_H1ae ].
% 83.55/83.79 apply (zenon_L252_); trivial.
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H19f | zenon_intro zenon_H1af ].
% 83.55/83.79 apply (zenon_L105_); trivial.
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1ab ].
% 83.55/83.79 apply (zenon_L106_); trivial.
% 83.55/83.79 elim (classic ((op1 (e13) (e11)) = (op1 (e13) (e11)))); [ zenon_intro zenon_H237 | zenon_intro zenon_H238 ].
% 83.55/83.79 cut (((op1 (e13) (e11)) = (op1 (e13) (e11))) = ((op1 (e11) (e11)) = (op1 (e13) (e11)))).
% 83.55/83.79 intro zenon_D_pnotp.
% 83.55/83.79 apply zenon_H316.
% 83.55/83.79 rewrite <- zenon_D_pnotp.
% 83.55/83.79 exact zenon_H237.
% 83.55/83.79 cut (((op1 (e13) (e11)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H238].
% 83.55/83.79 cut (((op1 (e13) (e11)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H318].
% 83.55/83.79 congruence.
% 83.55/83.79 cut (((op1 (op1 (e11) (e12)) (e11)) = (e12)) = ((op1 (e13) (e11)) = (op1 (e11) (e11)))).
% 83.55/83.79 intro zenon_D_pnotp.
% 83.55/83.79 apply zenon_H318.
% 83.55/83.79 rewrite <- zenon_D_pnotp.
% 83.55/83.79 exact zenon_H32c.
% 83.55/83.79 cut (((e12) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H2f0].
% 83.55/83.79 cut (((op1 (op1 (e11) (e12)) (e11)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H32f].
% 83.55/83.79 congruence.
% 83.55/83.79 elim (classic ((op1 (e13) (e11)) = (op1 (e13) (e11)))); [ zenon_intro zenon_H237 | zenon_intro zenon_H238 ].
% 83.55/83.79 cut (((op1 (e13) (e11)) = (op1 (e13) (e11))) = ((op1 (op1 (e11) (e12)) (e11)) = (op1 (e13) (e11)))).
% 83.55/83.79 intro zenon_D_pnotp.
% 83.55/83.79 apply zenon_H32f.
% 83.55/83.79 rewrite <- zenon_D_pnotp.
% 83.55/83.79 exact zenon_H237.
% 83.55/83.79 cut (((op1 (e13) (e11)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H238].
% 83.55/83.79 cut (((op1 (e13) (e11)) = (op1 (op1 (e11) (e12)) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H32a].
% 83.55/83.79 congruence.
% 83.55/83.79 apply (zenon_L253_); trivial.
% 83.55/83.79 apply zenon_H238. apply refl_equal.
% 83.55/83.79 apply zenon_H238. apply refl_equal.
% 83.55/83.79 apply zenon_H2f0. apply sym_equal. exact zenon_H17f.
% 83.55/83.79 apply zenon_H238. apply refl_equal.
% 83.55/83.79 apply zenon_H238. apply refl_equal.
% 83.55/83.79 apply (zenon_L255_); trivial.
% 83.55/83.79 (* end of lemma zenon_L256_ *)
% 83.55/83.79 assert (zenon_L257_ : (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (op1 (e11) (e12)) (e12)) = (e11))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e11) (op1 (e11) (e12))) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e10)) = (e13)) -> False).
% 83.55/83.79 do 0 intro. intros zenon_H1ad zenon_H326 zenon_H1a0 zenon_H2c zenon_H14 zenon_H322 zenon_H1a9 zenon_H1aa.
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H1ad); [ zenon_intro zenon_H19b | zenon_intro zenon_H1ae ].
% 83.55/83.79 apply (zenon_L252_); trivial.
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H19f | zenon_intro zenon_H1af ].
% 83.55/83.79 apply (zenon_L105_); trivial.
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1ab ].
% 83.55/83.79 apply (zenon_L251_); trivial.
% 83.55/83.79 apply (zenon_L107_); trivial.
% 83.55/83.79 (* end of lemma zenon_L257_ *)
% 83.55/83.79 assert (zenon_L258_ : ((~((op1 (e11) (op1 (e11) (e12))) = (e12)))/\(((op1 (op1 (e11) (e12)) (e11)) = (e12))/\(~((op1 (op1 (e11) (e12)) (e12)) = (e11))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((e12) = (e13))) -> False).
% 83.55/83.79 do 0 intro. intros zenon_H333 zenon_H1e8 zenon_H1cf zenon_H32b zenon_H1a5 zenon_H316 zenon_H31e zenon_H330 zenon_H25d zenon_H1a9 zenon_H2c zenon_H1a0 zenon_H1ad zenon_H229 zenon_H14 zenon_H17 zenon_H25a.
% 83.55/83.79 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H322. zenon_intro zenon_H334.
% 83.55/83.79 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H32c. zenon_intro zenon_H326.
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1ce | zenon_intro zenon_H1e9 ].
% 83.55/83.79 apply (zenon_L116_); trivial.
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H17f | zenon_intro zenon_H1ea ].
% 83.55/83.79 apply (zenon_L256_); trivial.
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1e5 ].
% 83.55/83.79 apply (zenon_L251_); trivial.
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H1aa | zenon_intro zenon_H25e ].
% 83.55/83.79 apply (zenon_L257_); trivial.
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H228 | zenon_intro zenon_H25f ].
% 83.55/83.79 apply (zenon_L147_); trivial.
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H25f); [ zenon_intro zenon_H1ab | zenon_intro zenon_H259 ].
% 83.55/83.79 cut (((op1 (e11) (e13)) = (e12)) = ((op1 (e11) (op1 (e11) (e12))) = (e12))).
% 83.55/83.79 intro zenon_D_pnotp.
% 83.55/83.79 apply zenon_H322.
% 83.55/83.79 rewrite <- zenon_D_pnotp.
% 83.55/83.79 exact zenon_H1e5.
% 83.55/83.79 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2b].
% 83.55/83.79 cut (((op1 (e11) (e13)) = (op1 (e11) (op1 (e11) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H335].
% 83.55/83.79 congruence.
% 83.55/83.79 elim (classic ((op1 (e11) (op1 (e11) (e12))) = (op1 (e11) (op1 (e11) (e12))))); [ zenon_intro zenon_H323 | zenon_intro zenon_H324 ].
% 83.55/83.79 cut (((op1 (e11) (op1 (e11) (e12))) = (op1 (e11) (op1 (e11) (e12)))) = ((op1 (e11) (e13)) = (op1 (e11) (op1 (e11) (e12))))).
% 83.55/83.79 intro zenon_D_pnotp.
% 83.55/83.79 apply zenon_H335.
% 83.55/83.79 rewrite <- zenon_D_pnotp.
% 83.55/83.79 exact zenon_H323.
% 83.55/83.79 cut (((op1 (e11) (op1 (e11) (e12))) = (op1 (e11) (op1 (e11) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H324].
% 83.55/83.79 cut (((op1 (e11) (op1 (e11) (e12))) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H336].
% 83.55/83.79 congruence.
% 83.55/83.79 cut (((op1 (e11) (e12)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H251].
% 83.55/83.79 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H165].
% 83.55/83.79 congruence.
% 83.55/83.79 apply zenon_H165. apply refl_equal.
% 83.55/83.79 exact (zenon_H251 zenon_H1ab).
% 83.55/83.79 apply zenon_H324. apply refl_equal.
% 83.55/83.79 apply zenon_H324. apply refl_equal.
% 83.55/83.79 apply zenon_H2b. apply refl_equal.
% 83.55/83.79 apply (zenon_L162_); trivial.
% 83.55/83.79 (* end of lemma zenon_L258_ *)
% 83.55/83.79 assert (zenon_L259_ : (~((op1 (e12) (e11)) = (op1 (op1 (e11) (e13)) (e11)))) -> ((op1 (e11) (e13)) = (e12)) -> False).
% 83.55/83.79 do 0 intro. intros zenon_H337 zenon_H1e5.
% 83.55/83.79 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H165].
% 83.55/83.79 cut (((e12) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2f7].
% 83.55/83.79 congruence.
% 83.55/83.79 apply zenon_H2f7. apply sym_equal. exact zenon_H1e5.
% 83.55/83.79 apply zenon_H165. apply refl_equal.
% 83.55/83.79 (* end of lemma zenon_L259_ *)
% 83.55/83.79 assert (zenon_L260_ : ((op1 (op1 (e11) (e13)) (e11)) = (e13)) -> ((op1 (e11) (e13)) = (e12)) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> False).
% 83.55/83.79 do 0 intro. intros zenon_H338 zenon_H1e5 zenon_H169 zenon_H230.
% 83.55/83.79 elim (classic ((op1 (e12) (e11)) = (op1 (e12) (e11)))); [ zenon_intro zenon_H231 | zenon_intro zenon_H1d7 ].
% 83.55/83.79 cut (((op1 (e12) (e11)) = (op1 (e12) (e11))) = ((op1 (e10) (e11)) = (op1 (e12) (e11)))).
% 83.55/83.79 intro zenon_D_pnotp.
% 83.55/83.79 apply zenon_H230.
% 83.55/83.79 rewrite <- zenon_D_pnotp.
% 83.55/83.79 exact zenon_H231.
% 83.55/83.79 cut (((op1 (e12) (e11)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H1d7].
% 83.55/83.79 cut (((op1 (e12) (e11)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H232].
% 83.55/83.79 congruence.
% 83.55/83.79 cut (((op1 (op1 (e11) (e13)) (e11)) = (e13)) = ((op1 (e12) (e11)) = (op1 (e10) (e11)))).
% 83.55/83.79 intro zenon_D_pnotp.
% 83.55/83.79 apply zenon_H232.
% 83.55/83.79 rewrite <- zenon_D_pnotp.
% 83.55/83.79 exact zenon_H338.
% 83.55/83.79 cut (((e13) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H16a].
% 83.55/83.79 cut (((op1 (op1 (e11) (e13)) (e11)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H339].
% 83.55/83.79 congruence.
% 83.55/83.79 elim (classic ((op1 (e12) (e11)) = (op1 (e12) (e11)))); [ zenon_intro zenon_H231 | zenon_intro zenon_H1d7 ].
% 83.55/83.79 cut (((op1 (e12) (e11)) = (op1 (e12) (e11))) = ((op1 (op1 (e11) (e13)) (e11)) = (op1 (e12) (e11)))).
% 83.55/83.79 intro zenon_D_pnotp.
% 83.55/83.79 apply zenon_H339.
% 83.55/83.79 rewrite <- zenon_D_pnotp.
% 83.55/83.79 exact zenon_H231.
% 83.55/83.79 cut (((op1 (e12) (e11)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H1d7].
% 83.55/83.79 cut (((op1 (e12) (e11)) = (op1 (op1 (e11) (e13)) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H337].
% 83.55/83.79 congruence.
% 83.55/83.79 apply (zenon_L259_); trivial.
% 83.55/83.79 apply zenon_H1d7. apply refl_equal.
% 83.55/83.79 apply zenon_H1d7. apply refl_equal.
% 83.55/83.79 apply zenon_H16a. apply sym_equal. exact zenon_H169.
% 83.55/83.79 apply zenon_H1d7. apply refl_equal.
% 83.55/83.79 apply zenon_H1d7. apply refl_equal.
% 83.55/83.79 (* end of lemma zenon_L260_ *)
% 83.55/83.79 assert (zenon_L261_ : ((op1 (op1 (e11) (e13)) (e11)) = (e13)) -> ((op1 (e11) (e13)) = (e11)) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> False).
% 83.55/83.79 do 0 intro. intros zenon_H338 zenon_H1eb zenon_H169 zenon_H229.
% 83.55/83.79 elim (classic ((op1 (e11) (e11)) = (op1 (e11) (e11)))); [ zenon_intro zenon_H22a | zenon_intro zenon_H22b ].
% 83.55/83.79 cut (((op1 (e11) (e11)) = (op1 (e11) (e11))) = ((op1 (e10) (e11)) = (op1 (e11) (e11)))).
% 83.55/83.79 intro zenon_D_pnotp.
% 83.55/83.79 apply zenon_H229.
% 83.55/83.79 rewrite <- zenon_D_pnotp.
% 83.55/83.79 exact zenon_H22a.
% 83.55/83.79 cut (((op1 (e11) (e11)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H22b].
% 83.55/83.79 cut (((op1 (e11) (e11)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H22c].
% 83.55/83.79 congruence.
% 83.55/83.79 cut (((op1 (op1 (e11) (e13)) (e11)) = (e13)) = ((op1 (e11) (e11)) = (op1 (e10) (e11)))).
% 83.55/83.79 intro zenon_D_pnotp.
% 83.55/83.79 apply zenon_H22c.
% 83.55/83.79 rewrite <- zenon_D_pnotp.
% 83.55/83.79 exact zenon_H338.
% 83.55/83.79 cut (((e13) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H16a].
% 83.55/83.79 cut (((op1 (op1 (e11) (e13)) (e11)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H33a].
% 83.55/83.79 congruence.
% 83.55/83.79 elim (classic ((op1 (e11) (e11)) = (op1 (e11) (e11)))); [ zenon_intro zenon_H22a | zenon_intro zenon_H22b ].
% 83.55/83.79 cut (((op1 (e11) (e11)) = (op1 (e11) (e11))) = ((op1 (op1 (e11) (e13)) (e11)) = (op1 (e11) (e11)))).
% 83.55/83.79 intro zenon_D_pnotp.
% 83.55/83.79 apply zenon_H33a.
% 83.55/83.79 rewrite <- zenon_D_pnotp.
% 83.55/83.79 exact zenon_H22a.
% 83.55/83.79 cut (((op1 (e11) (e11)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H22b].
% 83.55/83.79 cut (((op1 (e11) (e11)) = (op1 (op1 (e11) (e13)) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H33b].
% 83.55/83.79 congruence.
% 83.55/83.79 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H165].
% 83.55/83.79 cut (((e11) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H33c].
% 83.55/83.79 congruence.
% 83.55/83.79 apply zenon_H33c. apply sym_equal. exact zenon_H1eb.
% 83.55/83.79 apply zenon_H165. apply refl_equal.
% 83.55/83.79 apply zenon_H22b. apply refl_equal.
% 83.55/83.79 apply zenon_H22b. apply refl_equal.
% 83.55/83.79 apply zenon_H16a. apply sym_equal. exact zenon_H169.
% 83.55/83.79 apply zenon_H22b. apply refl_equal.
% 83.55/83.79 apply zenon_H22b. apply refl_equal.
% 83.55/83.79 (* end of lemma zenon_L261_ *)
% 83.55/83.79 assert (zenon_L262_ : (~((op1 (e13) (e11)) = (op1 (op1 (e11) (e13)) (e11)))) -> ((op1 (e11) (e13)) = (e13)) -> False).
% 83.55/83.79 do 0 intro. intros zenon_H33d zenon_H259.
% 83.55/83.79 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H165].
% 83.55/83.79 cut (((e13) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H33e].
% 83.55/83.79 congruence.
% 83.55/83.79 apply zenon_H33e. apply sym_equal. exact zenon_H259.
% 83.55/83.79 apply zenon_H165. apply refl_equal.
% 83.55/83.79 (* end of lemma zenon_L262_ *)
% 83.55/83.79 assert (zenon_L263_ : ((op1 (op1 (e11) (e13)) (e11)) = (e13)) -> ((op1 (e11) (e13)) = (e13)) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> False).
% 83.55/83.79 do 0 intro. intros zenon_H338 zenon_H259 zenon_H169 zenon_H236.
% 83.55/83.79 elim (classic ((op1 (e13) (e11)) = (op1 (e13) (e11)))); [ zenon_intro zenon_H237 | zenon_intro zenon_H238 ].
% 83.55/83.79 cut (((op1 (e13) (e11)) = (op1 (e13) (e11))) = ((op1 (e10) (e11)) = (op1 (e13) (e11)))).
% 83.55/83.79 intro zenon_D_pnotp.
% 83.55/83.79 apply zenon_H236.
% 83.55/83.79 rewrite <- zenon_D_pnotp.
% 83.55/83.79 exact zenon_H237.
% 83.55/83.79 cut (((op1 (e13) (e11)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H238].
% 83.55/83.79 cut (((op1 (e13) (e11)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H239].
% 83.55/83.79 congruence.
% 83.55/83.79 cut (((op1 (op1 (e11) (e13)) (e11)) = (e13)) = ((op1 (e13) (e11)) = (op1 (e10) (e11)))).
% 83.55/83.79 intro zenon_D_pnotp.
% 83.55/83.79 apply zenon_H239.
% 83.55/83.79 rewrite <- zenon_D_pnotp.
% 83.55/83.79 exact zenon_H338.
% 83.55/83.79 cut (((e13) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H16a].
% 83.55/83.79 cut (((op1 (op1 (e11) (e13)) (e11)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H33f].
% 83.55/83.79 congruence.
% 83.55/83.79 elim (classic ((op1 (e13) (e11)) = (op1 (e13) (e11)))); [ zenon_intro zenon_H237 | zenon_intro zenon_H238 ].
% 83.55/83.79 cut (((op1 (e13) (e11)) = (op1 (e13) (e11))) = ((op1 (op1 (e11) (e13)) (e11)) = (op1 (e13) (e11)))).
% 83.55/83.79 intro zenon_D_pnotp.
% 83.55/83.79 apply zenon_H33f.
% 83.55/83.79 rewrite <- zenon_D_pnotp.
% 83.55/83.79 exact zenon_H237.
% 83.55/83.79 cut (((op1 (e13) (e11)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H238].
% 83.55/83.79 cut (((op1 (e13) (e11)) = (op1 (op1 (e11) (e13)) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H33d].
% 83.55/83.79 congruence.
% 83.55/83.79 apply (zenon_L262_); trivial.
% 83.55/83.79 apply zenon_H238. apply refl_equal.
% 83.55/83.79 apply zenon_H238. apply refl_equal.
% 83.55/83.79 apply zenon_H16a. apply sym_equal. exact zenon_H169.
% 83.55/83.79 apply zenon_H238. apply refl_equal.
% 83.55/83.79 apply zenon_H238. apply refl_equal.
% 83.55/83.79 (* end of lemma zenon_L263_ *)
% 83.55/83.79 assert (zenon_L264_ : (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e12) (e13)) = (e12)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (op1 (e11) (e13)) (e11)) = (e13)) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> False).
% 83.55/83.79 do 0 intro. intros zenon_H340 zenon_H25 zenon_H14 zenon_H17 zenon_H2c zenon_H49 zenon_H3a zenon_H45 zenon_H4d zenon_H229 zenon_H1b4 zenon_H1e4 zenon_H338 zenon_H169 zenon_H236.
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H340); [ zenon_intro zenon_H46 | zenon_intro zenon_H341 ].
% 83.55/83.79 apply (zenon_L15_); trivial.
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H341); [ zenon_intro zenon_H1eb | zenon_intro zenon_H342 ].
% 83.55/83.79 apply (zenon_L261_); trivial.
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H342); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H259 ].
% 83.55/83.79 apply (zenon_L122_); trivial.
% 83.55/83.79 apply (zenon_L263_); trivial.
% 83.55/83.79 (* end of lemma zenon_L264_ *)
% 83.55/83.79 assert (zenon_L265_ : (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e12)) -> ((op1 (e13) (e13)) = (e12)) -> False).
% 83.55/83.79 do 0 intro. intros zenon_H343 zenon_H1e5 zenon_H2da.
% 83.55/83.79 cut (((op1 (e11) (e13)) = (e12)) = ((op1 (e11) (e13)) = (op1 (e13) (e13)))).
% 83.55/83.79 intro zenon_D_pnotp.
% 83.55/83.79 apply zenon_H343.
% 83.55/83.79 rewrite <- zenon_D_pnotp.
% 83.55/83.79 exact zenon_H1e5.
% 83.55/83.79 cut (((e12) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2db].
% 83.55/83.79 cut (((op1 (e11) (e13)) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H1e7].
% 83.55/83.79 congruence.
% 83.55/83.79 apply zenon_H1e7. apply refl_equal.
% 83.55/83.79 apply zenon_H2db. apply sym_equal. exact zenon_H2da.
% 83.55/83.79 (* end of lemma zenon_L265_ *)
% 83.55/83.79 assert (zenon_L266_ : (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e13) (e13)) = (e12)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e11) (e13)) (e11)) = (e13)) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> False).
% 83.55/83.79 do 0 intro. intros zenon_H340 zenon_H42 zenon_H45 zenon_H229 zenon_H2da zenon_H343 zenon_H338 zenon_H169 zenon_H236.
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H340); [ zenon_intro zenon_H46 | zenon_intro zenon_H341 ].
% 83.55/83.79 apply (zenon_L13_); trivial.
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H341); [ zenon_intro zenon_H1eb | zenon_intro zenon_H342 ].
% 83.55/83.79 apply (zenon_L261_); trivial.
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H342); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H259 ].
% 83.55/83.79 apply (zenon_L265_); trivial.
% 83.55/83.79 apply (zenon_L263_); trivial.
% 83.55/83.79 (* end of lemma zenon_L266_ *)
% 83.55/83.79 assert (zenon_L267_ : ((~((op1 (e11) (op1 (e11) (e13))) = (e13)))/\(((op1 (op1 (e11) (e13)) (e11)) = (e13))/\(~((op1 (op1 (e11) (e13)) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 83.55/83.79 do 0 intro. intros zenon_H344 zenon_H61 zenon_H3f zenon_H53 zenon_H50 zenon_H56 zenon_H173 zenon_H16 zenon_H236 zenon_H343 zenon_H229 zenon_H45 zenon_H340 zenon_H2c zenon_H49 zenon_H3a zenon_H4d zenon_H1e4 zenon_H230 zenon_H345 zenon_H1e zenon_H17 zenon_H14 zenon_H25.
% 83.55/83.79 apply (zenon_and_s _ _ zenon_H344). zenon_intro zenon_H347. zenon_intro zenon_H346.
% 83.55/83.79 apply (zenon_and_s _ _ zenon_H346). zenon_intro zenon_H338. zenon_intro zenon_H348.
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ].
% 83.55/83.79 apply (zenon_L11_); trivial.
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ].
% 83.55/83.79 apply (zenon_L20_); trivial.
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ].
% 83.55/83.79 apply (zenon_L22_); trivial.
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H18 | zenon_intro zenon_H174 ].
% 83.55/83.79 apply (zenon_L3_); trivial.
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H169 | zenon_intro zenon_H175 ].
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H345); [ zenon_intro zenon_H48 | zenon_intro zenon_H349 ].
% 83.55/83.79 apply (zenon_L14_); trivial.
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H349); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H34a ].
% 83.55/83.79 apply (zenon_L260_); trivial.
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H34a); [ zenon_intro zenon_H1b4 | zenon_intro zenon_H2da ].
% 83.55/83.79 apply (zenon_L264_); trivial.
% 83.55/83.79 apply (zenon_L266_); trivial.
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H24 ].
% 83.55/83.79 apply (zenon_L4_); trivial.
% 83.55/83.79 apply (zenon_L5_); trivial.
% 83.55/83.79 (* end of lemma zenon_L267_ *)
% 83.55/83.79 assert (zenon_L268_ : ((e12) = (op1 (e10) (e10))) -> ((op1 (e12) (e10)) = (e10)) -> (~((op1 (op1 (e12) (e10)) (e10)) = (e12))) -> False).
% 83.55/83.79 do 0 intro. intros zenon_H2c zenon_H1ff zenon_H34b.
% 83.55/83.79 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H2f | zenon_intro zenon_H2b ].
% 83.55/83.79 cut (((e12) = (e12)) = ((op1 (op1 (e12) (e10)) (e10)) = (e12))).
% 83.55/83.79 intro zenon_D_pnotp.
% 83.55/83.79 apply zenon_H34b.
% 83.55/83.79 rewrite <- zenon_D_pnotp.
% 83.55/83.79 exact zenon_H2f.
% 83.55/83.79 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2b].
% 83.55/83.79 cut (((e12) = (op1 (op1 (e12) (e10)) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H34c].
% 83.55/83.79 congruence.
% 83.55/83.79 cut (((e12) = (op1 (e10) (e10))) = ((e12) = (op1 (op1 (e12) (e10)) (e10)))).
% 83.55/83.79 intro zenon_D_pnotp.
% 83.55/83.79 apply zenon_H34c.
% 83.55/83.79 rewrite <- zenon_D_pnotp.
% 83.55/83.79 exact zenon_H2c.
% 83.55/83.79 cut (((op1 (e10) (e10)) = (op1 (op1 (e12) (e10)) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H34d].
% 83.55/83.79 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2b].
% 83.55/83.79 congruence.
% 83.55/83.79 apply zenon_H2b. apply refl_equal.
% 83.55/83.79 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H12].
% 83.55/83.79 cut (((e10) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H34e].
% 83.55/83.79 congruence.
% 83.55/83.79 apply zenon_H34e. apply sym_equal. exact zenon_H1ff.
% 83.55/83.79 apply zenon_H12. apply refl_equal.
% 83.55/83.79 apply zenon_H2b. apply refl_equal.
% 83.55/83.79 apply zenon_H2b. apply refl_equal.
% 83.55/83.79 (* end of lemma zenon_L268_ *)
% 83.55/83.79 assert (zenon_L269_ : (~((op1 (e12) (op1 (e12) (e10))) = (e10))) -> ((op1 (e12) (e11)) = (e10)) -> ((op1 (e12) (e10)) = (e11)) -> False).
% 83.55/83.79 do 0 intro. intros zenon_H34f zenon_H181 zenon_H16c.
% 83.55/83.79 cut (((op1 (e12) (e11)) = (e10)) = ((op1 (e12) (op1 (e12) (e10))) = (e10))).
% 83.55/83.79 intro zenon_D_pnotp.
% 83.55/83.79 apply zenon_H34f.
% 83.55/83.79 rewrite <- zenon_D_pnotp.
% 83.55/83.79 exact zenon_H181.
% 83.55/83.79 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H12].
% 83.55/83.79 cut (((op1 (e12) (e11)) = (op1 (e12) (op1 (e12) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H350].
% 83.55/83.79 congruence.
% 83.55/83.79 elim (classic ((op1 (e12) (op1 (e12) (e10))) = (op1 (e12) (op1 (e12) (e10))))); [ zenon_intro zenon_H351 | zenon_intro zenon_H352 ].
% 83.55/83.79 cut (((op1 (e12) (op1 (e12) (e10))) = (op1 (e12) (op1 (e12) (e10)))) = ((op1 (e12) (e11)) = (op1 (e12) (op1 (e12) (e10))))).
% 83.55/83.79 intro zenon_D_pnotp.
% 83.55/83.79 apply zenon_H350.
% 83.55/83.79 rewrite <- zenon_D_pnotp.
% 83.55/83.79 exact zenon_H351.
% 83.55/83.79 cut (((op1 (e12) (op1 (e12) (e10))) = (op1 (e12) (op1 (e12) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H352].
% 83.55/83.79 cut (((op1 (e12) (op1 (e12) (e10))) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H353].
% 83.55/83.79 congruence.
% 83.55/83.79 cut (((op1 (e12) (e10)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H26f].
% 83.55/83.79 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2b].
% 83.55/83.79 congruence.
% 83.55/83.79 apply zenon_H2b. apply refl_equal.
% 83.55/83.79 exact (zenon_H26f zenon_H16c).
% 83.55/83.79 apply zenon_H352. apply refl_equal.
% 83.55/83.79 apply zenon_H352. apply refl_equal.
% 83.55/83.79 apply zenon_H12. apply refl_equal.
% 83.55/83.79 (* end of lemma zenon_L269_ *)
% 83.55/83.79 assert (zenon_L270_ : (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (op1 (e12) (e10)) (e12)) = (e10)) -> ((op1 (e12) (e10)) = (e11)) -> ((op1 (e12) (e12)) = (e10)) -> False).
% 83.55/83.79 do 0 intro. intros zenon_H1a5 zenon_H354 zenon_H16c zenon_H1d5.
% 83.55/83.79 cut (((op1 (op1 (e12) (e10)) (e12)) = (e10)) = ((op1 (e11) (e12)) = (op1 (e12) (e12)))).
% 83.55/83.79 intro zenon_D_pnotp.
% 83.55/83.79 apply zenon_H1a5.
% 83.55/83.79 rewrite <- zenon_D_pnotp.
% 83.55/83.79 exact zenon_H354.
% 83.55/83.79 cut (((e10) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1d6].
% 83.55/83.79 cut (((op1 (op1 (e12) (e10)) (e12)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H355].
% 83.55/83.79 congruence.
% 83.55/83.79 elim (classic ((op1 (e11) (e12)) = (op1 (e11) (e12)))); [ zenon_intro zenon_H1a1 | zenon_intro zenon_H19e ].
% 83.55/83.79 cut (((op1 (e11) (e12)) = (op1 (e11) (e12))) = ((op1 (op1 (e12) (e10)) (e12)) = (op1 (e11) (e12)))).
% 83.55/83.79 intro zenon_D_pnotp.
% 83.55/83.79 apply zenon_H355.
% 83.55/83.79 rewrite <- zenon_D_pnotp.
% 83.55/83.79 exact zenon_H1a1.
% 83.55/83.79 cut (((op1 (e11) (e12)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H19e].
% 83.55/83.79 cut (((op1 (e11) (e12)) = (op1 (op1 (e12) (e10)) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H356].
% 83.55/83.79 congruence.
% 83.55/83.79 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2b].
% 83.55/83.79 cut (((e11) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H171].
% 83.55/83.79 congruence.
% 83.55/83.79 apply zenon_H171. apply sym_equal. exact zenon_H16c.
% 83.55/83.79 apply zenon_H2b. apply refl_equal.
% 83.55/83.79 apply zenon_H19e. apply refl_equal.
% 83.55/83.79 apply zenon_H19e. apply refl_equal.
% 83.55/83.79 apply zenon_H1d6. apply sym_equal. exact zenon_H1d5.
% 83.55/83.79 (* end of lemma zenon_L270_ *)
% 83.55/83.79 assert (zenon_L271_ : (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (op1 (e12) (e10)) (e10)) = (e12))) -> (~((op1 (e12) (op1 (e12) (e10))) = (e10))) -> ((op1 (e12) (e10)) = (e11)) -> ((op1 (op1 (e12) (e10)) (e12)) = (e10)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 83.55/83.79 do 0 intro. intros zenon_H357 zenon_H34b zenon_H34f zenon_H16c zenon_H354 zenon_H1a5 zenon_H4d zenon_H50 zenon_H3a zenon_H49 zenon_H2c zenon_H17 zenon_H14 zenon_H25.
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H357); [ zenon_intro zenon_H1ff | zenon_intro zenon_H358 ].
% 83.55/83.79 apply (zenon_L268_); trivial.
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H358); [ zenon_intro zenon_H181 | zenon_intro zenon_H359 ].
% 83.55/83.79 apply (zenon_L269_); trivial.
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H359); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H51 ].
% 83.55/83.79 apply (zenon_L270_); trivial.
% 83.55/83.79 apply (zenon_L17_); trivial.
% 83.55/83.79 (* end of lemma zenon_L271_ *)
% 83.55/83.79 assert (zenon_L272_ : (~((op1 (e13) (e12)) = (op1 (op1 (e12) (e10)) (e12)))) -> ((op1 (e12) (e10)) = (e13)) -> False).
% 83.55/83.79 do 0 intro. intros zenon_H35a zenon_H1d9.
% 83.55/83.79 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2b].
% 83.55/83.79 cut (((e13) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H2fe].
% 83.55/83.79 congruence.
% 83.55/83.79 apply zenon_H2fe. apply sym_equal. exact zenon_H1d9.
% 83.55/83.79 apply zenon_H2b. apply refl_equal.
% 83.55/83.79 (* end of lemma zenon_L272_ *)
% 83.55/83.79 assert (zenon_L273_ : ((op1 (op1 (e12) (e10)) (e12)) = (e10)) -> ((op1 (e12) (e10)) = (e13)) -> ((op1 (e11) (e12)) = (e10)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> False).
% 83.55/83.79 do 0 intro. intros zenon_H354 zenon_H1d9 zenon_H19b zenon_H19a.
% 83.55/83.79 elim (classic ((op1 (e13) (e12)) = (op1 (e13) (e12)))); [ zenon_intro zenon_H205 | zenon_intro zenon_H206 ].
% 83.55/83.79 cut (((op1 (e13) (e12)) = (op1 (e13) (e12))) = ((op1 (e11) (e12)) = (op1 (e13) (e12)))).
% 83.55/83.79 intro zenon_D_pnotp.
% 83.55/83.79 apply zenon_H19a.
% 83.55/83.79 rewrite <- zenon_D_pnotp.
% 83.55/83.79 exact zenon_H205.
% 83.55/83.79 cut (((op1 (e13) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H206].
% 83.55/83.79 cut (((op1 (e13) (e12)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H35b].
% 83.55/83.79 congruence.
% 83.55/83.79 cut (((op1 (op1 (e12) (e10)) (e12)) = (e10)) = ((op1 (e13) (e12)) = (op1 (e11) (e12)))).
% 83.55/83.79 intro zenon_D_pnotp.
% 83.55/83.79 apply zenon_H35b.
% 83.55/83.79 rewrite <- zenon_D_pnotp.
% 83.55/83.79 exact zenon_H354.
% 83.55/83.79 cut (((e10) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H329].
% 83.55/83.79 cut (((op1 (op1 (e12) (e10)) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H35c].
% 83.55/83.79 congruence.
% 83.55/83.79 elim (classic ((op1 (e13) (e12)) = (op1 (e13) (e12)))); [ zenon_intro zenon_H205 | zenon_intro zenon_H206 ].
% 83.55/83.79 cut (((op1 (e13) (e12)) = (op1 (e13) (e12))) = ((op1 (op1 (e12) (e10)) (e12)) = (op1 (e13) (e12)))).
% 83.55/83.79 intro zenon_D_pnotp.
% 83.55/83.79 apply zenon_H35c.
% 83.55/83.79 rewrite <- zenon_D_pnotp.
% 83.55/83.79 exact zenon_H205.
% 83.55/83.79 cut (((op1 (e13) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H206].
% 83.55/83.79 cut (((op1 (e13) (e12)) = (op1 (op1 (e12) (e10)) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H35a].
% 83.55/83.79 congruence.
% 83.55/83.79 apply (zenon_L272_); trivial.
% 83.55/83.79 apply zenon_H206. apply refl_equal.
% 83.55/83.79 apply zenon_H206. apply refl_equal.
% 83.55/83.79 apply zenon_H329. apply sym_equal. exact zenon_H19b.
% 83.55/83.79 apply zenon_H206. apply refl_equal.
% 83.55/83.79 apply zenon_H206. apply refl_equal.
% 83.55/83.79 (* end of lemma zenon_L273_ *)
% 83.55/83.79 assert (zenon_L274_ : (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((op1 (e12) (e11)) = (e10)) -> (~((op1 (e12) (op1 (e12) (e10))) = (e10))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((e12) = (op1 (e10) (e10))) -> ((op1 (op1 (e12) (e10)) (e12)) = (e10)) -> ((op1 (e11) (e12)) = (e10)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> False).
% 83.55/83.79 do 0 intro. intros zenon_H35d zenon_H2cd zenon_H181 zenon_H34f zenon_H18e zenon_H2c zenon_H354 zenon_H19b zenon_H19a.
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H35d); [ zenon_intro zenon_H1ff | zenon_intro zenon_H35e ].
% 83.55/83.79 apply (zenon_L218_); trivial.
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H35e); [ zenon_intro zenon_H16c | zenon_intro zenon_H35f ].
% 83.55/83.79 apply (zenon_L269_); trivial.
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H18d | zenon_intro zenon_H1d9 ].
% 83.55/83.79 apply (zenon_L101_); trivial.
% 83.55/83.79 apply (zenon_L273_); trivial.
% 83.55/83.79 (* end of lemma zenon_L274_ *)
% 83.55/83.79 assert (zenon_L275_ : (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((e10) = (e11))) -> (~((op1 (e12) (op1 (e12) (e10))) = (e10))) -> ((op1 (e12) (e10)) = (e11)) -> ((op1 (op1 (e12) (e10)) (e12)) = (e10)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e10)) -> False).
% 83.55/83.79 do 0 intro. intros zenon_H357 zenon_H163 zenon_H34f zenon_H16c zenon_H354 zenon_H1a5 zenon_H50 zenon_H42.
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H357); [ zenon_intro zenon_H1ff | zenon_intro zenon_H358 ].
% 83.55/83.79 apply (zenon_L179_); trivial.
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H358); [ zenon_intro zenon_H181 | zenon_intro zenon_H359 ].
% 83.55/83.79 apply (zenon_L269_); trivial.
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H359); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H51 ].
% 83.55/83.79 apply (zenon_L270_); trivial.
% 83.55/83.79 apply (zenon_L16_); trivial.
% 83.55/83.79 (* end of lemma zenon_L275_ *)
% 83.55/83.79 assert (zenon_L276_ : ((op1 (op1 (e12) (e10)) (e12)) = (e10)) -> ((op1 (e12) (e10)) = (e13)) -> ((op1 (e12) (e12)) = (e10)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> False).
% 83.55/83.79 do 0 intro. intros zenon_H354 zenon_H1d9 zenon_H1d5 zenon_H360.
% 83.55/83.79 elim (classic ((op1 (e13) (e12)) = (op1 (e13) (e12)))); [ zenon_intro zenon_H205 | zenon_intro zenon_H206 ].
% 83.55/83.79 cut (((op1 (e13) (e12)) = (op1 (e13) (e12))) = ((op1 (e12) (e12)) = (op1 (e13) (e12)))).
% 83.55/83.79 intro zenon_D_pnotp.
% 83.55/83.79 apply zenon_H360.
% 83.55/83.79 rewrite <- zenon_D_pnotp.
% 83.55/83.79 exact zenon_H205.
% 83.55/83.79 cut (((op1 (e13) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H206].
% 83.55/83.79 cut (((op1 (e13) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H361].
% 83.55/83.79 congruence.
% 83.55/83.79 cut (((op1 (op1 (e12) (e10)) (e12)) = (e10)) = ((op1 (e13) (e12)) = (op1 (e12) (e12)))).
% 83.55/83.79 intro zenon_D_pnotp.
% 83.55/83.79 apply zenon_H361.
% 83.55/83.79 rewrite <- zenon_D_pnotp.
% 83.55/83.79 exact zenon_H354.
% 83.55/83.79 cut (((e10) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1d6].
% 83.55/83.79 cut (((op1 (op1 (e12) (e10)) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H35c].
% 83.55/83.79 congruence.
% 83.55/83.79 elim (classic ((op1 (e13) (e12)) = (op1 (e13) (e12)))); [ zenon_intro zenon_H205 | zenon_intro zenon_H206 ].
% 83.55/83.79 cut (((op1 (e13) (e12)) = (op1 (e13) (e12))) = ((op1 (op1 (e12) (e10)) (e12)) = (op1 (e13) (e12)))).
% 83.55/83.79 intro zenon_D_pnotp.
% 83.55/83.79 apply zenon_H35c.
% 83.55/83.79 rewrite <- zenon_D_pnotp.
% 83.55/83.79 exact zenon_H205.
% 83.55/83.79 cut (((op1 (e13) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H206].
% 83.55/83.79 cut (((op1 (e13) (e12)) = (op1 (op1 (e12) (e10)) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H35a].
% 83.55/83.79 congruence.
% 83.55/83.79 apply (zenon_L272_); trivial.
% 83.55/83.79 apply zenon_H206. apply refl_equal.
% 83.55/83.79 apply zenon_H206. apply refl_equal.
% 83.55/83.79 apply zenon_H1d6. apply sym_equal. exact zenon_H1d5.
% 83.55/83.79 apply zenon_H206. apply refl_equal.
% 83.55/83.79 apply zenon_H206. apply refl_equal.
% 83.55/83.79 (* end of lemma zenon_L276_ *)
% 83.55/83.79 assert (zenon_L277_ : (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((e10) = (e13))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e13)) -> ((op1 (op1 (e12) (e10)) (e12)) = (e10)) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 83.55/83.79 do 0 intro. intros zenon_H357 zenon_H200 zenon_H1d8 zenon_H1a5 zenon_H1a6 zenon_H187 zenon_H1d4 zenon_H1dc zenon_H360 zenon_H1d9 zenon_H354 zenon_H4d zenon_H50 zenon_H3a zenon_H49 zenon_H2c zenon_H17 zenon_H14 zenon_H25.
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H357); [ zenon_intro zenon_H1ff | zenon_intro zenon_H358 ].
% 83.55/83.79 apply (zenon_L131_); trivial.
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H358); [ zenon_intro zenon_H181 | zenon_intro zenon_H359 ].
% 83.55/83.79 apply (zenon_L119_); trivial.
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H359); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H51 ].
% 83.55/83.79 apply (zenon_L276_); trivial.
% 83.55/83.79 apply (zenon_L17_); trivial.
% 83.55/83.79 (* end of lemma zenon_L277_ *)
% 83.55/83.79 assert (zenon_L278_ : (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (op1 (e12) (e10)) (e10)) = (e12))) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e12) (op1 (e12) (e10))) = (e10))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((e10) = (e13))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (op1 (e12) (e10)) (e12)) = (e10)) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 83.55/83.79 do 0 intro. intros zenon_H35d zenon_H34b zenon_H42 zenon_H34f zenon_H163 zenon_H18e zenon_H357 zenon_H200 zenon_H1d8 zenon_H1a5 zenon_H1a6 zenon_H187 zenon_H1d4 zenon_H1dc zenon_H360 zenon_H354 zenon_H4d zenon_H50 zenon_H3a zenon_H49 zenon_H2c zenon_H17 zenon_H14 zenon_H25.
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H35d); [ zenon_intro zenon_H1ff | zenon_intro zenon_H35e ].
% 83.55/83.79 apply (zenon_L268_); trivial.
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H35e); [ zenon_intro zenon_H16c | zenon_intro zenon_H35f ].
% 83.55/83.79 apply (zenon_L275_); trivial.
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H18d | zenon_intro zenon_H1d9 ].
% 83.55/83.79 apply (zenon_L101_); trivial.
% 83.55/83.79 apply (zenon_L277_); trivial.
% 83.55/83.79 (* end of lemma zenon_L278_ *)
% 83.55/83.79 assert (zenon_L279_ : (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((op1 (e12) (e11)) = (e10)) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (op1 (e12) (e10)) (e12)) = (e10)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((e10) = (e13))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e10) = (e11))) -> (~((op1 (e12) (op1 (e12) (e10))) = (e10))) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (op1 (e12) (e10)) (e10)) = (e12))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e10)) = (e13)) -> False).
% 83.55/83.79 do 0 intro. intros zenon_H256 zenon_H2cd zenon_H181 zenon_H1ad zenon_H19a zenon_H1a0 zenon_H25 zenon_H14 zenon_H17 zenon_H2c zenon_H49 zenon_H3a zenon_H50 zenon_H4d zenon_H354 zenon_H360 zenon_H1dc zenon_H1d4 zenon_H187 zenon_H1a5 zenon_H1d8 zenon_H200 zenon_H357 zenon_H18e zenon_H163 zenon_H34f zenon_H42 zenon_H34b zenon_H35d zenon_H1a9 zenon_H1aa.
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H59 | zenon_intro zenon_H257 ].
% 83.55/83.79 apply (zenon_L21_); trivial.
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H19b | zenon_intro zenon_H258 ].
% 83.55/83.79 apply (zenon_L274_); trivial.
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H19c ].
% 83.55/83.79 apply (zenon_L117_); trivial.
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H1ad); [ zenon_intro zenon_H19b | zenon_intro zenon_H1ae ].
% 83.55/83.79 apply (zenon_L104_); trivial.
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H19f | zenon_intro zenon_H1af ].
% 83.55/83.79 apply (zenon_L105_); trivial.
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1ab ].
% 83.55/83.79 apply (zenon_L278_); trivial.
% 83.55/83.79 apply (zenon_L107_); trivial.
% 83.55/83.79 (* end of lemma zenon_L279_ *)
% 83.55/83.79 assert (zenon_L280_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (op1 (e12) (e10)) (e10)) = (e12))) -> (~((op1 (e12) (op1 (e12) (e10))) = (e10))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((e10) = (e13))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (op1 (e12) (e10)) (e12)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((op1 (e12) (e11)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 83.55/83.79 do 0 intro. intros zenon_H56 zenon_H1aa zenon_H1a9 zenon_H35d zenon_H34b zenon_H34f zenon_H163 zenon_H18e zenon_H357 zenon_H200 zenon_H1d8 zenon_H1a5 zenon_H187 zenon_H1d4 zenon_H1dc zenon_H360 zenon_H354 zenon_H1a0 zenon_H19a zenon_H1ad zenon_H181 zenon_H2cd zenon_H256 zenon_H45 zenon_H50 zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H2c zenon_H17 zenon_H14 zenon_H25.
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H42 | zenon_intro zenon_H57 ].
% 83.55/83.79 apply (zenon_L279_); trivial.
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H57); [ zenon_intro zenon_H46 | zenon_intro zenon_H58 ].
% 83.55/83.79 apply (zenon_L15_); trivial.
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H51 | zenon_intro zenon_H54 ].
% 83.55/83.79 apply (zenon_L17_); trivial.
% 83.55/83.79 apply (zenon_L19_); trivial.
% 83.55/83.79 (* end of lemma zenon_L280_ *)
% 83.55/83.79 assert (zenon_L281_ : (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (op1 (e12) (e10)) (e10)) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((e12) = (op1 (e10) (e10))) -> ((op1 (op1 (e12) (e10)) (e12)) = (e10)) -> ((op1 (e12) (e12)) = (e10)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> False).
% 83.55/83.79 do 0 intro. intros zenon_H35d zenon_H34b zenon_H1a5 zenon_H18e zenon_H2c zenon_H354 zenon_H1d5 zenon_H360.
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H35d); [ zenon_intro zenon_H1ff | zenon_intro zenon_H35e ].
% 83.55/83.79 apply (zenon_L268_); trivial.
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H35e); [ zenon_intro zenon_H16c | zenon_intro zenon_H35f ].
% 83.55/83.79 apply (zenon_L270_); trivial.
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H18d | zenon_intro zenon_H1d9 ].
% 83.55/83.79 apply (zenon_L101_); trivial.
% 83.55/83.79 apply (zenon_L276_); trivial.
% 83.55/83.79 (* end of lemma zenon_L281_ *)
% 83.55/83.79 assert (zenon_L282_ : (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((e10) = (e13))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((e10) = (e11))) -> (~((op1 (e12) (op1 (e12) (e10))) = (e10))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e10)) = (e13)) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (op1 (e12) (e10)) (e12)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (op1 (e12) (e10)) (e10)) = (e12))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 83.55/83.79 do 0 intro. intros zenon_H53 zenon_H45 zenon_H256 zenon_H2cd zenon_H1ad zenon_H19a zenon_H1a0 zenon_H1dc zenon_H1d4 zenon_H187 zenon_H1d8 zenon_H200 zenon_H357 zenon_H163 zenon_H34f zenon_H1a9 zenon_H1aa zenon_H56 zenon_H360 zenon_H354 zenon_H18e zenon_H1a5 zenon_H34b zenon_H35d zenon_H4d zenon_H50 zenon_H3a zenon_H49 zenon_H2c zenon_H17 zenon_H14 zenon_H25.
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H357); [ zenon_intro zenon_H1ff | zenon_intro zenon_H358 ].
% 83.55/83.79 apply (zenon_L268_); trivial.
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H358); [ zenon_intro zenon_H181 | zenon_intro zenon_H359 ].
% 83.55/83.79 apply (zenon_L280_); trivial.
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H359); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H51 ].
% 83.55/83.79 apply (zenon_L281_); trivial.
% 83.55/83.79 apply (zenon_L17_); trivial.
% 83.55/83.79 (* end of lemma zenon_L282_ *)
% 83.55/83.79 assert (zenon_L283_ : (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((e10) = (e13))) -> (~((e10) = (e11))) -> ((op1 (e12) (e11)) = (e11)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e13)) -> ((op1 (op1 (e12) (e10)) (e12)) = (e10)) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 83.55/83.79 do 0 intro. intros zenon_H357 zenon_H200 zenon_H163 zenon_H184 zenon_H360 zenon_H1d9 zenon_H354 zenon_H4d zenon_H50 zenon_H3a zenon_H49 zenon_H2c zenon_H17 zenon_H14 zenon_H25.
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H357); [ zenon_intro zenon_H1ff | zenon_intro zenon_H358 ].
% 83.55/83.79 apply (zenon_L131_); trivial.
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H358); [ zenon_intro zenon_H181 | zenon_intro zenon_H359 ].
% 83.55/83.79 apply (zenon_L99_); trivial.
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H359); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H51 ].
% 83.55/83.79 apply (zenon_L276_); trivial.
% 83.55/83.79 apply (zenon_L17_); trivial.
% 83.55/83.79 (* end of lemma zenon_L283_ *)
% 83.55/83.79 assert (zenon_L284_ : (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((op1 (e11) (e11)) = (e10)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (op1 (e12) (e10)) (e12)) = (e10)) -> ((op1 (e12) (e10)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((e10) = (e13))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e10)) = (e11)) -> False).
% 83.55/83.79 do 0 intro. intros zenon_H1c9 zenon_H1e zenon_H177 zenon_H25 zenon_H14 zenon_H17 zenon_H2c zenon_H49 zenon_H3a zenon_H50 zenon_H4d zenon_H354 zenon_H1d9 zenon_H360 zenon_H163 zenon_H200 zenon_H357 zenon_H1bf zenon_H195.
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H34 | zenon_intro zenon_H1cc ].
% 83.55/83.79 apply (zenon_L9_); trivial.
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H17e | zenon_intro zenon_H1cd ].
% 83.55/83.79 apply (zenon_L180_); trivial.
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H184 | zenon_intro zenon_H1c0 ].
% 83.55/83.79 apply (zenon_L283_); trivial.
% 83.55/83.79 apply (zenon_L113_); trivial.
% 83.55/83.79 (* end of lemma zenon_L284_ *)
% 83.55/83.79 assert (zenon_L285_ : (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((e11) = (e12))) -> ((op1 (e11) (e13)) = (e11)) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((op1 (e12) (e11)) = (e10)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (op1 (e12) (e10)) (e12)) = (e10)) -> ((op1 (e12) (e10)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((e10) = (e13))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e10)) = (e11)) -> False).
% 83.55/83.79 do 0 intro. intros zenon_H1c9 zenon_H1e zenon_H2e zenon_H1eb zenon_H1dc zenon_H181 zenon_H1d4 zenon_H187 zenon_H1a5 zenon_H1d8 zenon_H1cf zenon_H1e8 zenon_H25 zenon_H14 zenon_H17 zenon_H2c zenon_H49 zenon_H3a zenon_H50 zenon_H4d zenon_H354 zenon_H1d9 zenon_H360 zenon_H163 zenon_H200 zenon_H357 zenon_H1bf zenon_H195.
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H34 | zenon_intro zenon_H1cc ].
% 83.55/83.79 apply (zenon_L9_); trivial.
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H17e | zenon_intro zenon_H1cd ].
% 83.55/83.79 apply (zenon_L126_); trivial.
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H184 | zenon_intro zenon_H1c0 ].
% 83.55/83.79 apply (zenon_L283_); trivial.
% 83.55/83.79 apply (zenon_L113_); trivial.
% 83.55/83.79 (* end of lemma zenon_L285_ *)
% 83.55/83.79 assert (zenon_L286_ : (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((op1 (e11) (e10)) = (e10)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (op1 (e10) (e10))) = (e12))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((e11) = (e12))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((op1 (e12) (e11)) = (e10)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (op1 (e12) (e10)) (e12)) = (e10)) -> ((op1 (e12) (e10)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((e10) = (e13))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e10)) = (e11)) -> False).
% 83.55/83.79 do 0 intro. intros zenon_H1f4 zenon_H161 zenon_H1e4 zenon_H1e0 zenon_H3f zenon_H18e zenon_H1b6 zenon_H1a0 zenon_H1c9 zenon_H1e zenon_H2e zenon_H1dc zenon_H181 zenon_H1d4 zenon_H187 zenon_H1a5 zenon_H1d8 zenon_H1cf zenon_H1e8 zenon_H25 zenon_H14 zenon_H17 zenon_H2c zenon_H49 zenon_H3a zenon_H50 zenon_H4d zenon_H354 zenon_H1d9 zenon_H360 zenon_H163 zenon_H200 zenon_H357 zenon_H1bf zenon_H195.
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H162 | zenon_intro zenon_H1fa ].
% 83.55/83.79 apply (zenon_L90_); trivial.
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H17e | zenon_intro zenon_H1fb ].
% 83.55/83.79 apply (zenon_L124_); trivial.
% 83.55/83.79 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H19f | zenon_intro zenon_H1eb ].
% 83.55/83.79 apply (zenon_L105_); trivial.
% 83.55/83.79 apply (zenon_L285_); trivial.
% 83.55/83.79 (* end of lemma zenon_L286_ *)
% 83.55/83.79 assert (zenon_L287_ : ((op1 (op1 (e12) (e10)) (e12)) = (e10)) -> ((op1 (e12) (e10)) = (e13)) -> ((op1 (e13) (e11)) = (e10)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False).
% 83.55/83.79 do 0 intro. intros zenon_H354 zenon_H1d9 zenon_H197 zenon_H32b.
% 83.55/83.79 elim (classic ((op1 (e13) (e12)) = (op1 (e13) (e12)))); [ zenon_intro zenon_H205 | zenon_intro zenon_H206 ].
% 83.55/83.79 cut (((op1 (e13) (e12)) = (op1 (e13) (e12))) = ((op1 (e13) (e11)) = (op1 (e13) (e12)))).
% 83.55/83.80 intro zenon_D_pnotp.
% 83.55/83.80 apply zenon_H32b.
% 83.55/83.80 rewrite <- zenon_D_pnotp.
% 83.55/83.80 exact zenon_H205.
% 83.55/83.80 cut (((op1 (e13) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H206].
% 83.55/83.80 cut (((op1 (e13) (e12)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H362].
% 83.55/83.80 congruence.
% 83.55/83.80 cut (((op1 (op1 (e12) (e10)) (e12)) = (e10)) = ((op1 (e13) (e12)) = (op1 (e13) (e11)))).
% 83.55/83.80 intro zenon_D_pnotp.
% 83.55/83.80 apply zenon_H362.
% 83.55/83.80 rewrite <- zenon_D_pnotp.
% 83.55/83.80 exact zenon_H354.
% 83.55/83.80 cut (((e10) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H307].
% 83.55/83.80 cut (((op1 (op1 (e12) (e10)) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H35c].
% 83.55/83.80 congruence.
% 83.55/83.80 elim (classic ((op1 (e13) (e12)) = (op1 (e13) (e12)))); [ zenon_intro zenon_H205 | zenon_intro zenon_H206 ].
% 83.55/83.80 cut (((op1 (e13) (e12)) = (op1 (e13) (e12))) = ((op1 (op1 (e12) (e10)) (e12)) = (op1 (e13) (e12)))).
% 83.55/83.80 intro zenon_D_pnotp.
% 83.55/83.80 apply zenon_H35c.
% 83.55/83.80 rewrite <- zenon_D_pnotp.
% 83.55/83.80 exact zenon_H205.
% 83.55/83.80 cut (((op1 (e13) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H206].
% 83.55/83.80 cut (((op1 (e13) (e12)) = (op1 (op1 (e12) (e10)) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H35a].
% 83.55/83.80 congruence.
% 83.55/83.80 apply (zenon_L272_); trivial.
% 83.55/83.80 apply zenon_H206. apply refl_equal.
% 83.55/83.80 apply zenon_H206. apply refl_equal.
% 83.55/83.80 apply zenon_H307. apply sym_equal. exact zenon_H197.
% 83.55/83.80 apply zenon_H206. apply refl_equal.
% 83.55/83.80 apply zenon_H206. apply refl_equal.
% 83.55/83.80 (* end of lemma zenon_L287_ *)
% 83.55/83.80 assert (zenon_L288_ : (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e10)) = (e10)) -> ((op1 (e13) (e12)) = (e10)) -> False).
% 83.55/83.80 do 0 intro. intros zenon_H252 zenon_H194 zenon_H19c.
% 83.55/83.80 cut (((op1 (e13) (e10)) = (e10)) = ((op1 (e13) (e10)) = (op1 (e13) (e12)))).
% 83.55/83.80 intro zenon_D_pnotp.
% 83.55/83.80 apply zenon_H252.
% 83.55/83.80 rewrite <- zenon_D_pnotp.
% 83.55/83.80 exact zenon_H194.
% 83.55/83.80 cut (((e10) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H19d].
% 83.55/83.80 cut (((op1 (e13) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H16f].
% 83.55/83.80 congruence.
% 83.55/83.80 apply zenon_H16f. apply refl_equal.
% 83.55/83.80 apply zenon_H19d. apply sym_equal. exact zenon_H19c.
% 83.55/83.80 (* end of lemma zenon_L288_ *)
% 83.55/83.80 assert (zenon_L289_ : (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> ((op1 (e10) (e13)) = (e10)) -> (~((e10) = (e13))) -> ((op1 (e11) (e12)) = (e13)) -> ((op1 (e12) (e11)) = (e10)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e10)) = (e10)) -> False).
% 83.55/83.80 do 0 intro. intros zenon_H256 zenon_H3a zenon_H42 zenon_H200 zenon_H1ab zenon_H181 zenon_H1d4 zenon_H252 zenon_H194.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H59 | zenon_intro zenon_H257 ].
% 83.55/83.80 apply (zenon_L21_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H19b | zenon_intro zenon_H258 ].
% 83.55/83.80 apply (zenon_L159_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H19c ].
% 83.55/83.80 apply (zenon_L117_); trivial.
% 83.55/83.80 apply (zenon_L288_); trivial.
% 83.55/83.80 (* end of lemma zenon_L289_ *)
% 83.55/83.80 assert (zenon_L290_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e13) (e10)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e11)) = (e10)) -> ((op1 (e11) (e12)) = (e13)) -> (~((e10) = (e13))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 83.55/83.80 do 0 intro. intros zenon_H56 zenon_H194 zenon_H252 zenon_H1d4 zenon_H181 zenon_H1ab zenon_H200 zenon_H256 zenon_H45 zenon_H50 zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H2c zenon_H17 zenon_H14 zenon_H25.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H42 | zenon_intro zenon_H57 ].
% 83.55/83.80 apply (zenon_L289_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H57); [ zenon_intro zenon_H46 | zenon_intro zenon_H58 ].
% 83.55/83.80 apply (zenon_L15_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H51 | zenon_intro zenon_H54 ].
% 83.55/83.80 apply (zenon_L17_); trivial.
% 83.55/83.80 apply (zenon_L19_); trivial.
% 83.55/83.80 (* end of lemma zenon_L290_ *)
% 83.55/83.80 assert (zenon_L291_ : (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((e10) = (e13))) -> ((op1 (e11) (e12)) = (e13)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e10)) = (e10)) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e13)) -> ((op1 (op1 (e12) (e10)) (e12)) = (e10)) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 83.55/83.80 do 0 intro. intros zenon_H357 zenon_H53 zenon_H45 zenon_H256 zenon_H200 zenon_H1ab zenon_H1d4 zenon_H252 zenon_H194 zenon_H56 zenon_H360 zenon_H1d9 zenon_H354 zenon_H4d zenon_H50 zenon_H3a zenon_H49 zenon_H2c zenon_H17 zenon_H14 zenon_H25.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H357); [ zenon_intro zenon_H1ff | zenon_intro zenon_H358 ].
% 83.55/83.80 apply (zenon_L131_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H358); [ zenon_intro zenon_H181 | zenon_intro zenon_H359 ].
% 83.55/83.80 apply (zenon_L290_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H359); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H51 ].
% 83.55/83.80 apply (zenon_L276_); trivial.
% 83.55/83.80 apply (zenon_L17_); trivial.
% 83.55/83.80 (* end of lemma zenon_L291_ *)
% 83.55/83.80 assert (zenon_L292_ : (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e13)) -> ((op1 (op1 (e12) (e10)) (e12)) = (e10)) -> ((op1 (e12) (e11)) = (e10)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e10)) = (e10)) -> False).
% 83.55/83.80 do 0 intro. intros zenon_H256 zenon_H3a zenon_H42 zenon_H19a zenon_H1d9 zenon_H354 zenon_H181 zenon_H1d4 zenon_H252 zenon_H194.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H59 | zenon_intro zenon_H257 ].
% 83.55/83.80 apply (zenon_L21_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H19b | zenon_intro zenon_H258 ].
% 83.55/83.80 apply (zenon_L273_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H19c ].
% 83.55/83.80 apply (zenon_L117_); trivial.
% 83.55/83.80 apply (zenon_L288_); trivial.
% 83.55/83.80 (* end of lemma zenon_L292_ *)
% 83.55/83.80 assert (zenon_L293_ : (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((op1 (e12) (e11)) = (e10)) -> (~((op1 (e12) (op1 (e12) (e10))) = (e10))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e12)) = (e13)) -> False).
% 83.55/83.80 do 0 intro. intros zenon_H35d zenon_H2cd zenon_H181 zenon_H34f zenon_H18e zenon_H2c zenon_H1d8 zenon_H1da.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H35d); [ zenon_intro zenon_H1ff | zenon_intro zenon_H35e ].
% 83.55/83.80 apply (zenon_L218_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H35e); [ zenon_intro zenon_H16c | zenon_intro zenon_H35f ].
% 83.55/83.80 apply (zenon_L269_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H18d | zenon_intro zenon_H1d9 ].
% 83.55/83.80 apply (zenon_L101_); trivial.
% 83.55/83.80 apply (zenon_L118_); trivial.
% 83.55/83.80 (* end of lemma zenon_L293_ *)
% 83.55/83.80 assert (zenon_L294_ : (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e13)) = (e13)) -> ((op1 (e12) (e13)) = (e13)) -> False).
% 83.55/83.80 do 0 intro. intros zenon_H1e4 zenon_H259 zenon_H363.
% 83.55/83.80 cut (((op1 (e11) (e13)) = (e13)) = ((op1 (e11) (e13)) = (op1 (e12) (e13)))).
% 83.55/83.80 intro zenon_D_pnotp.
% 83.55/83.80 apply zenon_H1e4.
% 83.55/83.80 rewrite <- zenon_D_pnotp.
% 83.55/83.80 exact zenon_H259.
% 83.55/83.80 cut (((e13) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H364].
% 83.55/83.80 cut (((op1 (e11) (e13)) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H1e7].
% 83.55/83.80 congruence.
% 83.55/83.80 apply zenon_H1e7. apply refl_equal.
% 83.55/83.80 apply zenon_H364. apply sym_equal. exact zenon_H363.
% 83.55/83.80 (* end of lemma zenon_L294_ *)
% 83.55/83.80 assert (zenon_L295_ : (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> ((op1 (e13) (e10)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (op1 (e12) (e10)) (e12)) = (e10)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (op1 (e12) (e10))) = (e10))) -> ((op1 (e12) (e11)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e13)) = (e13)) -> False).
% 83.55/83.80 do 0 intro. intros zenon_H365 zenon_H194 zenon_H252 zenon_H1d4 zenon_H354 zenon_H19a zenon_H42 zenon_H3a zenon_H256 zenon_H230 zenon_H14 zenon_H17 zenon_H1d8 zenon_H2c zenon_H18e zenon_H34f zenon_H181 zenon_H2cd zenon_H35d zenon_H1e4 zenon_H259.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H365); [ zenon_intro zenon_H1d9 | zenon_intro zenon_H366 ].
% 83.55/83.80 apply (zenon_L292_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H366); [ zenon_intro zenon_H22f | zenon_intro zenon_H367 ].
% 83.55/83.80 apply (zenon_L148_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H367); [ zenon_intro zenon_H1da | zenon_intro zenon_H363 ].
% 83.55/83.80 apply (zenon_L293_); trivial.
% 83.55/83.80 apply (zenon_L294_); trivial.
% 83.55/83.80 (* end of lemma zenon_L295_ *)
% 83.55/83.80 assert (zenon_L296_ : (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> ((op1 (e13) (e10)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (op1 (e12) (e10))) = (e10))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e13)) = (e13)) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (op1 (e12) (e10)) (e12)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (op1 (e12) (e10)) (e10)) = (e12))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 83.55/83.80 do 0 intro. intros zenon_H357 zenon_H53 zenon_H45 zenon_H365 zenon_H194 zenon_H252 zenon_H1d4 zenon_H19a zenon_H256 zenon_H230 zenon_H1d8 zenon_H34f zenon_H2cd zenon_H1e4 zenon_H259 zenon_H56 zenon_H360 zenon_H354 zenon_H18e zenon_H1a5 zenon_H34b zenon_H35d zenon_H4d zenon_H50 zenon_H3a zenon_H49 zenon_H2c zenon_H17 zenon_H14 zenon_H25.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H357); [ zenon_intro zenon_H1ff | zenon_intro zenon_H358 ].
% 83.55/83.80 apply (zenon_L268_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H358); [ zenon_intro zenon_H181 | zenon_intro zenon_H359 ].
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H42 | zenon_intro zenon_H57 ].
% 83.55/83.80 apply (zenon_L295_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H57); [ zenon_intro zenon_H46 | zenon_intro zenon_H58 ].
% 83.55/83.80 apply (zenon_L15_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H51 | zenon_intro zenon_H54 ].
% 83.55/83.80 apply (zenon_L17_); trivial.
% 83.55/83.80 apply (zenon_L19_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H359); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H51 ].
% 83.55/83.80 apply (zenon_L281_); trivial.
% 83.55/83.80 apply (zenon_L17_); trivial.
% 83.55/83.80 (* end of lemma zenon_L296_ *)
% 83.55/83.80 assert (zenon_L297_ : (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e11) = (e12))) -> (~((e10) = (e13))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((e11) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (op1 (e12) (e10)) (e12)) = (e10)) -> (~((op1 (e12) (op1 (e12) (e10))) = (e10))) -> (~((op1 (op1 (e12) (e10)) (e10)) = (e12))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> ((op1 (e13) (e10)) = (e10)) -> (~((e10) = (e11))) -> False).
% 83.55/83.80 do 0 intro. intros zenon_H1f3 zenon_H2e zenon_H200 zenon_H25d zenon_H1ee zenon_H229 zenon_H53 zenon_H45 zenon_H365 zenon_H252 zenon_H1d4 zenon_H19a zenon_H256 zenon_H230 zenon_H1d8 zenon_H2cd zenon_H1e4 zenon_H56 zenon_H360 zenon_H18e zenon_H35d zenon_H16 zenon_H1f5 zenon_H25 zenon_H14 zenon_H17 zenon_H2c zenon_H49 zenon_H3a zenon_H50 zenon_H4d zenon_H1a5 zenon_H354 zenon_H34f zenon_H34b zenon_H357 zenon_H194 zenon_H163.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H2d | zenon_intro zenon_H1f6 ].
% 83.55/83.80 apply (zenon_L7_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H162 | zenon_intro zenon_H1f7 ].
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H18 | zenon_intro zenon_H1f8 ].
% 83.55/83.80 apply (zenon_L3_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1f9 ].
% 83.55/83.80 apply (zenon_L177_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1d9 | zenon_intro zenon_H1ed ].
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H1aa | zenon_intro zenon_H25e ].
% 83.55/83.80 apply (zenon_L177_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H228 | zenon_intro zenon_H25f ].
% 83.55/83.80 apply (zenon_L147_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H25f); [ zenon_intro zenon_H1ab | zenon_intro zenon_H259 ].
% 83.55/83.80 apply (zenon_L291_); trivial.
% 83.55/83.80 apply (zenon_L296_); trivial.
% 83.55/83.80 apply (zenon_L238_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H16c | zenon_intro zenon_H195 ].
% 83.55/83.80 apply (zenon_L271_); trivial.
% 83.55/83.80 apply (zenon_L102_); trivial.
% 83.55/83.80 (* end of lemma zenon_L297_ *)
% 83.55/83.80 assert (zenon_L298_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e13) (e12)) = (e10)) -> ((op1 (e13) (e10)) = (op1 (e10) (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 83.55/83.80 do 0 intro. intros zenon_H56 zenon_H19c zenon_H253 zenon_H252 zenon_H45 zenon_H50 zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H2c zenon_H17 zenon_H14 zenon_H25.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H42 | zenon_intro zenon_H57 ].
% 83.55/83.80 apply (zenon_L160_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H57); [ zenon_intro zenon_H46 | zenon_intro zenon_H58 ].
% 83.55/83.80 apply (zenon_L15_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H51 | zenon_intro zenon_H54 ].
% 83.55/83.80 apply (zenon_L17_); trivial.
% 83.55/83.80 apply (zenon_L19_); trivial.
% 83.55/83.80 (* end of lemma zenon_L298_ *)
% 83.55/83.80 assert (zenon_L299_ : (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((op1 (e11) (e10)) = (e10)) -> (~((op1 (e11) (op1 (e11) (e11))) = (e11))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((e11) = (e12))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((op1 (e12) (e11)) = (e10)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (op1 (e12) (e10)) (e12)) = (e10)) -> ((op1 (e12) (e10)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (~((e10) = (e13))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e10)) = (e11)) -> False).
% 83.55/83.80 do 0 intro. intros zenon_H1f4 zenon_H161 zenon_H266 zenon_H1a0 zenon_H1c9 zenon_H1e zenon_H2e zenon_H1dc zenon_H181 zenon_H1d4 zenon_H187 zenon_H1a5 zenon_H1d8 zenon_H1cf zenon_H1e8 zenon_H25 zenon_H14 zenon_H17 zenon_H2c zenon_H49 zenon_H3a zenon_H50 zenon_H4d zenon_H354 zenon_H1d9 zenon_H360 zenon_H163 zenon_H200 zenon_H357 zenon_H1bf zenon_H195.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H162 | zenon_intro zenon_H1fa ].
% 83.55/83.80 apply (zenon_L90_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H17e | zenon_intro zenon_H1fb ].
% 83.55/83.80 apply (zenon_L170_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H19f | zenon_intro zenon_H1eb ].
% 83.55/83.80 apply (zenon_L105_); trivial.
% 83.55/83.80 apply (zenon_L285_); trivial.
% 83.55/83.80 (* end of lemma zenon_L299_ *)
% 83.55/83.80 assert (zenon_L300_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e11) (e12)) = (e13)) -> (~((op1 (e10) (op1 (e11) (e12))) = (e10))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 83.55/83.80 do 0 intro. intros zenon_H56 zenon_H1ab zenon_H26b zenon_H45 zenon_H50 zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H2c zenon_H17 zenon_H14 zenon_H25.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H42 | zenon_intro zenon_H57 ].
% 83.55/83.80 apply (zenon_L174_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H57); [ zenon_intro zenon_H46 | zenon_intro zenon_H58 ].
% 83.55/83.80 apply (zenon_L15_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H51 | zenon_intro zenon_H54 ].
% 83.55/83.80 apply (zenon_L17_); trivial.
% 83.55/83.80 apply (zenon_L19_); trivial.
% 83.55/83.80 (* end of lemma zenon_L300_ *)
% 83.55/83.80 assert (zenon_L301_ : ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e12) (op1 (e12) (e10))) = (e10))) -> (~((e10) = (e11))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((e10) = (e13))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (op1 (e12) (e10)) (e12)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (op1 (e12) (e10)) (e10)) = (e12))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 83.55/83.80 do 0 intro. intros zenon_H1aa zenon_H1a9 zenon_H42 zenon_H34f zenon_H163 zenon_H357 zenon_H200 zenon_H1d8 zenon_H187 zenon_H1d4 zenon_H1dc zenon_H1a0 zenon_H19a zenon_H1ad zenon_H2cd zenon_H256 zenon_H360 zenon_H354 zenon_H18e zenon_H1a5 zenon_H34b zenon_H35d zenon_H4d zenon_H50 zenon_H3a zenon_H49 zenon_H2c zenon_H17 zenon_H14 zenon_H25.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H357); [ zenon_intro zenon_H1ff | zenon_intro zenon_H358 ].
% 83.55/83.80 apply (zenon_L268_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H358); [ zenon_intro zenon_H181 | zenon_intro zenon_H359 ].
% 83.55/83.80 apply (zenon_L279_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H359); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H51 ].
% 83.55/83.80 apply (zenon_L281_); trivial.
% 83.55/83.80 apply (zenon_L17_); trivial.
% 83.55/83.80 (* end of lemma zenon_L301_ *)
% 83.55/83.80 assert (zenon_L302_ : (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (op1 (e12) (e10)) (e10)) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((op1 (op1 (e12) (e10)) (e12)) = (e10)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((e10) = (e13))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((e10) = (e11))) -> (~((op1 (e12) (op1 (e12) (e10))) = (e10))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e10) (op1 (e12) (e10))) = (e10))) -> ((op1 (e13) (e10)) = (e11)) -> (~((e11) = (e13))) -> False).
% 83.55/83.80 do 0 intro. intros zenon_H1f5 zenon_H16 zenon_H25 zenon_H14 zenon_H17 zenon_H2c zenon_H49 zenon_H3a zenon_H50 zenon_H4d zenon_H35d zenon_H34b zenon_H1a5 zenon_H18e zenon_H354 zenon_H360 zenon_H256 zenon_H2cd zenon_H1ad zenon_H19a zenon_H1a0 zenon_H1dc zenon_H1d4 zenon_H187 zenon_H1d8 zenon_H200 zenon_H357 zenon_H163 zenon_H34f zenon_H1a9 zenon_H42 zenon_H28f zenon_H195 zenon_H1ee.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H18 | zenon_intro zenon_H1f8 ].
% 83.55/83.80 apply (zenon_L3_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1f9 ].
% 83.55/83.80 apply (zenon_L301_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1d9 | zenon_intro zenon_H1ed ].
% 83.55/83.80 apply (zenon_L191_); trivial.
% 83.55/83.80 apply (zenon_L128_); trivial.
% 83.55/83.80 (* end of lemma zenon_L302_ *)
% 83.55/83.80 assert (zenon_L303_ : (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e11))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (op1 (e12) (e10)) (e10)) = (e12))) -> (~((op1 (e12) (op1 (e12) (e10))) = (e10))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((e11) = (e13))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((e10) = (e13))) -> (~((e11) = (e12))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e13)) -> ((op1 (op1 (e12) (e10)) (e12)) = (e10)) -> ((op1 (e11) (e12)) = (op1 (e12) (e11))) -> ((op1 (e12) (e11)) = (e10)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 83.55/83.80 do 0 intro. intros zenon_H1b0 zenon_H163 zenon_H357 zenon_H34b zenon_H34f zenon_H1a5 zenon_H50 zenon_H1f5 zenon_H16 zenon_H35d zenon_H18e zenon_H360 zenon_H56 zenon_H1e4 zenon_H2cd zenon_H1d8 zenon_H230 zenon_H256 zenon_H1d4 zenon_H252 zenon_H365 zenon_H45 zenon_H229 zenon_H1ee zenon_H25d zenon_H200 zenon_H2e zenon_H1f3 zenon_H32b zenon_H1d9 zenon_H354 zenon_H29d zenon_H181 zenon_H19a zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H2c zenon_H17 zenon_H14 zenon_H25.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H194 | zenon_intro zenon_H1b1 ].
% 83.55/83.80 apply (zenon_L297_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H197 | zenon_intro zenon_H1b2 ].
% 83.55/83.80 apply (zenon_L287_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H19c | zenon_intro zenon_H54 ].
% 83.55/83.80 apply (zenon_L196_); trivial.
% 83.55/83.80 apply (zenon_L19_); trivial.
% 83.55/83.80 (* end of lemma zenon_L303_ *)
% 83.55/83.80 assert (zenon_L304_ : (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e13)) -> ((op1 (op1 (e12) (e10)) (e12)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e12) (op1 (e12) (e12))) = (e12))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((op1 (e12) (e11)) = (e10)) -> (~((op1 (e12) (op1 (e12) (e10))) = (e10))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> False).
% 83.55/83.80 do 0 intro. intros zenon_H1dc zenon_H360 zenon_H1d9 zenon_H354 zenon_H187 zenon_H14 zenon_H2ac zenon_H35d zenon_H2cd zenon_H181 zenon_H34f zenon_H18e zenon_H2c zenon_H1d8.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H1dd ].
% 83.55/83.80 apply (zenon_L276_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H186 | zenon_intro zenon_H1de ].
% 83.55/83.80 apply (zenon_L100_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1da ].
% 83.55/83.80 apply (zenon_L200_); trivial.
% 83.55/83.80 apply (zenon_L293_); trivial.
% 83.55/83.80 (* end of lemma zenon_L304_ *)
% 83.55/83.80 assert (zenon_L305_ : ((op1 (e13) (e12)) = (op1 (e12) (e13))) -> ((op1 (e13) (e12)) = (e10)) -> ((op1 (e12) (e10)) = (e13)) -> (~((op1 (e12) (op1 (e12) (e10))) = (e10))) -> False).
% 83.55/83.80 do 0 intro. intros zenon_H2bc zenon_H19c zenon_H1d9 zenon_H34f.
% 83.55/83.80 elim (classic ((e10) = (e10))); [ zenon_intro zenon_H368 | zenon_intro zenon_H12 ].
% 83.55/83.80 cut (((e10) = (e10)) = ((op1 (e12) (op1 (e12) (e10))) = (e10))).
% 83.55/83.80 intro zenon_D_pnotp.
% 83.55/83.80 apply zenon_H34f.
% 83.55/83.80 rewrite <- zenon_D_pnotp.
% 83.55/83.80 exact zenon_H368.
% 83.55/83.80 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H12].
% 83.55/83.80 cut (((e10) = (op1 (e12) (op1 (e12) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H369].
% 83.55/83.80 congruence.
% 83.55/83.80 cut (((op1 (e13) (e12)) = (op1 (e12) (e13))) = ((e10) = (op1 (e12) (op1 (e12) (e10))))).
% 83.55/83.80 intro zenon_D_pnotp.
% 83.55/83.80 apply zenon_H369.
% 83.55/83.80 rewrite <- zenon_D_pnotp.
% 83.55/83.80 exact zenon_H2bc.
% 83.55/83.80 cut (((op1 (e12) (e13)) = (op1 (e12) (op1 (e12) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H36a].
% 83.55/83.80 cut (((op1 (e13) (e12)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H36b].
% 83.55/83.80 congruence.
% 83.55/83.80 exact (zenon_H36b zenon_H19c).
% 83.55/83.80 cut (((e13) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H2fe].
% 83.55/83.80 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2b].
% 83.55/83.80 congruence.
% 83.55/83.80 apply zenon_H2b. apply refl_equal.
% 83.55/83.80 apply zenon_H2fe. apply sym_equal. exact zenon_H1d9.
% 83.55/83.80 apply zenon_H12. apply refl_equal.
% 83.55/83.80 apply zenon_H12. apply refl_equal.
% 83.55/83.80 (* end of lemma zenon_L305_ *)
% 83.55/83.80 assert (zenon_L306_ : (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (op1 (e12) (e10)) (e10)) = (e12))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e12) (op1 (e13) (e11))) = (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e10)) = (e11)) -> ((op1 (op1 (e12) (e10)) (e12)) = (e10)) -> ((op1 (e12) (e10)) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((op1 (e12) (e11)) = (e10)) -> (~((op1 (e12) (op1 (e12) (e10))) = (e10))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> False).
% 83.55/83.80 do 0 intro. intros zenon_H1dc zenon_H360 zenon_H1a5 zenon_H34b zenon_H187 zenon_H236 zenon_H14 zenon_H17 zenon_H2c9 zenon_H1bf zenon_H195 zenon_H354 zenon_H1d9 zenon_H32b zenon_H2e7 zenon_H35d zenon_H2cd zenon_H181 zenon_H34f zenon_H18e zenon_H2c zenon_H1d8.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H1dd ].
% 83.55/83.80 apply (zenon_L281_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H186 | zenon_intro zenon_H1de ].
% 83.55/83.80 apply (zenon_L100_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1da ].
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H2e7); [ zenon_intro zenon_H197 | zenon_intro zenon_H2eb ].
% 83.55/83.80 apply (zenon_L287_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H2ec ].
% 83.55/83.80 apply (zenon_L113_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H198 | zenon_intro zenon_H235 ].
% 83.55/83.80 apply (zenon_L214_); trivial.
% 83.55/83.80 apply (zenon_L149_); trivial.
% 83.55/83.80 apply (zenon_L293_); trivial.
% 83.55/83.80 (* end of lemma zenon_L306_ *)
% 83.55/83.80 assert (zenon_L307_ : (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (op1 (e12) (e10))) = (e10))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e13)) -> ((op1 (e13) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (op1 (e13) (e11))) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (op1 (e12) (e10)) (e12)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (op1 (e12) (e10)) (e10)) = (e12))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 83.55/83.80 do 0 intro. intros zenon_H357 zenon_H1d8 zenon_H34f zenon_H2cd zenon_H2e7 zenon_H32b zenon_H1d9 zenon_H195 zenon_H1bf zenon_H2c9 zenon_H236 zenon_H187 zenon_H1dc zenon_H360 zenon_H354 zenon_H18e zenon_H1a5 zenon_H34b zenon_H35d zenon_H4d zenon_H50 zenon_H3a zenon_H49 zenon_H2c zenon_H17 zenon_H14 zenon_H25.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H357); [ zenon_intro zenon_H1ff | zenon_intro zenon_H358 ].
% 83.55/83.80 apply (zenon_L268_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H358); [ zenon_intro zenon_H181 | zenon_intro zenon_H359 ].
% 83.55/83.80 apply (zenon_L306_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H359); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H51 ].
% 83.55/83.80 apply (zenon_L281_); trivial.
% 83.55/83.80 apply (zenon_L17_); trivial.
% 83.55/83.80 (* end of lemma zenon_L307_ *)
% 83.55/83.80 assert (zenon_L308_ : (~((op1 (e10) (op1 (e13) (e12))) = (op1 (e10) (e13)))) -> ((op1 (e13) (e12)) = (e13)) -> False).
% 83.55/83.80 do 0 intro. intros zenon_H36c zenon_H36d.
% 83.55/83.80 cut (((op1 (e13) (e12)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H36e].
% 83.55/83.80 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H12].
% 83.55/83.80 congruence.
% 83.55/83.80 apply zenon_H12. apply refl_equal.
% 83.55/83.80 exact (zenon_H36e zenon_H36d).
% 83.55/83.80 (* end of lemma zenon_L308_ *)
% 83.55/83.80 assert (zenon_L309_ : (~((op1 (e10) (op1 (e13) (e12))) = (e10))) -> ((op1 (e10) (e13)) = (e10)) -> ((op1 (e13) (e12)) = (e13)) -> False).
% 83.55/83.80 do 0 intro. intros zenon_H36f zenon_H42 zenon_H36d.
% 83.55/83.80 cut (((op1 (e10) (e13)) = (e10)) = ((op1 (e10) (op1 (e13) (e12))) = (e10))).
% 83.55/83.80 intro zenon_D_pnotp.
% 83.55/83.80 apply zenon_H36f.
% 83.55/83.80 rewrite <- zenon_D_pnotp.
% 83.55/83.80 exact zenon_H42.
% 83.55/83.80 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H12].
% 83.55/83.80 cut (((op1 (e10) (e13)) = (op1 (e10) (op1 (e13) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H370].
% 83.55/83.80 congruence.
% 83.55/83.80 elim (classic ((op1 (e10) (op1 (e13) (e12))) = (op1 (e10) (op1 (e13) (e12))))); [ zenon_intro zenon_H371 | zenon_intro zenon_H372 ].
% 83.55/83.80 cut (((op1 (e10) (op1 (e13) (e12))) = (op1 (e10) (op1 (e13) (e12)))) = ((op1 (e10) (e13)) = (op1 (e10) (op1 (e13) (e12))))).
% 83.55/83.80 intro zenon_D_pnotp.
% 83.55/83.80 apply zenon_H370.
% 83.55/83.80 rewrite <- zenon_D_pnotp.
% 83.55/83.80 exact zenon_H371.
% 83.55/83.80 cut (((op1 (e10) (op1 (e13) (e12))) = (op1 (e10) (op1 (e13) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H372].
% 83.55/83.80 cut (((op1 (e10) (op1 (e13) (e12))) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H36c].
% 83.55/83.80 congruence.
% 83.55/83.80 apply (zenon_L308_); trivial.
% 83.55/83.80 apply zenon_H372. apply refl_equal.
% 83.55/83.80 apply zenon_H372. apply refl_equal.
% 83.55/83.80 apply zenon_H12. apply refl_equal.
% 83.55/83.80 (* end of lemma zenon_L309_ *)
% 83.55/83.80 assert (zenon_L310_ : (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((e10) = (e13))) -> ((op1 (e11) (e12)) = (e10)) -> ((op1 (e12) (e10)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (op1 (e13) (e12))) = (e10))) -> ((op1 (e10) (e13)) = (e10)) -> False).
% 83.55/83.80 do 0 intro. intros zenon_H373 zenon_H1e zenon_H14 zenon_H17 zenon_H200 zenon_H19b zenon_H1d9 zenon_H1d8 zenon_H36f zenon_H42.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H373); [ zenon_intro zenon_H1d | zenon_intro zenon_H374 ].
% 83.55/83.80 apply (zenon_L4_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H374); [ zenon_intro zenon_H1ab | zenon_intro zenon_H375 ].
% 83.55/83.80 apply (zenon_L159_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H375); [ zenon_intro zenon_H1da | zenon_intro zenon_H36d ].
% 83.55/83.80 apply (zenon_L118_); trivial.
% 83.55/83.80 apply (zenon_L309_); trivial.
% 83.55/83.80 (* end of lemma zenon_L310_ *)
% 83.55/83.80 assert (zenon_L311_ : (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (op1 (e13) (e12))) = (e10))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e10)) = (e13)) -> (~((e10) = (e13))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> ((op1 (e12) (e11)) = (e10)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e13)) = (op1 (e13) (e12))) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> False).
% 83.55/83.80 do 0 intro. intros zenon_H256 zenon_H3a zenon_H36f zenon_H1d8 zenon_H1d9 zenon_H200 zenon_H17 zenon_H14 zenon_H1e zenon_H373 zenon_H181 zenon_H1d4 zenon_H2d5 zenon_H42 zenon_H50.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H59 | zenon_intro zenon_H257 ].
% 83.55/83.80 apply (zenon_L21_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H19b | zenon_intro zenon_H258 ].
% 83.55/83.80 apply (zenon_L310_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H19c ].
% 83.55/83.80 apply (zenon_L117_); trivial.
% 83.55/83.80 apply (zenon_L221_); trivial.
% 83.55/83.80 (* end of lemma zenon_L311_ *)
% 83.55/83.80 assert (zenon_L312_ : (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e10)) = (e11)) -> ((op1 (e13) (e13)) = (e11)) -> False).
% 83.55/83.80 do 0 intro. intros zenon_H20a zenon_H195 zenon_H20b.
% 83.55/83.80 cut (((op1 (e13) (e10)) = (e11)) = ((op1 (e13) (e10)) = (op1 (e13) (e13)))).
% 83.55/83.80 intro zenon_D_pnotp.
% 83.55/83.80 apply zenon_H20a.
% 83.55/83.80 rewrite <- zenon_D_pnotp.
% 83.55/83.80 exact zenon_H195.
% 83.55/83.80 cut (((e11) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H20c].
% 83.55/83.80 cut (((op1 (e13) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H16f].
% 83.55/83.80 congruence.
% 83.55/83.80 apply zenon_H16f. apply refl_equal.
% 83.55/83.80 apply zenon_H20c. apply sym_equal. exact zenon_H20b.
% 83.55/83.80 (* end of lemma zenon_L312_ *)
% 83.55/83.80 assert (zenon_L313_ : (~((op1 (e12) (op1 (e13) (e13))) = (op1 (e12) (e12)))) -> ((op1 (e13) (e13)) = (e12)) -> False).
% 83.55/83.80 do 0 intro. intros zenon_H376 zenon_H2da.
% 83.55/83.80 cut (((op1 (e13) (e13)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H377].
% 83.55/83.80 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2b].
% 83.55/83.80 congruence.
% 83.55/83.80 apply zenon_H2b. apply refl_equal.
% 83.55/83.80 exact (zenon_H377 zenon_H2da).
% 83.55/83.80 (* end of lemma zenon_L313_ *)
% 83.55/83.80 assert (zenon_L314_ : (~((op1 (e12) (op1 (e13) (e13))) = (e12))) -> ((op1 (e12) (e12)) = (e12)) -> ((op1 (e13) (e13)) = (e12)) -> False).
% 83.55/83.80 do 0 intro. intros zenon_H378 zenon_H1a7 zenon_H2da.
% 83.55/83.80 cut (((op1 (e12) (e12)) = (e12)) = ((op1 (e12) (op1 (e13) (e13))) = (e12))).
% 83.55/83.80 intro zenon_D_pnotp.
% 83.55/83.80 apply zenon_H378.
% 83.55/83.80 rewrite <- zenon_D_pnotp.
% 83.55/83.80 exact zenon_H1a7.
% 83.55/83.80 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2b].
% 83.55/83.80 cut (((op1 (e12) (e12)) = (op1 (e12) (op1 (e13) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H379].
% 83.55/83.80 congruence.
% 83.55/83.80 elim (classic ((op1 (e12) (op1 (e13) (e13))) = (op1 (e12) (op1 (e13) (e13))))); [ zenon_intro zenon_H37a | zenon_intro zenon_H37b ].
% 83.55/83.80 cut (((op1 (e12) (op1 (e13) (e13))) = (op1 (e12) (op1 (e13) (e13)))) = ((op1 (e12) (e12)) = (op1 (e12) (op1 (e13) (e13))))).
% 83.55/83.80 intro zenon_D_pnotp.
% 83.55/83.80 apply zenon_H379.
% 83.55/83.80 rewrite <- zenon_D_pnotp.
% 83.55/83.80 exact zenon_H37a.
% 83.55/83.80 cut (((op1 (e12) (op1 (e13) (e13))) = (op1 (e12) (op1 (e13) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H37b].
% 83.55/83.80 cut (((op1 (e12) (op1 (e13) (e13))) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H376].
% 83.55/83.80 congruence.
% 83.55/83.80 apply (zenon_L313_); trivial.
% 83.55/83.80 apply zenon_H37b. apply refl_equal.
% 83.55/83.80 apply zenon_H37b. apply refl_equal.
% 83.55/83.80 apply zenon_H2b. apply refl_equal.
% 83.55/83.80 (* end of lemma zenon_L314_ *)
% 83.55/83.80 assert (zenon_L315_ : (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e10)) = (e13)) -> ((op1 (op1 (e12) (e10)) (e12)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e10) (op1 (e13) (e13))) = (e10))) -> (~((op1 (e12) (op1 (e13) (e13))) = (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e10)) = (e11)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((op1 (e12) (e11)) = (e10)) -> (~((op1 (e12) (op1 (e12) (e10))) = (e10))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> False).
% 83.55/83.80 do 0 intro. intros zenon_H1dc zenon_H360 zenon_H1d9 zenon_H354 zenon_H187 zenon_H14 zenon_H42 zenon_H2df zenon_H378 zenon_H20a zenon_H195 zenon_H53 zenon_H2e3 zenon_H35d zenon_H2cd zenon_H181 zenon_H34f zenon_H18e zenon_H2c zenon_H1d8.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H1dd ].
% 83.55/83.80 apply (zenon_L276_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H186 | zenon_intro zenon_H1de ].
% 83.55/83.80 apply (zenon_L100_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1da ].
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H54 | zenon_intro zenon_H2e4 ].
% 83.55/83.80 apply (zenon_L18_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H2e4); [ zenon_intro zenon_H20b | zenon_intro zenon_H2e5 ].
% 83.55/83.80 apply (zenon_L312_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H2da | zenon_intro zenon_H2dd ].
% 83.55/83.80 apply (zenon_L314_); trivial.
% 83.55/83.80 apply (zenon_L225_); trivial.
% 83.55/83.80 apply (zenon_L293_); trivial.
% 83.55/83.80 (* end of lemma zenon_L315_ *)
% 83.55/83.80 assert (zenon_L316_ : ((~((op1 (e12) (op1 (e12) (e10))) = (e10)))/\(((op1 (op1 (e12) (e10)) (e12)) = (e10))/\(~((op1 (op1 (e12) (e10)) (e10)) = (e12))))) -> ((((op1 (e10) (e10)) = (op1 (e10) (e10)))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e10) (e10))) = (e11)))/\((~((op1 (e12) (op1 (e10) (e10))) = (e12)))/\(~((op1 (e13) (op1 (e10) (e10))) = (e13)))))))\/((((op1 (e11) (e10)) = (op1 (e10) (e11)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e10)))/\((~((op1 (e11) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e10) (e11))) = (e12)))/\(~((op1 (e13) (op1 (e10) (e11))) = (e13)))))))\/((((op1 (e12) (e10)) = (op1 (e10) (e12)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e10)))/\((~((op1 (e11) (op1 (e10) (e12))) = (e11)))/\((~((op1 (e12) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e10) (e12))) = (e13)))))))\/((((op1 (e13) (e10)) = (op1 (e10) (e13)))/\((~((op1 (e10) (op1 (e10) (e13))) = (e10)))/\((~((op1 (e11) (op1 (e10) (e13))) = (e11)))/\((~((op1 (e12) (op1 (e10) (e13))) = (e12)))/\(~((op1 (e13) (op1 (e10) (e13))) = (e13)))))))\/((((op1 (e10) (e11)) = (op1 (e11) (e10)))/\((~((op1 (e10) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e10))) = (e11)))/\((~((op1 (e12) (op1 (e11) (e10))) = (e12)))/\(~((op1 (e13) (op1 (e11) (e10))) = (e13)))))))\/((((op1 (e11) (e11)) = (op1 (e11) (e11)))/\((~((op1 (e10) (op1 (e11) (e11))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e11) (e11))) = (e12)))/\(~((op1 (e13) (op1 (e11) (e11))) = (e13)))))))\/((((op1 (e12) (e11)) = (op1 (e11) (e12)))/\((~((op1 (e10) (op1 (e11) (e12))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e11)))/\((~((op1 (e12) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e11) (e12))) = (e13)))))))\/((((op1 (e13) (e11)) = (op1 (e11) (e13)))/\((~((op1 (e10) (op1 (e11) (e13))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e13))) = (e11)))/\((~((op1 (e12) (op1 (e11) (e13))) = (e12)))/\(~((op1 (e13) (op1 (e11) (e13))) = (e13)))))))\/((((op1 (e10) (e12)) = (op1 (e12) (e10)))/\((~((op1 (e10) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e12) (e10))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e10))) = (e12)))/\(~((op1 (e13) (op1 (e12) (e10))) = (e13)))))))\/((((op1 (e11) (e12)) = (op1 (e12) (e11)))/\((~((op1 (e10) (op1 (e12) (e11))) = (e10)))/\((~((op1 (e11) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e12)))/\(~((op1 (e13) (op1 (e12) (e11))) = (e13)))))))\/((((op1 (e12) (e12)) = (op1 (e12) (e12)))/\((~((op1 (e10) (op1 (e12) (e12))) = (e10)))/\((~((op1 (e11) (op1 (e12) (e12))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e12) (e12))) = (e13)))))))\/((((op1 (e13) (e12)) = (op1 (e12) (e13)))/\((~((op1 (e10) (op1 (e12) (e13))) = (e10)))/\((~((op1 (e11) (op1 (e12) (e13))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e13))) = (e12)))/\(~((op1 (e13) (op1 (e12) (e13))) = (e13)))))))\/((((op1 (e10) (e13)) = (op1 (e13) (e10)))/\((~((op1 (e10) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e13) (e10))) = (e11)))/\((~((op1 (e12) (op1 (e13) (e10))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e10))) = (e13)))))))\/((((op1 (e11) (e13)) = (op1 (e13) (e11)))/\((~((op1 (e10) (op1 (e13) (e11))) = (e10)))/\((~((op1 (e11) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e13) (e11))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e11))) = (e13)))))))\/((((op1 (e12) (e13)) = (op1 (e13) (e12)))/\((~((op1 (e10) (op1 (e13) (e12))) = (e10)))/\((~((op1 (e11) (op1 (e13) (e12))) = (e11)))/\((~((op1 (e12) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e12))) = (e13)))))))\/(((op1 (e13) (e13)) = (op1 (e13) (e13)))/\((~((op1 (e10) (op1 (e13) (e13))) = (e10)))/\((~((op1 (e11) (op1 (e13) (e13))) = (e11)))/\((~((op1 (e12) (op1 (e13) (e13))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13)))))))))))))))))))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((e12) = (e13))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((e10) = (e12))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e11) = (e12))) -> (~((e10) = (e13))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((e11) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((e10) = (e11))) -> False).
% 83.55/83.80 do 0 intro. intros zenon_H37c zenon_H37d zenon_H23d zenon_H249 zenon_H16d zenon_H1b9 zenon_H1f4 zenon_H25a zenon_H1c9 zenon_H1b6 zenon_H1cf zenon_H1e8 zenon_H1c8 zenon_H1b0 zenon_H236 zenon_H1bf zenon_H32b zenon_H2e7 zenon_H373 zenon_H1e zenon_H220 zenon_H3f zenon_H1dc zenon_H187 zenon_H20a zenon_H2e3 zenon_H1ad zenon_H1a0 zenon_H1a9 zenon_H1f3 zenon_H2e zenon_H200 zenon_H25d zenon_H1ee zenon_H229 zenon_H53 zenon_H45 zenon_H365 zenon_H252 zenon_H1d4 zenon_H19a zenon_H256 zenon_H230 zenon_H1d8 zenon_H2cd zenon_H1e4 zenon_H56 zenon_H360 zenon_H18e zenon_H35d zenon_H16 zenon_H1f5 zenon_H25 zenon_H14 zenon_H17 zenon_H2c zenon_H49 zenon_H3a zenon_H50 zenon_H4d zenon_H1a5 zenon_H357 zenon_H163.
% 83.55/83.80 apply (zenon_and_s _ _ zenon_H37c). zenon_intro zenon_H34f. zenon_intro zenon_H37e.
% 83.55/83.80 apply (zenon_and_s _ _ zenon_H37e). zenon_intro zenon_H354. zenon_intro zenon_H34b.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H380 | zenon_intro zenon_H37f ].
% 83.55/83.80 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H1a. zenon_intro zenon_H381.
% 83.55/83.80 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H9e. zenon_intro zenon_H382.
% 83.55/83.80 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H384. zenon_intro zenon_H383.
% 83.55/83.80 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H1e0. zenon_intro zenon_H385.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ].
% 83.55/83.80 apply (zenon_L11_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ].
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H2d | zenon_intro zenon_H1f6 ].
% 83.55/83.80 apply (zenon_L7_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H162 | zenon_intro zenon_H1f7 ].
% 83.55/83.80 apply (zenon_L90_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H16c | zenon_intro zenon_H195 ].
% 83.55/83.80 apply (zenon_L271_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H18 | zenon_intro zenon_H1f8 ].
% 83.55/83.80 apply (zenon_L3_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1f9 ].
% 83.55/83.80 apply (zenon_L282_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1d9 | zenon_intro zenon_H1ed ].
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H43 | zenon_intro zenon_H1ca ].
% 83.55/83.80 apply (zenon_L20_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H177 | zenon_intro zenon_H1cb ].
% 83.55/83.80 apply (zenon_L284_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H181 | zenon_intro zenon_H197 ].
% 83.55/83.80 apply (zenon_L286_); trivial.
% 83.55/83.80 apply (zenon_L287_); trivial.
% 83.55/83.80 apply (zenon_L128_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ].
% 83.55/83.80 apply (zenon_L268_); trivial.
% 83.55/83.80 apply (zenon_L297_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H23c | zenon_intro zenon_H386 ].
% 83.55/83.80 apply (zenon_L150_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H388 | zenon_intro zenon_H387 ].
% 83.55/83.80 apply (zenon_and_s _ _ zenon_H388). zenon_intro zenon_H245. zenon_intro zenon_H389.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ].
% 83.55/83.80 apply (zenon_L11_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ].
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H2d | zenon_intro zenon_H24a ].
% 83.55/83.80 apply (zenon_L7_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H34 | zenon_intro zenon_H24b ].
% 83.55/83.80 apply (zenon_L9_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H244 | zenon_intro zenon_H39 ].
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H2d | zenon_intro zenon_H1f6 ].
% 83.55/83.80 apply (zenon_L7_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H162 | zenon_intro zenon_H1f7 ].
% 83.55/83.80 apply (zenon_L90_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H16c | zenon_intro zenon_H195 ].
% 83.55/83.80 apply (zenon_L271_); trivial.
% 83.55/83.80 apply (zenon_L153_); trivial.
% 83.55/83.80 apply (zenon_L10_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ].
% 83.55/83.80 apply (zenon_L268_); trivial.
% 83.55/83.80 apply (zenon_L297_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H38b | zenon_intro zenon_H38a ].
% 83.55/83.80 apply (zenon_and_s _ _ zenon_H38b). zenon_intro zenon_H253. zenon_intro zenon_H38c.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ].
% 83.55/83.80 apply (zenon_L11_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ].
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H2d | zenon_intro zenon_H1f6 ].
% 83.55/83.80 apply (zenon_L7_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H162 | zenon_intro zenon_H1f7 ].
% 83.55/83.80 apply (zenon_L90_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H16c | zenon_intro zenon_H195 ].
% 83.55/83.80 apply (zenon_L271_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H18 | zenon_intro zenon_H1f8 ].
% 83.55/83.80 apply (zenon_L3_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1f9 ].
% 83.55/83.80 apply (zenon_L282_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1d9 | zenon_intro zenon_H1ed ].
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H43 | zenon_intro zenon_H1ca ].
% 83.55/83.80 apply (zenon_L20_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H177 | zenon_intro zenon_H1cb ].
% 83.55/83.80 apply (zenon_L284_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H181 | zenon_intro zenon_H197 ].
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H162 | zenon_intro zenon_H1fa ].
% 83.55/83.80 apply (zenon_L90_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H17e | zenon_intro zenon_H1fb ].
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1ce | zenon_intro zenon_H1e9 ].
% 83.55/83.80 apply (zenon_L116_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H17f | zenon_intro zenon_H1ea ].
% 83.55/83.80 apply (zenon_L97_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1e5 ].
% 83.55/83.80 apply (zenon_L277_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H17a | zenon_intro zenon_H1bb ].
% 83.55/83.80 apply (zenon_L95_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H17f | zenon_intro zenon_H1bc ].
% 83.55/83.80 apply (zenon_L97_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H182 | zenon_intro zenon_H198 ].
% 83.55/83.80 apply (zenon_L98_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H1aa | zenon_intro zenon_H25e ].
% 83.55/83.80 apply (zenon_L280_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H228 | zenon_intro zenon_H25f ].
% 83.55/83.80 apply (zenon_L147_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H25f); [ zenon_intro zenon_H1ab | zenon_intro zenon_H259 ].
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H194 | zenon_intro zenon_H1b1 ].
% 83.55/83.80 apply (zenon_L290_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H197 | zenon_intro zenon_H1b2 ].
% 83.55/83.80 apply (zenon_L103_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H19c | zenon_intro zenon_H54 ].
% 83.55/83.80 apply (zenon_L298_); trivial.
% 83.55/83.80 apply (zenon_L19_); trivial.
% 83.55/83.80 apply (zenon_L162_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H19f | zenon_intro zenon_H1eb ].
% 83.55/83.80 apply (zenon_L105_); trivial.
% 83.55/83.80 apply (zenon_L285_); trivial.
% 83.55/83.80 apply (zenon_L287_); trivial.
% 83.55/83.80 apply (zenon_L128_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ].
% 83.55/83.80 apply (zenon_L268_); trivial.
% 83.55/83.80 apply (zenon_L297_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H38e | zenon_intro zenon_H38d ].
% 83.55/83.80 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_H260. zenon_intro zenon_H38f.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ].
% 83.55/83.80 apply (zenon_L11_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ].
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H2d | zenon_intro zenon_H1f6 ].
% 83.55/83.80 apply (zenon_L7_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H162 | zenon_intro zenon_H1f7 ].
% 83.55/83.80 apply (zenon_L90_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H16c | zenon_intro zenon_H195 ].
% 83.55/83.80 apply (zenon_L271_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H18 | zenon_intro zenon_H1f8 ].
% 83.55/83.80 apply (zenon_L3_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1f9 ].
% 83.55/83.80 apply (zenon_L282_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1d9 | zenon_intro zenon_H1ed ].
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H43 | zenon_intro zenon_H1ca ].
% 83.55/83.80 apply (zenon_L20_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H177 | zenon_intro zenon_H1cb ].
% 83.55/83.80 apply (zenon_L284_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H181 | zenon_intro zenon_H197 ].
% 83.55/83.80 apply (zenon_L166_); trivial.
% 83.55/83.80 apply (zenon_L287_); trivial.
% 83.55/83.80 apply (zenon_L128_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ].
% 83.55/83.80 apply (zenon_L268_); trivial.
% 83.55/83.80 apply (zenon_L297_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H391 | zenon_intro zenon_H390 ].
% 83.55/83.80 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H22a. zenon_intro zenon_H392.
% 83.55/83.80 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H394. zenon_intro zenon_H393.
% 83.55/83.80 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H266. zenon_intro zenon_H395.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ].
% 83.55/83.80 apply (zenon_L11_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ].
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H2d | zenon_intro zenon_H1f6 ].
% 83.55/83.80 apply (zenon_L7_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H162 | zenon_intro zenon_H1f7 ].
% 83.55/83.80 apply (zenon_L90_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H16c | zenon_intro zenon_H195 ].
% 83.55/83.80 apply (zenon_L271_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H18 | zenon_intro zenon_H1f8 ].
% 83.55/83.80 apply (zenon_L3_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1f9 ].
% 83.55/83.80 apply (zenon_L282_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1d9 | zenon_intro zenon_H1ed ].
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H43 | zenon_intro zenon_H1ca ].
% 83.55/83.80 apply (zenon_L20_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H177 | zenon_intro zenon_H1cb ].
% 83.55/83.80 apply (zenon_L284_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H181 | zenon_intro zenon_H197 ].
% 83.55/83.80 apply (zenon_L299_); trivial.
% 83.55/83.80 apply (zenon_L287_); trivial.
% 83.55/83.80 apply (zenon_L128_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ].
% 83.55/83.80 apply (zenon_L268_); trivial.
% 83.55/83.80 apply (zenon_L297_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H275 | zenon_intro zenon_H396 ].
% 83.55/83.80 apply (zenon_and_s _ _ zenon_H275). zenon_intro zenon_H270. zenon_intro zenon_H277.
% 83.55/83.80 apply (zenon_and_s _ _ zenon_H277). zenon_intro zenon_H26b. zenon_intro zenon_H278.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ].
% 83.55/83.80 apply (zenon_L11_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ].
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H2d | zenon_intro zenon_H1f6 ].
% 83.55/83.80 apply (zenon_L7_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H162 | zenon_intro zenon_H1f7 ].
% 83.55/83.80 apply (zenon_L90_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H16c | zenon_intro zenon_H195 ].
% 83.55/83.80 apply (zenon_L271_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H18 | zenon_intro zenon_H1f8 ].
% 83.55/83.80 apply (zenon_L3_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1f9 ].
% 83.55/83.80 apply (zenon_L282_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1d9 | zenon_intro zenon_H1ed ].
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H43 | zenon_intro zenon_H1ca ].
% 83.55/83.80 apply (zenon_L20_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H177 | zenon_intro zenon_H1cb ].
% 83.55/83.80 apply (zenon_L284_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H181 | zenon_intro zenon_H197 ].
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H162 | zenon_intro zenon_H1fa ].
% 83.55/83.80 apply (zenon_L90_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H17e | zenon_intro zenon_H1fb ].
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1ce | zenon_intro zenon_H1e9 ].
% 83.55/83.80 apply (zenon_L116_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H17f | zenon_intro zenon_H1ea ].
% 83.55/83.80 apply (zenon_L97_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1e5 ].
% 83.55/83.80 apply (zenon_L277_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H1aa | zenon_intro zenon_H25e ].
% 83.55/83.80 apply (zenon_L280_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H228 | zenon_intro zenon_H25f ].
% 83.55/83.80 apply (zenon_L147_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H25f); [ zenon_intro zenon_H1ab | zenon_intro zenon_H259 ].
% 83.55/83.80 apply (zenon_L300_); trivial.
% 83.55/83.80 apply (zenon_L162_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H19f | zenon_intro zenon_H1eb ].
% 83.55/83.80 apply (zenon_L105_); trivial.
% 83.55/83.80 apply (zenon_L285_); trivial.
% 83.55/83.80 apply (zenon_L287_); trivial.
% 83.55/83.80 apply (zenon_L128_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ].
% 83.55/83.80 apply (zenon_L268_); trivial.
% 83.55/83.80 apply (zenon_L297_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H281 | zenon_intro zenon_H397 ].
% 83.55/83.80 apply (zenon_and_s _ _ zenon_H281). zenon_intro zenon_H284. zenon_intro zenon_H283.
% 83.55/83.80 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H286. zenon_intro zenon_H285.
% 83.55/83.80 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H288. zenon_intro zenon_H287.
% 83.55/83.80 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_H27d. zenon_intro zenon_H289.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ].
% 83.55/83.80 apply (zenon_L11_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ].
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H2d | zenon_intro zenon_H1f6 ].
% 83.55/83.80 apply (zenon_L7_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H162 | zenon_intro zenon_H1f7 ].
% 83.55/83.80 apply (zenon_L90_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H16c | zenon_intro zenon_H195 ].
% 83.55/83.80 apply (zenon_L271_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H18 | zenon_intro zenon_H1f8 ].
% 83.55/83.80 apply (zenon_L3_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1f9 ].
% 83.55/83.80 apply (zenon_L282_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1d9 | zenon_intro zenon_H1ed ].
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H43 | zenon_intro zenon_H1ca ].
% 83.55/83.80 apply (zenon_L20_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H177 | zenon_intro zenon_H1cb ].
% 83.55/83.80 apply (zenon_L284_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H181 | zenon_intro zenon_H197 ].
% 83.55/83.80 apply (zenon_L188_); trivial.
% 83.55/83.80 apply (zenon_L287_); trivial.
% 83.55/83.80 apply (zenon_L128_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ].
% 83.55/83.80 apply (zenon_L268_); trivial.
% 83.55/83.80 apply (zenon_L297_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H294 | zenon_intro zenon_H398 ].
% 83.55/83.80 apply (zenon_and_s _ _ zenon_H294). zenon_intro zenon_H293. zenon_intro zenon_H295.
% 83.55/83.80 apply (zenon_and_s _ _ zenon_H295). zenon_intro zenon_H28f. zenon_intro zenon_H296.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ].
% 83.55/83.80 apply (zenon_L11_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ].
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H2d | zenon_intro zenon_H1f6 ].
% 83.55/83.80 apply (zenon_L7_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H162 | zenon_intro zenon_H1f7 ].
% 83.55/83.80 apply (zenon_L90_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H16c | zenon_intro zenon_H195 ].
% 83.55/83.80 apply (zenon_L271_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H42 | zenon_intro zenon_H57 ].
% 83.55/83.80 apply (zenon_L302_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H57); [ zenon_intro zenon_H46 | zenon_intro zenon_H58 ].
% 83.55/83.80 apply (zenon_L15_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H51 | zenon_intro zenon_H54 ].
% 83.55/83.80 apply (zenon_L17_); trivial.
% 83.55/83.80 apply (zenon_L19_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ].
% 83.55/83.80 apply (zenon_L268_); trivial.
% 83.55/83.80 apply (zenon_L297_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H399 ].
% 83.55/83.80 apply (zenon_and_s _ _ zenon_H2a4). zenon_intro zenon_H29d. zenon_intro zenon_H2a5.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ].
% 83.55/83.80 apply (zenon_L11_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ].
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H2d | zenon_intro zenon_H1f6 ].
% 83.55/83.80 apply (zenon_L7_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H162 | zenon_intro zenon_H1f7 ].
% 83.55/83.80 apply (zenon_L90_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H16c | zenon_intro zenon_H195 ].
% 83.55/83.80 apply (zenon_L271_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H18 | zenon_intro zenon_H1f8 ].
% 83.55/83.80 apply (zenon_L3_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1f9 ].
% 83.55/83.80 apply (zenon_L282_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1d9 | zenon_intro zenon_H1ed ].
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H357); [ zenon_intro zenon_H1ff | zenon_intro zenon_H358 ].
% 83.55/83.80 apply (zenon_L268_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H358); [ zenon_intro zenon_H181 | zenon_intro zenon_H359 ].
% 83.55/83.80 apply (zenon_L303_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H359); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H51 ].
% 83.55/83.80 apply (zenon_L281_); trivial.
% 83.55/83.80 apply (zenon_L17_); trivial.
% 83.55/83.80 apply (zenon_L128_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ].
% 83.55/83.80 apply (zenon_L268_); trivial.
% 83.55/83.80 apply (zenon_L297_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H39a ].
% 83.55/83.80 apply (zenon_and_s _ _ zenon_H2b2). zenon_intro zenon_H188. zenon_intro zenon_H2b3.
% 83.55/83.80 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_H2b5. zenon_intro zenon_H2b4.
% 83.55/83.80 apply (zenon_and_s _ _ zenon_H2b4). zenon_intro zenon_H2b7. zenon_intro zenon_H2b6.
% 83.55/83.80 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H2ac. zenon_intro zenon_H2b8.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ].
% 83.55/83.80 apply (zenon_L11_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ].
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H2d | zenon_intro zenon_H1f6 ].
% 83.55/83.80 apply (zenon_L7_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H162 | zenon_intro zenon_H1f7 ].
% 83.55/83.80 apply (zenon_L90_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H16c | zenon_intro zenon_H195 ].
% 83.55/83.80 apply (zenon_L271_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H18 | zenon_intro zenon_H1f8 ].
% 83.55/83.80 apply (zenon_L3_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1f9 ].
% 83.55/83.80 apply (zenon_L282_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1d9 | zenon_intro zenon_H1ed ].
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H357); [ zenon_intro zenon_H1ff | zenon_intro zenon_H358 ].
% 83.55/83.80 apply (zenon_L131_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H358); [ zenon_intro zenon_H181 | zenon_intro zenon_H359 ].
% 83.55/83.80 apply (zenon_L304_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H359); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H51 ].
% 83.55/83.80 apply (zenon_L276_); trivial.
% 83.55/83.80 apply (zenon_L17_); trivial.
% 83.55/83.80 apply (zenon_L128_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ].
% 83.55/83.80 apply (zenon_L268_); trivial.
% 83.55/83.80 apply (zenon_L297_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H39b ].
% 83.55/83.80 apply (zenon_and_s _ _ zenon_H2c2). zenon_intro zenon_H2bc. zenon_intro zenon_H2c3.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ].
% 83.55/83.80 apply (zenon_L11_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ].
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H2d | zenon_intro zenon_H1f6 ].
% 83.55/83.80 apply (zenon_L7_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H162 | zenon_intro zenon_H1f7 ].
% 83.55/83.80 apply (zenon_L90_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H16c | zenon_intro zenon_H195 ].
% 83.55/83.80 apply (zenon_L271_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H18 | zenon_intro zenon_H1f8 ].
% 83.55/83.80 apply (zenon_L3_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1f9 ].
% 83.55/83.80 apply (zenon_L282_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1d9 | zenon_intro zenon_H1ed ].
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H194 | zenon_intro zenon_H1b1 ].
% 83.55/83.80 apply (zenon_L297_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H197 | zenon_intro zenon_H1b2 ].
% 83.55/83.80 apply (zenon_L287_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H19c | zenon_intro zenon_H54 ].
% 83.55/83.80 apply (zenon_L305_); trivial.
% 83.55/83.80 apply (zenon_L19_); trivial.
% 83.55/83.80 apply (zenon_L128_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ].
% 83.55/83.80 apply (zenon_L268_); trivial.
% 83.55/83.80 apply (zenon_L297_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H39c ].
% 83.55/83.80 apply (zenon_and_s _ _ zenon_H2c5). zenon_intro zenon_H2c4. zenon_intro zenon_H2c6.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ].
% 83.55/83.80 apply (zenon_L11_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ].
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H2d | zenon_intro zenon_H1f6 ].
% 83.55/83.80 apply (zenon_L7_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H162 | zenon_intro zenon_H1f7 ].
% 83.55/83.80 apply (zenon_L90_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H16c | zenon_intro zenon_H195 ].
% 83.55/83.80 apply (zenon_L271_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H18 | zenon_intro zenon_H1f8 ].
% 83.55/83.80 apply (zenon_L3_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1f9 ].
% 83.55/83.80 apply (zenon_L282_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1d9 | zenon_intro zenon_H1ed ].
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H194 | zenon_intro zenon_H1b1 ].
% 83.55/83.80 apply (zenon_L297_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H197 | zenon_intro zenon_H1b2 ].
% 83.55/83.80 apply (zenon_L287_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H19c | zenon_intro zenon_H54 ].
% 83.55/83.80 apply (zenon_L208_); trivial.
% 83.55/83.80 apply (zenon_L19_); trivial.
% 83.55/83.80 apply (zenon_L128_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ].
% 83.55/83.80 apply (zenon_L268_); trivial.
% 83.55/83.80 apply (zenon_L297_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H2ce | zenon_intro zenon_H39d ].
% 83.55/83.80 apply (zenon_and_s _ _ zenon_H2ce). zenon_intro zenon_H2c7. zenon_intro zenon_H2cf.
% 83.55/83.80 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H2d1. zenon_intro zenon_H2d0.
% 83.55/83.80 apply (zenon_and_s _ _ zenon_H2d0). zenon_intro zenon_H2d3. zenon_intro zenon_H2d2.
% 83.55/83.80 apply (zenon_and_s _ _ zenon_H2d2). zenon_intro zenon_H2c9. zenon_intro zenon_H2d4.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ].
% 83.55/83.80 apply (zenon_L11_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ].
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H2d | zenon_intro zenon_H1f6 ].
% 83.55/83.80 apply (zenon_L7_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H162 | zenon_intro zenon_H1f7 ].
% 83.55/83.80 apply (zenon_L90_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H16c | zenon_intro zenon_H195 ].
% 83.55/83.80 apply (zenon_L271_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H18 | zenon_intro zenon_H1f8 ].
% 83.55/83.80 apply (zenon_L3_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1f9 ].
% 83.55/83.80 apply (zenon_L282_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1d9 | zenon_intro zenon_H1ed ].
% 83.55/83.80 apply (zenon_L307_); trivial.
% 83.55/83.80 apply (zenon_L128_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ].
% 83.55/83.80 apply (zenon_L268_); trivial.
% 83.55/83.80 apply (zenon_L297_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2e6 ].
% 83.55/83.80 apply (zenon_and_s _ _ zenon_H2d7). zenon_intro zenon_H2d5. zenon_intro zenon_H2d8.
% 83.55/83.80 apply (zenon_and_s _ _ zenon_H2d8). zenon_intro zenon_H36f. zenon_intro zenon_H39e.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ].
% 83.55/83.80 apply (zenon_L11_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ].
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H2d | zenon_intro zenon_H1f6 ].
% 83.55/83.80 apply (zenon_L7_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H162 | zenon_intro zenon_H1f7 ].
% 83.55/83.80 apply (zenon_L90_); trivial.
% 83.55/83.80 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H16c | zenon_intro zenon_H195 ].
% 83.65/83.80 apply (zenon_L271_); trivial.
% 83.65/83.80 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H18 | zenon_intro zenon_H1f8 ].
% 83.65/83.80 apply (zenon_L3_); trivial.
% 83.65/83.80 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1f9 ].
% 83.65/83.80 apply (zenon_L282_); trivial.
% 83.65/83.80 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1d9 | zenon_intro zenon_H1ed ].
% 83.65/83.80 apply (zenon_or_s _ _ zenon_H357); [ zenon_intro zenon_H1ff | zenon_intro zenon_H358 ].
% 83.65/83.80 apply (zenon_L131_); trivial.
% 83.65/83.80 apply (zenon_or_s _ _ zenon_H358); [ zenon_intro zenon_H181 | zenon_intro zenon_H359 ].
% 83.65/83.80 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H42 | zenon_intro zenon_H57 ].
% 83.65/83.80 apply (zenon_L311_); trivial.
% 83.65/83.80 apply (zenon_or_s _ _ zenon_H57); [ zenon_intro zenon_H46 | zenon_intro zenon_H58 ].
% 83.65/83.80 apply (zenon_L15_); trivial.
% 83.65/83.80 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H51 | zenon_intro zenon_H54 ].
% 83.65/83.80 apply (zenon_L17_); trivial.
% 83.65/83.80 apply (zenon_L19_); trivial.
% 83.65/83.80 apply (zenon_or_s _ _ zenon_H359); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H51 ].
% 83.65/83.80 apply (zenon_L276_); trivial.
% 83.65/83.80 apply (zenon_L17_); trivial.
% 83.65/83.80 apply (zenon_L128_); trivial.
% 83.65/83.80 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ].
% 83.65/83.80 apply (zenon_L268_); trivial.
% 83.65/83.80 apply (zenon_L297_); trivial.
% 83.65/83.80 apply (zenon_and_s _ _ zenon_H2e6). zenon_intro zenon_H2e9. zenon_intro zenon_H2e8.
% 83.65/83.80 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H2df. zenon_intro zenon_H2ea.
% 83.65/83.80 apply (zenon_and_s _ _ zenon_H2ea). zenon_intro zenon_H3a0. zenon_intro zenon_H39f.
% 83.65/83.80 apply (zenon_and_s _ _ zenon_H39f). zenon_intro zenon_H378. zenon_intro zenon_H3a1.
% 83.65/83.80 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ].
% 83.65/83.80 apply (zenon_L11_); trivial.
% 83.65/83.80 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ].
% 83.65/83.80 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H2d | zenon_intro zenon_H1f6 ].
% 83.65/83.80 apply (zenon_L7_); trivial.
% 83.65/83.80 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H162 | zenon_intro zenon_H1f7 ].
% 83.65/83.80 apply (zenon_L90_); trivial.
% 83.65/83.80 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H16c | zenon_intro zenon_H195 ].
% 83.65/83.80 apply (zenon_L271_); trivial.
% 83.65/83.80 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H18 | zenon_intro zenon_H1f8 ].
% 83.65/83.80 apply (zenon_L3_); trivial.
% 83.65/83.80 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1f9 ].
% 83.65/83.80 apply (zenon_L282_); trivial.
% 83.65/83.80 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1d9 | zenon_intro zenon_H1ed ].
% 83.65/83.80 apply (zenon_or_s _ _ zenon_H357); [ zenon_intro zenon_H1ff | zenon_intro zenon_H358 ].
% 83.65/83.80 apply (zenon_L131_); trivial.
% 83.65/83.80 apply (zenon_or_s _ _ zenon_H358); [ zenon_intro zenon_H181 | zenon_intro zenon_H359 ].
% 83.65/83.80 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H42 | zenon_intro zenon_H57 ].
% 83.65/83.80 apply (zenon_L315_); trivial.
% 83.65/83.80 apply (zenon_or_s _ _ zenon_H57); [ zenon_intro zenon_H46 | zenon_intro zenon_H58 ].
% 83.65/83.80 apply (zenon_L15_); trivial.
% 83.65/83.80 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H51 | zenon_intro zenon_H54 ].
% 83.65/83.80 apply (zenon_L17_); trivial.
% 83.65/83.80 apply (zenon_L19_); trivial.
% 83.65/83.80 apply (zenon_or_s _ _ zenon_H359); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H51 ].
% 83.65/83.80 apply (zenon_L276_); trivial.
% 83.65/83.80 apply (zenon_L17_); trivial.
% 83.65/83.80 apply (zenon_L128_); trivial.
% 83.65/83.80 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ].
% 83.65/83.80 apply (zenon_L268_); trivial.
% 83.65/83.80 apply (zenon_L297_); trivial.
% 83.65/83.80 (* end of lemma zenon_L316_ *)
% 83.65/83.80 assert (zenon_L317_ : (~((op1 (e11) (e12)) = (op1 (op1 (e12) (e11)) (e12)))) -> ((op1 (e12) (e11)) = (e11)) -> False).
% 83.65/83.80 do 0 intro. intros zenon_H3a2 zenon_H184.
% 83.65/83.80 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2b].
% 83.65/83.80 cut (((e11) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H28b].
% 83.65/83.80 congruence.
% 83.65/83.80 apply zenon_H28b. apply sym_equal. exact zenon_H184.
% 83.65/83.80 apply zenon_H2b. apply refl_equal.
% 83.65/83.80 (* end of lemma zenon_L317_ *)
% 83.65/83.80 assert (zenon_L318_ : ((op1 (op1 (e12) (e11)) (e12)) = (e11)) -> ((op1 (e12) (e11)) = (e11)) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> False).
% 83.65/83.80 do 0 intro. intros zenon_H3a3 zenon_H184 zenon_H244 zenon_H1a0.
% 83.65/83.80 elim (classic ((op1 (e11) (e12)) = (op1 (e11) (e12)))); [ zenon_intro zenon_H1a1 | zenon_intro zenon_H19e ].
% 83.65/83.80 cut (((op1 (e11) (e12)) = (op1 (e11) (e12))) = ((op1 (e10) (e12)) = (op1 (e11) (e12)))).
% 83.65/83.80 intro zenon_D_pnotp.
% 83.65/83.80 apply zenon_H1a0.
% 83.65/83.80 rewrite <- zenon_D_pnotp.
% 83.65/83.80 exact zenon_H1a1.
% 83.65/83.80 cut (((op1 (e11) (e12)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H19e].
% 83.65/83.80 cut (((op1 (e11) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1a2].
% 83.65/83.80 congruence.
% 83.65/83.80 cut (((op1 (op1 (e12) (e11)) (e12)) = (e11)) = ((op1 (e11) (e12)) = (op1 (e10) (e12)))).
% 83.65/83.80 intro zenon_D_pnotp.
% 83.65/83.80 apply zenon_H1a2.
% 83.65/83.80 rewrite <- zenon_D_pnotp.
% 83.65/83.80 exact zenon_H3a3.
% 83.65/83.80 cut (((e11) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H2ee].
% 83.65/83.80 cut (((op1 (op1 (e12) (e11)) (e12)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H3a4].
% 83.65/83.80 congruence.
% 83.65/83.80 elim (classic ((op1 (e11) (e12)) = (op1 (e11) (e12)))); [ zenon_intro zenon_H1a1 | zenon_intro zenon_H19e ].
% 83.65/83.80 cut (((op1 (e11) (e12)) = (op1 (e11) (e12))) = ((op1 (op1 (e12) (e11)) (e12)) = (op1 (e11) (e12)))).
% 83.65/83.80 intro zenon_D_pnotp.
% 83.65/83.80 apply zenon_H3a4.
% 83.65/83.80 rewrite <- zenon_D_pnotp.
% 83.65/83.80 exact zenon_H1a1.
% 83.65/83.80 cut (((op1 (e11) (e12)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H19e].
% 83.65/83.80 cut (((op1 (e11) (e12)) = (op1 (op1 (e12) (e11)) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H3a2].
% 83.65/83.80 congruence.
% 83.65/83.80 apply (zenon_L317_); trivial.
% 83.65/83.80 apply zenon_H19e. apply refl_equal.
% 83.65/83.80 apply zenon_H19e. apply refl_equal.
% 83.65/83.80 apply zenon_H2ee. apply sym_equal. exact zenon_H244.
% 83.65/83.80 apply zenon_H19e. apply refl_equal.
% 83.65/83.80 apply zenon_H19e. apply refl_equal.
% 83.65/83.80 (* end of lemma zenon_L318_ *)
% 83.65/83.80 assert (zenon_L319_ : ((op1 (op1 (e12) (e11)) (e12)) = (e11)) -> ((op1 (e12) (e11)) = (e12)) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> False).
% 83.65/83.80 do 0 intro. intros zenon_H3a3 zenon_H182 zenon_H244 zenon_H187.
% 83.65/83.80 elim (classic ((op1 (e12) (e12)) = (op1 (e12) (e12)))); [ zenon_intro zenon_H188 | zenon_intro zenon_H189 ].
% 83.65/83.80 cut (((op1 (e12) (e12)) = (op1 (e12) (e12))) = ((op1 (e10) (e12)) = (op1 (e12) (e12)))).
% 83.65/83.80 intro zenon_D_pnotp.
% 83.65/83.80 apply zenon_H187.
% 83.65/83.80 rewrite <- zenon_D_pnotp.
% 83.65/83.80 exact zenon_H188.
% 83.65/83.80 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H189].
% 83.65/83.80 cut (((op1 (e12) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H18a].
% 83.65/83.80 congruence.
% 83.65/83.80 cut (((op1 (op1 (e12) (e11)) (e12)) = (e11)) = ((op1 (e12) (e12)) = (op1 (e10) (e12)))).
% 83.65/83.80 intro zenon_D_pnotp.
% 83.65/83.80 apply zenon_H18a.
% 83.65/83.80 rewrite <- zenon_D_pnotp.
% 83.65/83.80 exact zenon_H3a3.
% 83.65/83.80 cut (((e11) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H2ee].
% 83.65/83.80 cut (((op1 (op1 (e12) (e11)) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H3a5].
% 83.65/83.80 congruence.
% 83.65/83.80 elim (classic ((op1 (e12) (e12)) = (op1 (e12) (e12)))); [ zenon_intro zenon_H188 | zenon_intro zenon_H189 ].
% 83.65/83.80 cut (((op1 (e12) (e12)) = (op1 (e12) (e12))) = ((op1 (op1 (e12) (e11)) (e12)) = (op1 (e12) (e12)))).
% 83.65/83.80 intro zenon_D_pnotp.
% 83.65/83.80 apply zenon_H3a5.
% 83.65/83.80 rewrite <- zenon_D_pnotp.
% 83.65/83.80 exact zenon_H188.
% 83.65/83.80 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H189].
% 83.65/83.80 cut (((op1 (e12) (e12)) = (op1 (op1 (e12) (e11)) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H3a6].
% 83.65/83.80 congruence.
% 83.65/83.80 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2b].
% 83.65/83.80 cut (((e12) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H3a7].
% 83.65/83.80 congruence.
% 83.65/83.80 apply zenon_H3a7. apply sym_equal. exact zenon_H182.
% 83.65/83.80 apply zenon_H2b. apply refl_equal.
% 83.65/83.80 apply zenon_H189. apply refl_equal.
% 83.65/83.80 apply zenon_H189. apply refl_equal.
% 83.65/83.80 apply zenon_H2ee. apply sym_equal. exact zenon_H244.
% 83.65/83.80 apply zenon_H189. apply refl_equal.
% 83.65/83.80 apply zenon_H189. apply refl_equal.
% 83.65/83.80 (* end of lemma zenon_L319_ *)
% 83.65/83.80 assert (zenon_L320_ : (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> ((op1 (e12) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (op1 (e12) (e11)) (e12)) = (e11)) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> False).
% 83.65/83.80 do 0 intro. intros zenon_H3a8 zenon_H1ff zenon_H2cd zenon_H1a0 zenon_H187 zenon_H244 zenon_H3a3 zenon_H17 zenon_H14 zenon_H230.
% 83.65/83.80 apply (zenon_or_s _ _ zenon_H3a8); [ zenon_intro zenon_H181 | zenon_intro zenon_H3a9 ].
% 83.65/83.80 apply (zenon_L218_); trivial.
% 83.65/83.80 apply (zenon_or_s _ _ zenon_H3a9); [ zenon_intro zenon_H184 | zenon_intro zenon_H3aa ].
% 83.65/83.80 apply (zenon_L318_); trivial.
% 83.65/83.80 apply (zenon_or_s _ _ zenon_H3aa); [ zenon_intro zenon_H182 | zenon_intro zenon_H22f ].
% 83.65/83.80 apply (zenon_L319_); trivial.
% 83.65/83.80 apply (zenon_L148_); trivial.
% 83.65/83.80 (* end of lemma zenon_L320_ *)
% 83.65/83.80 assert (zenon_L321_ : (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((op1 (op1 (e12) (e11)) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((op1 (e12) (e10)) = (e10)) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> False).
% 83.65/83.80 do 0 intro. intros zenon_H249 zenon_H2e zenon_H1e zenon_H230 zenon_H17 zenon_H3a3 zenon_H187 zenon_H1a0 zenon_H2cd zenon_H1ff zenon_H3a8 zenon_H14 zenon_H2c zenon_H3a.
% 83.65/83.80 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H2d | zenon_intro zenon_H24a ].
% 83.65/83.80 apply (zenon_L7_); trivial.
% 83.65/83.80 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H34 | zenon_intro zenon_H24b ].
% 83.65/83.80 apply (zenon_L9_); trivial.
% 83.65/83.80 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H244 | zenon_intro zenon_H39 ].
% 83.65/83.80 apply (zenon_L320_); trivial.
% 83.65/83.80 apply (zenon_L10_); trivial.
% 83.65/83.80 (* end of lemma zenon_L321_ *)
% 83.65/83.80 assert (zenon_L322_ : (~((op1 (e12) (op1 (e12) (e11))) = (op1 (e12) (e10)))) -> ((op1 (e12) (e11)) = (e10)) -> False).
% 83.65/83.80 do 0 intro. intros zenon_H3ab zenon_H181.
% 83.65/83.80 cut (((op1 (e12) (e11)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H298].
% 83.65/83.80 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2b].
% 83.65/83.80 congruence.
% 83.65/83.80 apply zenon_H2b. apply refl_equal.
% 83.65/83.80 exact (zenon_H298 zenon_H181).
% 83.65/83.80 (* end of lemma zenon_L322_ *)
% 83.65/83.80 assert (zenon_L323_ : (~((op1 (e12) (op1 (e12) (e11))) = (e11))) -> ((op1 (e12) (e10)) = (e11)) -> ((op1 (e12) (e11)) = (e10)) -> False).
% 83.65/83.80 do 0 intro. intros zenon_H3ac zenon_H16c zenon_H181.
% 83.65/83.80 cut (((op1 (e12) (e10)) = (e11)) = ((op1 (e12) (op1 (e12) (e11))) = (e11))).
% 83.65/83.80 intro zenon_D_pnotp.
% 83.65/83.80 apply zenon_H3ac.
% 83.65/83.80 rewrite <- zenon_D_pnotp.
% 83.65/83.80 exact zenon_H16c.
% 83.65/83.80 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H165].
% 83.65/83.80 cut (((op1 (e12) (e10)) = (op1 (e12) (op1 (e12) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H3ad].
% 83.65/83.80 congruence.
% 83.65/83.80 elim (classic ((op1 (e12) (op1 (e12) (e11))) = (op1 (e12) (op1 (e12) (e11))))); [ zenon_intro zenon_H3ae | zenon_intro zenon_H3af ].
% 83.65/83.80 cut (((op1 (e12) (op1 (e12) (e11))) = (op1 (e12) (op1 (e12) (e11)))) = ((op1 (e12) (e10)) = (op1 (e12) (op1 (e12) (e11))))).
% 83.65/83.80 intro zenon_D_pnotp.
% 83.65/83.80 apply zenon_H3ad.
% 83.65/83.80 rewrite <- zenon_D_pnotp.
% 83.65/83.80 exact zenon_H3ae.
% 83.65/83.80 cut (((op1 (e12) (op1 (e12) (e11))) = (op1 (e12) (op1 (e12) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H3af].
% 83.65/83.80 cut (((op1 (e12) (op1 (e12) (e11))) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H3ab].
% 83.65/83.80 congruence.
% 83.65/83.80 apply (zenon_L322_); trivial.
% 83.65/83.80 apply zenon_H3af. apply refl_equal.
% 83.65/83.80 apply zenon_H3af. apply refl_equal.
% 83.65/83.80 apply zenon_H165. apply refl_equal.
% 83.65/83.80 (* end of lemma zenon_L323_ *)
% 83.65/83.80 assert (zenon_L324_ : (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (op1 (e12) (e11))) = (e11))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (op1 (e12) (e11)) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e10) = (e12))) -> ((op1 (e12) (e11)) = (e10)) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e12) (op1 (e10) (e10))) = (e12))) -> (~((e11) = (e12))) -> False).
% 83.65/83.80 do 0 intro. intros zenon_H1ba zenon_H3ac zenon_H1a0 zenon_H244 zenon_H3a3 zenon_H187 zenon_H14 zenon_H1b6 zenon_H18e zenon_H3f zenon_H181 zenon_H2c zenon_H1e0 zenon_H2e.
% 83.65/83.80 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H16c | zenon_intro zenon_H1bd ].
% 83.65/83.80 apply (zenon_L323_); trivial.
% 83.65/83.80 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H184 | zenon_intro zenon_H1be ].
% 83.65/83.80 apply (zenon_L318_); trivial.
% 83.65/83.80 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H186 | zenon_intro zenon_H1b3 ].
% 83.65/83.80 apply (zenon_L100_); trivial.
% 83.65/83.80 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H18d | zenon_intro zenon_H1b7 ].
% 83.65/83.80 apply (zenon_L101_); trivial.
% 83.65/83.80 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H182 | zenon_intro zenon_H1b8 ].
% 83.65/83.80 apply (zenon_L98_); trivial.
% 83.65/83.80 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1b4 ].
% 83.65/83.80 apply (zenon_L121_); trivial.
% 83.65/83.80 apply (zenon_L110_); trivial.
% 83.65/83.80 (* end of lemma zenon_L324_ *)
% 83.65/83.80 assert (zenon_L325_ : (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> ((op1 (e12) (e12)) = (e10)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (op1 (e12) (e11)) (e12)) = (e11)) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> False).
% 83.65/83.80 do 0 intro. intros zenon_H3a8 zenon_H1d5 zenon_H1d4 zenon_H1a0 zenon_H187 zenon_H244 zenon_H3a3 zenon_H17 zenon_H14 zenon_H230.
% 83.65/83.80 apply (zenon_or_s _ _ zenon_H3a8); [ zenon_intro zenon_H181 | zenon_intro zenon_H3a9 ].
% 83.65/83.80 apply (zenon_L117_); trivial.
% 83.65/83.80 apply (zenon_or_s _ _ zenon_H3a9); [ zenon_intro zenon_H184 | zenon_intro zenon_H3aa ].
% 83.65/83.80 apply (zenon_L318_); trivial.
% 83.65/83.80 apply (zenon_or_s _ _ zenon_H3aa); [ zenon_intro zenon_H182 | zenon_intro zenon_H22f ].
% 83.65/83.80 apply (zenon_L319_); trivial.
% 83.65/83.80 apply (zenon_L148_); trivial.
% 83.65/83.80 (* end of lemma zenon_L325_ *)
% 83.65/83.80 assert (zenon_L326_ : (~((op1 (e12) (op1 (e12) (e11))) = (e11))) -> ((op1 (e12) (e10)) = (op1 (e10) (e12))) -> ((op1 (e12) (e11)) = (e10)) -> ((op1 (e10) (e12)) = (e11)) -> False).
% 83.65/83.80 do 0 intro. intros zenon_H3ac zenon_H245 zenon_H181 zenon_H244.
% 83.65/83.80 cut (((op1 (e12) (e10)) = (op1 (e10) (e12))) = ((op1 (e12) (op1 (e12) (e11))) = (e11))).
% 83.65/83.80 intro zenon_D_pnotp.
% 83.65/83.80 apply zenon_H3ac.
% 83.65/83.80 rewrite <- zenon_D_pnotp.
% 83.65/83.80 exact zenon_H245.
% 83.65/83.80 cut (((op1 (e10) (e12)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H3b0].
% 83.65/83.80 cut (((op1 (e12) (e10)) = (op1 (e12) (op1 (e12) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H3ad].
% 83.65/83.80 congruence.
% 83.65/83.80 elim (classic ((op1 (e12) (op1 (e12) (e11))) = (op1 (e12) (op1 (e12) (e11))))); [ zenon_intro zenon_H3ae | zenon_intro zenon_H3af ].
% 83.65/83.80 cut (((op1 (e12) (op1 (e12) (e11))) = (op1 (e12) (op1 (e12) (e11)))) = ((op1 (e12) (e10)) = (op1 (e12) (op1 (e12) (e11))))).
% 83.65/83.80 intro zenon_D_pnotp.
% 83.65/83.80 apply zenon_H3ad.
% 83.65/83.80 rewrite <- zenon_D_pnotp.
% 83.65/83.80 exact zenon_H3ae.
% 83.65/83.80 cut (((op1 (e12) (op1 (e12) (e11))) = (op1 (e12) (op1 (e12) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H3af].
% 83.65/83.80 cut (((op1 (e12) (op1 (e12) (e11))) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H3ab].
% 83.65/83.80 congruence.
% 83.65/83.80 apply (zenon_L322_); trivial.
% 83.65/83.80 apply zenon_H3af. apply refl_equal.
% 83.65/83.80 apply zenon_H3af. apply refl_equal.
% 83.65/83.80 exact (zenon_H3b0 zenon_H244).
% 83.65/83.80 (* end of lemma zenon_L326_ *)
% 83.65/83.80 assert (zenon_L327_ : (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (op1 (e12) (e11)) (e12)) = (e11)) -> ((op1 (e12) (e11)) = (e11)) -> ((op1 (e11) (e13)) = (e11)) -> False).
% 83.65/83.80 do 0 intro. intros zenon_H3b1 zenon_H3a3 zenon_H184 zenon_H1eb.
% 83.65/83.80 cut (((op1 (op1 (e12) (e11)) (e12)) = (e11)) = ((op1 (e11) (e12)) = (op1 (e11) (e13)))).
% 83.65/83.80 intro zenon_D_pnotp.
% 83.65/83.80 apply zenon_H3b1.
% 83.65/83.80 rewrite <- zenon_D_pnotp.
% 83.65/83.80 exact zenon_H3a3.
% 83.65/83.80 cut (((e11) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H33c].
% 83.65/83.80 cut (((op1 (op1 (e12) (e11)) (e12)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H3a4].
% 83.65/83.80 congruence.
% 83.65/83.80 elim (classic ((op1 (e11) (e12)) = (op1 (e11) (e12)))); [ zenon_intro zenon_H1a1 | zenon_intro zenon_H19e ].
% 83.65/83.80 cut (((op1 (e11) (e12)) = (op1 (e11) (e12))) = ((op1 (op1 (e12) (e11)) (e12)) = (op1 (e11) (e12)))).
% 83.65/83.80 intro zenon_D_pnotp.
% 83.65/83.80 apply zenon_H3a4.
% 83.65/83.80 rewrite <- zenon_D_pnotp.
% 83.65/83.80 exact zenon_H1a1.
% 83.65/83.80 cut (((op1 (e11) (e12)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H19e].
% 83.65/83.80 cut (((op1 (e11) (e12)) = (op1 (op1 (e12) (e11)) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H3a2].
% 83.65/83.80 congruence.
% 83.65/83.80 apply (zenon_L317_); trivial.
% 83.65/83.80 apply zenon_H19e. apply refl_equal.
% 83.65/83.80 apply zenon_H19e. apply refl_equal.
% 83.65/83.80 apply zenon_H33c. apply sym_equal. exact zenon_H1eb.
% 83.65/83.80 (* end of lemma zenon_L327_ *)
% 83.65/83.80 assert (zenon_L328_ : (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> ((op1 (e12) (e12)) = (e10)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (e11) (e13)) = (e11)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (op1 (e12) (e11)) (e12)) = (e11)) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> False).
% 83.65/83.80 do 0 intro. intros zenon_H3a8 zenon_H1d5 zenon_H1d4 zenon_H1eb zenon_H3b1 zenon_H187 zenon_H244 zenon_H3a3 zenon_H17 zenon_H14 zenon_H230.
% 83.65/83.80 apply (zenon_or_s _ _ zenon_H3a8); [ zenon_intro zenon_H181 | zenon_intro zenon_H3a9 ].
% 83.65/83.80 apply (zenon_L117_); trivial.
% 83.65/83.80 apply (zenon_or_s _ _ zenon_H3a9); [ zenon_intro zenon_H184 | zenon_intro zenon_H3aa ].
% 83.65/83.80 apply (zenon_L327_); trivial.
% 83.65/83.80 apply (zenon_or_s _ _ zenon_H3aa); [ zenon_intro zenon_H182 | zenon_intro zenon_H22f ].
% 83.65/83.80 apply (zenon_L319_); trivial.
% 83.65/83.80 apply (zenon_L148_); trivial.
% 83.65/83.80 (* end of lemma zenon_L328_ *)
% 83.65/83.80 assert (zenon_L329_ : (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((e10) = (e11))) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e12) (op1 (e12) (e11))) = (e11))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((op1 (op1 (e12) (e11)) (e12)) = (e11)) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e13)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 83.65/83.80 do 0 intro. intros zenon_H357 zenon_H163 zenon_H16c zenon_H3ac zenon_H230 zenon_H3a3 zenon_H244 zenon_H187 zenon_H3b1 zenon_H1eb zenon_H1d4 zenon_H3a8 zenon_H4d zenon_H50 zenon_H3a zenon_H49 zenon_H2c zenon_H17 zenon_H14 zenon_H25.
% 83.65/83.80 apply (zenon_or_s _ _ zenon_H357); [ zenon_intro zenon_H1ff | zenon_intro zenon_H358 ].
% 83.65/83.80 apply (zenon_L179_); trivial.
% 83.65/83.80 apply (zenon_or_s _ _ zenon_H358); [ zenon_intro zenon_H181 | zenon_intro zenon_H359 ].
% 83.65/83.80 apply (zenon_L323_); trivial.
% 83.65/83.80 apply (zenon_or_s _ _ zenon_H359); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H51 ].
% 83.65/83.80 apply (zenon_L328_); trivial.
% 83.65/83.80 apply (zenon_L17_); trivial.
% 83.65/83.80 (* end of lemma zenon_L329_ *)
% 83.65/83.80 assert (zenon_L330_ : (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e13)) = (e11)) -> ((op1 (e12) (e13)) = (e11)) -> False).
% 83.65/83.80 do 0 intro. intros zenon_H1e4 zenon_H1eb zenon_H1b3.
% 83.65/83.80 cut (((op1 (e11) (e13)) = (e11)) = ((op1 (e11) (e13)) = (op1 (e12) (e13)))).
% 83.65/83.80 intro zenon_D_pnotp.
% 83.65/83.80 apply zenon_H1e4.
% 83.65/83.80 rewrite <- zenon_D_pnotp.
% 83.65/83.80 exact zenon_H1eb.
% 83.65/83.80 cut (((e11) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H3b2].
% 83.65/83.80 cut (((op1 (e11) (e13)) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H1e7].
% 83.65/83.80 congruence.
% 83.65/83.80 apply zenon_H1e7. apply refl_equal.
% 83.65/83.80 apply zenon_H3b2. apply sym_equal. exact zenon_H1b3.
% 83.65/83.80 (* end of lemma zenon_L330_ *)
% 83.65/83.80 assert (zenon_L331_ : (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (op1 (e12) (e11))) = (e11))) -> (~((e10) = (e11))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (op1 (e12) (e11)) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e13)) = (e11)) -> False).
% 83.65/83.80 do 0 intro. intros zenon_H1ba zenon_H25 zenon_H17 zenon_H49 zenon_H3a zenon_H50 zenon_H4d zenon_H3a8 zenon_H1d4 zenon_H3b1 zenon_H230 zenon_H3ac zenon_H163 zenon_H357 zenon_H1a0 zenon_H244 zenon_H3a3 zenon_H187 zenon_H2c zenon_H14 zenon_H1e4 zenon_H1eb.
% 83.65/83.80 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H16c | zenon_intro zenon_H1bd ].
% 83.65/83.80 apply (zenon_L329_); trivial.
% 83.65/83.80 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H184 | zenon_intro zenon_H1be ].
% 83.65/83.80 apply (zenon_L318_); trivial.
% 83.65/83.80 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H186 | zenon_intro zenon_H1b3 ].
% 83.65/83.80 apply (zenon_L100_); trivial.
% 83.65/83.80 apply (zenon_L330_); trivial.
% 83.65/83.80 (* end of lemma zenon_L331_ *)
% 83.65/83.80 assert (zenon_L332_ : (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((op1 (e11) (e10)) = (e10)) -> ((op1 (e11) (e11)) = (e10)) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (op1 (e12) (e11))) = (e11))) -> (~((e10) = (e11))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (op1 (e12) (e11)) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> False).
% 83.65/83.81 do 0 intro. intros zenon_H1f4 zenon_H161 zenon_H177 zenon_H1ba zenon_H25 zenon_H17 zenon_H49 zenon_H3a zenon_H50 zenon_H4d zenon_H3a8 zenon_H1d4 zenon_H3b1 zenon_H230 zenon_H3ac zenon_H163 zenon_H357 zenon_H1a0 zenon_H244 zenon_H3a3 zenon_H187 zenon_H2c zenon_H14 zenon_H1e4.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H162 | zenon_intro zenon_H1fa ].
% 83.65/83.81 apply (zenon_L90_); trivial.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H17e | zenon_intro zenon_H1fb ].
% 83.65/83.81 apply (zenon_L180_); trivial.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H19f | zenon_intro zenon_H1eb ].
% 83.65/83.81 apply (zenon_L105_); trivial.
% 83.65/83.81 apply (zenon_L331_); trivial.
% 83.65/83.81 (* end of lemma zenon_L332_ *)
% 83.65/83.81 assert (zenon_L333_ : (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((e12) = (op1 (e10) (e10))) -> (~((e11) = (e12))) -> ((op1 (e11) (e11)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (op1 (e12) (e11)) (e12)) = (e11)) -> ((op1 (e13) (e11)) = (e10)) -> (~((e10) = (e12))) -> False).
% 83.65/83.81 do 0 intro. intros zenon_H1b9 zenon_H16 zenon_H2c zenon_H2e zenon_H17e zenon_H187 zenon_H244 zenon_H3a3 zenon_H197 zenon_H3f.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H17a | zenon_intro zenon_H1bb ].
% 83.65/83.81 apply (zenon_L95_); trivial.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H17f | zenon_intro zenon_H1bc ].
% 83.65/83.81 apply (zenon_L97_); trivial.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H182 | zenon_intro zenon_H198 ].
% 83.65/83.81 apply (zenon_L319_); trivial.
% 83.65/83.81 apply (zenon_L103_); trivial.
% 83.65/83.81 (* end of lemma zenon_L333_ *)
% 83.65/83.81 assert (zenon_L334_ : (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((op1 (e11) (e10)) = (e10)) -> (~((e10) = (e12))) -> ((op1 (e13) (e11)) = (e10)) -> (~((e11) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (op1 (e12) (e11))) = (e11))) -> (~((e10) = (e11))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (op1 (e12) (e11)) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> False).
% 83.65/83.81 do 0 intro. intros zenon_H1f4 zenon_H161 zenon_H3f zenon_H197 zenon_H2e zenon_H16 zenon_H1b9 zenon_H1ba zenon_H25 zenon_H17 zenon_H49 zenon_H3a zenon_H50 zenon_H4d zenon_H3a8 zenon_H1d4 zenon_H3b1 zenon_H230 zenon_H3ac zenon_H163 zenon_H357 zenon_H1a0 zenon_H244 zenon_H3a3 zenon_H187 zenon_H2c zenon_H14 zenon_H1e4.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H162 | zenon_intro zenon_H1fa ].
% 83.65/83.81 apply (zenon_L90_); trivial.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H17e | zenon_intro zenon_H1fb ].
% 83.65/83.81 apply (zenon_L333_); trivial.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H19f | zenon_intro zenon_H1eb ].
% 83.65/83.81 apply (zenon_L105_); trivial.
% 83.65/83.81 apply (zenon_L331_); trivial.
% 83.65/83.81 (* end of lemma zenon_L334_ *)
% 83.65/83.81 assert (zenon_L335_ : (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e12) (e10)) = (e11)) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((op1 (e11) (e10)) = (e10)) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (op1 (e12) (e11))) = (e11))) -> (~((e10) = (e11))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (op1 (e12) (e11)) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> False).
% 83.65/83.81 do 0 intro. intros zenon_H1c8 zenon_H53 zenon_H45 zenon_H56 zenon_H16c zenon_H1f4 zenon_H161 zenon_H3f zenon_H2e zenon_H16 zenon_H1b9 zenon_H1ba zenon_H25 zenon_H17 zenon_H49 zenon_H3a zenon_H50 zenon_H4d zenon_H3a8 zenon_H1d4 zenon_H3b1 zenon_H230 zenon_H3ac zenon_H163 zenon_H357 zenon_H1a0 zenon_H244 zenon_H3a3 zenon_H187 zenon_H2c zenon_H14 zenon_H1e4.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H43 | zenon_intro zenon_H1ca ].
% 83.65/83.81 apply (zenon_L20_); trivial.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H177 | zenon_intro zenon_H1cb ].
% 83.65/83.81 apply (zenon_L332_); trivial.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H181 | zenon_intro zenon_H197 ].
% 83.65/83.81 apply (zenon_L323_); trivial.
% 83.65/83.81 apply (zenon_L334_); trivial.
% 83.65/83.81 (* end of lemma zenon_L335_ *)
% 83.65/83.81 assert (zenon_L336_ : (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (op1 (e12) (e11))) = (e11))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (op1 (e12) (e11)) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((e12) = (op1 (e10) (e10))) -> (~((e10) = (e12))) -> ((op1 (e12) (e11)) = (e10)) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e12))) -> False).
% 83.65/83.81 do 0 intro. intros zenon_H1ba zenon_H3ac zenon_H1a0 zenon_H244 zenon_H3a3 zenon_H187 zenon_H14 zenon_H1b6 zenon_H18e zenon_H2c zenon_H3f zenon_H181 zenon_H1a6 zenon_H1a5 zenon_H2e.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H16c | zenon_intro zenon_H1bd ].
% 83.65/83.81 apply (zenon_L323_); trivial.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H184 | zenon_intro zenon_H1be ].
% 83.65/83.81 apply (zenon_L318_); trivial.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H186 | zenon_intro zenon_H1b3 ].
% 83.65/83.81 apply (zenon_L100_); trivial.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H18d | zenon_intro zenon_H1b7 ].
% 83.65/83.81 apply (zenon_L101_); trivial.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H182 | zenon_intro zenon_H1b8 ].
% 83.65/83.81 apply (zenon_L98_); trivial.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1b4 ].
% 83.65/83.81 apply (zenon_L106_); trivial.
% 83.65/83.81 apply (zenon_L110_); trivial.
% 83.65/83.81 (* end of lemma zenon_L336_ *)
% 83.65/83.81 assert (zenon_L337_ : (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((e10) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (op1 (e12) (e11))) = (e11))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((op1 (op1 (e12) (e11)) (e12)) = (e11)) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 83.65/83.81 do 0 intro. intros zenon_H357 zenon_H2cd zenon_H2e zenon_H1a5 zenon_H1a6 zenon_H3f zenon_H18e zenon_H1b6 zenon_H3ac zenon_H1ba zenon_H230 zenon_H3a3 zenon_H244 zenon_H187 zenon_H1a0 zenon_H1d4 zenon_H3a8 zenon_H4d zenon_H50 zenon_H3a zenon_H49 zenon_H2c zenon_H17 zenon_H14 zenon_H25.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H357); [ zenon_intro zenon_H1ff | zenon_intro zenon_H358 ].
% 83.65/83.81 apply (zenon_L320_); trivial.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H358); [ zenon_intro zenon_H181 | zenon_intro zenon_H359 ].
% 83.65/83.81 apply (zenon_L336_); trivial.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H359); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H51 ].
% 83.65/83.81 apply (zenon_L325_); trivial.
% 83.65/83.81 apply (zenon_L17_); trivial.
% 83.65/83.81 (* end of lemma zenon_L337_ *)
% 83.65/83.81 assert (zenon_L338_ : (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (op1 (e12) (e11))) = (e11))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (e11) (e10)) = (e10)) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (op1 (e12) (e11)) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e12) (e11)) = (e10)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e10)) = (e13)) -> ((op1 (e13) (e11)) = (e12)) -> (~((e10) = (e12))) -> ((op1 (e13) (e10)) = (e11)) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e11) = (e12))) -> False).
% 83.65/83.81 do 0 intro. intros zenon_H1e4 zenon_H357 zenon_H3ac zenon_H230 zenon_H3b1 zenon_H1d4 zenon_H3a8 zenon_H50 zenon_H1ba zenon_H1b9 zenon_H16 zenon_H161 zenon_H1f4 zenon_H56 zenon_H45 zenon_H1c8 zenon_H244 zenon_H3a3 zenon_H187 zenon_H1b6 zenon_H18e zenon_H181 zenon_H25 zenon_H14 zenon_H17 zenon_H2c zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H1ad zenon_H19a zenon_H1a0 zenon_H1a5 zenon_H1a9 zenon_H1aa zenon_H198 zenon_H3f zenon_H195 zenon_H163 zenon_H1b0 zenon_H2e.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H16c | zenon_intro zenon_H1bd ].
% 83.65/83.81 apply (zenon_L335_); trivial.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H184 | zenon_intro zenon_H1be ].
% 83.65/83.81 apply (zenon_L318_); trivial.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H186 | zenon_intro zenon_H1b3 ].
% 83.65/83.81 apply (zenon_L100_); trivial.
% 83.65/83.81 apply (zenon_L111_); trivial.
% 83.65/83.81 (* end of lemma zenon_L338_ *)
% 83.65/83.81 assert (zenon_L339_ : (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> ((op1 (e10) (e13)) = (e10)) -> (~((e10) = (e13))) -> ((op1 (e11) (e12)) = (e13)) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((op1 (op1 (e12) (e11)) (e12)) = (e11)) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e10)) = (e10)) -> False).
% 83.65/83.81 do 0 intro. intros zenon_H256 zenon_H3a zenon_H42 zenon_H200 zenon_H1ab zenon_H230 zenon_H14 zenon_H17 zenon_H3a3 zenon_H244 zenon_H187 zenon_H1a0 zenon_H1d4 zenon_H3a8 zenon_H252 zenon_H194.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H59 | zenon_intro zenon_H257 ].
% 83.65/83.81 apply (zenon_L21_); trivial.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H19b | zenon_intro zenon_H258 ].
% 83.65/83.81 apply (zenon_L159_); trivial.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H19c ].
% 83.65/83.81 apply (zenon_L325_); trivial.
% 83.65/83.81 apply (zenon_L288_); trivial.
% 83.65/83.81 (* end of lemma zenon_L339_ *)
% 83.65/83.81 assert (zenon_L340_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e13) (e10)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (op1 (e12) (e11)) (e12)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e11) (e12)) = (e13)) -> (~((e10) = (e13))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 83.65/83.81 do 0 intro. intros zenon_H56 zenon_H194 zenon_H252 zenon_H3a8 zenon_H1d4 zenon_H1a0 zenon_H187 zenon_H244 zenon_H3a3 zenon_H230 zenon_H1ab zenon_H200 zenon_H256 zenon_H45 zenon_H50 zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H2c zenon_H17 zenon_H14 zenon_H25.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H42 | zenon_intro zenon_H57 ].
% 83.65/83.81 apply (zenon_L339_); trivial.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H57); [ zenon_intro zenon_H46 | zenon_intro zenon_H58 ].
% 83.65/83.81 apply (zenon_L15_); trivial.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H51 | zenon_intro zenon_H54 ].
% 83.65/83.81 apply (zenon_L17_); trivial.
% 83.65/83.81 apply (zenon_L19_); trivial.
% 83.65/83.81 (* end of lemma zenon_L340_ *)
% 83.65/83.81 assert (zenon_L341_ : ((op1 (e12) (e10)) = (e11)) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> False).
% 83.65/83.81 do 0 intro. intros zenon_H16c zenon_H162 zenon_H3b3.
% 83.65/83.81 elim (classic ((op1 (e12) (e10)) = (op1 (e12) (e10)))); [ zenon_intro zenon_H18f | zenon_intro zenon_H190 ].
% 83.65/83.81 cut (((op1 (e12) (e10)) = (op1 (e12) (e10))) = ((op1 (e11) (e10)) = (op1 (e12) (e10)))).
% 83.65/83.81 intro zenon_D_pnotp.
% 83.65/83.81 apply zenon_H3b3.
% 83.65/83.81 rewrite <- zenon_D_pnotp.
% 83.65/83.81 exact zenon_H18f.
% 83.65/83.81 cut (((op1 (e12) (e10)) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H190].
% 83.65/83.81 cut (((op1 (e12) (e10)) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H3b4].
% 83.65/83.81 congruence.
% 83.65/83.81 cut (((op1 (e12) (e10)) = (e11)) = ((op1 (e12) (e10)) = (op1 (e11) (e10)))).
% 83.65/83.81 intro zenon_D_pnotp.
% 83.65/83.81 apply zenon_H3b4.
% 83.65/83.81 rewrite <- zenon_D_pnotp.
% 83.65/83.81 exact zenon_H16c.
% 83.65/83.81 cut (((e11) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H30d].
% 83.65/83.81 cut (((op1 (e12) (e10)) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H190].
% 83.65/83.81 congruence.
% 83.65/83.81 apply zenon_H190. apply refl_equal.
% 83.65/83.81 apply zenon_H30d. apply sym_equal. exact zenon_H162.
% 83.65/83.81 apply zenon_H190. apply refl_equal.
% 83.65/83.81 apply zenon_H190. apply refl_equal.
% 83.65/83.81 (* end of lemma zenon_L341_ *)
% 83.65/83.81 assert (zenon_L342_ : (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (op1 (e12) (e11)) (e12)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e12) (op1 (e12) (e11))) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e10)) = (e10)) -> False).
% 83.65/83.81 do 0 intro. intros zenon_H1c8 zenon_H53 zenon_H45 zenon_H56 zenon_H25 zenon_H14 zenon_H17 zenon_H2c zenon_H49 zenon_H3a zenon_H50 zenon_H4d zenon_H3a8 zenon_H1d4 zenon_H3b1 zenon_H187 zenon_H244 zenon_H3a3 zenon_H230 zenon_H163 zenon_H357 zenon_H1a0 zenon_H3b3 zenon_H1f4 zenon_H16c zenon_H3ac zenon_H1bf zenon_H194.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H43 | zenon_intro zenon_H1ca ].
% 83.65/83.81 apply (zenon_L20_); trivial.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H177 | zenon_intro zenon_H1cb ].
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H162 | zenon_intro zenon_H1fa ].
% 83.65/83.81 apply (zenon_L341_); trivial.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H17e | zenon_intro zenon_H1fb ].
% 83.65/83.81 apply (zenon_L180_); trivial.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H19f | zenon_intro zenon_H1eb ].
% 83.65/83.81 apply (zenon_L105_); trivial.
% 83.65/83.81 apply (zenon_L329_); trivial.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H181 | zenon_intro zenon_H197 ].
% 83.65/83.81 apply (zenon_L323_); trivial.
% 83.65/83.81 apply (zenon_L247_); trivial.
% 83.65/83.81 (* end of lemma zenon_L342_ *)
% 83.65/83.81 assert (zenon_L343_ : (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((e10) = (e11))) -> ((op1 (e13) (e10)) = (e10)) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (op1 (e12) (e11)) (e12)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e12) (op1 (e12) (e11))) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (op1 (e10) (e13))) = (e11))) -> ((op1 (e10) (e13)) = (e10)) -> (~((e11) = (e12))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> False).
% 83.65/83.81 do 0 intro. intros zenon_H249 zenon_H1e zenon_H163 zenon_H194 zenon_H1c8 zenon_H53 zenon_H45 zenon_H56 zenon_H25 zenon_H17 zenon_H49 zenon_H50 zenon_H4d zenon_H3a8 zenon_H1d4 zenon_H3b1 zenon_H187 zenon_H3a3 zenon_H230 zenon_H357 zenon_H1a0 zenon_H3b3 zenon_H1f4 zenon_H3ac zenon_H1bf zenon_H24d zenon_H42 zenon_H2e zenon_H1f3 zenon_H14 zenon_H2c zenon_H3a.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H2d | zenon_intro zenon_H24a ].
% 83.65/83.81 apply (zenon_L7_); trivial.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H34 | zenon_intro zenon_H24b ].
% 83.65/83.81 apply (zenon_L9_); trivial.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H244 | zenon_intro zenon_H39 ].
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H2d | zenon_intro zenon_H1f6 ].
% 83.65/83.81 apply (zenon_L7_); trivial.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H162 | zenon_intro zenon_H1f7 ].
% 83.65/83.81 apply (zenon_L157_); trivial.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H16c | zenon_intro zenon_H195 ].
% 83.65/83.81 apply (zenon_L342_); trivial.
% 83.65/83.81 apply (zenon_L102_); trivial.
% 83.65/83.81 apply (zenon_L10_); trivial.
% 83.65/83.81 (* end of lemma zenon_L343_ *)
% 83.65/83.81 assert (zenon_L344_ : (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (op1 (e12) (e11)) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((e10) = (e11))) -> (~((op1 (e12) (op1 (e12) (e11))) = (e11))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> ((op1 (e11) (e10)) = (e10)) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((op1 (e10) (e11)) = (op1 (e11) (e10))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> False).
% 83.65/83.81 do 0 intro. intros zenon_H249 zenon_H1e zenon_H1e4 zenon_H187 zenon_H3a3 zenon_H1a0 zenon_H357 zenon_H163 zenon_H3ac zenon_H230 zenon_H3b1 zenon_H1d4 zenon_H3a8 zenon_H4d zenon_H50 zenon_H49 zenon_H17 zenon_H25 zenon_H1ba zenon_H1b9 zenon_H16 zenon_H2e zenon_H3f zenon_H161 zenon_H1f4 zenon_H260 zenon_H56 zenon_H45 zenon_H53 zenon_H1c8 zenon_H14 zenon_H2c zenon_H3a.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H2d | zenon_intro zenon_H24a ].
% 83.65/83.81 apply (zenon_L7_); trivial.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H34 | zenon_intro zenon_H24b ].
% 83.65/83.81 apply (zenon_L9_); trivial.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H244 | zenon_intro zenon_H39 ].
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H43 | zenon_intro zenon_H1ca ].
% 83.65/83.81 apply (zenon_L20_); trivial.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H177 | zenon_intro zenon_H1cb ].
% 83.65/83.81 apply (zenon_L332_); trivial.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H181 | zenon_intro zenon_H197 ].
% 83.65/83.81 apply (zenon_L166_); trivial.
% 83.65/83.81 apply (zenon_L334_); trivial.
% 83.65/83.81 apply (zenon_L10_); trivial.
% 83.65/83.81 (* end of lemma zenon_L344_ *)
% 83.65/83.81 assert (zenon_L345_ : (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((e11) = (e13))) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((op1 (op1 (e12) (e11)) (e12)) = (e11)) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e10)) = (e10)) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e11) (e13)) = (e12)) -> (~((e12) = (e13))) -> False).
% 83.65/83.81 do 0 intro. intros zenon_H25d zenon_H1ee zenon_H162 zenon_H229 zenon_H25 zenon_H14 zenon_H17 zenon_H2c zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H50 zenon_H45 zenon_H256 zenon_H200 zenon_H230 zenon_H3a3 zenon_H244 zenon_H187 zenon_H1a0 zenon_H1d4 zenon_H3a8 zenon_H252 zenon_H194 zenon_H56 zenon_H1e5 zenon_H25a.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H1aa | zenon_intro zenon_H25e ].
% 83.65/83.81 apply (zenon_L177_); trivial.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H228 | zenon_intro zenon_H25f ].
% 83.65/83.81 apply (zenon_L147_); trivial.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H25f); [ zenon_intro zenon_H1ab | zenon_intro zenon_H259 ].
% 83.65/83.81 apply (zenon_L340_); trivial.
% 83.65/83.81 apply (zenon_L162_); trivial.
% 83.65/83.81 (* end of lemma zenon_L345_ *)
% 83.65/83.81 assert (zenon_L346_ : (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e11) (e10)) = (e11)) -> ((op1 (e10) (e11)) = (op1 (e11) (e10))) -> ((op1 (e13) (e11)) = (e11)) -> False).
% 83.65/83.81 do 0 intro. intros zenon_H236 zenon_H162 zenon_H260 zenon_H1c0.
% 83.65/83.81 cut (((op1 (e11) (e10)) = (e11)) = ((op1 (e10) (e11)) = (op1 (e13) (e11)))).
% 83.65/83.81 intro zenon_D_pnotp.
% 83.65/83.81 apply zenon_H236.
% 83.65/83.81 rewrite <- zenon_D_pnotp.
% 83.65/83.81 exact zenon_H162.
% 83.65/83.81 cut (((e11) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H1c1].
% 83.65/83.81 cut (((op1 (e11) (e10)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H262].
% 83.65/83.81 congruence.
% 83.65/83.81 elim (classic ((op1 (e10) (e11)) = (op1 (e10) (e11)))); [ zenon_intro zenon_H36 | zenon_intro zenon_H37 ].
% 83.65/83.81 cut (((op1 (e10) (e11)) = (op1 (e10) (e11))) = ((op1 (e11) (e10)) = (op1 (e10) (e11)))).
% 83.65/83.81 intro zenon_D_pnotp.
% 83.65/83.81 apply zenon_H262.
% 83.65/83.81 rewrite <- zenon_D_pnotp.
% 83.65/83.81 exact zenon_H36.
% 83.65/83.81 cut (((op1 (e10) (e11)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H37].
% 83.65/83.81 cut (((op1 (e10) (e11)) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H263].
% 83.65/83.81 congruence.
% 83.65/83.81 exact (zenon_H263 zenon_H260).
% 83.65/83.81 apply zenon_H37. apply refl_equal.
% 83.65/83.81 apply zenon_H37. apply refl_equal.
% 83.65/83.81 apply zenon_H1c1. apply sym_equal. exact zenon_H1c0.
% 83.65/83.81 (* end of lemma zenon_L346_ *)
% 83.65/83.81 assert (zenon_L347_ : (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (op1 (e12) (e11)) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((e10) = (e11))) -> (~((op1 (e12) (op1 (e12) (e11))) = (e11))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (op1 (e11) (e11))) = (e11))) -> ((op1 (e11) (e10)) = (e10)) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> False).
% 83.65/83.81 do 0 intro. intros zenon_H249 zenon_H2e zenon_H1e zenon_H1e4 zenon_H187 zenon_H3a3 zenon_H1a0 zenon_H357 zenon_H163 zenon_H3ac zenon_H230 zenon_H3b1 zenon_H1d4 zenon_H3a8 zenon_H4d zenon_H50 zenon_H49 zenon_H17 zenon_H25 zenon_H1ba zenon_H266 zenon_H161 zenon_H1f4 zenon_H14 zenon_H2c zenon_H3a.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H2d | zenon_intro zenon_H24a ].
% 83.65/83.81 apply (zenon_L7_); trivial.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H34 | zenon_intro zenon_H24b ].
% 83.65/83.81 apply (zenon_L9_); trivial.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H244 | zenon_intro zenon_H39 ].
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H162 | zenon_intro zenon_H1fa ].
% 83.65/83.81 apply (zenon_L90_); trivial.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H17e | zenon_intro zenon_H1fb ].
% 83.65/83.81 apply (zenon_L170_); trivial.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H19f | zenon_intro zenon_H1eb ].
% 83.65/83.81 apply (zenon_L105_); trivial.
% 83.65/83.81 apply (zenon_L331_); trivial.
% 83.65/83.81 apply (zenon_L10_); trivial.
% 83.65/83.81 (* end of lemma zenon_L347_ *)
% 83.65/83.81 assert (zenon_L348_ : (~((op1 (e12) (op1 (e11) (e11))) = (op1 (e12) (e12)))) -> ((op1 (e11) (e11)) = (e12)) -> False).
% 83.65/83.81 do 0 intro. intros zenon_H3b5 zenon_H17f.
% 83.65/83.81 cut (((op1 (e11) (e11)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H180].
% 83.65/83.81 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2b].
% 83.65/83.81 congruence.
% 83.65/83.81 apply zenon_H2b. apply refl_equal.
% 83.65/83.81 exact (zenon_H180 zenon_H17f).
% 83.65/83.81 (* end of lemma zenon_L348_ *)
% 83.65/83.81 assert (zenon_L349_ : (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (op1 (e12) (e11))) = (e11))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (op1 (e12) (e11)) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((e12) = (op1 (e10) (e10))) -> (~((e10) = (e12))) -> ((op1 (e12) (e11)) = (e10)) -> ((op1 (e11) (e11)) = (e12)) -> (~((op1 (e12) (op1 (e11) (e11))) = (e12))) -> (~((e11) = (e12))) -> False).
% 83.65/83.81 do 0 intro. intros zenon_H1ba zenon_H3ac zenon_H1a0 zenon_H244 zenon_H3a3 zenon_H187 zenon_H14 zenon_H1b6 zenon_H18e zenon_H2c zenon_H3f zenon_H181 zenon_H17f zenon_H3b6 zenon_H2e.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H16c | zenon_intro zenon_H1bd ].
% 83.65/83.81 apply (zenon_L323_); trivial.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H184 | zenon_intro zenon_H1be ].
% 83.65/83.81 apply (zenon_L318_); trivial.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H186 | zenon_intro zenon_H1b3 ].
% 83.65/83.81 apply (zenon_L100_); trivial.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H18d | zenon_intro zenon_H1b7 ].
% 83.65/83.81 apply (zenon_L101_); trivial.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H182 | zenon_intro zenon_H1b8 ].
% 83.65/83.81 apply (zenon_L98_); trivial.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1b4 ].
% 83.65/83.81 cut (((op1 (e12) (e12)) = (e12)) = ((op1 (e12) (op1 (e11) (e11))) = (e12))).
% 83.65/83.81 intro zenon_D_pnotp.
% 83.65/83.81 apply zenon_H3b6.
% 83.65/83.81 rewrite <- zenon_D_pnotp.
% 83.65/83.81 exact zenon_H1a7.
% 83.65/83.81 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2b].
% 83.65/83.81 cut (((op1 (e12) (e12)) = (op1 (e12) (op1 (e11) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H3b7].
% 83.65/83.81 congruence.
% 83.65/83.81 elim (classic ((op1 (e12) (op1 (e11) (e11))) = (op1 (e12) (op1 (e11) (e11))))); [ zenon_intro zenon_H3b8 | zenon_intro zenon_H3b9 ].
% 83.65/83.81 cut (((op1 (e12) (op1 (e11) (e11))) = (op1 (e12) (op1 (e11) (e11)))) = ((op1 (e12) (e12)) = (op1 (e12) (op1 (e11) (e11))))).
% 83.65/83.81 intro zenon_D_pnotp.
% 83.65/83.81 apply zenon_H3b7.
% 83.65/83.81 rewrite <- zenon_D_pnotp.
% 83.65/83.81 exact zenon_H3b8.
% 83.65/83.81 cut (((op1 (e12) (op1 (e11) (e11))) = (op1 (e12) (op1 (e11) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H3b9].
% 83.65/83.81 cut (((op1 (e12) (op1 (e11) (e11))) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H3b5].
% 83.65/83.81 congruence.
% 83.65/83.81 apply (zenon_L348_); trivial.
% 83.65/83.81 apply zenon_H3b9. apply refl_equal.
% 83.65/83.81 apply zenon_H3b9. apply refl_equal.
% 83.65/83.81 apply zenon_H2b. apply refl_equal.
% 83.65/83.81 apply (zenon_L110_); trivial.
% 83.65/83.81 (* end of lemma zenon_L349_ *)
% 83.65/83.81 assert (zenon_L350_ : (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((e11) = (e12))) -> (~((op1 (e12) (op1 (e11) (e11))) = (e12))) -> ((op1 (e11) (e11)) = (e12)) -> (~((e10) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (op1 (e12) (e11))) = (e11))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((op1 (op1 (e12) (e11)) (e12)) = (e11)) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 83.65/83.81 do 0 intro. intros zenon_H357 zenon_H2cd zenon_H2e zenon_H3b6 zenon_H17f zenon_H3f zenon_H18e zenon_H1b6 zenon_H3ac zenon_H1ba zenon_H230 zenon_H3a3 zenon_H244 zenon_H187 zenon_H1a0 zenon_H1d4 zenon_H3a8 zenon_H4d zenon_H50 zenon_H3a zenon_H49 zenon_H2c zenon_H17 zenon_H14 zenon_H25.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H357); [ zenon_intro zenon_H1ff | zenon_intro zenon_H358 ].
% 83.65/83.81 apply (zenon_L320_); trivial.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H358); [ zenon_intro zenon_H181 | zenon_intro zenon_H359 ].
% 83.65/83.81 apply (zenon_L349_); trivial.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H359); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H51 ].
% 83.65/83.81 apply (zenon_L325_); trivial.
% 83.65/83.81 apply (zenon_L17_); trivial.
% 83.65/83.81 (* end of lemma zenon_L350_ *)
% 83.65/83.81 assert (zenon_L351_ : ((op1 (e11) (e11)) = (e11)) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((e11) = (e12))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e11))) -> ((op1 (e13) (e10)) = (e11)) -> (~((e10) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((op1 (e12) (e11)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (op1 (e12) (e11)) (e12)) = (e11)) -> ((op1 (e10) (e12)) = (e11)) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((op1 (e11) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (op1 (e12) (e11))) = (e11))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (op1 (e11) (e12))) = (e10))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e11) (e13)) = (e12)) -> (~((e12) = (e13))) -> False).
% 83.65/83.81 do 0 intro. intros zenon_H17e zenon_H25d zenon_H2e zenon_H1b0 zenon_H163 zenon_H195 zenon_H3f zenon_H1a9 zenon_H1a5 zenon_H1a0 zenon_H19a zenon_H1ad zenon_H181 zenon_H18e zenon_H1b6 zenon_H187 zenon_H3a3 zenon_H244 zenon_H1c8 zenon_H1f4 zenon_H161 zenon_H16 zenon_H1b9 zenon_H1ba zenon_H3a8 zenon_H1d4 zenon_H3b1 zenon_H230 zenon_H3ac zenon_H357 zenon_H1e4 zenon_H229 zenon_H25 zenon_H14 zenon_H17 zenon_H2c zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H50 zenon_H45 zenon_H26b zenon_H56 zenon_H1e5 zenon_H25a.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H17a | zenon_intro zenon_H1bb ].
% 83.65/83.81 apply (zenon_L95_); trivial.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H17f | zenon_intro zenon_H1bc ].
% 83.65/83.81 apply (zenon_L97_); trivial.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H182 | zenon_intro zenon_H198 ].
% 83.65/83.81 apply (zenon_L98_); trivial.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H1aa | zenon_intro zenon_H25e ].
% 83.65/83.81 apply (zenon_L338_); trivial.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H228 | zenon_intro zenon_H25f ].
% 83.65/83.81 apply (zenon_L147_); trivial.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H25f); [ zenon_intro zenon_H1ab | zenon_intro zenon_H259 ].
% 83.65/83.81 apply (zenon_L300_); trivial.
% 83.65/83.81 apply (zenon_L162_); trivial.
% 83.65/83.81 (* end of lemma zenon_L351_ *)
% 83.65/83.81 assert (zenon_L352_ : (~((op1 (e11) (op1 (e11) (e12))) = (op1 (e11) (e10)))) -> ((op1 (e11) (e12)) = (e10)) -> False).
% 83.65/83.81 do 0 intro. intros zenon_H3ba zenon_H19b.
% 83.65/83.81 cut (((op1 (e11) (e12)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H3bb].
% 83.65/83.81 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H165].
% 83.65/83.81 congruence.
% 83.65/83.81 apply zenon_H165. apply refl_equal.
% 83.65/83.81 exact (zenon_H3bb zenon_H19b).
% 83.65/83.81 (* end of lemma zenon_L352_ *)
% 83.65/83.81 assert (zenon_L353_ : (~((op1 (e11) (op1 (e11) (e12))) = (e11))) -> ((op1 (e11) (e10)) = (e11)) -> ((op1 (e11) (e12)) = (e10)) -> False).
% 83.65/83.81 do 0 intro. intros zenon_H271 zenon_H162 zenon_H19b.
% 83.65/83.81 cut (((op1 (e11) (e10)) = (e11)) = ((op1 (e11) (op1 (e11) (e12))) = (e11))).
% 83.65/83.81 intro zenon_D_pnotp.
% 83.65/83.81 apply zenon_H271.
% 83.65/83.81 rewrite <- zenon_D_pnotp.
% 83.65/83.81 exact zenon_H162.
% 83.65/83.81 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H165].
% 83.65/83.81 cut (((op1 (e11) (e10)) = (op1 (e11) (op1 (e11) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H3bc].
% 83.65/83.81 congruence.
% 83.65/83.81 elim (classic ((op1 (e11) (op1 (e11) (e12))) = (op1 (e11) (op1 (e11) (e12))))); [ zenon_intro zenon_H323 | zenon_intro zenon_H324 ].
% 83.65/83.81 cut (((op1 (e11) (op1 (e11) (e12))) = (op1 (e11) (op1 (e11) (e12)))) = ((op1 (e11) (e10)) = (op1 (e11) (op1 (e11) (e12))))).
% 83.65/83.81 intro zenon_D_pnotp.
% 83.65/83.81 apply zenon_H3bc.
% 83.65/83.81 rewrite <- zenon_D_pnotp.
% 83.65/83.81 exact zenon_H323.
% 83.65/83.81 cut (((op1 (e11) (op1 (e11) (e12))) = (op1 (e11) (op1 (e11) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H324].
% 83.65/83.81 cut (((op1 (e11) (op1 (e11) (e12))) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H3ba].
% 83.65/83.81 congruence.
% 83.65/83.81 apply (zenon_L352_); trivial.
% 83.65/83.81 apply zenon_H324. apply refl_equal.
% 83.65/83.81 apply zenon_H324. apply refl_equal.
% 83.65/83.81 apply zenon_H165. apply refl_equal.
% 83.65/83.81 (* end of lemma zenon_L353_ *)
% 83.65/83.81 assert (zenon_L354_ : (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> ((op1 (e10) (e13)) = (e10)) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e11) (op1 (e11) (e12))) = (e11))) -> ((op1 (e12) (e11)) = (e10)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e10)) = (e10)) -> False).
% 83.65/83.81 do 0 intro. intros zenon_H256 zenon_H3a zenon_H42 zenon_H162 zenon_H271 zenon_H181 zenon_H1d4 zenon_H252 zenon_H194.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H59 | zenon_intro zenon_H257 ].
% 83.65/83.81 apply (zenon_L21_); trivial.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H19b | zenon_intro zenon_H258 ].
% 83.65/83.81 apply (zenon_L353_); trivial.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H19c ].
% 83.65/83.81 apply (zenon_L117_); trivial.
% 83.65/83.81 apply (zenon_L288_); trivial.
% 83.65/83.81 (* end of lemma zenon_L354_ *)
% 83.65/83.81 assert (zenon_L355_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e13) (e10)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e11)) = (e10)) -> (~((op1 (e11) (op1 (e11) (e12))) = (e11))) -> ((op1 (e11) (e10)) = (e11)) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 83.65/83.81 do 0 intro. intros zenon_H56 zenon_H194 zenon_H252 zenon_H1d4 zenon_H181 zenon_H271 zenon_H162 zenon_H256 zenon_H45 zenon_H50 zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H2c zenon_H17 zenon_H14 zenon_H25.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H42 | zenon_intro zenon_H57 ].
% 83.65/83.81 apply (zenon_L354_); trivial.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H57); [ zenon_intro zenon_H46 | zenon_intro zenon_H58 ].
% 83.65/83.81 apply (zenon_L15_); trivial.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H51 | zenon_intro zenon_H54 ].
% 83.65/83.81 apply (zenon_L17_); trivial.
% 83.65/83.81 apply (zenon_L19_); trivial.
% 83.65/83.81 (* end of lemma zenon_L355_ *)
% 83.65/83.81 assert (zenon_L356_ : (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e11) (e11)) = (e11)) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (op1 (e12) (e11)) (e12)) = (e11)) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (op1 (e12) (e11))) = (e11))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((e12) = (op1 (e10) (e10))) -> (~((e10) = (e12))) -> ((op1 (e12) (e11)) = (e10)) -> (~((op1 (e12) (op1 (e11) (e13))) = (e12))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> False).
% 83.65/83.81 do 0 intro. intros zenon_H1e8 zenon_H1cf zenon_H17e zenon_H2e zenon_H1a5 zenon_H14 zenon_H187 zenon_H3a3 zenon_H244 zenon_H1a0 zenon_H3ac zenon_H1ba zenon_H1b6 zenon_H18e zenon_H2c zenon_H3f zenon_H181 zenon_H27d zenon_H1e4.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1ce | zenon_intro zenon_H1e9 ].
% 83.65/83.81 apply (zenon_L116_); trivial.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H17f | zenon_intro zenon_H1ea ].
% 83.65/83.81 apply (zenon_L97_); trivial.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1e5 ].
% 83.65/83.81 apply (zenon_L336_); trivial.
% 83.65/83.81 apply (zenon_L186_); trivial.
% 83.65/83.81 (* end of lemma zenon_L356_ *)
% 83.65/83.81 assert (zenon_L357_ : (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((op1 (e11) (e10)) = (e10)) -> (~((op1 (e12) (op1 (e11) (e13))) = (e12))) -> ((op1 (e12) (e11)) = (e10)) -> (~((e10) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (op1 (e12) (e11))) = (e11))) -> (~((e10) = (e11))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (op1 (e12) (e11)) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> False).
% 83.65/83.81 do 0 intro. intros zenon_H1f4 zenon_H161 zenon_H27d zenon_H181 zenon_H3f zenon_H18e zenon_H1b6 zenon_H1a5 zenon_H2e zenon_H1cf zenon_H1e8 zenon_H1ba zenon_H25 zenon_H17 zenon_H49 zenon_H3a zenon_H50 zenon_H4d zenon_H3a8 zenon_H1d4 zenon_H3b1 zenon_H230 zenon_H3ac zenon_H163 zenon_H357 zenon_H1a0 zenon_H244 zenon_H3a3 zenon_H187 zenon_H2c zenon_H14 zenon_H1e4.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H162 | zenon_intro zenon_H1fa ].
% 83.65/83.81 apply (zenon_L90_); trivial.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H17e | zenon_intro zenon_H1fb ].
% 83.65/83.81 apply (zenon_L356_); trivial.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H19f | zenon_intro zenon_H1eb ].
% 83.65/83.81 apply (zenon_L105_); trivial.
% 83.65/83.81 apply (zenon_L331_); trivial.
% 83.65/83.81 (* end of lemma zenon_L357_ *)
% 83.65/83.81 assert (zenon_L358_ : ((op1 (e13) (e11)) = (op1 (e11) (e13))) -> ((op1 (e13) (e11)) = (e11)) -> ((op1 (e11) (e13)) = (e13)) -> (~((op1 (e11) (op1 (e11) (e13))) = (e11))) -> False).
% 83.65/83.81 do 0 intro. intros zenon_H284 zenon_H1c0 zenon_H259 zenon_H288.
% 83.65/83.81 elim (classic ((e11) = (e11))); [ zenon_intro zenon_H164 | zenon_intro zenon_H165 ].
% 83.65/83.81 cut (((e11) = (e11)) = ((op1 (e11) (op1 (e11) (e13))) = (e11))).
% 83.65/83.81 intro zenon_D_pnotp.
% 83.65/83.81 apply zenon_H288.
% 83.65/83.81 rewrite <- zenon_D_pnotp.
% 83.65/83.81 exact zenon_H164.
% 83.65/83.81 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H165].
% 83.65/83.81 cut (((e11) = (op1 (e11) (op1 (e11) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3bd].
% 83.65/83.81 congruence.
% 83.65/83.81 cut (((op1 (e13) (e11)) = (op1 (e11) (e13))) = ((e11) = (op1 (e11) (op1 (e11) (e13))))).
% 83.65/83.81 intro zenon_D_pnotp.
% 83.65/83.81 apply zenon_H3bd.
% 83.65/83.81 rewrite <- zenon_D_pnotp.
% 83.65/83.81 exact zenon_H284.
% 83.65/83.81 cut (((op1 (e11) (e13)) = (op1 (e11) (op1 (e11) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3be].
% 83.65/83.81 cut (((op1 (e13) (e11)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H3bf].
% 83.65/83.81 congruence.
% 83.65/83.81 exact (zenon_H3bf zenon_H1c0).
% 83.65/83.81 cut (((e13) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H33e].
% 83.65/83.81 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H165].
% 83.65/83.81 congruence.
% 83.65/83.81 apply zenon_H165. apply refl_equal.
% 83.65/83.81 apply zenon_H33e. apply sym_equal. exact zenon_H259.
% 83.65/83.81 apply zenon_H165. apply refl_equal.
% 83.65/83.81 apply zenon_H165. apply refl_equal.
% 83.65/83.81 (* end of lemma zenon_L358_ *)
% 83.65/83.81 assert (zenon_L359_ : (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((e11) = (e13))) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((op1 (op1 (e12) (e11)) (e12)) = (e11)) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e10)) = (e10)) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e13) (e11)) = (op1 (e11) (e13))) -> ((op1 (e13) (e11)) = (e11)) -> (~((op1 (e11) (op1 (e11) (e13))) = (e11))) -> False).
% 83.65/83.81 do 0 intro. intros zenon_H25d zenon_H1ee zenon_H162 zenon_H229 zenon_H25 zenon_H14 zenon_H17 zenon_H2c zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H50 zenon_H45 zenon_H256 zenon_H200 zenon_H230 zenon_H3a3 zenon_H244 zenon_H187 zenon_H1a0 zenon_H1d4 zenon_H3a8 zenon_H252 zenon_H194 zenon_H56 zenon_H284 zenon_H1c0 zenon_H288.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H1aa | zenon_intro zenon_H25e ].
% 83.65/83.81 apply (zenon_L177_); trivial.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H228 | zenon_intro zenon_H25f ].
% 83.65/83.81 apply (zenon_L147_); trivial.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H25f); [ zenon_intro zenon_H1ab | zenon_intro zenon_H259 ].
% 83.65/83.81 apply (zenon_L340_); trivial.
% 83.65/83.81 apply (zenon_L358_); trivial.
% 83.65/83.81 (* end of lemma zenon_L359_ *)
% 83.65/83.81 assert (zenon_L360_ : (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((e10) = (e11))) -> ((op1 (e11) (e11)) = (e10)) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((e11) = (e13))) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((op1 (op1 (e12) (e11)) (e12)) = (e11)) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e10)) = (e10)) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e13) (e11)) = (op1 (e11) (e13))) -> (~((op1 (e11) (op1 (e11) (e13))) = (e11))) -> False).
% 83.65/83.81 do 0 intro. intros zenon_H1c9 zenon_H1e zenon_H163 zenon_H177 zenon_H25d zenon_H1ee zenon_H162 zenon_H229 zenon_H25 zenon_H14 zenon_H17 zenon_H2c zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H50 zenon_H45 zenon_H256 zenon_H200 zenon_H230 zenon_H3a3 zenon_H244 zenon_H187 zenon_H1a0 zenon_H1d4 zenon_H3a8 zenon_H252 zenon_H194 zenon_H56 zenon_H284 zenon_H288.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H34 | zenon_intro zenon_H1cc ].
% 83.65/83.81 apply (zenon_L9_); trivial.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H17e | zenon_intro zenon_H1cd ].
% 83.65/83.81 apply (zenon_L180_); trivial.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H184 | zenon_intro zenon_H1c0 ].
% 83.65/83.81 apply (zenon_L318_); trivial.
% 83.65/83.81 apply (zenon_L359_); trivial.
% 83.65/83.81 (* end of lemma zenon_L360_ *)
% 83.65/83.81 assert (zenon_L361_ : (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((e11) = (e13))) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((e10) = (e13))) -> ((op1 (e11) (e12)) = (e10)) -> ((op1 (e13) (e11)) = (op1 (e11) (e13))) -> ((op1 (e13) (e11)) = (e11)) -> (~((op1 (e11) (op1 (e11) (e13))) = (e11))) -> False).
% 83.65/83.81 do 0 intro. intros zenon_H25d zenon_H1ee zenon_H162 zenon_H229 zenon_H14 zenon_H17 zenon_H200 zenon_H19b zenon_H284 zenon_H1c0 zenon_H288.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H1aa | zenon_intro zenon_H25e ].
% 83.65/83.81 apply (zenon_L177_); trivial.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H228 | zenon_intro zenon_H25f ].
% 83.65/83.81 apply (zenon_L147_); trivial.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H25f); [ zenon_intro zenon_H1ab | zenon_intro zenon_H259 ].
% 83.65/83.81 apply (zenon_L159_); trivial.
% 83.65/83.81 apply (zenon_L358_); trivial.
% 83.65/83.81 (* end of lemma zenon_L361_ *)
% 83.65/83.81 assert (zenon_L362_ : (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((e10) = (e11))) -> ((op1 (e11) (e11)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (op1 (e12) (e11)) (e12)) = (e11)) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((e11) = (e13))) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((e10) = (e13))) -> ((op1 (e11) (e12)) = (e10)) -> ((op1 (e13) (e11)) = (op1 (e11) (e13))) -> (~((op1 (e11) (op1 (e11) (e13))) = (e11))) -> False).
% 83.65/83.81 do 0 intro. intros zenon_H1c9 zenon_H2c zenon_H1e zenon_H163 zenon_H177 zenon_H1a0 zenon_H244 zenon_H3a3 zenon_H25d zenon_H1ee zenon_H162 zenon_H229 zenon_H14 zenon_H17 zenon_H200 zenon_H19b zenon_H284 zenon_H288.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H34 | zenon_intro zenon_H1cc ].
% 83.65/83.81 apply (zenon_L9_); trivial.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H17e | zenon_intro zenon_H1cd ].
% 83.65/83.81 apply (zenon_L180_); trivial.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H184 | zenon_intro zenon_H1c0 ].
% 83.65/83.81 apply (zenon_L318_); trivial.
% 83.65/83.81 apply (zenon_L361_); trivial.
% 83.65/83.81 (* end of lemma zenon_L362_ *)
% 83.65/83.81 assert (zenon_L363_ : (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> ((op1 (e12) (e11)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (op1 (e12) (e11)) (e12)) = (e11)) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((e10) = (e11))) -> (~((op1 (e12) (op1 (e12) (e11))) = (e11))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> ((op1 (e11) (e10)) = (e10)) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (op1 (e12) (e10))) = (e10))) -> ((op1 (e10) (e13)) = (e10)) -> False).
% 83.65/83.81 do 0 intro. intros zenon_H35d zenon_H181 zenon_H2cd zenon_H1e4 zenon_H14 zenon_H187 zenon_H3a3 zenon_H244 zenon_H1a0 zenon_H357 zenon_H163 zenon_H3ac zenon_H230 zenon_H3b1 zenon_H1d4 zenon_H3a8 zenon_H4d zenon_H50 zenon_H3a zenon_H49 zenon_H17 zenon_H25 zenon_H1ba zenon_H1b9 zenon_H16 zenon_H2e zenon_H3f zenon_H161 zenon_H1f4 zenon_H56 zenon_H45 zenon_H53 zenon_H1c8 zenon_H18e zenon_H2c zenon_H28f zenon_H42.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H35d); [ zenon_intro zenon_H1ff | zenon_intro zenon_H35e ].
% 83.65/83.81 apply (zenon_L218_); trivial.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H35e); [ zenon_intro zenon_H16c | zenon_intro zenon_H35f ].
% 83.65/83.81 apply (zenon_L335_); trivial.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H18d | zenon_intro zenon_H1d9 ].
% 83.65/83.81 apply (zenon_L101_); trivial.
% 83.65/83.81 apply (zenon_L191_); trivial.
% 83.65/83.81 (* end of lemma zenon_L363_ *)
% 83.65/83.81 assert (zenon_L364_ : (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((op1 (op1 (e12) (e11)) (e12)) = (e11)) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> ((op1 (e12) (e11)) = (e10)) -> (~((op1 (e12) (op1 (e12) (e11))) = (e11))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e12)) = (e13)) -> False).
% 83.65/83.81 do 0 intro. intros zenon_H35d zenon_H230 zenon_H14 zenon_H17 zenon_H3a3 zenon_H244 zenon_H187 zenon_H1a0 zenon_H2cd zenon_H3a8 zenon_H181 zenon_H3ac zenon_H18e zenon_H2c zenon_H1d8 zenon_H1da.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H35d); [ zenon_intro zenon_H1ff | zenon_intro zenon_H35e ].
% 83.65/83.81 apply (zenon_L320_); trivial.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H35e); [ zenon_intro zenon_H16c | zenon_intro zenon_H35f ].
% 83.65/83.81 apply (zenon_L323_); trivial.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H18d | zenon_intro zenon_H1d9 ].
% 83.65/83.81 apply (zenon_L101_); trivial.
% 83.65/83.81 apply (zenon_L118_); trivial.
% 83.65/83.81 (* end of lemma zenon_L364_ *)
% 83.65/83.81 assert (zenon_L365_ : (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e10) (op1 (e12) (e10))) = (e10))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (op1 (e12) (e11))) = (e11))) -> ((op1 (e12) (e11)) = (e10)) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (op1 (e12) (e11)) (e12)) = (e11)) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e13)) = (e13)) -> False).
% 83.65/83.81 do 0 intro. intros zenon_H365 zenon_H42 zenon_H28f zenon_H1d8 zenon_H2c zenon_H18e zenon_H3ac zenon_H181 zenon_H3a8 zenon_H2cd zenon_H1a0 zenon_H187 zenon_H244 zenon_H3a3 zenon_H17 zenon_H14 zenon_H230 zenon_H35d zenon_H1e4 zenon_H259.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H365); [ zenon_intro zenon_H1d9 | zenon_intro zenon_H366 ].
% 83.65/83.81 apply (zenon_L191_); trivial.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H366); [ zenon_intro zenon_H22f | zenon_intro zenon_H367 ].
% 83.65/83.81 apply (zenon_L148_); trivial.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H367); [ zenon_intro zenon_H1da | zenon_intro zenon_H363 ].
% 83.65/83.81 apply (zenon_L364_); trivial.
% 83.65/83.81 apply (zenon_L294_); trivial.
% 83.65/83.81 (* end of lemma zenon_L365_ *)
% 83.65/83.81 assert (zenon_L366_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e11) (e13)) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((op1 (op1 (e12) (e11)) (e12)) = (e11)) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> ((op1 (e12) (e11)) = (e10)) -> (~((op1 (e12) (op1 (e12) (e11))) = (e11))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (op1 (e12) (e10))) = (e10))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 83.65/83.81 do 0 intro. intros zenon_H56 zenon_H259 zenon_H1e4 zenon_H35d zenon_H230 zenon_H3a3 zenon_H244 zenon_H187 zenon_H1a0 zenon_H2cd zenon_H3a8 zenon_H181 zenon_H3ac zenon_H18e zenon_H1d8 zenon_H28f zenon_H365 zenon_H45 zenon_H50 zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H2c zenon_H17 zenon_H14 zenon_H25.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H42 | zenon_intro zenon_H57 ].
% 83.65/83.81 apply (zenon_L365_); trivial.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H57); [ zenon_intro zenon_H46 | zenon_intro zenon_H58 ].
% 83.65/83.81 apply (zenon_L15_); trivial.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H51 | zenon_intro zenon_H54 ].
% 83.65/83.81 apply (zenon_L17_); trivial.
% 83.65/83.81 apply (zenon_L19_); trivial.
% 83.65/83.81 (* end of lemma zenon_L366_ *)
% 83.65/83.81 assert (zenon_L367_ : (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((e11) = (e12))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (op1 (e12) (e10))) = (e10))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (op1 (e12) (e11))) = (e11))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e13)) = (e13)) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((op1 (op1 (e12) (e11)) (e12)) = (e11)) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 83.65/83.81 do 0 intro. intros zenon_H357 zenon_H1e zenon_H2e zenon_H249 zenon_H53 zenon_H45 zenon_H365 zenon_H28f zenon_H1d8 zenon_H18e zenon_H3ac zenon_H2cd zenon_H35d zenon_H1e4 zenon_H259 zenon_H56 zenon_H230 zenon_H3a3 zenon_H244 zenon_H187 zenon_H1a0 zenon_H1d4 zenon_H3a8 zenon_H4d zenon_H50 zenon_H3a zenon_H49 zenon_H2c zenon_H17 zenon_H14 zenon_H25.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H357); [ zenon_intro zenon_H1ff | zenon_intro zenon_H358 ].
% 83.65/83.81 apply (zenon_L321_); trivial.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H358); [ zenon_intro zenon_H181 | zenon_intro zenon_H359 ].
% 83.65/83.81 apply (zenon_L366_); trivial.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H359); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H51 ].
% 83.65/83.81 apply (zenon_L325_); trivial.
% 83.65/83.81 apply (zenon_L17_); trivial.
% 83.65/83.81 (* end of lemma zenon_L367_ *)
% 83.65/83.81 assert (zenon_L368_ : (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((e11) = (e12))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e11) (op1 (e12) (e11))) = (e11))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((op1 (op1 (e12) (e11)) (e12)) = (e11)) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 83.65/83.81 do 0 intro. intros zenon_H357 zenon_H2cd zenon_H1e zenon_H2e zenon_H249 zenon_H162 zenon_H299 zenon_H230 zenon_H3a3 zenon_H244 zenon_H187 zenon_H1a0 zenon_H1d4 zenon_H3a8 zenon_H4d zenon_H50 zenon_H3a zenon_H49 zenon_H2c zenon_H17 zenon_H14 zenon_H25.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H357); [ zenon_intro zenon_H1ff | zenon_intro zenon_H358 ].
% 83.65/83.81 apply (zenon_L321_); trivial.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H358); [ zenon_intro zenon_H181 | zenon_intro zenon_H359 ].
% 83.65/83.81 apply (zenon_L195_); trivial.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H359); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H51 ].
% 83.65/83.81 apply (zenon_L325_); trivial.
% 83.65/83.81 apply (zenon_L17_); trivial.
% 83.65/83.81 (* end of lemma zenon_L368_ *)
% 83.65/83.81 assert (zenon_L369_ : (~((e10) = (e11))) -> ((op1 (e13) (e10)) = (e10)) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (op1 (e12) (e11)) (e12)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e12) (op1 (e12) (e11))) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((e11) = (e12))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e11) (op1 (e12) (e11))) = (e11))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> False).
% 83.65/83.81 do 0 intro. intros zenon_H163 zenon_H194 zenon_H1c8 zenon_H53 zenon_H45 zenon_H56 zenon_H25 zenon_H17 zenon_H49 zenon_H50 zenon_H4d zenon_H3a8 zenon_H1d4 zenon_H3b1 zenon_H187 zenon_H3a3 zenon_H230 zenon_H357 zenon_H1a0 zenon_H3b3 zenon_H1f4 zenon_H3ac zenon_H1bf zenon_H2cd zenon_H1e zenon_H2e zenon_H249 zenon_H299 zenon_H1f3 zenon_H14 zenon_H2c zenon_H3a.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H2d | zenon_intro zenon_H24a ].
% 83.65/83.81 apply (zenon_L7_); trivial.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H34 | zenon_intro zenon_H24b ].
% 83.65/83.81 apply (zenon_L9_); trivial.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H244 | zenon_intro zenon_H39 ].
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H2d | zenon_intro zenon_H1f6 ].
% 83.65/83.81 apply (zenon_L7_); trivial.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H162 | zenon_intro zenon_H1f7 ].
% 83.65/83.81 apply (zenon_L368_); trivial.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H16c | zenon_intro zenon_H195 ].
% 83.65/83.81 apply (zenon_L342_); trivial.
% 83.65/83.81 apply (zenon_L102_); trivial.
% 83.65/83.81 apply (zenon_L10_); trivial.
% 83.65/83.81 (* end of lemma zenon_L369_ *)
% 83.65/83.81 assert (zenon_L370_ : (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (op1 (e12) (e11))) = (e11))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (op1 (e12) (e11)) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((e12) = (op1 (e10) (e10))) -> (~((e10) = (e12))) -> ((op1 (e12) (e11)) = (e10)) -> (~((op1 (e12) (op1 (e12) (e12))) = (e12))) -> (~((e11) = (e12))) -> False).
% 83.65/83.81 do 0 intro. intros zenon_H1ba zenon_H3ac zenon_H1a0 zenon_H244 zenon_H3a3 zenon_H187 zenon_H14 zenon_H1b6 zenon_H18e zenon_H2c zenon_H3f zenon_H181 zenon_H2ac zenon_H2e.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H16c | zenon_intro zenon_H1bd ].
% 83.65/83.81 apply (zenon_L323_); trivial.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H184 | zenon_intro zenon_H1be ].
% 83.65/83.81 apply (zenon_L318_); trivial.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H186 | zenon_intro zenon_H1b3 ].
% 83.65/83.81 apply (zenon_L100_); trivial.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H18d | zenon_intro zenon_H1b7 ].
% 83.65/83.81 apply (zenon_L101_); trivial.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H182 | zenon_intro zenon_H1b8 ].
% 83.65/83.81 apply (zenon_L98_); trivial.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1b4 ].
% 83.65/83.81 apply (zenon_L200_); trivial.
% 83.65/83.81 apply (zenon_L110_); trivial.
% 83.65/83.81 (* end of lemma zenon_L370_ *)
% 83.65/83.81 assert (zenon_L371_ : (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((op1 (e12) (e11)) = (e10)) -> (~((op1 (e12) (op1 (e12) (e11))) = (e11))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (op1 (e12) (e11)) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((op1 (e13) (e12)) = (op1 (e12) (e13))) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> False).
% 83.65/83.81 do 0 intro. intros zenon_H1ba zenon_H181 zenon_H3ac zenon_H1a0 zenon_H3a3 zenon_H187 zenon_H2c zenon_H14 zenon_H2bc zenon_H244 zenon_H204.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H16c | zenon_intro zenon_H1bd ].
% 83.65/83.81 apply (zenon_L323_); trivial.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H184 | zenon_intro zenon_H1be ].
% 83.65/83.81 apply (zenon_L318_); trivial.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H186 | zenon_intro zenon_H1b3 ].
% 83.65/83.81 apply (zenon_L100_); trivial.
% 83.65/83.81 elim (classic ((op1 (e13) (e12)) = (op1 (e13) (e12)))); [ zenon_intro zenon_H205 | zenon_intro zenon_H206 ].
% 83.65/83.81 cut (((op1 (e13) (e12)) = (op1 (e13) (e12))) = ((op1 (e10) (e12)) = (op1 (e13) (e12)))).
% 83.65/83.81 intro zenon_D_pnotp.
% 83.65/83.81 apply zenon_H204.
% 83.65/83.81 rewrite <- zenon_D_pnotp.
% 83.65/83.81 exact zenon_H205.
% 83.65/83.81 cut (((op1 (e13) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H206].
% 83.65/83.81 cut (((op1 (e13) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H207].
% 83.65/83.81 congruence.
% 83.65/83.81 cut (((op1 (e12) (e13)) = (e11)) = ((op1 (e13) (e12)) = (op1 (e10) (e12)))).
% 83.65/83.81 intro zenon_D_pnotp.
% 83.65/83.81 apply zenon_H207.
% 83.65/83.81 rewrite <- zenon_D_pnotp.
% 83.65/83.81 exact zenon_H1b3.
% 83.65/83.81 cut (((e11) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H2ee].
% 83.65/83.81 cut (((op1 (e12) (e13)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H2d6].
% 83.65/83.81 congruence.
% 83.65/83.81 elim (classic ((op1 (e13) (e12)) = (op1 (e13) (e12)))); [ zenon_intro zenon_H205 | zenon_intro zenon_H206 ].
% 83.65/83.81 cut (((op1 (e13) (e12)) = (op1 (e13) (e12))) = ((op1 (e12) (e13)) = (op1 (e13) (e12)))).
% 83.65/83.81 intro zenon_D_pnotp.
% 83.65/83.81 apply zenon_H2d6.
% 83.65/83.81 rewrite <- zenon_D_pnotp.
% 83.65/83.81 exact zenon_H205.
% 83.65/83.81 cut (((op1 (e13) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H206].
% 83.65/83.81 cut (((op1 (e13) (e12)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2c1].
% 83.65/83.81 congruence.
% 83.65/83.81 exact (zenon_H2c1 zenon_H2bc).
% 83.65/83.81 apply zenon_H206. apply refl_equal.
% 83.65/83.81 apply zenon_H206. apply refl_equal.
% 83.65/83.81 apply zenon_H2ee. apply sym_equal. exact zenon_H244.
% 83.65/83.81 apply zenon_H206. apply refl_equal.
% 83.65/83.81 apply zenon_H206. apply refl_equal.
% 83.65/83.81 (* end of lemma zenon_L371_ *)
% 83.65/83.81 assert (zenon_L372_ : (~((op1 (e11) (op1 (e13) (e10))) = (op1 (e11) (e10)))) -> ((op1 (e13) (e10)) = (e10)) -> False).
% 83.65/83.81 do 0 intro. intros zenon_H3c0 zenon_H194.
% 83.65/83.81 cut (((op1 (e13) (e10)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H3c1].
% 83.65/83.81 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H165].
% 83.65/83.81 congruence.
% 83.65/83.81 apply zenon_H165. apply refl_equal.
% 83.65/83.81 exact (zenon_H3c1 zenon_H194).
% 83.65/83.81 (* end of lemma zenon_L372_ *)
% 83.65/83.81 assert (zenon_L373_ : (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((e10) = (e11))) -> ((op1 (e13) (e10)) = (e10)) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (op1 (e12) (e11)) (e12)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e12) (op1 (e12) (e11))) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (op1 (e13) (e10))) = (e11))) -> (~((e11) = (e12))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> False).
% 83.65/83.81 do 0 intro. intros zenon_H249 zenon_H1e zenon_H163 zenon_H194 zenon_H1c8 zenon_H53 zenon_H45 zenon_H56 zenon_H25 zenon_H17 zenon_H49 zenon_H50 zenon_H4d zenon_H3a8 zenon_H1d4 zenon_H3b1 zenon_H187 zenon_H3a3 zenon_H230 zenon_H357 zenon_H1a0 zenon_H3b3 zenon_H1f4 zenon_H3ac zenon_H1bf zenon_H3c2 zenon_H2e zenon_H1f3 zenon_H14 zenon_H2c zenon_H3a.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H2d | zenon_intro zenon_H24a ].
% 83.65/83.81 apply (zenon_L7_); trivial.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H34 | zenon_intro zenon_H24b ].
% 83.65/83.81 apply (zenon_L9_); trivial.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H244 | zenon_intro zenon_H39 ].
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H2d | zenon_intro zenon_H1f6 ].
% 83.65/83.81 apply (zenon_L7_); trivial.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H162 | zenon_intro zenon_H1f7 ].
% 83.65/83.81 cut (((op1 (e11) (e10)) = (e11)) = ((op1 (e11) (op1 (e13) (e10))) = (e11))).
% 83.65/83.81 intro zenon_D_pnotp.
% 83.65/83.81 apply zenon_H3c2.
% 83.65/83.81 rewrite <- zenon_D_pnotp.
% 83.65/83.81 exact zenon_H162.
% 83.65/83.81 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H165].
% 83.65/83.81 cut (((op1 (e11) (e10)) = (op1 (e11) (op1 (e13) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H3c3].
% 83.65/83.81 congruence.
% 83.65/83.81 elim (classic ((op1 (e11) (op1 (e13) (e10))) = (op1 (e11) (op1 (e13) (e10))))); [ zenon_intro zenon_H3c4 | zenon_intro zenon_H3c5 ].
% 83.65/83.81 cut (((op1 (e11) (op1 (e13) (e10))) = (op1 (e11) (op1 (e13) (e10)))) = ((op1 (e11) (e10)) = (op1 (e11) (op1 (e13) (e10))))).
% 83.65/83.81 intro zenon_D_pnotp.
% 83.65/83.81 apply zenon_H3c3.
% 83.65/83.81 rewrite <- zenon_D_pnotp.
% 83.65/83.81 exact zenon_H3c4.
% 83.65/83.81 cut (((op1 (e11) (op1 (e13) (e10))) = (op1 (e11) (op1 (e13) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H3c5].
% 83.65/83.81 cut (((op1 (e11) (op1 (e13) (e10))) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H3c0].
% 83.65/83.81 congruence.
% 83.65/83.81 apply (zenon_L372_); trivial.
% 83.65/83.81 apply zenon_H3c5. apply refl_equal.
% 83.65/83.81 apply zenon_H3c5. apply refl_equal.
% 83.65/83.81 apply zenon_H165. apply refl_equal.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H16c | zenon_intro zenon_H195 ].
% 83.65/83.81 apply (zenon_L342_); trivial.
% 83.65/83.81 apply (zenon_L102_); trivial.
% 83.65/83.81 apply (zenon_L10_); trivial.
% 83.65/83.81 (* end of lemma zenon_L373_ *)
% 83.65/83.81 assert (zenon_L374_ : (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (op1 (e12) (e11)) (e12)) = (e11)) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (op1 (e12) (e11))) = (e11))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((e11) = (e12))) -> ((op1 (e11) (e11)) = (e11)) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((e12) = (op1 (e10) (e10))) -> (~((e10) = (e12))) -> ((op1 (e12) (e11)) = (e10)) -> (~((op1 (e12) (op1 (e13) (e11))) = (e12))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> False).
% 83.65/83.81 do 0 intro. intros zenon_H1e8 zenon_H1cf zenon_H1a5 zenon_H14 zenon_H187 zenon_H3a3 zenon_H244 zenon_H1a0 zenon_H3ac zenon_H1ba zenon_H1b9 zenon_H16 zenon_H2e zenon_H17e zenon_H1b6 zenon_H18e zenon_H2c zenon_H3f zenon_H181 zenon_H2c9 zenon_H1e4.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1ce | zenon_intro zenon_H1e9 ].
% 83.65/83.81 apply (zenon_L116_); trivial.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H17f | zenon_intro zenon_H1ea ].
% 83.65/83.81 apply (zenon_L97_); trivial.
% 83.65/83.81 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1e5 ].
% 83.65/83.81 apply (zenon_L336_); trivial.
% 83.65/83.81 apply (zenon_L216_); trivial.
% 83.65/83.81 (* end of lemma zenon_L374_ *)
% 83.65/83.81 assert (zenon_L375_ : (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (op1 (e12) (e11)) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((e10) = (e11))) -> (~((op1 (e12) (op1 (e12) (e11))) = (e11))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> ((op1 (e11) (e10)) = (e10)) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e12) (op1 (e13) (e11))) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> False).
% 83.65/83.81 do 0 intro. intros zenon_H249 zenon_H1e zenon_H1e4 zenon_H187 zenon_H3a3 zenon_H1a0 zenon_H357 zenon_H163 zenon_H3ac zenon_H230 zenon_H3b1 zenon_H1d4 zenon_H3a8 zenon_H4d zenon_H50 zenon_H49 zenon_H17 zenon_H25 zenon_H1ba zenon_H1b9 zenon_H16 zenon_H2e zenon_H3f zenon_H161 zenon_H1f4 zenon_H2c9 zenon_H18e zenon_H1b6 zenon_H1a5 zenon_H1cf zenon_H1e8 zenon_H56 zenon_H45 zenon_H53 zenon_H1c8 zenon_H14 zenon_H2c zenon_H3a.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H2d | zenon_intro zenon_H24a ].
% 83.65/83.82 apply (zenon_L7_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H34 | zenon_intro zenon_H24b ].
% 83.65/83.82 apply (zenon_L9_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H244 | zenon_intro zenon_H39 ].
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H43 | zenon_intro zenon_H1ca ].
% 83.65/83.82 apply (zenon_L20_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H177 | zenon_intro zenon_H1cb ].
% 83.65/83.82 apply (zenon_L332_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H181 | zenon_intro zenon_H197 ].
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H162 | zenon_intro zenon_H1fa ].
% 83.65/83.82 apply (zenon_L90_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H17e | zenon_intro zenon_H1fb ].
% 83.65/83.82 apply (zenon_L374_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H19f | zenon_intro zenon_H1eb ].
% 83.65/83.82 apply (zenon_L105_); trivial.
% 83.65/83.82 apply (zenon_L331_); trivial.
% 83.65/83.82 apply (zenon_L334_); trivial.
% 83.65/83.82 apply (zenon_L10_); trivial.
% 83.65/83.82 (* end of lemma zenon_L375_ *)
% 83.65/83.82 assert (zenon_L376_ : (~((e13) = (e13))) -> False).
% 83.65/83.82 do 0 intro. intros zenon_H1f0.
% 83.65/83.82 apply zenon_H1f0. apply refl_equal.
% 83.65/83.82 (* end of lemma zenon_L376_ *)
% 83.65/83.82 assert (zenon_L377_ : ((op1 (e11) (e13)) = (op1 (e13) (e11))) -> ((op1 (e11) (e13)) = (e13)) -> ((op1 (e13) (e11)) = (e11)) -> (~((op1 (e13) (op1 (e13) (e11))) = (e13))) -> False).
% 83.65/83.82 do 0 intro. intros zenon_H2c7 zenon_H259 zenon_H1c0 zenon_H2d4.
% 83.65/83.82 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H1ef | zenon_intro zenon_H1f0 ].
% 83.65/83.82 cut (((e13) = (e13)) = ((op1 (e13) (op1 (e13) (e11))) = (e13))).
% 83.65/83.82 intro zenon_D_pnotp.
% 83.65/83.82 apply zenon_H2d4.
% 83.65/83.82 rewrite <- zenon_D_pnotp.
% 83.65/83.82 exact zenon_H1ef.
% 83.65/83.82 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H1f0].
% 83.65/83.82 cut (((e13) = (op1 (e13) (op1 (e13) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H3c6].
% 83.65/83.82 congruence.
% 83.65/83.82 cut (((op1 (e11) (e13)) = (op1 (e13) (e11))) = ((e13) = (op1 (e13) (op1 (e13) (e11))))).
% 83.65/83.82 intro zenon_D_pnotp.
% 83.65/83.82 apply zenon_H3c6.
% 83.65/83.82 rewrite <- zenon_D_pnotp.
% 83.65/83.82 exact zenon_H2c7.
% 83.65/83.82 cut (((op1 (e13) (e11)) = (op1 (e13) (op1 (e13) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H3c7].
% 83.65/83.82 cut (((op1 (e11) (e13)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H25c].
% 83.65/83.82 congruence.
% 83.65/83.82 exact (zenon_H25c zenon_H259).
% 83.65/83.82 cut (((e11) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H1c1].
% 83.65/83.82 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H1f0].
% 83.65/83.82 congruence.
% 83.65/83.82 apply zenon_H1f0. apply refl_equal.
% 83.65/83.82 apply zenon_H1c1. apply sym_equal. exact zenon_H1c0.
% 83.65/83.82 apply zenon_H1f0. apply refl_equal.
% 83.65/83.82 apply zenon_H1f0. apply refl_equal.
% 83.65/83.82 (* end of lemma zenon_L377_ *)
% 83.65/83.82 assert (zenon_L378_ : (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((e11) = (e13))) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((e10) = (e13))) -> ((op1 (e11) (e12)) = (e10)) -> ((op1 (e11) (e13)) = (op1 (e13) (e11))) -> ((op1 (e13) (e11)) = (e11)) -> (~((op1 (e13) (op1 (e13) (e11))) = (e13))) -> False).
% 83.65/83.82 do 0 intro. intros zenon_H25d zenon_H1ee zenon_H162 zenon_H229 zenon_H14 zenon_H17 zenon_H200 zenon_H19b zenon_H2c7 zenon_H1c0 zenon_H2d4.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H1aa | zenon_intro zenon_H25e ].
% 83.65/83.82 apply (zenon_L177_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H228 | zenon_intro zenon_H25f ].
% 83.65/83.82 apply (zenon_L147_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H25f); [ zenon_intro zenon_H1ab | zenon_intro zenon_H259 ].
% 83.65/83.82 apply (zenon_L159_); trivial.
% 83.65/83.82 apply (zenon_L377_); trivial.
% 83.65/83.82 (* end of lemma zenon_L378_ *)
% 83.65/83.82 assert (zenon_L379_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e12) (e13)) = (op1 (e13) (e12))) -> ((op1 (e13) (e12)) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 83.65/83.82 do 0 intro. intros zenon_H56 zenon_H2d5 zenon_H19c zenon_H45 zenon_H50 zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H2c zenon_H17 zenon_H14 zenon_H25.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H42 | zenon_intro zenon_H57 ].
% 83.65/83.82 apply (zenon_L221_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H57); [ zenon_intro zenon_H46 | zenon_intro zenon_H58 ].
% 83.65/83.82 apply (zenon_L15_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H51 | zenon_intro zenon_H54 ].
% 83.65/83.82 apply (zenon_L17_); trivial.
% 83.65/83.82 apply (zenon_L19_); trivial.
% 83.65/83.82 (* end of lemma zenon_L379_ *)
% 83.65/83.82 assert (zenon_L380_ : (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e11))) -> ((op1 (e13) (e10)) = (e11)) -> (~((e10) = (e12))) -> ((op1 (e13) (e11)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e12) (e13)) = (op1 (e13) (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 83.65/83.82 do 0 intro. intros zenon_H1b0 zenon_H163 zenon_H195 zenon_H3f zenon_H198 zenon_H50 zenon_H45 zenon_H2d5 zenon_H56 zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H2c zenon_H17 zenon_H14 zenon_H25.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H194 | zenon_intro zenon_H1b1 ].
% 83.65/83.82 apply (zenon_L102_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H197 | zenon_intro zenon_H1b2 ].
% 83.65/83.82 apply (zenon_L103_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H19c | zenon_intro zenon_H54 ].
% 83.65/83.82 apply (zenon_L379_); trivial.
% 83.65/83.82 apply (zenon_L19_); trivial.
% 83.65/83.82 (* end of lemma zenon_L380_ *)
% 83.65/83.82 assert (zenon_L381_ : (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e10) (op1 (e13) (e12))) = (e10))) -> ((op1 (e11) (e12)) = (e10)) -> (~((e10) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (op1 (e12) (e11))) = (e11))) -> ((op1 (e12) (e11)) = (e10)) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (op1 (e12) (e11)) (e12)) = (e11)) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e13)) = (e13)) -> False).
% 83.65/83.82 do 0 intro. intros zenon_H365 zenon_H42 zenon_H36f zenon_H19b zenon_H200 zenon_H1e zenon_H373 zenon_H1d8 zenon_H2c zenon_H18e zenon_H3ac zenon_H181 zenon_H3a8 zenon_H2cd zenon_H1a0 zenon_H187 zenon_H244 zenon_H3a3 zenon_H17 zenon_H14 zenon_H230 zenon_H35d zenon_H1e4 zenon_H259.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H365); [ zenon_intro zenon_H1d9 | zenon_intro zenon_H366 ].
% 83.65/83.82 apply (zenon_L310_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H366); [ zenon_intro zenon_H22f | zenon_intro zenon_H367 ].
% 83.65/83.82 apply (zenon_L148_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H367); [ zenon_intro zenon_H1da | zenon_intro zenon_H363 ].
% 83.65/83.82 apply (zenon_L364_); trivial.
% 83.65/83.82 apply (zenon_L294_); trivial.
% 83.65/83.82 (* end of lemma zenon_L381_ *)
% 83.65/83.82 assert (zenon_L382_ : (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((e11) = (e13))) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e10) (op1 (e13) (e12))) = (e10))) -> ((op1 (e11) (e12)) = (e10)) -> (~((e10) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (op1 (e12) (e11))) = (e11))) -> ((op1 (e12) (e11)) = (e10)) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (op1 (e12) (e11)) (e12)) = (e11)) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> False).
% 83.65/83.82 do 0 intro. intros zenon_H25d zenon_H1ee zenon_H162 zenon_H229 zenon_H365 zenon_H42 zenon_H36f zenon_H19b zenon_H200 zenon_H1e zenon_H373 zenon_H1d8 zenon_H2c zenon_H18e zenon_H3ac zenon_H181 zenon_H3a8 zenon_H2cd zenon_H1a0 zenon_H187 zenon_H244 zenon_H3a3 zenon_H17 zenon_H14 zenon_H230 zenon_H35d zenon_H1e4.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H1aa | zenon_intro zenon_H25e ].
% 83.65/83.82 apply (zenon_L177_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H228 | zenon_intro zenon_H25f ].
% 83.65/83.82 apply (zenon_L147_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H25f); [ zenon_intro zenon_H1ab | zenon_intro zenon_H259 ].
% 83.65/83.82 apply (zenon_L159_); trivial.
% 83.65/83.82 apply (zenon_L381_); trivial.
% 83.65/83.82 (* end of lemma zenon_L382_ *)
% 83.65/83.82 assert (zenon_L383_ : (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((op1 (op1 (e12) (e11)) (e12)) = (e11)) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e12) (op1 (e12) (e11))) = (e11))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((e10) = (e13))) -> (~((op1 (e10) (op1 (e13) (e12))) = (e10))) -> ((op1 (e10) (e13)) = (e10)) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e11) (e10)) = (e11)) -> (~((e11) = (e13))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e12) (e11)) = (e10)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e10)) = (e10)) -> False).
% 83.65/83.82 do 0 intro. intros zenon_H256 zenon_H3a zenon_H1e4 zenon_H35d zenon_H230 zenon_H14 zenon_H17 zenon_H3a3 zenon_H244 zenon_H187 zenon_H1a0 zenon_H2cd zenon_H3a8 zenon_H3ac zenon_H18e zenon_H2c zenon_H1d8 zenon_H373 zenon_H1e zenon_H200 zenon_H36f zenon_H42 zenon_H365 zenon_H229 zenon_H162 zenon_H1ee zenon_H25d zenon_H181 zenon_H1d4 zenon_H252 zenon_H194.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H59 | zenon_intro zenon_H257 ].
% 83.65/83.82 apply (zenon_L21_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H19b | zenon_intro zenon_H258 ].
% 83.65/83.82 apply (zenon_L382_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H19c ].
% 83.65/83.82 apply (zenon_L117_); trivial.
% 83.65/83.82 apply (zenon_L288_); trivial.
% 83.65/83.82 (* end of lemma zenon_L383_ *)
% 83.65/83.82 assert (zenon_L384_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e13) (e10)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e11)) = (e10)) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((e11) = (e13))) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (op1 (e13) (e12))) = (e10))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (op1 (e12) (e11))) = (e11))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (op1 (e12) (e11)) (e12)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 83.65/83.82 do 0 intro. intros zenon_H56 zenon_H194 zenon_H252 zenon_H1d4 zenon_H181 zenon_H25d zenon_H1ee zenon_H162 zenon_H229 zenon_H365 zenon_H36f zenon_H200 zenon_H1e zenon_H373 zenon_H1d8 zenon_H18e zenon_H3ac zenon_H3a8 zenon_H2cd zenon_H1a0 zenon_H187 zenon_H244 zenon_H3a3 zenon_H230 zenon_H35d zenon_H1e4 zenon_H256 zenon_H45 zenon_H50 zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H2c zenon_H17 zenon_H14 zenon_H25.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H42 | zenon_intro zenon_H57 ].
% 83.65/83.82 apply (zenon_L383_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H57); [ zenon_intro zenon_H46 | zenon_intro zenon_H58 ].
% 83.65/83.82 apply (zenon_L15_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H51 | zenon_intro zenon_H54 ].
% 83.65/83.82 apply (zenon_L17_); trivial.
% 83.65/83.82 apply (zenon_L19_); trivial.
% 83.65/83.82 (* end of lemma zenon_L384_ *)
% 83.65/83.82 assert (zenon_L385_ : (~((op1 (e11) (op1 (e13) (e13))) = (op1 (e11) (e11)))) -> ((op1 (e13) (e13)) = (e11)) -> False).
% 83.65/83.82 do 0 intro. intros zenon_H3c8 zenon_H20b.
% 83.65/83.82 cut (((op1 (e13) (e13)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H3c9].
% 83.65/83.82 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H165].
% 83.65/83.82 congruence.
% 83.65/83.82 apply zenon_H165. apply refl_equal.
% 83.65/83.82 exact (zenon_H3c9 zenon_H20b).
% 83.65/83.82 (* end of lemma zenon_L385_ *)
% 83.65/83.82 assert (zenon_L386_ : (~((op1 (e11) (op1 (e13) (e13))) = (e11))) -> ((op1 (e11) (e11)) = (e11)) -> ((op1 (e13) (e13)) = (e11)) -> False).
% 83.65/83.82 do 0 intro. intros zenon_H3a0 zenon_H17e zenon_H20b.
% 83.65/83.82 cut (((op1 (e11) (e11)) = (e11)) = ((op1 (e11) (op1 (e13) (e13))) = (e11))).
% 83.65/83.82 intro zenon_D_pnotp.
% 83.65/83.82 apply zenon_H3a0.
% 83.65/83.82 rewrite <- zenon_D_pnotp.
% 83.65/83.82 exact zenon_H17e.
% 83.65/83.82 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H165].
% 83.65/83.82 cut (((op1 (e11) (e11)) = (op1 (e11) (op1 (e13) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3ca].
% 83.65/83.82 congruence.
% 83.65/83.82 elim (classic ((op1 (e11) (op1 (e13) (e13))) = (op1 (e11) (op1 (e13) (e13))))); [ zenon_intro zenon_H3cb | zenon_intro zenon_H3cc ].
% 83.65/83.82 cut (((op1 (e11) (op1 (e13) (e13))) = (op1 (e11) (op1 (e13) (e13)))) = ((op1 (e11) (e11)) = (op1 (e11) (op1 (e13) (e13))))).
% 83.65/83.82 intro zenon_D_pnotp.
% 83.65/83.82 apply zenon_H3ca.
% 83.65/83.82 rewrite <- zenon_D_pnotp.
% 83.65/83.82 exact zenon_H3cb.
% 83.65/83.82 cut (((op1 (e11) (op1 (e13) (e13))) = (op1 (e11) (op1 (e13) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3cc].
% 83.65/83.82 cut (((op1 (e11) (op1 (e13) (e13))) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H3c8].
% 83.65/83.82 congruence.
% 83.65/83.82 apply (zenon_L385_); trivial.
% 83.65/83.82 apply zenon_H3cc. apply refl_equal.
% 83.65/83.82 apply zenon_H3cc. apply refl_equal.
% 83.65/83.82 apply zenon_H165. apply refl_equal.
% 83.65/83.82 (* end of lemma zenon_L386_ *)
% 83.65/83.82 assert (zenon_L387_ : (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e11)) = (e11)) -> (~((op1 (e11) (op1 (e13) (e13))) = (e11))) -> ((op1 (e11) (e13)) = (e12)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (op1 (e13) (e13))) = (e10))) -> ((op1 (e10) (e13)) = (e10)) -> False).
% 83.65/83.82 do 0 intro. intros zenon_H2e3 zenon_H53 zenon_H17e zenon_H3a0 zenon_H1e5 zenon_H343 zenon_H2df zenon_H42.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H54 | zenon_intro zenon_H2e4 ].
% 83.65/83.82 apply (zenon_L18_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H2e4); [ zenon_intro zenon_H20b | zenon_intro zenon_H2e5 ].
% 83.65/83.82 apply (zenon_L386_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H2da | zenon_intro zenon_H2dd ].
% 83.65/83.82 apply (zenon_L265_); trivial.
% 83.65/83.82 apply (zenon_L225_); trivial.
% 83.65/83.82 (* end of lemma zenon_L387_ *)
% 83.65/83.82 assert (zenon_L388_ : (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (op1 (e12) (e11)) (e12)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (op1 (e12) (e11))) = (e11))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e11)) = (e11)) -> (~((op1 (e11) (op1 (e13) (e13))) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (op1 (e13) (e13))) = (e10))) -> ((op1 (e10) (e13)) = (e10)) -> False).
% 83.65/83.82 do 0 intro. intros zenon_H1e8 zenon_H1cf zenon_H25 zenon_H14 zenon_H17 zenon_H2c zenon_H49 zenon_H3a zenon_H50 zenon_H4d zenon_H3a8 zenon_H1d4 zenon_H1a0 zenon_H187 zenon_H244 zenon_H3a3 zenon_H230 zenon_H1ba zenon_H3ac zenon_H1b6 zenon_H18e zenon_H3f zenon_H1a5 zenon_H2e zenon_H2cd zenon_H357 zenon_H2e3 zenon_H53 zenon_H17e zenon_H3a0 zenon_H343 zenon_H2df zenon_H42.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1ce | zenon_intro zenon_H1e9 ].
% 83.65/83.82 apply (zenon_L116_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H17f | zenon_intro zenon_H1ea ].
% 83.65/83.82 apply (zenon_L97_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1e5 ].
% 83.65/83.82 apply (zenon_L337_); trivial.
% 83.65/83.82 apply (zenon_L387_); trivial.
% 83.65/83.82 (* end of lemma zenon_L388_ *)
% 83.65/83.82 assert (zenon_L389_ : (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((e12) = (e13))) -> ((op1 (e11) (e13)) = (e13)) -> (~((e11) = (e12))) -> ((op1 (e12) (e13)) = (e11)) -> (~((op1 (e12) (op1 (e13) (e13))) = (e12))) -> ((op1 (e12) (e12)) = (e12)) -> False).
% 83.65/83.82 do 0 intro. intros zenon_H345 zenon_H49 zenon_H2c zenon_H25a zenon_H259 zenon_H2e zenon_H1b3 zenon_H378 zenon_H1a7.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H345); [ zenon_intro zenon_H48 | zenon_intro zenon_H349 ].
% 83.65/83.82 apply (zenon_L14_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H349); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H34a ].
% 83.65/83.82 apply (zenon_L162_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H34a); [ zenon_intro zenon_H1b4 | zenon_intro zenon_H2da ].
% 83.65/83.82 apply (zenon_L110_); trivial.
% 83.65/83.82 apply (zenon_L314_); trivial.
% 83.65/83.82 (* end of lemma zenon_L389_ *)
% 83.65/83.82 assert (zenon_L390_ : (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e10) = (e12))) -> ((op1 (e12) (e11)) = (e10)) -> (~((op1 (e12) (op1 (e13) (e13))) = (e12))) -> ((op1 (e11) (e13)) = (e13)) -> (~((e12) = (e13))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e12) (e13)) = (e11)) -> (~((e11) = (e12))) -> False).
% 83.65/83.82 do 0 intro. intros zenon_H1b6 zenon_H18e zenon_H3f zenon_H181 zenon_H378 zenon_H259 zenon_H25a zenon_H2c zenon_H49 zenon_H345 zenon_H1b3 zenon_H2e.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H18d | zenon_intro zenon_H1b7 ].
% 83.65/83.82 apply (zenon_L101_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H182 | zenon_intro zenon_H1b8 ].
% 83.65/83.82 apply (zenon_L98_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1b4 ].
% 83.65/83.82 apply (zenon_L389_); trivial.
% 83.65/83.82 apply (zenon_L110_); trivial.
% 83.65/83.82 (* end of lemma zenon_L390_ *)
% 83.65/83.82 assert (zenon_L391_ : (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (op1 (e12) (e11))) = (e11))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (op1 (e12) (e11)) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e10) = (e12))) -> ((op1 (e12) (e11)) = (e10)) -> (~((op1 (e12) (op1 (e13) (e13))) = (e12))) -> ((op1 (e11) (e13)) = (e13)) -> (~((e12) = (e13))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e11) = (e12))) -> False).
% 83.65/83.82 do 0 intro. intros zenon_H1ba zenon_H3ac zenon_H1a0 zenon_H244 zenon_H3a3 zenon_H187 zenon_H14 zenon_H1b6 zenon_H18e zenon_H3f zenon_H181 zenon_H378 zenon_H259 zenon_H25a zenon_H2c zenon_H49 zenon_H345 zenon_H2e.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H16c | zenon_intro zenon_H1bd ].
% 83.65/83.82 apply (zenon_L323_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H184 | zenon_intro zenon_H1be ].
% 83.65/83.82 apply (zenon_L318_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H186 | zenon_intro zenon_H1b3 ].
% 83.65/83.82 apply (zenon_L100_); trivial.
% 83.65/83.82 apply (zenon_L390_); trivial.
% 83.65/83.82 (* end of lemma zenon_L391_ *)
% 83.65/83.82 assert (zenon_L392_ : (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((e11) = (e13))) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((e10) = (e13))) -> ((op1 (e11) (e12)) = (e10)) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (op1 (e12) (e11))) = (e11))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (op1 (e12) (e11)) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e10) = (e12))) -> ((op1 (e12) (e11)) = (e10)) -> (~((op1 (e12) (op1 (e13) (e13))) = (e12))) -> (~((e12) = (e13))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e11) = (e12))) -> False).
% 83.65/83.82 do 0 intro. intros zenon_H25d zenon_H1ee zenon_H162 zenon_H229 zenon_H17 zenon_H200 zenon_H19b zenon_H1ba zenon_H3ac zenon_H1a0 zenon_H244 zenon_H3a3 zenon_H187 zenon_H14 zenon_H1b6 zenon_H18e zenon_H3f zenon_H181 zenon_H378 zenon_H25a zenon_H2c zenon_H49 zenon_H345 zenon_H2e.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H1aa | zenon_intro zenon_H25e ].
% 83.65/83.82 apply (zenon_L177_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H228 | zenon_intro zenon_H25f ].
% 83.65/83.82 apply (zenon_L147_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H25f); [ zenon_intro zenon_H1ab | zenon_intro zenon_H259 ].
% 83.65/83.82 apply (zenon_L159_); trivial.
% 83.65/83.82 apply (zenon_L391_); trivial.
% 83.65/83.82 (* end of lemma zenon_L392_ *)
% 83.65/83.82 assert (zenon_L393_ : (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> ((op1 (e10) (e13)) = (e10)) -> (~((e11) = (e12))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((e12) = (e13))) -> (~((op1 (e12) (op1 (e13) (e13))) = (e12))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (op1 (e12) (e11)) (e12)) = (e11)) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (op1 (e12) (e11))) = (e11))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e11) (e10)) = (e11)) -> (~((e11) = (e13))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e12) (e11)) = (e10)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e10)) = (e10)) -> False).
% 83.65/83.82 do 0 intro. intros zenon_H256 zenon_H3a zenon_H42 zenon_H2e zenon_H345 zenon_H49 zenon_H2c zenon_H25a zenon_H378 zenon_H3f zenon_H18e zenon_H1b6 zenon_H14 zenon_H187 zenon_H3a3 zenon_H244 zenon_H1a0 zenon_H3ac zenon_H1ba zenon_H200 zenon_H17 zenon_H229 zenon_H162 zenon_H1ee zenon_H25d zenon_H181 zenon_H1d4 zenon_H252 zenon_H194.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H59 | zenon_intro zenon_H257 ].
% 83.65/83.82 apply (zenon_L21_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H19b | zenon_intro zenon_H258 ].
% 83.65/83.82 apply (zenon_L392_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H19c ].
% 83.65/83.82 apply (zenon_L117_); trivial.
% 83.65/83.82 apply (zenon_L288_); trivial.
% 83.65/83.82 (* end of lemma zenon_L393_ *)
% 83.65/83.82 assert (zenon_L394_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e13) (e10)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e11)) = (e10)) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((e11) = (e13))) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((e10) = (e13))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (op1 (e12) (e11))) = (e11))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (op1 (e12) (e11)) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e10) = (e12))) -> (~((op1 (e12) (op1 (e13) (e13))) = (e12))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e11) = (e12))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 83.65/83.82 do 0 intro. intros zenon_H56 zenon_H194 zenon_H252 zenon_H1d4 zenon_H181 zenon_H25d zenon_H1ee zenon_H162 zenon_H229 zenon_H200 zenon_H1ba zenon_H3ac zenon_H1a0 zenon_H244 zenon_H3a3 zenon_H187 zenon_H1b6 zenon_H18e zenon_H3f zenon_H378 zenon_H25a zenon_H345 zenon_H2e zenon_H256 zenon_H45 zenon_H50 zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H2c zenon_H17 zenon_H14 zenon_H25.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H42 | zenon_intro zenon_H57 ].
% 83.65/83.82 apply (zenon_L393_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H57); [ zenon_intro zenon_H46 | zenon_intro zenon_H58 ].
% 83.65/83.82 apply (zenon_L15_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H51 | zenon_intro zenon_H54 ].
% 83.65/83.82 apply (zenon_L17_); trivial.
% 83.65/83.82 apply (zenon_L19_); trivial.
% 83.65/83.82 (* end of lemma zenon_L394_ *)
% 83.65/83.82 assert (zenon_L395_ : ((~((op1 (e12) (op1 (e12) (e11))) = (e11)))/\(((op1 (op1 (e12) (e11)) (e12)) = (e11))/\(~((op1 (op1 (e12) (e11)) (e11)) = (e12))))) -> ((((op1 (e10) (e10)) = (op1 (e10) (e10)))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e10) (e10))) = (e11)))/\((~((op1 (e12) (op1 (e10) (e10))) = (e12)))/\(~((op1 (e13) (op1 (e10) (e10))) = (e13)))))))\/((((op1 (e11) (e10)) = (op1 (e10) (e11)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e10)))/\((~((op1 (e11) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e10) (e11))) = (e12)))/\(~((op1 (e13) (op1 (e10) (e11))) = (e13)))))))\/((((op1 (e12) (e10)) = (op1 (e10) (e12)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e10)))/\((~((op1 (e11) (op1 (e10) (e12))) = (e11)))/\((~((op1 (e12) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e10) (e12))) = (e13)))))))\/((((op1 (e13) (e10)) = (op1 (e10) (e13)))/\((~((op1 (e10) (op1 (e10) (e13))) = (e10)))/\((~((op1 (e11) (op1 (e10) (e13))) = (e11)))/\((~((op1 (e12) (op1 (e10) (e13))) = (e12)))/\(~((op1 (e13) (op1 (e10) (e13))) = (e13)))))))\/((((op1 (e10) (e11)) = (op1 (e11) (e10)))/\((~((op1 (e10) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e10))) = (e11)))/\((~((op1 (e12) (op1 (e11) (e10))) = (e12)))/\(~((op1 (e13) (op1 (e11) (e10))) = (e13)))))))\/((((op1 (e11) (e11)) = (op1 (e11) (e11)))/\((~((op1 (e10) (op1 (e11) (e11))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e11) (e11))) = (e12)))/\(~((op1 (e13) (op1 (e11) (e11))) = (e13)))))))\/((((op1 (e12) (e11)) = (op1 (e11) (e12)))/\((~((op1 (e10) (op1 (e11) (e12))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e11)))/\((~((op1 (e12) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e11) (e12))) = (e13)))))))\/((((op1 (e13) (e11)) = (op1 (e11) (e13)))/\((~((op1 (e10) (op1 (e11) (e13))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e13))) = (e11)))/\((~((op1 (e12) (op1 (e11) (e13))) = (e12)))/\(~((op1 (e13) (op1 (e11) (e13))) = (e13)))))))\/((((op1 (e10) (e12)) = (op1 (e12) (e10)))/\((~((op1 (e10) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e12) (e10))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e10))) = (e12)))/\(~((op1 (e13) (op1 (e12) (e10))) = (e13)))))))\/((((op1 (e11) (e12)) = (op1 (e12) (e11)))/\((~((op1 (e10) (op1 (e12) (e11))) = (e10)))/\((~((op1 (e11) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e12)))/\(~((op1 (e13) (op1 (e12) (e11))) = (e13)))))))\/((((op1 (e12) (e12)) = (op1 (e12) (e12)))/\((~((op1 (e10) (op1 (e12) (e12))) = (e10)))/\((~((op1 (e11) (op1 (e12) (e12))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e12) (e12))) = (e13)))))))\/((((op1 (e13) (e12)) = (op1 (e12) (e13)))/\((~((op1 (e10) (op1 (e12) (e13))) = (e10)))/\((~((op1 (e11) (op1 (e12) (e13))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e13))) = (e12)))/\(~((op1 (e13) (op1 (e12) (e13))) = (e13)))))))\/((((op1 (e10) (e13)) = (op1 (e13) (e10)))/\((~((op1 (e10) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e13) (e10))) = (e11)))/\((~((op1 (e12) (op1 (e13) (e10))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e10))) = (e13)))))))\/((((op1 (e11) (e13)) = (op1 (e13) (e11)))/\((~((op1 (e10) (op1 (e13) (e11))) = (e10)))/\((~((op1 (e11) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e13) (e11))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e11))) = (e13)))))))\/((((op1 (e12) (e13)) = (op1 (e13) (e12)))/\((~((op1 (e10) (op1 (e13) (e12))) = (e10)))/\((~((op1 (e11) (op1 (e13) (e12))) = (e11)))/\((~((op1 (e12) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e12))) = (e13)))))))\/(((op1 (e13) (e13)) = (op1 (e13) (e13)))/\((~((op1 (e10) (op1 (e13) (e13))) = (e10)))/\((~((op1 (e11) (op1 (e13) (e13))) = (e11)))/\((~((op1 (e12) (op1 (e13) (e13))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13)))))))))))))))))))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((e10) = (e11))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((e11) = (e12))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((e11) = (e13))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> False).
% 83.65/83.82 do 0 intro. intros zenon_H3cd zenon_H37d zenon_H23d zenon_H236 zenon_H204 zenon_H1ad zenon_H19a zenon_H1a9 zenon_H1c9 zenon_H276 zenon_H365 zenon_H373 zenon_H1d8 zenon_H35d zenon_H1b9 zenon_H16 zenon_H1b0 zenon_H220 zenon_H1e8 zenon_H1cf zenon_H1a5 zenon_H2e3 zenon_H343 zenon_H1e4 zenon_H249 zenon_H1e zenon_H163 zenon_H1c8 zenon_H53 zenon_H45 zenon_H56 zenon_H25 zenon_H17 zenon_H49 zenon_H50 zenon_H4d zenon_H3a8 zenon_H1d4 zenon_H3b1 zenon_H187 zenon_H230 zenon_H357 zenon_H1a0 zenon_H3b3 zenon_H1f4 zenon_H1bf zenon_H2cd zenon_H256 zenon_H2e zenon_H345 zenon_H25a zenon_H3f zenon_H18e zenon_H1b6 zenon_H1ba zenon_H200 zenon_H229 zenon_H1ee zenon_H25d zenon_H252 zenon_H1f3 zenon_H14 zenon_H2c zenon_H3a.
% 83.65/83.82 apply (zenon_and_s _ _ zenon_H3cd). zenon_intro zenon_H3ac. zenon_intro zenon_H3ce.
% 83.65/83.82 apply (zenon_and_s _ _ zenon_H3ce). zenon_intro zenon_H3a3. zenon_intro zenon_H3cf.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H380 | zenon_intro zenon_H37f ].
% 83.65/83.82 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H1a. zenon_intro zenon_H381.
% 83.65/83.82 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H9e. zenon_intro zenon_H382.
% 83.65/83.82 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H384. zenon_intro zenon_H383.
% 83.65/83.82 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H1e0. zenon_intro zenon_H385.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H2d | zenon_intro zenon_H24a ].
% 83.65/83.82 apply (zenon_L7_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H34 | zenon_intro zenon_H24b ].
% 83.65/83.82 apply (zenon_L9_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H244 | zenon_intro zenon_H39 ].
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H357); [ zenon_intro zenon_H1ff | zenon_intro zenon_H358 ].
% 83.65/83.82 apply (zenon_L321_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H358); [ zenon_intro zenon_H181 | zenon_intro zenon_H359 ].
% 83.65/83.82 apply (zenon_L324_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H359); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H51 ].
% 83.65/83.82 apply (zenon_L325_); trivial.
% 83.65/83.82 apply (zenon_L17_); trivial.
% 83.65/83.82 apply (zenon_L10_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H23c | zenon_intro zenon_H386 ].
% 83.65/83.82 apply (zenon_L150_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H388 | zenon_intro zenon_H387 ].
% 83.65/83.82 apply (zenon_and_s _ _ zenon_H388). zenon_intro zenon_H245. zenon_intro zenon_H389.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H2d | zenon_intro zenon_H24a ].
% 83.65/83.82 apply (zenon_L7_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H34 | zenon_intro zenon_H24b ].
% 83.65/83.82 apply (zenon_L9_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H244 | zenon_intro zenon_H39 ].
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H357); [ zenon_intro zenon_H1ff | zenon_intro zenon_H358 ].
% 83.65/83.82 apply (zenon_L320_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H358); [ zenon_intro zenon_H181 | zenon_intro zenon_H359 ].
% 83.65/83.82 apply (zenon_L326_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H359); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H51 ].
% 83.65/83.82 apply (zenon_L325_); trivial.
% 83.65/83.82 apply (zenon_L17_); trivial.
% 83.65/83.82 apply (zenon_L10_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H38b | zenon_intro zenon_H38a ].
% 83.65/83.82 apply (zenon_and_s _ _ zenon_H38b). zenon_intro zenon_H253. zenon_intro zenon_H38c.
% 83.65/83.82 apply (zenon_and_s _ _ zenon_H38c). zenon_intro zenon_H3d1. zenon_intro zenon_H3d0.
% 83.65/83.82 apply (zenon_and_s _ _ zenon_H3d0). zenon_intro zenon_H24d. zenon_intro zenon_H3d2.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ].
% 83.65/83.82 apply (zenon_L11_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ].
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H2d | zenon_intro zenon_H24a ].
% 83.65/83.82 apply (zenon_L7_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H34 | zenon_intro zenon_H24b ].
% 83.65/83.82 apply (zenon_L9_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H244 | zenon_intro zenon_H39 ].
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H2d | zenon_intro zenon_H1f6 ].
% 83.65/83.82 apply (zenon_L7_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H162 | zenon_intro zenon_H1f7 ].
% 83.65/83.82 apply (zenon_L90_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H16c | zenon_intro zenon_H195 ].
% 83.65/83.82 apply (zenon_L335_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H43 | zenon_intro zenon_H1ca ].
% 83.65/83.82 apply (zenon_L20_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H177 | zenon_intro zenon_H1cb ].
% 83.65/83.82 apply (zenon_L332_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H181 | zenon_intro zenon_H197 ].
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H162 | zenon_intro zenon_H1fa ].
% 83.65/83.82 apply (zenon_L90_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H17e | zenon_intro zenon_H1fb ].
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1ce | zenon_intro zenon_H1e9 ].
% 83.65/83.82 apply (zenon_L116_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H17f | zenon_intro zenon_H1ea ].
% 83.65/83.82 apply (zenon_L97_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1e5 ].
% 83.65/83.82 apply (zenon_L337_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H17a | zenon_intro zenon_H1bb ].
% 83.65/83.82 apply (zenon_L95_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H17f | zenon_intro zenon_H1bc ].
% 83.65/83.82 apply (zenon_L97_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H182 | zenon_intro zenon_H198 ].
% 83.65/83.82 apply (zenon_L98_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H1aa | zenon_intro zenon_H25e ].
% 83.65/83.82 apply (zenon_L338_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H228 | zenon_intro zenon_H25f ].
% 83.65/83.82 apply (zenon_L147_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H25f); [ zenon_intro zenon_H1ab | zenon_intro zenon_H259 ].
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H194 | zenon_intro zenon_H1b1 ].
% 83.65/83.82 apply (zenon_L340_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H197 | zenon_intro zenon_H1b2 ].
% 83.65/83.82 apply (zenon_L103_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H19c | zenon_intro zenon_H54 ].
% 83.65/83.82 apply (zenon_L298_); trivial.
% 83.65/83.82 apply (zenon_L19_); trivial.
% 83.65/83.82 apply (zenon_L162_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H19f | zenon_intro zenon_H1eb ].
% 83.65/83.82 apply (zenon_L105_); trivial.
% 83.65/83.82 apply (zenon_L331_); trivial.
% 83.65/83.82 apply (zenon_L334_); trivial.
% 83.65/83.82 apply (zenon_L10_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ].
% 83.65/83.82 apply (zenon_L321_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H42 | zenon_intro zenon_H57 ].
% 83.65/83.82 apply (zenon_L343_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H57); [ zenon_intro zenon_H46 | zenon_intro zenon_H58 ].
% 83.65/83.82 apply (zenon_L15_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H51 | zenon_intro zenon_H54 ].
% 83.65/83.82 apply (zenon_L17_); trivial.
% 83.65/83.82 apply (zenon_L19_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H38e | zenon_intro zenon_H38d ].
% 83.65/83.82 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_H260. zenon_intro zenon_H38f.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ].
% 83.65/83.82 apply (zenon_L11_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ].
% 83.65/83.82 apply (zenon_L344_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ].
% 83.65/83.82 apply (zenon_L321_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H2d | zenon_intro zenon_H24a ].
% 83.65/83.82 apply (zenon_L7_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H34 | zenon_intro zenon_H24b ].
% 83.65/83.82 apply (zenon_L9_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H244 | zenon_intro zenon_H39 ].
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H2d | zenon_intro zenon_H1f6 ].
% 83.65/83.82 apply (zenon_L7_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H162 | zenon_intro zenon_H1f7 ].
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H34 | zenon_intro zenon_H1cc ].
% 83.65/83.82 apply (zenon_L9_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H17e | zenon_intro zenon_H1cd ].
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1ce | zenon_intro zenon_H1e9 ].
% 83.65/83.82 apply (zenon_L116_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H17f | zenon_intro zenon_H1ea ].
% 83.65/83.82 apply (zenon_L97_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1e5 ].
% 83.65/83.82 apply (zenon_L337_); trivial.
% 83.65/83.82 apply (zenon_L345_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H184 | zenon_intro zenon_H1c0 ].
% 83.65/83.82 apply (zenon_L318_); trivial.
% 83.65/83.82 apply (zenon_L346_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H16c | zenon_intro zenon_H195 ].
% 83.65/83.82 apply (zenon_L342_); trivial.
% 83.65/83.82 apply (zenon_L102_); trivial.
% 83.65/83.82 apply (zenon_L10_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H391 | zenon_intro zenon_H390 ].
% 83.65/83.82 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H22a. zenon_intro zenon_H392.
% 83.65/83.82 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H394. zenon_intro zenon_H393.
% 83.65/83.82 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H266. zenon_intro zenon_H395.
% 83.65/83.82 apply (zenon_and_s _ _ zenon_H395). zenon_intro zenon_H3b6. zenon_intro zenon_H3d3.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ].
% 83.65/83.82 apply (zenon_L11_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ].
% 83.65/83.82 apply (zenon_L347_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ].
% 83.65/83.82 apply (zenon_L321_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H2d | zenon_intro zenon_H24a ].
% 83.65/83.82 apply (zenon_L7_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H34 | zenon_intro zenon_H24b ].
% 83.65/83.82 apply (zenon_L9_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H244 | zenon_intro zenon_H39 ].
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H2d | zenon_intro zenon_H1f6 ].
% 83.65/83.82 apply (zenon_L7_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H162 | zenon_intro zenon_H1f7 ].
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1ce | zenon_intro zenon_H1e9 ].
% 83.65/83.82 apply (zenon_L116_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H17f | zenon_intro zenon_H1ea ].
% 83.65/83.82 apply (zenon_L350_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1e5 ].
% 83.65/83.82 apply (zenon_L337_); trivial.
% 83.65/83.82 apply (zenon_L345_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H16c | zenon_intro zenon_H195 ].
% 83.65/83.82 apply (zenon_L342_); trivial.
% 83.65/83.82 apply (zenon_L102_); trivial.
% 83.65/83.82 apply (zenon_L10_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H275 | zenon_intro zenon_H396 ].
% 83.65/83.82 apply (zenon_and_s _ _ zenon_H275). zenon_intro zenon_H270. zenon_intro zenon_H277.
% 83.65/83.82 apply (zenon_and_s _ _ zenon_H277). zenon_intro zenon_H26b. zenon_intro zenon_H278.
% 83.65/83.82 apply (zenon_and_s _ _ zenon_H278). zenon_intro zenon_H271. zenon_intro zenon_H279.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ].
% 83.65/83.82 apply (zenon_L11_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ].
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H2d | zenon_intro zenon_H24a ].
% 83.65/83.82 apply (zenon_L7_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H34 | zenon_intro zenon_H24b ].
% 83.65/83.82 apply (zenon_L9_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H244 | zenon_intro zenon_H39 ].
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H2d | zenon_intro zenon_H1f6 ].
% 83.65/83.82 apply (zenon_L7_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H162 | zenon_intro zenon_H1f7 ].
% 83.65/83.82 apply (zenon_L90_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H16c | zenon_intro zenon_H195 ].
% 83.65/83.82 apply (zenon_L335_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H43 | zenon_intro zenon_H1ca ].
% 83.65/83.82 apply (zenon_L20_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H177 | zenon_intro zenon_H1cb ].
% 83.65/83.82 apply (zenon_L332_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H181 | zenon_intro zenon_H197 ].
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H162 | zenon_intro zenon_H1fa ].
% 83.65/83.82 apply (zenon_L90_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H17e | zenon_intro zenon_H1fb ].
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1ce | zenon_intro zenon_H1e9 ].
% 83.65/83.82 apply (zenon_L116_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H17f | zenon_intro zenon_H1ea ].
% 83.65/83.82 apply (zenon_L97_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1e5 ].
% 83.65/83.82 apply (zenon_L337_); trivial.
% 83.65/83.82 apply (zenon_L351_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H19f | zenon_intro zenon_H1eb ].
% 83.65/83.82 apply (zenon_L105_); trivial.
% 83.65/83.82 apply (zenon_L331_); trivial.
% 83.65/83.82 apply (zenon_L334_); trivial.
% 83.65/83.82 apply (zenon_L10_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ].
% 83.65/83.82 apply (zenon_L321_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H2d | zenon_intro zenon_H24a ].
% 83.65/83.82 apply (zenon_L7_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H34 | zenon_intro zenon_H24b ].
% 83.65/83.82 apply (zenon_L9_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H244 | zenon_intro zenon_H39 ].
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H2d | zenon_intro zenon_H1f6 ].
% 83.65/83.82 apply (zenon_L7_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H162 | zenon_intro zenon_H1f7 ].
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H357); [ zenon_intro zenon_H1ff | zenon_intro zenon_H358 ].
% 83.65/83.82 apply (zenon_L321_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H358); [ zenon_intro zenon_H181 | zenon_intro zenon_H359 ].
% 83.65/83.82 apply (zenon_L355_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H359); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H51 ].
% 83.65/83.82 apply (zenon_L325_); trivial.
% 83.65/83.82 apply (zenon_L17_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H16c | zenon_intro zenon_H195 ].
% 83.65/83.82 apply (zenon_L342_); trivial.
% 83.65/83.82 apply (zenon_L102_); trivial.
% 83.65/83.82 apply (zenon_L10_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H281 | zenon_intro zenon_H397 ].
% 83.65/83.82 apply (zenon_and_s _ _ zenon_H281). zenon_intro zenon_H284. zenon_intro zenon_H283.
% 83.65/83.82 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H286. zenon_intro zenon_H285.
% 83.65/83.82 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H288. zenon_intro zenon_H287.
% 83.65/83.82 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_H27d. zenon_intro zenon_H289.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ].
% 83.65/83.82 apply (zenon_L11_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ].
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H2d | zenon_intro zenon_H24a ].
% 83.65/83.82 apply (zenon_L7_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H34 | zenon_intro zenon_H24b ].
% 83.65/83.82 apply (zenon_L9_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H244 | zenon_intro zenon_H39 ].
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H43 | zenon_intro zenon_H1ca ].
% 83.65/83.82 apply (zenon_L20_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H177 | zenon_intro zenon_H1cb ].
% 83.65/83.82 apply (zenon_L332_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H181 | zenon_intro zenon_H197 ].
% 83.65/83.82 apply (zenon_L357_); trivial.
% 83.65/83.82 apply (zenon_L334_); trivial.
% 83.65/83.82 apply (zenon_L10_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ].
% 83.65/83.82 apply (zenon_L321_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H2d | zenon_intro zenon_H24a ].
% 83.65/83.82 apply (zenon_L7_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H34 | zenon_intro zenon_H24b ].
% 83.65/83.82 apply (zenon_L9_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H244 | zenon_intro zenon_H39 ].
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H2d | zenon_intro zenon_H1f6 ].
% 83.65/83.82 apply (zenon_L7_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H162 | zenon_intro zenon_H1f7 ].
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_H161 | zenon_intro zenon_H27a ].
% 83.65/83.82 apply (zenon_L90_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H27a); [ zenon_intro zenon_H177 | zenon_intro zenon_H27b ].
% 83.65/83.82 apply (zenon_L360_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H27b); [ zenon_intro zenon_H19b | zenon_intro zenon_H46 ].
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H43 | zenon_intro zenon_H1ca ].
% 83.65/83.82 apply (zenon_L20_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H177 | zenon_intro zenon_H1cb ].
% 83.65/83.82 apply (zenon_L362_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H181 | zenon_intro zenon_H197 ].
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H34 | zenon_intro zenon_H1cc ].
% 83.65/83.82 apply (zenon_L9_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H17e | zenon_intro zenon_H1cd ].
% 83.65/83.82 apply (zenon_L356_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H184 | zenon_intro zenon_H1c0 ].
% 83.65/83.82 apply (zenon_L318_); trivial.
% 83.65/83.82 apply (zenon_L361_); trivial.
% 83.65/83.82 apply (zenon_L247_); trivial.
% 83.65/83.82 apply (zenon_L15_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H16c | zenon_intro zenon_H195 ].
% 83.65/83.82 apply (zenon_L342_); trivial.
% 83.65/83.82 apply (zenon_L102_); trivial.
% 83.65/83.82 apply (zenon_L10_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H294 | zenon_intro zenon_H398 ].
% 83.65/83.82 apply (zenon_and_s _ _ zenon_H294). zenon_intro zenon_H293. zenon_intro zenon_H295.
% 83.65/83.82 apply (zenon_and_s _ _ zenon_H295). zenon_intro zenon_H28f. zenon_intro zenon_H296.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ].
% 83.65/83.82 apply (zenon_L11_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ].
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H2d | zenon_intro zenon_H24a ].
% 83.65/83.82 apply (zenon_L7_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H34 | zenon_intro zenon_H24b ].
% 83.65/83.82 apply (zenon_L9_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H244 | zenon_intro zenon_H39 ].
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H43 | zenon_intro zenon_H1ca ].
% 83.65/83.82 apply (zenon_L20_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H177 | zenon_intro zenon_H1cb ].
% 83.65/83.82 apply (zenon_L332_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H181 | zenon_intro zenon_H197 ].
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H42 | zenon_intro zenon_H57 ].
% 83.65/83.82 apply (zenon_L363_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H57); [ zenon_intro zenon_H46 | zenon_intro zenon_H58 ].
% 83.65/83.82 apply (zenon_L15_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H51 | zenon_intro zenon_H54 ].
% 83.65/83.82 apply (zenon_L17_); trivial.
% 83.65/83.82 apply (zenon_L19_); trivial.
% 83.65/83.82 apply (zenon_L334_); trivial.
% 83.65/83.82 apply (zenon_L10_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ].
% 83.65/83.82 apply (zenon_L321_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H2d | zenon_intro zenon_H24a ].
% 83.65/83.82 apply (zenon_L7_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H34 | zenon_intro zenon_H24b ].
% 83.65/83.82 apply (zenon_L9_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H244 | zenon_intro zenon_H39 ].
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H2d | zenon_intro zenon_H1f6 ].
% 83.65/83.82 apply (zenon_L7_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H162 | zenon_intro zenon_H1f7 ].
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H1aa | zenon_intro zenon_H25e ].
% 83.65/83.82 apply (zenon_L177_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H228 | zenon_intro zenon_H25f ].
% 83.65/83.82 apply (zenon_L147_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H25f); [ zenon_intro zenon_H1ab | zenon_intro zenon_H259 ].
% 83.65/83.82 apply (zenon_L340_); trivial.
% 83.65/83.82 apply (zenon_L367_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H16c | zenon_intro zenon_H195 ].
% 83.65/83.82 apply (zenon_L342_); trivial.
% 83.65/83.82 apply (zenon_L102_); trivial.
% 83.65/83.82 apply (zenon_L10_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H399 ].
% 83.65/83.82 apply (zenon_and_s _ _ zenon_H2a4). zenon_intro zenon_H29d. zenon_intro zenon_H2a5.
% 83.65/83.82 apply (zenon_and_s _ _ zenon_H2a5). zenon_intro zenon_H2a7. zenon_intro zenon_H2a6.
% 83.65/83.82 apply (zenon_and_s _ _ zenon_H2a6). zenon_intro zenon_H299. zenon_intro zenon_H2a8.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ].
% 83.65/83.82 apply (zenon_L11_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ].
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H2d | zenon_intro zenon_H24a ].
% 83.65/83.82 apply (zenon_L7_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H34 | zenon_intro zenon_H24b ].
% 83.65/83.82 apply (zenon_L9_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H244 | zenon_intro zenon_H39 ].
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H43 | zenon_intro zenon_H1ca ].
% 83.65/83.82 apply (zenon_L20_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H177 | zenon_intro zenon_H1cb ].
% 83.65/83.82 apply (zenon_L332_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H181 | zenon_intro zenon_H197 ].
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H162 | zenon_intro zenon_H1fa ].
% 83.65/83.82 apply (zenon_L195_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H17e | zenon_intro zenon_H1fb ].
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1ce | zenon_intro zenon_H1e9 ].
% 83.65/83.82 apply (zenon_L116_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H17f | zenon_intro zenon_H1ea ].
% 83.65/83.82 apply (zenon_L97_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1e5 ].
% 83.65/83.82 apply (zenon_L336_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H17a | zenon_intro zenon_H1bb ].
% 83.65/83.82 apply (zenon_L95_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H17f | zenon_intro zenon_H1bc ].
% 83.65/83.82 apply (zenon_L97_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H182 | zenon_intro zenon_H198 ].
% 83.65/83.82 apply (zenon_L98_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H1aa | zenon_intro zenon_H25e ].
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H18d | zenon_intro zenon_H1b7 ].
% 83.65/83.82 apply (zenon_L101_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H182 | zenon_intro zenon_H1b8 ].
% 83.65/83.82 apply (zenon_L98_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1b4 ].
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H194 | zenon_intro zenon_H1b1 ].
% 83.65/83.82 apply (zenon_L369_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H197 | zenon_intro zenon_H1b2 ].
% 83.65/83.82 apply (zenon_L334_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H19c | zenon_intro zenon_H54 ].
% 83.65/83.82 apply (zenon_L108_); trivial.
% 83.65/83.82 apply (zenon_L19_); trivial.
% 83.65/83.82 apply (zenon_L122_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H228 | zenon_intro zenon_H25f ].
% 83.65/83.82 apply (zenon_L147_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H25f); [ zenon_intro zenon_H1ab | zenon_intro zenon_H259 ].
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H194 | zenon_intro zenon_H1b1 ].
% 83.65/83.82 apply (zenon_L340_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H197 | zenon_intro zenon_H1b2 ].
% 83.65/83.82 apply (zenon_L103_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H19c | zenon_intro zenon_H54 ].
% 83.65/83.82 apply (zenon_L196_); trivial.
% 83.65/83.82 apply (zenon_L19_); trivial.
% 83.65/83.82 apply (zenon_L162_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H19f | zenon_intro zenon_H1eb ].
% 83.65/83.82 apply (zenon_L105_); trivial.
% 83.65/83.82 apply (zenon_L331_); trivial.
% 83.65/83.82 apply (zenon_L334_); trivial.
% 83.65/83.82 apply (zenon_L10_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ].
% 83.65/83.82 apply (zenon_L321_); trivial.
% 83.65/83.82 apply (zenon_L369_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H39a ].
% 83.65/83.82 apply (zenon_and_s _ _ zenon_H2b2). zenon_intro zenon_H188. zenon_intro zenon_H2b3.
% 83.65/83.82 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_H2b5. zenon_intro zenon_H2b4.
% 83.65/83.82 apply (zenon_and_s _ _ zenon_H2b4). zenon_intro zenon_H2b7. zenon_intro zenon_H2b6.
% 83.65/83.82 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H2ac. zenon_intro zenon_H2b8.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H2d | zenon_intro zenon_H24a ].
% 83.65/83.82 apply (zenon_L7_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H34 | zenon_intro zenon_H24b ].
% 83.65/83.82 apply (zenon_L9_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H244 | zenon_intro zenon_H39 ].
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H357); [ zenon_intro zenon_H1ff | zenon_intro zenon_H358 ].
% 83.65/83.82 apply (zenon_L321_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H358); [ zenon_intro zenon_H181 | zenon_intro zenon_H359 ].
% 83.65/83.82 apply (zenon_L370_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H359); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H51 ].
% 83.65/83.82 apply (zenon_L325_); trivial.
% 83.65/83.82 apply (zenon_L17_); trivial.
% 83.65/83.82 apply (zenon_L10_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H39b ].
% 83.65/83.82 apply (zenon_and_s _ _ zenon_H2c2). zenon_intro zenon_H2bc. zenon_intro zenon_H2c3.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H2d | zenon_intro zenon_H24a ].
% 83.65/83.82 apply (zenon_L7_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H34 | zenon_intro zenon_H24b ].
% 83.65/83.82 apply (zenon_L9_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H244 | zenon_intro zenon_H39 ].
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H357); [ zenon_intro zenon_H1ff | zenon_intro zenon_H358 ].
% 83.65/83.82 apply (zenon_L320_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H358); [ zenon_intro zenon_H181 | zenon_intro zenon_H359 ].
% 83.65/83.82 apply (zenon_L371_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H359); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H51 ].
% 83.65/83.82 apply (zenon_L325_); trivial.
% 83.65/83.82 apply (zenon_L17_); trivial.
% 83.65/83.82 apply (zenon_L10_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H39c ].
% 83.65/83.82 apply (zenon_and_s _ _ zenon_H2c5). zenon_intro zenon_H2c4. zenon_intro zenon_H2c6.
% 83.65/83.82 apply (zenon_and_s _ _ zenon_H2c6). zenon_intro zenon_H3d5. zenon_intro zenon_H3d4.
% 83.65/83.82 apply (zenon_and_s _ _ zenon_H3d4). zenon_intro zenon_H3c2. zenon_intro zenon_H3d6.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ].
% 83.65/83.82 apply (zenon_L11_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ].
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H2d | zenon_intro zenon_H24a ].
% 83.65/83.82 apply (zenon_L7_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H34 | zenon_intro zenon_H24b ].
% 83.65/83.82 apply (zenon_L9_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H244 | zenon_intro zenon_H39 ].
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H43 | zenon_intro zenon_H1ca ].
% 83.65/83.82 apply (zenon_L20_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H177 | zenon_intro zenon_H1cb ].
% 83.65/83.82 apply (zenon_L332_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H181 | zenon_intro zenon_H197 ].
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H162 | zenon_intro zenon_H1fa ].
% 83.65/83.82 apply (zenon_L90_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H17e | zenon_intro zenon_H1fb ].
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1ce | zenon_intro zenon_H1e9 ].
% 83.65/83.82 apply (zenon_L116_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H17f | zenon_intro zenon_H1ea ].
% 83.65/83.82 apply (zenon_L97_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1e5 ].
% 83.65/83.82 apply (zenon_L337_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H17a | zenon_intro zenon_H1bb ].
% 83.65/83.82 apply (zenon_L95_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H17f | zenon_intro zenon_H1bc ].
% 83.65/83.82 apply (zenon_L97_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H182 | zenon_intro zenon_H198 ].
% 83.65/83.82 apply (zenon_L98_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H1aa | zenon_intro zenon_H25e ].
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H18d | zenon_intro zenon_H1b7 ].
% 83.65/83.82 apply (zenon_L101_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H182 | zenon_intro zenon_H1b8 ].
% 83.65/83.82 apply (zenon_L98_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1b4 ].
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H194 | zenon_intro zenon_H1b1 ].
% 83.65/83.82 apply (zenon_L373_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H197 | zenon_intro zenon_H1b2 ].
% 83.65/83.82 apply (zenon_L334_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H19c | zenon_intro zenon_H54 ].
% 83.65/83.82 apply (zenon_L108_); trivial.
% 83.65/83.82 apply (zenon_L19_); trivial.
% 83.65/83.82 apply (zenon_L122_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H228 | zenon_intro zenon_H25f ].
% 83.65/83.82 apply (zenon_L147_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H25f); [ zenon_intro zenon_H1ab | zenon_intro zenon_H259 ].
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H194 | zenon_intro zenon_H1b1 ].
% 83.65/83.82 apply (zenon_L340_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H197 | zenon_intro zenon_H1b2 ].
% 83.65/83.82 apply (zenon_L103_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H19c | zenon_intro zenon_H54 ].
% 83.65/83.82 apply (zenon_L208_); trivial.
% 83.65/83.82 apply (zenon_L19_); trivial.
% 83.65/83.82 apply (zenon_L162_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H19f | zenon_intro zenon_H1eb ].
% 83.65/83.82 apply (zenon_L105_); trivial.
% 83.65/83.82 apply (zenon_L331_); trivial.
% 83.65/83.82 apply (zenon_L334_); trivial.
% 83.65/83.82 apply (zenon_L10_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ].
% 83.65/83.82 apply (zenon_L321_); trivial.
% 83.65/83.82 apply (zenon_L373_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H2ce | zenon_intro zenon_H39d ].
% 83.65/83.82 apply (zenon_and_s _ _ zenon_H2ce). zenon_intro zenon_H2c7. zenon_intro zenon_H2cf.
% 83.65/83.82 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H2d1. zenon_intro zenon_H2d0.
% 83.65/83.82 apply (zenon_and_s _ _ zenon_H2d0). zenon_intro zenon_H2d3. zenon_intro zenon_H2d2.
% 83.65/83.82 apply (zenon_and_s _ _ zenon_H2d2). zenon_intro zenon_H2c9. zenon_intro zenon_H2d4.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ].
% 83.65/83.82 apply (zenon_L11_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ].
% 83.65/83.82 apply (zenon_L375_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ].
% 83.65/83.82 apply (zenon_L321_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H2d | zenon_intro zenon_H24a ].
% 83.65/83.82 apply (zenon_L7_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H34 | zenon_intro zenon_H24b ].
% 83.65/83.82 apply (zenon_L9_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H244 | zenon_intro zenon_H39 ].
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H2d | zenon_intro zenon_H1f6 ].
% 83.65/83.82 apply (zenon_L7_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H162 | zenon_intro zenon_H1f7 ].
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_H161 | zenon_intro zenon_H27a ].
% 83.65/83.82 apply (zenon_L90_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H27a); [ zenon_intro zenon_H177 | zenon_intro zenon_H27b ].
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H34 | zenon_intro zenon_H1cc ].
% 83.65/83.82 apply (zenon_L9_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H17e | zenon_intro zenon_H1cd ].
% 83.65/83.82 apply (zenon_L180_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H184 | zenon_intro zenon_H1c0 ].
% 83.65/83.82 apply (zenon_L318_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H1aa | zenon_intro zenon_H25e ].
% 83.65/83.82 apply (zenon_L177_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H228 | zenon_intro zenon_H25f ].
% 83.65/83.82 apply (zenon_L147_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H25f); [ zenon_intro zenon_H1ab | zenon_intro zenon_H259 ].
% 83.65/83.82 apply (zenon_L340_); trivial.
% 83.65/83.82 apply (zenon_L377_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H27b); [ zenon_intro zenon_H19b | zenon_intro zenon_H46 ].
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H43 | zenon_intro zenon_H1ca ].
% 83.65/83.82 apply (zenon_L20_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H177 | zenon_intro zenon_H1cb ].
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H34 | zenon_intro zenon_H1cc ].
% 83.65/83.82 apply (zenon_L9_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H17e | zenon_intro zenon_H1cd ].
% 83.65/83.82 apply (zenon_L180_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H184 | zenon_intro zenon_H1c0 ].
% 83.65/83.82 apply (zenon_L318_); trivial.
% 83.65/83.82 apply (zenon_L378_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H181 | zenon_intro zenon_H197 ].
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H34 | zenon_intro zenon_H1cc ].
% 83.65/83.82 apply (zenon_L9_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H17e | zenon_intro zenon_H1cd ].
% 83.65/83.82 apply (zenon_L374_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H184 | zenon_intro zenon_H1c0 ].
% 83.65/83.82 apply (zenon_L318_); trivial.
% 83.65/83.82 apply (zenon_L378_); trivial.
% 83.65/83.82 apply (zenon_L247_); trivial.
% 83.65/83.82 apply (zenon_L15_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H16c | zenon_intro zenon_H195 ].
% 83.65/83.82 apply (zenon_L342_); trivial.
% 83.65/83.82 apply (zenon_L102_); trivial.
% 83.65/83.82 apply (zenon_L10_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2e6 ].
% 83.65/83.82 apply (zenon_and_s _ _ zenon_H2d7). zenon_intro zenon_H2d5. zenon_intro zenon_H2d8.
% 83.65/83.82 apply (zenon_and_s _ _ zenon_H2d8). zenon_intro zenon_H36f. zenon_intro zenon_H39e.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ].
% 83.65/83.82 apply (zenon_L11_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ].
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H2d | zenon_intro zenon_H24a ].
% 83.65/83.82 apply (zenon_L7_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H34 | zenon_intro zenon_H24b ].
% 83.65/83.82 apply (zenon_L9_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H244 | zenon_intro zenon_H39 ].
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H2d | zenon_intro zenon_H1f6 ].
% 83.65/83.82 apply (zenon_L7_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H162 | zenon_intro zenon_H1f7 ].
% 83.65/83.82 apply (zenon_L90_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H16c | zenon_intro zenon_H195 ].
% 83.65/83.82 apply (zenon_L335_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H43 | zenon_intro zenon_H1ca ].
% 83.65/83.82 apply (zenon_L20_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H177 | zenon_intro zenon_H1cb ].
% 83.65/83.82 apply (zenon_L332_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H181 | zenon_intro zenon_H197 ].
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H162 | zenon_intro zenon_H1fa ].
% 83.65/83.82 apply (zenon_L90_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H17e | zenon_intro zenon_H1fb ].
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H17a | zenon_intro zenon_H1bb ].
% 83.65/83.82 apply (zenon_L95_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H17f | zenon_intro zenon_H1bc ].
% 83.65/83.82 apply (zenon_L97_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H182 | zenon_intro zenon_H198 ].
% 83.65/83.82 apply (zenon_L98_); trivial.
% 83.65/83.82 apply (zenon_L380_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H19f | zenon_intro zenon_H1eb ].
% 83.65/83.82 apply (zenon_L105_); trivial.
% 83.65/83.82 apply (zenon_L331_); trivial.
% 83.65/83.82 apply (zenon_L334_); trivial.
% 83.65/83.82 apply (zenon_L10_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ].
% 83.65/83.82 apply (zenon_L321_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H2d | zenon_intro zenon_H24a ].
% 83.65/83.82 apply (zenon_L7_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H34 | zenon_intro zenon_H24b ].
% 83.65/83.82 apply (zenon_L9_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H244 | zenon_intro zenon_H39 ].
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H2d | zenon_intro zenon_H1f6 ].
% 83.65/83.82 apply (zenon_L7_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H162 | zenon_intro zenon_H1f7 ].
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H357); [ zenon_intro zenon_H1ff | zenon_intro zenon_H358 ].
% 83.65/83.82 apply (zenon_L321_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H358); [ zenon_intro zenon_H181 | zenon_intro zenon_H359 ].
% 83.65/83.82 apply (zenon_L384_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H359); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H51 ].
% 83.65/83.82 apply (zenon_L325_); trivial.
% 83.65/83.82 apply (zenon_L17_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H16c | zenon_intro zenon_H195 ].
% 83.65/83.82 apply (zenon_L342_); trivial.
% 83.65/83.82 apply (zenon_L102_); trivial.
% 83.65/83.82 apply (zenon_L10_); trivial.
% 83.65/83.82 apply (zenon_and_s _ _ zenon_H2e6). zenon_intro zenon_H2e9. zenon_intro zenon_H2e8.
% 83.65/83.82 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H2df. zenon_intro zenon_H2ea.
% 83.65/83.82 apply (zenon_and_s _ _ zenon_H2ea). zenon_intro zenon_H3a0. zenon_intro zenon_H39f.
% 83.65/83.82 apply (zenon_and_s _ _ zenon_H39f). zenon_intro zenon_H378. zenon_intro zenon_H3a1.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ].
% 83.65/83.82 apply (zenon_L11_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ].
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H2d | zenon_intro zenon_H24a ].
% 83.65/83.82 apply (zenon_L7_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H34 | zenon_intro zenon_H24b ].
% 83.65/83.82 apply (zenon_L9_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H244 | zenon_intro zenon_H39 ].
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H162 | zenon_intro zenon_H1fa ].
% 83.65/83.82 apply (zenon_L90_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H17e | zenon_intro zenon_H1fb ].
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H42 | zenon_intro zenon_H57 ].
% 83.65/83.82 apply (zenon_L388_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H57); [ zenon_intro zenon_H46 | zenon_intro zenon_H58 ].
% 83.65/83.82 apply (zenon_L15_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H51 | zenon_intro zenon_H54 ].
% 83.65/83.82 apply (zenon_L17_); trivial.
% 83.65/83.82 apply (zenon_L19_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H19f | zenon_intro zenon_H1eb ].
% 83.65/83.82 apply (zenon_L105_); trivial.
% 83.65/83.82 apply (zenon_L331_); trivial.
% 83.65/83.82 apply (zenon_L10_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ].
% 83.65/83.82 apply (zenon_L321_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H2d | zenon_intro zenon_H24a ].
% 83.65/83.82 apply (zenon_L7_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H34 | zenon_intro zenon_H24b ].
% 83.65/83.82 apply (zenon_L9_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H244 | zenon_intro zenon_H39 ].
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H2d | zenon_intro zenon_H1f6 ].
% 83.65/83.82 apply (zenon_L7_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H162 | zenon_intro zenon_H1f7 ].
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H357); [ zenon_intro zenon_H1ff | zenon_intro zenon_H358 ].
% 83.65/83.82 apply (zenon_L320_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H358); [ zenon_intro zenon_H181 | zenon_intro zenon_H359 ].
% 83.65/83.82 apply (zenon_L394_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H359); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H51 ].
% 83.65/83.82 apply (zenon_L325_); trivial.
% 83.65/83.82 apply (zenon_L17_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H16c | zenon_intro zenon_H195 ].
% 83.65/83.82 apply (zenon_L342_); trivial.
% 83.65/83.82 apply (zenon_L102_); trivial.
% 83.65/83.82 apply (zenon_L10_); trivial.
% 83.65/83.82 (* end of lemma zenon_L395_ *)
% 83.65/83.82 assert (zenon_L396_ : ((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(((op1 (op1 (e12) (e12)) (e12)) = (e12))/\(~((op1 (op1 (e12) (e12)) (e12)) = (e12))))) -> False).
% 83.65/83.82 do 0 intro. intros zenon_H3d7.
% 83.65/83.82 apply (zenon_and_s _ _ zenon_H3d7). zenon_intro zenon_H2ac. zenon_intro zenon_H3d8.
% 83.65/83.82 apply (zenon_and_s _ _ zenon_H3d8). zenon_intro zenon_H3da. zenon_intro zenon_H3d9.
% 83.65/83.82 exact (zenon_H3d9 zenon_H3da).
% 83.65/83.82 (* end of lemma zenon_L396_ *)
% 83.65/83.82 assert (zenon_L397_ : (~((op1 (e11) (e12)) = (op1 (op1 (e12) (e13)) (e12)))) -> ((op1 (e12) (e13)) = (e11)) -> False).
% 83.65/83.82 do 0 intro. intros zenon_H3db zenon_H1b3.
% 83.65/83.82 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2b].
% 83.65/83.82 cut (((e11) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H3b2].
% 83.65/83.82 congruence.
% 83.65/83.82 apply zenon_H3b2. apply sym_equal. exact zenon_H1b3.
% 83.65/83.82 apply zenon_H2b. apply refl_equal.
% 83.65/83.82 (* end of lemma zenon_L397_ *)
% 83.65/83.82 assert (zenon_L398_ : (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (op1 (e12) (e13)) (e12)) = (e13)) -> ((op1 (e12) (e13)) = (e11)) -> ((op1 (e11) (e13)) = (e13)) -> False).
% 83.65/83.82 do 0 intro. intros zenon_H3b1 zenon_H3dc zenon_H1b3 zenon_H259.
% 83.65/83.82 cut (((op1 (op1 (e12) (e13)) (e12)) = (e13)) = ((op1 (e11) (e12)) = (op1 (e11) (e13)))).
% 83.65/83.82 intro zenon_D_pnotp.
% 83.65/83.82 apply zenon_H3b1.
% 83.65/83.82 rewrite <- zenon_D_pnotp.
% 83.65/83.82 exact zenon_H3dc.
% 83.65/83.82 cut (((e13) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H33e].
% 83.65/83.82 cut (((op1 (op1 (e12) (e13)) (e12)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H3dd].
% 83.65/83.82 congruence.
% 83.65/83.82 elim (classic ((op1 (e11) (e12)) = (op1 (e11) (e12)))); [ zenon_intro zenon_H1a1 | zenon_intro zenon_H19e ].
% 83.65/83.82 cut (((op1 (e11) (e12)) = (op1 (e11) (e12))) = ((op1 (op1 (e12) (e13)) (e12)) = (op1 (e11) (e12)))).
% 83.65/83.82 intro zenon_D_pnotp.
% 83.65/83.82 apply zenon_H3dd.
% 83.65/83.82 rewrite <- zenon_D_pnotp.
% 83.65/83.82 exact zenon_H1a1.
% 83.65/83.82 cut (((op1 (e11) (e12)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H19e].
% 83.65/83.82 cut (((op1 (e11) (e12)) = (op1 (op1 (e12) (e13)) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H3db].
% 83.65/83.82 congruence.
% 83.65/83.82 apply (zenon_L397_); trivial.
% 83.65/83.82 apply zenon_H19e. apply refl_equal.
% 83.65/83.82 apply zenon_H19e. apply refl_equal.
% 83.65/83.82 apply zenon_H33e. apply sym_equal. exact zenon_H259.
% 83.65/83.82 (* end of lemma zenon_L398_ *)
% 83.65/83.82 assert (zenon_L399_ : (~((op1 (e12) (op1 (e12) (e13))) = (e13))) -> ((op1 (op1 (e12) (e13)) (e12)) = (e13)) -> ((op1 (e12) (e13)) = (e12)) -> False).
% 83.65/83.82 do 0 intro. intros zenon_H3de zenon_H3dc zenon_H1b4.
% 83.65/83.82 cut (((op1 (op1 (e12) (e13)) (e12)) = (e13)) = ((op1 (e12) (op1 (e12) (e13))) = (e13))).
% 83.65/83.82 intro zenon_D_pnotp.
% 83.65/83.82 apply zenon_H3de.
% 83.65/83.82 rewrite <- zenon_D_pnotp.
% 83.65/83.82 exact zenon_H3dc.
% 83.65/83.82 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H1f0].
% 83.65/83.82 cut (((op1 (op1 (e12) (e13)) (e12)) = (op1 (e12) (op1 (e12) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3df].
% 83.65/83.82 congruence.
% 83.65/83.82 elim (classic ((op1 (e12) (op1 (e12) (e13))) = (op1 (e12) (op1 (e12) (e13))))); [ zenon_intro zenon_H3e0 | zenon_intro zenon_H3e1 ].
% 83.65/83.82 cut (((op1 (e12) (op1 (e12) (e13))) = (op1 (e12) (op1 (e12) (e13)))) = ((op1 (op1 (e12) (e13)) (e12)) = (op1 (e12) (op1 (e12) (e13))))).
% 83.65/83.82 intro zenon_D_pnotp.
% 83.65/83.82 apply zenon_H3df.
% 83.65/83.82 rewrite <- zenon_D_pnotp.
% 83.65/83.82 exact zenon_H3e0.
% 83.65/83.82 cut (((op1 (e12) (op1 (e12) (e13))) = (op1 (e12) (op1 (e12) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3e1].
% 83.65/83.82 cut (((op1 (e12) (op1 (e12) (e13))) = (op1 (op1 (e12) (e13)) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H3e2].
% 83.65/83.82 congruence.
% 83.65/83.82 cut (((op1 (e12) (e13)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H1b5].
% 83.65/83.82 cut (((e12) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H1e6].
% 83.65/83.82 congruence.
% 83.65/83.82 apply zenon_H1e6. apply sym_equal. exact zenon_H1b4.
% 83.65/83.82 exact (zenon_H1b5 zenon_H1b4).
% 83.65/83.82 apply zenon_H3e1. apply refl_equal.
% 83.65/83.82 apply zenon_H3e1. apply refl_equal.
% 83.65/83.82 apply zenon_H1f0. apply refl_equal.
% 83.65/83.82 (* end of lemma zenon_L399_ *)
% 83.65/83.82 assert (zenon_L400_ : (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (op1 (e12) (e13)) (e12)) = (e13)) -> (~((op1 (e12) (op1 (e12) (e13))) = (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e13)) = (e13)) -> False).
% 83.65/83.82 do 0 intro. intros zenon_H3e3 zenon_H42 zenon_H50 zenon_H3b1 zenon_H3dc zenon_H3de zenon_H1e4 zenon_H259.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H3e3); [ zenon_intro zenon_H51 | zenon_intro zenon_H3e4 ].
% 83.65/83.82 apply (zenon_L16_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H3e4); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H3e5 ].
% 83.65/83.82 apply (zenon_L398_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H3e5); [ zenon_intro zenon_H1b4 | zenon_intro zenon_H363 ].
% 83.65/83.82 apply (zenon_L399_); trivial.
% 83.65/83.82 apply (zenon_L294_); trivial.
% 83.65/83.82 (* end of lemma zenon_L400_ *)
% 83.65/83.82 assert (zenon_L401_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e11) (e13)) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (op1 (e12) (e13))) = (e13))) -> ((op1 (op1 (e12) (e13)) (e12)) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 83.65/83.82 do 0 intro. intros zenon_H56 zenon_H259 zenon_H1e4 zenon_H3de zenon_H3dc zenon_H3b1 zenon_H3e3 zenon_H45 zenon_H50 zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H2c zenon_H17 zenon_H14 zenon_H25.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H42 | zenon_intro zenon_H57 ].
% 83.65/83.82 apply (zenon_L400_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H57); [ zenon_intro zenon_H46 | zenon_intro zenon_H58 ].
% 83.65/83.82 apply (zenon_L15_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H51 | zenon_intro zenon_H54 ].
% 83.65/83.82 apply (zenon_L17_); trivial.
% 83.65/83.82 apply (zenon_L19_); trivial.
% 83.65/83.82 (* end of lemma zenon_L401_ *)
% 83.65/83.82 assert (zenon_L402_ : (~((op1 (e13) (e12)) = (op1 (op1 (e12) (e13)) (e12)))) -> ((op1 (e12) (e13)) = (e13)) -> False).
% 83.65/83.82 do 0 intro. intros zenon_H3e6 zenon_H363.
% 83.65/83.82 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2b].
% 83.65/83.82 cut (((e13) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H364].
% 83.65/83.82 congruence.
% 83.65/83.82 apply zenon_H364. apply sym_equal. exact zenon_H363.
% 83.65/83.82 apply zenon_H2b. apply refl_equal.
% 83.65/83.82 (* end of lemma zenon_L402_ *)
% 83.65/83.82 assert (zenon_L403_ : ((op1 (op1 (e12) (e13)) (e12)) = (e13)) -> ((op1 (e12) (e13)) = (e13)) -> ((op1 (e11) (e12)) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> False).
% 83.65/83.82 do 0 intro. intros zenon_H3dc zenon_H363 zenon_H1ab zenon_H19a.
% 83.65/83.82 elim (classic ((op1 (e13) (e12)) = (op1 (e13) (e12)))); [ zenon_intro zenon_H205 | zenon_intro zenon_H206 ].
% 83.65/83.82 cut (((op1 (e13) (e12)) = (op1 (e13) (e12))) = ((op1 (e11) (e12)) = (op1 (e13) (e12)))).
% 83.65/83.82 intro zenon_D_pnotp.
% 83.65/83.82 apply zenon_H19a.
% 83.65/83.82 rewrite <- zenon_D_pnotp.
% 83.65/83.82 exact zenon_H205.
% 83.65/83.82 cut (((op1 (e13) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H206].
% 83.65/83.82 cut (((op1 (e13) (e12)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H35b].
% 83.65/83.82 congruence.
% 83.65/83.82 cut (((op1 (op1 (e12) (e13)) (e12)) = (e13)) = ((op1 (e13) (e12)) = (op1 (e11) (e12)))).
% 83.65/83.82 intro zenon_D_pnotp.
% 83.65/83.82 apply zenon_H35b.
% 83.65/83.82 rewrite <- zenon_D_pnotp.
% 83.65/83.82 exact zenon_H3dc.
% 83.65/83.82 cut (((e13) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1ac].
% 83.65/83.82 cut (((op1 (op1 (e12) (e13)) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H3e7].
% 83.65/83.82 congruence.
% 83.65/83.82 elim (classic ((op1 (e13) (e12)) = (op1 (e13) (e12)))); [ zenon_intro zenon_H205 | zenon_intro zenon_H206 ].
% 83.65/83.82 cut (((op1 (e13) (e12)) = (op1 (e13) (e12))) = ((op1 (op1 (e12) (e13)) (e12)) = (op1 (e13) (e12)))).
% 83.65/83.82 intro zenon_D_pnotp.
% 83.65/83.82 apply zenon_H3e7.
% 83.65/83.82 rewrite <- zenon_D_pnotp.
% 83.65/83.82 exact zenon_H205.
% 83.65/83.82 cut (((op1 (e13) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H206].
% 83.65/83.82 cut (((op1 (e13) (e12)) = (op1 (op1 (e12) (e13)) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H3e6].
% 83.65/83.82 congruence.
% 83.65/83.82 apply (zenon_L402_); trivial.
% 83.65/83.82 apply zenon_H206. apply refl_equal.
% 83.65/83.82 apply zenon_H206. apply refl_equal.
% 83.65/83.82 apply zenon_H1ac. apply sym_equal. exact zenon_H1ab.
% 83.65/83.82 apply zenon_H206. apply refl_equal.
% 83.65/83.82 apply zenon_H206. apply refl_equal.
% 83.65/83.82 (* end of lemma zenon_L403_ *)
% 83.65/83.82 assert (zenon_L404_ : (~((op1 (op1 (e12) (e13)) (e13)) = (e12))) -> ((op1 (e11) (e13)) = (e12)) -> ((op1 (e12) (e13)) = (e11)) -> False).
% 83.65/83.82 do 0 intro. intros zenon_H3e8 zenon_H1e5 zenon_H1b3.
% 83.65/83.82 cut (((op1 (e11) (e13)) = (e12)) = ((op1 (op1 (e12) (e13)) (e13)) = (e12))).
% 83.65/83.82 intro zenon_D_pnotp.
% 83.65/83.82 apply zenon_H3e8.
% 83.65/83.82 rewrite <- zenon_D_pnotp.
% 83.65/83.82 exact zenon_H1e5.
% 83.65/83.82 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2b].
% 83.65/83.82 cut (((op1 (e11) (e13)) = (op1 (op1 (e12) (e13)) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H3e9].
% 83.65/83.82 congruence.
% 83.65/83.82 elim (classic ((op1 (op1 (e12) (e13)) (e13)) = (op1 (op1 (e12) (e13)) (e13)))); [ zenon_intro zenon_H3ea | zenon_intro zenon_H3eb ].
% 83.65/83.82 cut (((op1 (op1 (e12) (e13)) (e13)) = (op1 (op1 (e12) (e13)) (e13))) = ((op1 (e11) (e13)) = (op1 (op1 (e12) (e13)) (e13)))).
% 83.65/83.82 intro zenon_D_pnotp.
% 83.65/83.82 apply zenon_H3e9.
% 83.65/83.82 rewrite <- zenon_D_pnotp.
% 83.65/83.82 exact zenon_H3ea.
% 83.65/83.82 cut (((op1 (op1 (e12) (e13)) (e13)) = (op1 (op1 (e12) (e13)) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H3eb].
% 83.65/83.82 cut (((op1 (op1 (e12) (e13)) (e13)) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H3ec].
% 83.65/83.82 congruence.
% 83.65/83.82 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H1f0].
% 83.65/83.82 cut (((op1 (e12) (e13)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H3ed].
% 83.65/83.82 congruence.
% 83.65/83.82 exact (zenon_H3ed zenon_H1b3).
% 83.65/83.82 apply zenon_H1f0. apply refl_equal.
% 83.65/83.82 apply zenon_H3eb. apply refl_equal.
% 83.65/83.82 apply zenon_H3eb. apply refl_equal.
% 83.65/83.82 apply zenon_H2b. apply refl_equal.
% 83.65/83.82 (* end of lemma zenon_L404_ *)
% 83.65/83.82 assert (zenon_L405_ : (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e12) (e13)) (e12)) = (e13)) -> ((op1 (e12) (e13)) = (e13)) -> ((op1 (e13) (e13)) = (e13)) -> False).
% 83.65/83.82 do 0 intro. intros zenon_H3ee zenon_H3dc zenon_H363 zenon_H2dd.
% 83.65/83.82 cut (((op1 (op1 (e12) (e13)) (e12)) = (e13)) = ((op1 (e13) (e12)) = (op1 (e13) (e13)))).
% 83.65/83.82 intro zenon_D_pnotp.
% 83.65/83.82 apply zenon_H3ee.
% 83.65/83.82 rewrite <- zenon_D_pnotp.
% 83.65/83.82 exact zenon_H3dc.
% 83.65/83.82 cut (((e13) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H3ef].
% 83.65/83.82 cut (((op1 (op1 (e12) (e13)) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H3e7].
% 83.65/83.82 congruence.
% 83.65/83.82 elim (classic ((op1 (e13) (e12)) = (op1 (e13) (e12)))); [ zenon_intro zenon_H205 | zenon_intro zenon_H206 ].
% 83.65/83.82 cut (((op1 (e13) (e12)) = (op1 (e13) (e12))) = ((op1 (op1 (e12) (e13)) (e12)) = (op1 (e13) (e12)))).
% 83.65/83.82 intro zenon_D_pnotp.
% 83.65/83.82 apply zenon_H3e7.
% 83.65/83.82 rewrite <- zenon_D_pnotp.
% 83.65/83.82 exact zenon_H205.
% 83.65/83.82 cut (((op1 (e13) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H206].
% 83.65/83.82 cut (((op1 (e13) (e12)) = (op1 (op1 (e12) (e13)) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H3e6].
% 83.65/83.82 congruence.
% 83.65/83.82 apply (zenon_L402_); trivial.
% 83.65/83.82 apply zenon_H206. apply refl_equal.
% 83.65/83.82 apply zenon_H206. apply refl_equal.
% 83.65/83.82 apply zenon_H3ef. apply sym_equal. exact zenon_H2dd.
% 83.65/83.82 (* end of lemma zenon_L405_ *)
% 83.65/83.82 assert (zenon_L406_ : (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e13)) = (e12)) -> (~((op1 (op1 (e12) (e13)) (e13)) = (e12))) -> (~((op1 (e12) (op1 (e12) (e13))) = (e13))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e12) (e13)) (e12)) = (e13)) -> ((op1 (e13) (e13)) = (e13)) -> False).
% 83.65/83.82 do 0 intro. intros zenon_H3e3 zenon_H42 zenon_H50 zenon_H1e5 zenon_H3e8 zenon_H3de zenon_H3ee zenon_H3dc zenon_H2dd.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H3e3); [ zenon_intro zenon_H51 | zenon_intro zenon_H3e4 ].
% 83.65/83.82 apply (zenon_L16_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H3e4); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H3e5 ].
% 83.65/83.82 apply (zenon_L404_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H3e5); [ zenon_intro zenon_H1b4 | zenon_intro zenon_H363 ].
% 83.65/83.82 apply (zenon_L399_); trivial.
% 83.65/83.82 apply (zenon_L405_); trivial.
% 83.65/83.82 (* end of lemma zenon_L406_ *)
% 83.65/83.82 assert (zenon_L407_ : (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((e11) = (e13))) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (op1 (e12) (e13)) (e12)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (op1 (e12) (e13))) = (e13))) -> (~((op1 (op1 (e12) (e13)) (e13)) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e10)) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((op1 (e11) (e13)) = (e12)) -> (~((e12) = (e13))) -> False).
% 83.65/83.82 do 0 intro. intros zenon_H25d zenon_H1ee zenon_H162 zenon_H229 zenon_H3dc zenon_H3ee zenon_H3de zenon_H3e8 zenon_H50 zenon_H42 zenon_H3e3 zenon_H19a zenon_H56 zenon_H1e4 zenon_H3b1 zenon_H45 zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H2c zenon_H17 zenon_H14 zenon_H25 zenon_H3f0 zenon_H1e5 zenon_H25a.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H1aa | zenon_intro zenon_H25e ].
% 83.65/83.82 apply (zenon_L177_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H228 | zenon_intro zenon_H25f ].
% 83.65/83.82 apply (zenon_L147_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H25f); [ zenon_intro zenon_H1ab | zenon_intro zenon_H259 ].
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H3f0); [ zenon_intro zenon_H24 | zenon_intro zenon_H3f1 ].
% 83.65/83.82 apply (zenon_L5_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H3f1); [ zenon_intro zenon_H259 | zenon_intro zenon_H3f2 ].
% 83.65/83.82 apply (zenon_L401_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H3f2); [ zenon_intro zenon_H363 | zenon_intro zenon_H2dd ].
% 83.65/83.82 apply (zenon_L403_); trivial.
% 83.65/83.82 apply (zenon_L406_); trivial.
% 83.65/83.82 apply (zenon_L162_); trivial.
% 83.65/83.82 (* end of lemma zenon_L407_ *)
% 83.65/83.82 assert (zenon_L408_ : (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e10)) = (e11)) -> ((op1 (e11) (e13)) = (e11)) -> False).
% 83.65/83.82 do 0 intro. intros zenon_H2f3 zenon_H162 zenon_H1eb.
% 83.65/83.82 cut (((op1 (e11) (e10)) = (e11)) = ((op1 (e11) (e10)) = (op1 (e11) (e13)))).
% 83.65/83.82 intro zenon_D_pnotp.
% 83.65/83.82 apply zenon_H2f3.
% 83.65/83.82 rewrite <- zenon_D_pnotp.
% 83.65/83.82 exact zenon_H162.
% 83.65/83.82 cut (((e11) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H33c].
% 83.65/83.82 cut (((op1 (e11) (e10)) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H179].
% 83.65/83.82 congruence.
% 83.65/83.82 apply zenon_H179. apply refl_equal.
% 83.65/83.82 apply zenon_H33c. apply sym_equal. exact zenon_H1eb.
% 83.65/83.82 (* end of lemma zenon_L408_ *)
% 83.65/83.82 assert (zenon_L409_ : (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e13)) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (op1 (e12) (e13))) = (e13))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e12) (e13)) (e12)) = (e13)) -> ((op1 (e13) (e13)) = (e13)) -> False).
% 83.65/83.82 do 0 intro. intros zenon_H3e3 zenon_H42 zenon_H50 zenon_H259 zenon_H3b1 zenon_H3de zenon_H3ee zenon_H3dc zenon_H2dd.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H3e3); [ zenon_intro zenon_H51 | zenon_intro zenon_H3e4 ].
% 83.65/83.82 apply (zenon_L16_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H3e4); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H3e5 ].
% 83.65/83.82 apply (zenon_L398_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H3e5); [ zenon_intro zenon_H1b4 | zenon_intro zenon_H363 ].
% 83.65/83.82 apply (zenon_L399_); trivial.
% 83.65/83.82 apply (zenon_L405_); trivial.
% 83.65/83.82 (* end of lemma zenon_L409_ *)
% 83.65/83.82 assert (zenon_L410_ : (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> ((op1 (e13) (e13)) = (e12)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (op1 (e12) (e13))) = (e13))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e12) (e13)) (e12)) = (e13)) -> ((op1 (e13) (e13)) = (e13)) -> False).
% 83.65/83.82 do 0 intro. intros zenon_H340 zenon_H25 zenon_H14 zenon_H17 zenon_H2c zenon_H49 zenon_H3a zenon_H45 zenon_H4d zenon_H162 zenon_H2f3 zenon_H2da zenon_H343 zenon_H3e3 zenon_H42 zenon_H50 zenon_H3b1 zenon_H3de zenon_H3ee zenon_H3dc zenon_H2dd.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H340); [ zenon_intro zenon_H46 | zenon_intro zenon_H341 ].
% 83.65/83.82 apply (zenon_L15_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H341); [ zenon_intro zenon_H1eb | zenon_intro zenon_H342 ].
% 83.65/83.82 apply (zenon_L408_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H342); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H259 ].
% 83.65/83.82 apply (zenon_L265_); trivial.
% 83.65/83.82 apply (zenon_L409_); trivial.
% 83.65/83.82 (* end of lemma zenon_L410_ *)
% 83.65/83.82 assert (zenon_L411_ : (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e12)) = (e13)) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> ((op1 (e13) (e13)) = (e12)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (op1 (e12) (e13))) = (e13))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e12) (e13)) (e12)) = (e13)) -> False).
% 83.65/83.82 do 0 intro. intros zenon_H3f0 zenon_H53 zenon_H1e4 zenon_H56 zenon_H19a zenon_H1ab zenon_H340 zenon_H25 zenon_H14 zenon_H17 zenon_H2c zenon_H49 zenon_H3a zenon_H45 zenon_H4d zenon_H162 zenon_H2f3 zenon_H2da zenon_H343 zenon_H3e3 zenon_H42 zenon_H50 zenon_H3b1 zenon_H3de zenon_H3ee zenon_H3dc.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H3f0); [ zenon_intro zenon_H24 | zenon_intro zenon_H3f1 ].
% 83.65/83.82 apply (zenon_L5_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H3f1); [ zenon_intro zenon_H259 | zenon_intro zenon_H3f2 ].
% 83.65/83.82 apply (zenon_L401_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H3f2); [ zenon_intro zenon_H363 | zenon_intro zenon_H2dd ].
% 83.65/83.82 apply (zenon_L403_); trivial.
% 83.65/83.82 apply (zenon_L410_); trivial.
% 83.65/83.82 (* end of lemma zenon_L411_ *)
% 83.65/83.82 assert (zenon_L412_ : (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (op1 (e12) (e13)) (e13)) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((e11) = (e13))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e12)) = (e13)) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (op1 (e12) (e13))) = (e13))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e12) (e13)) (e12)) = (e13)) -> False).
% 83.65/83.82 do 0 intro. intros zenon_H345 zenon_H25a zenon_H3e8 zenon_H229 zenon_H1ee zenon_H25d zenon_H3f0 zenon_H53 zenon_H1e4 zenon_H56 zenon_H19a zenon_H1ab zenon_H340 zenon_H25 zenon_H14 zenon_H17 zenon_H2c zenon_H49 zenon_H3a zenon_H45 zenon_H4d zenon_H162 zenon_H2f3 zenon_H343 zenon_H3e3 zenon_H42 zenon_H50 zenon_H3b1 zenon_H3de zenon_H3ee zenon_H3dc.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H345); [ zenon_intro zenon_H48 | zenon_intro zenon_H349 ].
% 83.65/83.82 apply (zenon_L14_); trivial.
% 83.65/83.82 apply (zenon_or_s _ _ zenon_H349); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H34a ].
% 83.65/83.82 apply (zenon_L407_); trivial.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H34a); [ zenon_intro zenon_H1b4 | zenon_intro zenon_H2da ].
% 83.65/83.83 apply (zenon_L399_); trivial.
% 83.65/83.83 apply (zenon_L411_); trivial.
% 83.65/83.83 (* end of lemma zenon_L412_ *)
% 83.65/83.83 assert (zenon_L413_ : ((op1 (op1 (e12) (e13)) (e12)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (op1 (e12) (e13))) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e10)) = (e11)) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e11) (e12)) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((e11) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (op1 (e12) (e13)) (e13)) = (e12))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 83.65/83.83 do 0 intro. intros zenon_H3dc zenon_H3ee zenon_H3de zenon_H3b1 zenon_H3e3 zenon_H343 zenon_H2f3 zenon_H162 zenon_H340 zenon_H1ab zenon_H19a zenon_H56 zenon_H1e4 zenon_H3f0 zenon_H25d zenon_H1ee zenon_H229 zenon_H3e8 zenon_H25a zenon_H345 zenon_H45 zenon_H50 zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H2c zenon_H17 zenon_H14 zenon_H25.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H42 | zenon_intro zenon_H57 ].
% 83.65/83.83 apply (zenon_L412_); trivial.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H57); [ zenon_intro zenon_H46 | zenon_intro zenon_H58 ].
% 83.65/83.83 apply (zenon_L15_); trivial.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H51 | zenon_intro zenon_H54 ].
% 83.65/83.83 apply (zenon_L17_); trivial.
% 83.65/83.83 apply (zenon_L19_); trivial.
% 83.65/83.83 (* end of lemma zenon_L413_ *)
% 83.65/83.83 assert (zenon_L414_ : (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (op1 (e12) (e13)) (e13)) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((e11) = (e13))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (op1 (e12) (e13))) = (e13))) -> ((op1 (op1 (e12) (e13)) (e12)) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 83.65/83.83 do 0 intro. intros zenon_H345 zenon_H25a zenon_H3e8 zenon_H229 zenon_H1ee zenon_H25d zenon_H3f0 zenon_H19a zenon_H340 zenon_H162 zenon_H2f3 zenon_H343 zenon_H3ee zenon_H56 zenon_H1e4 zenon_H3de zenon_H3dc zenon_H3b1 zenon_H3e3 zenon_H45 zenon_H50 zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H2c zenon_H17 zenon_H14 zenon_H25.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H1aa | zenon_intro zenon_H25e ].
% 83.65/83.83 apply (zenon_L177_); trivial.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H228 | zenon_intro zenon_H25f ].
% 83.65/83.83 apply (zenon_L147_); trivial.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H25f); [ zenon_intro zenon_H1ab | zenon_intro zenon_H259 ].
% 83.65/83.83 apply (zenon_L413_); trivial.
% 83.65/83.83 apply (zenon_L401_); trivial.
% 83.65/83.83 (* end of lemma zenon_L414_ *)
% 83.65/83.83 assert (zenon_L415_ : ((op1 (op1 (e12) (e13)) (e12)) = (e13)) -> ((op1 (e12) (e13)) = (e13)) -> ((op1 (e12) (e12)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> False).
% 83.65/83.83 do 0 intro. intros zenon_H3dc zenon_H363 zenon_H1da zenon_H360.
% 83.65/83.83 elim (classic ((op1 (e13) (e12)) = (op1 (e13) (e12)))); [ zenon_intro zenon_H205 | zenon_intro zenon_H206 ].
% 83.65/83.83 cut (((op1 (e13) (e12)) = (op1 (e13) (e12))) = ((op1 (e12) (e12)) = (op1 (e13) (e12)))).
% 83.65/83.83 intro zenon_D_pnotp.
% 83.65/83.83 apply zenon_H360.
% 83.65/83.83 rewrite <- zenon_D_pnotp.
% 83.65/83.83 exact zenon_H205.
% 83.65/83.83 cut (((op1 (e13) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H206].
% 83.65/83.83 cut (((op1 (e13) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H361].
% 83.65/83.83 congruence.
% 83.65/83.83 cut (((op1 (op1 (e12) (e13)) (e12)) = (e13)) = ((op1 (e13) (e12)) = (op1 (e12) (e12)))).
% 83.65/83.83 intro zenon_D_pnotp.
% 83.65/83.83 apply zenon_H361.
% 83.65/83.83 rewrite <- zenon_D_pnotp.
% 83.65/83.83 exact zenon_H3dc.
% 83.65/83.83 cut (((e13) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1db].
% 83.65/83.83 cut (((op1 (op1 (e12) (e13)) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H3e7].
% 83.65/83.83 congruence.
% 83.65/83.83 elim (classic ((op1 (e13) (e12)) = (op1 (e13) (e12)))); [ zenon_intro zenon_H205 | zenon_intro zenon_H206 ].
% 83.65/83.83 cut (((op1 (e13) (e12)) = (op1 (e13) (e12))) = ((op1 (op1 (e12) (e13)) (e12)) = (op1 (e13) (e12)))).
% 83.65/83.83 intro zenon_D_pnotp.
% 83.65/83.83 apply zenon_H3e7.
% 83.65/83.83 rewrite <- zenon_D_pnotp.
% 83.65/83.83 exact zenon_H205.
% 83.65/83.83 cut (((op1 (e13) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H206].
% 83.65/83.83 cut (((op1 (e13) (e12)) = (op1 (op1 (e12) (e13)) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H3e6].
% 83.65/83.83 congruence.
% 83.65/83.83 apply (zenon_L402_); trivial.
% 83.65/83.83 apply zenon_H206. apply refl_equal.
% 83.65/83.83 apply zenon_H206. apply refl_equal.
% 83.65/83.83 apply zenon_H1db. apply sym_equal. exact zenon_H1da.
% 83.65/83.83 apply zenon_H206. apply refl_equal.
% 83.65/83.83 apply zenon_H206. apply refl_equal.
% 83.65/83.83 (* end of lemma zenon_L415_ *)
% 83.65/83.83 assert (zenon_L416_ : (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (op1 (e12) (e13)) (e12)) = (e13)) -> ((op1 (e12) (e13)) = (e11)) -> ((op1 (e12) (e12)) = (e13)) -> False).
% 83.65/83.83 do 0 intro. intros zenon_H1a5 zenon_H3dc zenon_H1b3 zenon_H1da.
% 83.65/83.83 cut (((op1 (op1 (e12) (e13)) (e12)) = (e13)) = ((op1 (e11) (e12)) = (op1 (e12) (e12)))).
% 83.65/83.83 intro zenon_D_pnotp.
% 83.65/83.83 apply zenon_H1a5.
% 83.65/83.83 rewrite <- zenon_D_pnotp.
% 83.65/83.83 exact zenon_H3dc.
% 83.65/83.83 cut (((e13) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1db].
% 83.65/83.83 cut (((op1 (op1 (e12) (e13)) (e12)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H3dd].
% 83.65/83.83 congruence.
% 83.65/83.83 elim (classic ((op1 (e11) (e12)) = (op1 (e11) (e12)))); [ zenon_intro zenon_H1a1 | zenon_intro zenon_H19e ].
% 83.65/83.83 cut (((op1 (e11) (e12)) = (op1 (e11) (e12))) = ((op1 (op1 (e12) (e13)) (e12)) = (op1 (e11) (e12)))).
% 83.65/83.83 intro zenon_D_pnotp.
% 83.65/83.83 apply zenon_H3dd.
% 83.65/83.83 rewrite <- zenon_D_pnotp.
% 83.65/83.83 exact zenon_H1a1.
% 83.65/83.83 cut (((op1 (e11) (e12)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H19e].
% 83.65/83.83 cut (((op1 (e11) (e12)) = (op1 (op1 (e12) (e13)) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H3db].
% 83.65/83.83 congruence.
% 83.65/83.83 apply (zenon_L397_); trivial.
% 83.65/83.83 apply zenon_H19e. apply refl_equal.
% 83.65/83.83 apply zenon_H19e. apply refl_equal.
% 83.65/83.83 apply zenon_H1db. apply sym_equal. exact zenon_H1da.
% 83.65/83.83 (* end of lemma zenon_L416_ *)
% 83.65/83.83 assert (zenon_L417_ : (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e12)) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (op1 (e12) (e13))) = (e13))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e12) (e13)) (e12)) = (e13)) -> ((op1 (e13) (e13)) = (e13)) -> False).
% 83.65/83.83 do 0 intro. intros zenon_H3e3 zenon_H42 zenon_H50 zenon_H1da zenon_H1a5 zenon_H3de zenon_H3ee zenon_H3dc zenon_H2dd.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H3e3); [ zenon_intro zenon_H51 | zenon_intro zenon_H3e4 ].
% 83.65/83.83 apply (zenon_L16_); trivial.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H3e4); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H3e5 ].
% 83.65/83.83 apply (zenon_L416_); trivial.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H3e5); [ zenon_intro zenon_H1b4 | zenon_intro zenon_H363 ].
% 83.65/83.83 apply (zenon_L399_); trivial.
% 83.65/83.83 apply (zenon_L405_); trivial.
% 83.65/83.83 (* end of lemma zenon_L417_ *)
% 83.65/83.83 assert (zenon_L418_ : (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e12)) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (op1 (e12) (e13))) = (e13))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e12) (e13)) (e12)) = (e13)) -> False).
% 83.65/83.83 do 0 intro. intros zenon_H3f0 zenon_H25 zenon_H14 zenon_H17 zenon_H1e4 zenon_H3b1 zenon_H360 zenon_H3e3 zenon_H42 zenon_H50 zenon_H1da zenon_H1a5 zenon_H3de zenon_H3ee zenon_H3dc.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H3f0); [ zenon_intro zenon_H24 | zenon_intro zenon_H3f1 ].
% 83.65/83.83 apply (zenon_L5_); trivial.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H3f1); [ zenon_intro zenon_H259 | zenon_intro zenon_H3f2 ].
% 83.65/83.83 apply (zenon_L400_); trivial.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H3f2); [ zenon_intro zenon_H363 | zenon_intro zenon_H2dd ].
% 83.65/83.83 apply (zenon_L415_); trivial.
% 83.65/83.83 apply (zenon_L417_); trivial.
% 83.65/83.83 (* end of lemma zenon_L418_ *)
% 83.65/83.83 assert (zenon_L419_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (op1 (e12) (e13)) (e12)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (op1 (e12) (e13))) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e12)) = (e13)) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 83.65/83.83 do 0 intro. intros zenon_H56 zenon_H3dc zenon_H3ee zenon_H3de zenon_H1a5 zenon_H1da zenon_H3e3 zenon_H360 zenon_H3b1 zenon_H1e4 zenon_H3f0 zenon_H45 zenon_H50 zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H2c zenon_H17 zenon_H14 zenon_H25.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H42 | zenon_intro zenon_H57 ].
% 83.65/83.83 apply (zenon_L418_); trivial.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H57); [ zenon_intro zenon_H46 | zenon_intro zenon_H58 ].
% 83.65/83.83 apply (zenon_L15_); trivial.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H51 | zenon_intro zenon_H54 ].
% 83.65/83.83 apply (zenon_L17_); trivial.
% 83.65/83.83 apply (zenon_L19_); trivial.
% 83.65/83.83 (* end of lemma zenon_L419_ *)
% 83.65/83.83 assert (zenon_L420_ : (~((op1 (e12) (op1 (e12) (e13))) = (op1 (e12) (e13)))) -> ((op1 (e12) (e13)) = (e13)) -> False).
% 83.65/83.83 do 0 intro. intros zenon_H3f3 zenon_H363.
% 83.65/83.83 cut (((op1 (e12) (e13)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H3f4].
% 83.65/83.83 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2b].
% 83.65/83.83 congruence.
% 83.65/83.83 apply zenon_H2b. apply refl_equal.
% 83.65/83.83 exact (zenon_H3f4 zenon_H363).
% 83.65/83.83 (* end of lemma zenon_L420_ *)
% 83.65/83.83 assert (zenon_L421_ : (~((op1 (e12) (op1 (e12) (e13))) = (e13))) -> ((op1 (e12) (e13)) = (e13)) -> False).
% 83.65/83.83 do 0 intro. intros zenon_H3de zenon_H363.
% 83.65/83.83 cut (((op1 (e12) (e13)) = (e13)) = ((op1 (e12) (op1 (e12) (e13))) = (e13))).
% 83.65/83.83 intro zenon_D_pnotp.
% 83.65/83.83 apply zenon_H3de.
% 83.65/83.83 rewrite <- zenon_D_pnotp.
% 83.65/83.83 exact zenon_H363.
% 83.65/83.83 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H1f0].
% 83.65/83.83 cut (((op1 (e12) (e13)) = (op1 (e12) (op1 (e12) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3f5].
% 83.65/83.83 congruence.
% 83.65/83.83 elim (classic ((op1 (e12) (op1 (e12) (e13))) = (op1 (e12) (op1 (e12) (e13))))); [ zenon_intro zenon_H3e0 | zenon_intro zenon_H3e1 ].
% 83.65/83.83 cut (((op1 (e12) (op1 (e12) (e13))) = (op1 (e12) (op1 (e12) (e13)))) = ((op1 (e12) (e13)) = (op1 (e12) (op1 (e12) (e13))))).
% 83.65/83.83 intro zenon_D_pnotp.
% 83.65/83.83 apply zenon_H3f5.
% 83.65/83.83 rewrite <- zenon_D_pnotp.
% 83.65/83.83 exact zenon_H3e0.
% 83.65/83.83 cut (((op1 (e12) (op1 (e12) (e13))) = (op1 (e12) (op1 (e12) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3e1].
% 83.65/83.83 cut (((op1 (e12) (op1 (e12) (e13))) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H3f3].
% 83.65/83.83 congruence.
% 83.65/83.83 apply (zenon_L420_); trivial.
% 83.65/83.83 apply zenon_H3e1. apply refl_equal.
% 83.65/83.83 apply zenon_H3e1. apply refl_equal.
% 83.65/83.83 apply zenon_H1f0. apply refl_equal.
% 83.65/83.83 (* end of lemma zenon_L421_ *)
% 83.65/83.83 assert (zenon_L422_ : (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((e11) = (e13))) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e12) (e13)) (e12)) = (e13)) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (op1 (e12) (e13))) = (e13))) -> False).
% 83.65/83.83 do 0 intro. intros zenon_H365 zenon_H1ee zenon_H16c zenon_H230 zenon_H25 zenon_H14 zenon_H17 zenon_H2c zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H50 zenon_H45 zenon_H3f0 zenon_H1e4 zenon_H3b1 zenon_H360 zenon_H3e3 zenon_H1a5 zenon_H3ee zenon_H3dc zenon_H56 zenon_H3de.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H365); [ zenon_intro zenon_H1d9 | zenon_intro zenon_H366 ].
% 83.65/83.83 apply (zenon_L234_); trivial.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H366); [ zenon_intro zenon_H22f | zenon_intro zenon_H367 ].
% 83.65/83.83 apply (zenon_L148_); trivial.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H367); [ zenon_intro zenon_H1da | zenon_intro zenon_H363 ].
% 83.65/83.83 apply (zenon_L419_); trivial.
% 83.65/83.83 apply (zenon_L421_); trivial.
% 83.65/83.83 (* end of lemma zenon_L422_ *)
% 83.65/83.83 assert (zenon_L423_ : (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (e11) (e13)) = (e11)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (op1 (e12) (e13))) = (e13))) -> ((op1 (op1 (e12) (e13)) (e12)) = (e13)) -> ((op1 (e11) (e12)) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> False).
% 83.65/83.83 do 0 intro. intros zenon_H3e3 zenon_H25 zenon_H14 zenon_H17 zenon_H2c zenon_H49 zenon_H3a zenon_H50 zenon_H4d zenon_H1eb zenon_H1e4 zenon_H3de zenon_H3dc zenon_H1ab zenon_H19a.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H3e3); [ zenon_intro zenon_H51 | zenon_intro zenon_H3e4 ].
% 83.65/83.83 apply (zenon_L17_); trivial.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H3e4); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H3e5 ].
% 83.65/83.83 apply (zenon_L330_); trivial.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H3e5); [ zenon_intro zenon_H1b4 | zenon_intro zenon_H363 ].
% 83.65/83.83 apply (zenon_L399_); trivial.
% 83.65/83.83 apply (zenon_L403_); trivial.
% 83.65/83.83 (* end of lemma zenon_L423_ *)
% 83.65/83.83 assert (zenon_L424_ : (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (op1 (e12) (e13)) (e12)) = (e13)) -> ((op1 (e12) (e13)) = (e11)) -> ((op1 (e13) (e12)) = (e13)) -> False).
% 83.65/83.83 do 0 intro. intros zenon_H19a zenon_H3dc zenon_H1b3 zenon_H36d.
% 83.65/83.83 cut (((op1 (op1 (e12) (e13)) (e12)) = (e13)) = ((op1 (e11) (e12)) = (op1 (e13) (e12)))).
% 83.65/83.83 intro zenon_D_pnotp.
% 83.65/83.83 apply zenon_H19a.
% 83.65/83.83 rewrite <- zenon_D_pnotp.
% 83.65/83.83 exact zenon_H3dc.
% 83.65/83.83 cut (((e13) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H3f6].
% 83.65/83.83 cut (((op1 (op1 (e12) (e13)) (e12)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H3dd].
% 83.65/83.83 congruence.
% 83.65/83.83 elim (classic ((op1 (e11) (e12)) = (op1 (e11) (e12)))); [ zenon_intro zenon_H1a1 | zenon_intro zenon_H19e ].
% 83.65/83.83 cut (((op1 (e11) (e12)) = (op1 (e11) (e12))) = ((op1 (op1 (e12) (e13)) (e12)) = (op1 (e11) (e12)))).
% 83.65/83.83 intro zenon_D_pnotp.
% 83.65/83.83 apply zenon_H3dd.
% 83.65/83.83 rewrite <- zenon_D_pnotp.
% 83.65/83.83 exact zenon_H1a1.
% 83.65/83.83 cut (((op1 (e11) (e12)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H19e].
% 83.65/83.83 cut (((op1 (e11) (e12)) = (op1 (op1 (e12) (e13)) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H3db].
% 83.65/83.83 congruence.
% 83.65/83.83 apply (zenon_L397_); trivial.
% 83.65/83.83 apply zenon_H19e. apply refl_equal.
% 83.65/83.83 apply zenon_H19e. apply refl_equal.
% 83.65/83.83 apply zenon_H3f6. apply sym_equal. exact zenon_H36d.
% 83.65/83.83 (* end of lemma zenon_L424_ *)
% 83.65/83.83 assert (zenon_L425_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e11) = (e13))) -> ((op1 (e13) (e10)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (e12) (e13)) = (e11)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (op1 (e12) (e13)) (e13)) = (e12))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (op1 (e12) (e13))) = (e13))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e12) (e13)) (e12)) = (e13)) -> False).
% 83.65/83.83 do 0 intro. intros zenon_H3f7 zenon_H1ee zenon_H195 zenon_H236 zenon_H19a zenon_H340 zenon_H25 zenon_H14 zenon_H17 zenon_H2c zenon_H49 zenon_H3a zenon_H45 zenon_H4d zenon_H1b3 zenon_H1e4 zenon_H3e8 zenon_H3e3 zenon_H42 zenon_H50 zenon_H3b1 zenon_H3de zenon_H3ee zenon_H3dc.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H3f7); [ zenon_intro zenon_H1ed | zenon_intro zenon_H3f8 ].
% 83.65/83.83 apply (zenon_L128_); trivial.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H3f8); [ zenon_intro zenon_H235 | zenon_intro zenon_H3f9 ].
% 83.65/83.83 apply (zenon_L149_); trivial.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H3f9); [ zenon_intro zenon_H36d | zenon_intro zenon_H2dd ].
% 83.65/83.83 apply (zenon_L424_); trivial.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H340); [ zenon_intro zenon_H46 | zenon_intro zenon_H341 ].
% 83.65/83.83 apply (zenon_L15_); trivial.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H341); [ zenon_intro zenon_H1eb | zenon_intro zenon_H342 ].
% 83.65/83.83 apply (zenon_L330_); trivial.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H342); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H259 ].
% 83.65/83.83 apply (zenon_L406_); trivial.
% 83.65/83.83 apply (zenon_L409_); trivial.
% 83.65/83.83 (* end of lemma zenon_L425_ *)
% 83.65/83.83 assert (zenon_L426_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (op1 (e12) (e13)) (e12)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (op1 (e12) (e13))) = (e13))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (op1 (e12) (e13)) (e13)) = (e12))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e13)) = (e11)) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e10)) = (e11)) -> (~((e11) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 83.65/83.83 do 0 intro. intros zenon_H56 zenon_H3dc zenon_H3ee zenon_H3de zenon_H3b1 zenon_H3e3 zenon_H3e8 zenon_H1e4 zenon_H1b3 zenon_H340 zenon_H19a zenon_H236 zenon_H195 zenon_H1ee zenon_H3f7 zenon_H45 zenon_H50 zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H2c zenon_H17 zenon_H14 zenon_H25.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H42 | zenon_intro zenon_H57 ].
% 83.65/83.83 apply (zenon_L425_); trivial.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H57); [ zenon_intro zenon_H46 | zenon_intro zenon_H58 ].
% 83.65/83.83 apply (zenon_L15_); trivial.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H51 | zenon_intro zenon_H54 ].
% 83.65/83.83 apply (zenon_L17_); trivial.
% 83.65/83.83 apply (zenon_L19_); trivial.
% 83.65/83.83 (* end of lemma zenon_L426_ *)
% 83.65/83.83 assert (zenon_L427_ : (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((op1 (e11) (e12)) = (e13)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e11) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (op1 (e12) (e13)) (e13)) = (e12))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (op1 (e12) (e13))) = (e13))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e12) (e13)) (e12)) = (e13)) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e10)) = (e11)) -> False).
% 83.65/83.83 do 0 intro. intros zenon_H3fa zenon_H1ab zenon_H25 zenon_H14 zenon_H17 zenon_H2c zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H50 zenon_H45 zenon_H3f7 zenon_H1ee zenon_H236 zenon_H19a zenon_H340 zenon_H1e4 zenon_H3e8 zenon_H3e3 zenon_H3b1 zenon_H3de zenon_H3ee zenon_H3dc zenon_H56 zenon_H20a zenon_H195.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H3fa); [ zenon_intro zenon_H39 | zenon_intro zenon_H3fb ].
% 83.65/83.83 apply (zenon_L10_); trivial.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H3fb); [ zenon_intro zenon_H1eb | zenon_intro zenon_H3fc ].
% 83.65/83.83 apply (zenon_L423_); trivial.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H3fc); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H20b ].
% 83.65/83.83 apply (zenon_L426_); trivial.
% 83.65/83.83 apply (zenon_L312_); trivial.
% 83.65/83.83 (* end of lemma zenon_L427_ *)
% 83.65/83.83 assert (zenon_L428_ : (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (op1 (e12) (e13)) (e12)) = (e13)) -> ((op1 (e12) (e13)) = (e12)) -> ((op1 (e13) (e12)) = (e13)) -> False).
% 83.65/83.83 do 0 intro. intros zenon_H360 zenon_H3dc zenon_H1b4 zenon_H36d.
% 83.65/83.83 cut (((op1 (op1 (e12) (e13)) (e12)) = (e13)) = ((op1 (e12) (e12)) = (op1 (e13) (e12)))).
% 83.65/83.83 intro zenon_D_pnotp.
% 83.65/83.83 apply zenon_H360.
% 83.65/83.83 rewrite <- zenon_D_pnotp.
% 83.65/83.83 exact zenon_H3dc.
% 83.65/83.83 cut (((e13) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H3f6].
% 83.65/83.83 cut (((op1 (op1 (e12) (e13)) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H3fd].
% 83.65/83.83 congruence.
% 83.65/83.83 elim (classic ((op1 (e12) (e12)) = (op1 (e12) (e12)))); [ zenon_intro zenon_H188 | zenon_intro zenon_H189 ].
% 83.65/83.83 cut (((op1 (e12) (e12)) = (op1 (e12) (e12))) = ((op1 (op1 (e12) (e13)) (e12)) = (op1 (e12) (e12)))).
% 83.65/83.83 intro zenon_D_pnotp.
% 83.65/83.83 apply zenon_H3fd.
% 83.65/83.83 rewrite <- zenon_D_pnotp.
% 83.65/83.83 exact zenon_H188.
% 83.65/83.83 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H189].
% 83.65/83.83 cut (((op1 (e12) (e12)) = (op1 (op1 (e12) (e13)) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H3fe].
% 83.65/83.83 congruence.
% 83.65/83.83 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2b].
% 83.65/83.83 cut (((e12) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H1e6].
% 83.65/83.83 congruence.
% 83.65/83.83 apply zenon_H1e6. apply sym_equal. exact zenon_H1b4.
% 83.65/83.83 apply zenon_H2b. apply refl_equal.
% 83.65/83.83 apply zenon_H189. apply refl_equal.
% 83.65/83.83 apply zenon_H189. apply refl_equal.
% 83.65/83.83 apply zenon_H3f6. apply sym_equal. exact zenon_H36d.
% 83.65/83.83 (* end of lemma zenon_L428_ *)
% 83.65/83.83 assert (zenon_L429_ : (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e12)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e12) (e13)) (e12)) = (e13)) -> ((op1 (e13) (e13)) = (e13)) -> False).
% 83.65/83.83 do 0 intro. intros zenon_H3e3 zenon_H42 zenon_H50 zenon_H19a zenon_H36d zenon_H360 zenon_H3ee zenon_H3dc zenon_H2dd.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H3e3); [ zenon_intro zenon_H51 | zenon_intro zenon_H3e4 ].
% 83.65/83.83 apply (zenon_L16_); trivial.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H3e4); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H3e5 ].
% 83.65/83.83 apply (zenon_L424_); trivial.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H3e5); [ zenon_intro zenon_H1b4 | zenon_intro zenon_H363 ].
% 83.65/83.83 apply (zenon_L428_); trivial.
% 83.65/83.83 apply (zenon_L405_); trivial.
% 83.65/83.83 (* end of lemma zenon_L429_ *)
% 83.65/83.83 assert (zenon_L430_ : (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (op1 (e12) (e13))) = (e13))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e12)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e12) (e13)) (e12)) = (e13)) -> False).
% 83.65/83.83 do 0 intro. intros zenon_H3f0 zenon_H25 zenon_H14 zenon_H17 zenon_H2c zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H45 zenon_H3b1 zenon_H1e4 zenon_H56 zenon_H3de zenon_H3e3 zenon_H42 zenon_H50 zenon_H19a zenon_H36d zenon_H360 zenon_H3ee zenon_H3dc.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H3f0); [ zenon_intro zenon_H24 | zenon_intro zenon_H3f1 ].
% 83.65/83.83 apply (zenon_L5_); trivial.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H3f1); [ zenon_intro zenon_H259 | zenon_intro zenon_H3f2 ].
% 83.65/83.83 apply (zenon_L401_); trivial.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H3f2); [ zenon_intro zenon_H363 | zenon_intro zenon_H2dd ].
% 83.65/83.83 apply (zenon_L421_); trivial.
% 83.65/83.83 apply (zenon_L429_); trivial.
% 83.65/83.83 (* end of lemma zenon_L430_ *)
% 83.65/83.83 assert (zenon_L431_ : ((~((op1 (e12) (op1 (e12) (e13))) = (e13)))/\(((op1 (op1 (e12) (e13)) (e12)) = (e13))/\(~((op1 (op1 (e12) (e13)) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((e11) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 83.65/83.83 do 0 intro. intros zenon_H3ff zenon_H1f3 zenon_H2e zenon_H343 zenon_H2f3 zenon_H25d zenon_H229 zenon_H25a zenon_H345 zenon_H230 zenon_H365 zenon_H373 zenon_H1e zenon_H20a zenon_H340 zenon_H236 zenon_H1ee zenon_H3f7 zenon_H3fa zenon_H1a5 zenon_H3ee zenon_H360 zenon_H19a zenon_H3e3 zenon_H56 zenon_H1e4 zenon_H3b1 zenon_H3f0 zenon_H45 zenon_H50 zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H2c zenon_H17 zenon_H14 zenon_H25.
% 83.65/83.83 apply (zenon_and_s _ _ zenon_H3ff). zenon_intro zenon_H3de. zenon_intro zenon_H400.
% 83.65/83.83 apply (zenon_and_s _ _ zenon_H400). zenon_intro zenon_H3dc. zenon_intro zenon_H3e8.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H2d | zenon_intro zenon_H1f6 ].
% 83.65/83.83 apply (zenon_L7_); trivial.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H162 | zenon_intro zenon_H1f7 ].
% 83.65/83.83 apply (zenon_L414_); trivial.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H16c | zenon_intro zenon_H195 ].
% 83.65/83.83 apply (zenon_L422_); trivial.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H373); [ zenon_intro zenon_H1d | zenon_intro zenon_H374 ].
% 83.65/83.83 apply (zenon_L4_); trivial.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H374); [ zenon_intro zenon_H1ab | zenon_intro zenon_H375 ].
% 83.65/83.83 apply (zenon_L427_); trivial.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H375); [ zenon_intro zenon_H1da | zenon_intro zenon_H36d ].
% 83.65/83.83 apply (zenon_L419_); trivial.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H42 | zenon_intro zenon_H57 ].
% 83.65/83.83 apply (zenon_L430_); trivial.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H57); [ zenon_intro zenon_H46 | zenon_intro zenon_H58 ].
% 83.65/83.83 apply (zenon_L15_); trivial.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H51 | zenon_intro zenon_H54 ].
% 83.65/83.83 apply (zenon_L17_); trivial.
% 83.65/83.83 apply (zenon_L19_); trivial.
% 83.65/83.83 (* end of lemma zenon_L431_ *)
% 83.65/83.83 assert (zenon_L432_ : ((op1 (op1 (e13) (e10)) (e13)) = (e10)) -> ((op1 (e13) (e10)) = (e11)) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> False).
% 83.65/83.83 do 0 intro. intros zenon_H401 zenon_H195 zenon_H42 zenon_H45.
% 83.65/83.83 elim (classic ((op1 (e11) (e13)) = (op1 (e11) (e13)))); [ zenon_intro zenon_H402 | zenon_intro zenon_H1e7 ].
% 83.65/83.83 cut (((op1 (e11) (e13)) = (op1 (e11) (e13))) = ((op1 (e10) (e13)) = (op1 (e11) (e13)))).
% 83.65/83.83 intro zenon_D_pnotp.
% 83.65/83.83 apply zenon_H45.
% 83.65/83.83 rewrite <- zenon_D_pnotp.
% 83.65/83.83 exact zenon_H402.
% 83.65/83.83 cut (((op1 (e11) (e13)) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H1e7].
% 83.65/83.83 cut (((op1 (e11) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H403].
% 83.65/83.83 congruence.
% 83.65/83.83 cut (((op1 (op1 (e13) (e10)) (e13)) = (e10)) = ((op1 (e11) (e13)) = (op1 (e10) (e13)))).
% 83.65/83.83 intro zenon_D_pnotp.
% 83.65/83.83 apply zenon_H403.
% 83.65/83.83 rewrite <- zenon_D_pnotp.
% 83.65/83.83 exact zenon_H401.
% 83.65/83.83 cut (((e10) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2c0].
% 83.65/83.83 cut (((op1 (op1 (e13) (e10)) (e13)) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H404].
% 83.65/83.83 congruence.
% 83.65/83.83 elim (classic ((op1 (e11) (e13)) = (op1 (e11) (e13)))); [ zenon_intro zenon_H402 | zenon_intro zenon_H1e7 ].
% 83.65/83.83 cut (((op1 (e11) (e13)) = (op1 (e11) (e13))) = ((op1 (op1 (e13) (e10)) (e13)) = (op1 (e11) (e13)))).
% 83.65/83.83 intro zenon_D_pnotp.
% 83.65/83.83 apply zenon_H404.
% 83.65/83.83 rewrite <- zenon_D_pnotp.
% 83.65/83.83 exact zenon_H402.
% 83.65/83.83 cut (((op1 (e11) (e13)) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H1e7].
% 83.65/83.83 cut (((op1 (e11) (e13)) = (op1 (op1 (e13) (e10)) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H405].
% 83.65/83.83 congruence.
% 83.65/83.83 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H1f0].
% 83.65/83.83 cut (((e11) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H246].
% 83.65/83.83 congruence.
% 83.65/83.83 apply zenon_H246. apply sym_equal. exact zenon_H195.
% 83.65/83.83 apply zenon_H1f0. apply refl_equal.
% 83.65/83.83 apply zenon_H1e7. apply refl_equal.
% 83.65/83.83 apply zenon_H1e7. apply refl_equal.
% 83.65/83.83 apply zenon_H2c0. apply sym_equal. exact zenon_H42.
% 83.65/83.83 apply zenon_H1e7. apply refl_equal.
% 83.65/83.83 apply zenon_H1e7. apply refl_equal.
% 83.65/83.83 (* end of lemma zenon_L432_ *)
% 83.65/83.83 assert (zenon_L433_ : (~((op1 (e13) (op1 (e13) (e10))) = (e10))) -> ((op1 (e13) (e10)) = (e10)) -> False).
% 83.65/83.83 do 0 intro. intros zenon_H406 zenon_H194.
% 83.65/83.83 cut (((op1 (e13) (e10)) = (e10)) = ((op1 (e13) (op1 (e13) (e10))) = (e10))).
% 83.65/83.83 intro zenon_D_pnotp.
% 83.65/83.83 apply zenon_H406.
% 83.65/83.83 rewrite <- zenon_D_pnotp.
% 83.65/83.83 exact zenon_H194.
% 83.65/83.83 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H12].
% 83.65/83.83 cut (((op1 (e13) (e10)) = (op1 (e13) (op1 (e13) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H407].
% 83.65/83.83 congruence.
% 83.65/83.83 elim (classic ((op1 (e13) (op1 (e13) (e10))) = (op1 (e13) (op1 (e13) (e10))))); [ zenon_intro zenon_H408 | zenon_intro zenon_H409 ].
% 83.65/83.83 cut (((op1 (e13) (op1 (e13) (e10))) = (op1 (e13) (op1 (e13) (e10)))) = ((op1 (e13) (e10)) = (op1 (e13) (op1 (e13) (e10))))).
% 83.65/83.83 intro zenon_D_pnotp.
% 83.65/83.83 apply zenon_H407.
% 83.65/83.83 rewrite <- zenon_D_pnotp.
% 83.65/83.83 exact zenon_H408.
% 83.65/83.83 cut (((op1 (e13) (op1 (e13) (e10))) = (op1 (e13) (op1 (e13) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H409].
% 83.65/83.83 cut (((op1 (e13) (op1 (e13) (e10))) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H40a].
% 83.65/83.83 congruence.
% 83.65/83.83 cut (((op1 (e13) (e10)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H3c1].
% 83.65/83.83 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H1f0].
% 83.65/83.83 congruence.
% 83.65/83.83 apply zenon_H1f0. apply refl_equal.
% 83.65/83.83 exact (zenon_H3c1 zenon_H194).
% 83.65/83.83 apply zenon_H409. apply refl_equal.
% 83.65/83.83 apply zenon_H409. apply refl_equal.
% 83.65/83.83 apply zenon_H12. apply refl_equal.
% 83.65/83.83 (* end of lemma zenon_L433_ *)
% 83.65/83.83 assert (zenon_L434_ : ((e12) = (op1 (e10) (e10))) -> ((op1 (e13) (e10)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> False).
% 83.65/83.83 do 0 intro. intros zenon_H2c zenon_H40b zenon_H2fc.
% 83.65/83.83 elim (classic ((op1 (e13) (e10)) = (op1 (e13) (e10)))); [ zenon_intro zenon_H16e | zenon_intro zenon_H16f ].
% 83.65/83.83 cut (((op1 (e13) (e10)) = (op1 (e13) (e10))) = ((op1 (e10) (e10)) = (op1 (e13) (e10)))).
% 83.65/83.83 intro zenon_D_pnotp.
% 83.65/83.83 apply zenon_H2fc.
% 83.65/83.83 rewrite <- zenon_D_pnotp.
% 83.65/83.83 exact zenon_H16e.
% 83.65/83.83 cut (((op1 (e13) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H16f].
% 83.65/83.83 cut (((op1 (e13) (e10)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H40c].
% 83.65/83.83 congruence.
% 83.65/83.83 cut (((e12) = (op1 (e10) (e10))) = ((op1 (e13) (e10)) = (op1 (e10) (e10)))).
% 83.65/83.83 intro zenon_D_pnotp.
% 83.65/83.83 apply zenon_H40c.
% 83.65/83.83 rewrite <- zenon_D_pnotp.
% 83.65/83.83 exact zenon_H2c.
% 83.65/83.83 cut (((op1 (e10) (e10)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H1b].
% 83.65/83.83 cut (((e12) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H40d].
% 83.65/83.83 congruence.
% 83.65/83.83 elim (classic ((op1 (e13) (e10)) = (op1 (e13) (e10)))); [ zenon_intro zenon_H16e | zenon_intro zenon_H16f ].
% 83.65/83.83 cut (((op1 (e13) (e10)) = (op1 (e13) (e10))) = ((e12) = (op1 (e13) (e10)))).
% 83.65/83.83 intro zenon_D_pnotp.
% 83.65/83.83 apply zenon_H40d.
% 83.65/83.83 rewrite <- zenon_D_pnotp.
% 83.65/83.83 exact zenon_H16e.
% 83.65/83.83 cut (((op1 (e13) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H16f].
% 83.65/83.83 cut (((op1 (e13) (e10)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H40e].
% 83.65/83.83 congruence.
% 83.65/83.83 exact (zenon_H40e zenon_H40b).
% 83.65/83.83 apply zenon_H16f. apply refl_equal.
% 83.65/83.83 apply zenon_H16f. apply refl_equal.
% 83.65/83.83 apply zenon_H1b. apply refl_equal.
% 83.65/83.83 apply zenon_H16f. apply refl_equal.
% 83.65/83.83 apply zenon_H16f. apply refl_equal.
% 83.65/83.83 (* end of lemma zenon_L434_ *)
% 83.65/83.83 assert (zenon_L435_ : ((op1 (op1 (e13) (e10)) (e13)) = (e10)) -> ((op1 (e13) (e10)) = (e13)) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False).
% 83.65/83.83 do 0 intro. intros zenon_H401 zenon_H1ed zenon_H42 zenon_H53.
% 83.65/83.83 elim (classic ((op1 (e13) (e13)) = (op1 (e13) (e13)))); [ zenon_intro zenon_H2e9 | zenon_intro zenon_H40f ].
% 83.65/83.83 cut (((op1 (e13) (e13)) = (op1 (e13) (e13))) = ((op1 (e10) (e13)) = (op1 (e13) (e13)))).
% 83.65/83.83 intro zenon_D_pnotp.
% 83.65/83.83 apply zenon_H53.
% 83.65/83.83 rewrite <- zenon_D_pnotp.
% 83.65/83.83 exact zenon_H2e9.
% 83.65/83.83 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H40f].
% 83.65/83.83 cut (((op1 (e13) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H410].
% 83.65/83.83 congruence.
% 83.65/83.83 cut (((op1 (op1 (e13) (e10)) (e13)) = (e10)) = ((op1 (e13) (e13)) = (op1 (e10) (e13)))).
% 83.65/83.83 intro zenon_D_pnotp.
% 83.65/83.83 apply zenon_H410.
% 83.65/83.83 rewrite <- zenon_D_pnotp.
% 83.65/83.83 exact zenon_H401.
% 83.65/83.83 cut (((e10) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2c0].
% 83.65/83.83 cut (((op1 (op1 (e13) (e10)) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H411].
% 83.65/83.83 congruence.
% 83.65/83.83 elim (classic ((op1 (e13) (e13)) = (op1 (e13) (e13)))); [ zenon_intro zenon_H2e9 | zenon_intro zenon_H40f ].
% 83.65/83.83 cut (((op1 (e13) (e13)) = (op1 (e13) (e13))) = ((op1 (op1 (e13) (e10)) (e13)) = (op1 (e13) (e13)))).
% 83.65/83.83 intro zenon_D_pnotp.
% 83.65/83.83 apply zenon_H411.
% 83.65/83.83 rewrite <- zenon_D_pnotp.
% 83.65/83.83 exact zenon_H2e9.
% 83.65/83.83 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H40f].
% 83.65/83.83 cut (((op1 (e13) (e13)) = (op1 (op1 (e13) (e10)) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H412].
% 83.65/83.83 congruence.
% 83.65/83.83 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H1f0].
% 83.65/83.83 cut (((e13) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H2fd].
% 83.65/83.83 congruence.
% 83.65/83.83 apply zenon_H2fd. apply sym_equal. exact zenon_H1ed.
% 83.65/83.83 apply zenon_H1f0. apply refl_equal.
% 83.65/83.83 apply zenon_H40f. apply refl_equal.
% 83.65/83.83 apply zenon_H40f. apply refl_equal.
% 83.65/83.83 apply zenon_H2c0. apply sym_equal. exact zenon_H42.
% 83.65/83.83 apply zenon_H40f. apply refl_equal.
% 83.65/83.83 apply zenon_H40f. apply refl_equal.
% 83.65/83.83 (* end of lemma zenon_L435_ *)
% 83.65/83.83 assert (zenon_L436_ : (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e13) (op1 (e13) (e10))) = (e10))) -> ((op1 (e13) (e11)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (e10) (e10))) -> ((op1 (op1 (e13) (e10)) (e13)) = (e10)) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False).
% 83.65/83.83 do 0 intro. intros zenon_H413 zenon_H406 zenon_H1c0 zenon_H1bf zenon_H2fc zenon_H2c zenon_H401 zenon_H42 zenon_H53.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H413); [ zenon_intro zenon_H194 | zenon_intro zenon_H414 ].
% 83.65/83.83 apply (zenon_L433_); trivial.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H414); [ zenon_intro zenon_H195 | zenon_intro zenon_H415 ].
% 83.65/83.83 apply (zenon_L113_); trivial.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H415); [ zenon_intro zenon_H40b | zenon_intro zenon_H1ed ].
% 83.65/83.83 apply (zenon_L434_); trivial.
% 83.65/83.83 apply (zenon_L435_); trivial.
% 83.65/83.83 (* end of lemma zenon_L436_ *)
% 83.65/83.83 assert (zenon_L437_ : (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e13) (op1 (e13) (e10))) = (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((e12) = (op1 (e10) (e10))) -> ((op1 (op1 (e13) (e10)) (e13)) = (e10)) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False).
% 83.65/83.83 do 0 intro. intros zenon_H20d zenon_H45 zenon_H1bf zenon_H204 zenon_H14 zenon_H413 zenon_H406 zenon_H20a zenon_H2fc zenon_H2c zenon_H401 zenon_H42 zenon_H53.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H195 | zenon_intro zenon_H20e ].
% 83.65/83.83 apply (zenon_L432_); trivial.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H20f ].
% 83.65/83.83 apply (zenon_L436_); trivial.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H203 | zenon_intro zenon_H20b ].
% 83.65/83.83 apply (zenon_L133_); trivial.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H413); [ zenon_intro zenon_H194 | zenon_intro zenon_H414 ].
% 83.65/83.83 apply (zenon_L433_); trivial.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H414); [ zenon_intro zenon_H195 | zenon_intro zenon_H415 ].
% 83.65/83.83 apply (zenon_L312_); trivial.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H415); [ zenon_intro zenon_H40b | zenon_intro zenon_H1ed ].
% 83.65/83.83 apply (zenon_L434_); trivial.
% 83.65/83.83 apply (zenon_L435_); trivial.
% 83.65/83.83 (* end of lemma zenon_L437_ *)
% 83.65/83.83 assert (zenon_L438_ : ((~((op1 (e13) (op1 (e13) (e10))) = (e10)))/\(((op1 (op1 (e13) (e10)) (e13)) = (e10))/\(~((op1 (op1 (e13) (e10)) (e10)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e10)) = (e12))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 83.65/83.83 do 0 intro. intros zenon_H416 zenon_H56 zenon_H2fc zenon_H20a zenon_H413 zenon_H204 zenon_H1bf zenon_H20d zenon_H45 zenon_H50 zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H2c zenon_H17 zenon_H14 zenon_H25.
% 83.65/83.83 apply (zenon_and_s _ _ zenon_H416). zenon_intro zenon_H406. zenon_intro zenon_H417.
% 83.65/83.83 apply (zenon_and_s _ _ zenon_H417). zenon_intro zenon_H401. zenon_intro zenon_H418.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H42 | zenon_intro zenon_H57 ].
% 83.65/83.83 apply (zenon_L437_); trivial.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H57); [ zenon_intro zenon_H46 | zenon_intro zenon_H58 ].
% 83.65/83.83 apply (zenon_L15_); trivial.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H51 | zenon_intro zenon_H54 ].
% 83.65/83.83 apply (zenon_L17_); trivial.
% 83.65/83.83 apply (zenon_L19_); trivial.
% 83.65/83.83 (* end of lemma zenon_L438_ *)
% 83.65/83.83 assert (zenon_L439_ : ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((op1 (e13) (e11)) = (e10)) -> (~((op1 (op1 (e13) (e11)) (e11)) = (e13))) -> False).
% 83.65/83.83 do 0 intro. intros zenon_H17 zenon_H14 zenon_H197 zenon_H419.
% 83.65/83.83 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H1ef | zenon_intro zenon_H1f0 ].
% 83.65/83.83 cut (((e13) = (e13)) = ((op1 (op1 (e13) (e11)) (e11)) = (e13))).
% 83.65/83.83 intro zenon_D_pnotp.
% 83.65/83.83 apply zenon_H419.
% 83.65/83.83 rewrite <- zenon_D_pnotp.
% 83.65/83.83 exact zenon_H1ef.
% 83.65/83.83 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H1f0].
% 83.65/83.83 cut (((e13) = (op1 (op1 (e13) (e11)) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H41a].
% 83.65/83.83 congruence.
% 83.65/83.83 cut (((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) = ((e13) = (op1 (op1 (e13) (e11)) (e11)))).
% 83.65/83.83 intro zenon_D_pnotp.
% 83.65/83.83 apply zenon_H41a.
% 83.65/83.83 rewrite <- zenon_D_pnotp.
% 83.65/83.83 exact zenon_H17.
% 83.65/83.83 cut (((op1 (e10) (op1 (e10) (op1 (e10) (e10)))) = (op1 (op1 (e13) (e11)) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H41b].
% 83.65/83.83 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H1f0].
% 83.65/83.83 congruence.
% 83.65/83.83 apply zenon_H1f0. apply refl_equal.
% 83.65/83.83 cut (((op1 (e10) (op1 (e10) (e10))) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H15].
% 83.65/83.83 cut (((e10) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H307].
% 83.65/83.83 congruence.
% 83.65/83.83 apply zenon_H307. apply sym_equal. exact zenon_H197.
% 83.65/83.83 apply zenon_H15. apply sym_equal. exact zenon_H14.
% 83.65/83.83 apply zenon_H1f0. apply refl_equal.
% 83.65/83.83 apply zenon_H1f0. apply refl_equal.
% 83.65/83.83 (* end of lemma zenon_L439_ *)
% 83.65/83.83 assert (zenon_L440_ : (~((op1 (e12) (e13)) = (op1 (op1 (e13) (e11)) (e13)))) -> ((op1 (e13) (e11)) = (e12)) -> False).
% 83.65/83.83 do 0 intro. intros zenon_H41c zenon_H198.
% 83.65/83.83 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H1f0].
% 83.65/83.83 cut (((e12) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H41d].
% 83.65/83.83 congruence.
% 83.65/83.83 apply zenon_H41d. apply sym_equal. exact zenon_H198.
% 83.65/83.83 apply zenon_H1f0. apply refl_equal.
% 83.65/83.83 (* end of lemma zenon_L440_ *)
% 83.65/83.83 assert (zenon_L441_ : ((op1 (op1 (e13) (e11)) (e13)) = (e11)) -> ((op1 (e13) (e11)) = (e12)) -> ((op1 (e12) (e11)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> False).
% 83.65/83.83 do 0 intro. intros zenon_H41e zenon_H198 zenon_H184 zenon_H41f.
% 83.65/83.83 elim (classic ((op1 (e12) (e13)) = (op1 (e12) (e13)))); [ zenon_intro zenon_H2bd | zenon_intro zenon_H2be ].
% 83.65/83.83 cut (((op1 (e12) (e13)) = (op1 (e12) (e13))) = ((op1 (e12) (e11)) = (op1 (e12) (e13)))).
% 83.65/83.83 intro zenon_D_pnotp.
% 83.65/83.83 apply zenon_H41f.
% 83.65/83.83 rewrite <- zenon_D_pnotp.
% 83.65/83.83 exact zenon_H2bd.
% 83.65/83.83 cut (((op1 (e12) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2be].
% 83.65/83.83 cut (((op1 (e12) (e13)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H420].
% 83.65/83.83 congruence.
% 83.65/83.83 cut (((op1 (op1 (e13) (e11)) (e13)) = (e11)) = ((op1 (e12) (e13)) = (op1 (e12) (e11)))).
% 83.65/83.83 intro zenon_D_pnotp.
% 83.65/83.83 apply zenon_H420.
% 83.65/83.83 rewrite <- zenon_D_pnotp.
% 83.65/83.83 exact zenon_H41e.
% 83.65/83.83 cut (((e11) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H28b].
% 83.65/83.83 cut (((op1 (op1 (e13) (e11)) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H421].
% 83.65/83.83 congruence.
% 83.65/83.83 elim (classic ((op1 (e12) (e13)) = (op1 (e12) (e13)))); [ zenon_intro zenon_H2bd | zenon_intro zenon_H2be ].
% 83.65/83.83 cut (((op1 (e12) (e13)) = (op1 (e12) (e13))) = ((op1 (op1 (e13) (e11)) (e13)) = (op1 (e12) (e13)))).
% 83.65/83.83 intro zenon_D_pnotp.
% 83.65/83.83 apply zenon_H421.
% 83.65/83.83 rewrite <- zenon_D_pnotp.
% 83.65/83.83 exact zenon_H2bd.
% 83.65/83.83 cut (((op1 (e12) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2be].
% 83.65/83.83 cut (((op1 (e12) (e13)) = (op1 (op1 (e13) (e11)) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H41c].
% 83.65/83.83 congruence.
% 83.65/83.83 apply (zenon_L440_); trivial.
% 83.65/83.83 apply zenon_H2be. apply refl_equal.
% 83.65/83.83 apply zenon_H2be. apply refl_equal.
% 83.65/83.83 apply zenon_H28b. apply sym_equal. exact zenon_H184.
% 83.65/83.83 apply zenon_H2be. apply refl_equal.
% 83.65/83.83 apply zenon_H2be. apply refl_equal.
% 83.65/83.83 (* end of lemma zenon_L441_ *)
% 83.65/83.83 assert (zenon_L442_ : (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (op1 (e13) (e11)) (e11)) = (e13))) -> ((op1 (e13) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e11)) = (e11)) -> ((op1 (op1 (e13) (e11)) (e13)) = (e11)) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> False).
% 83.65/83.83 do 0 intro. intros zenon_H2e7 zenon_H419 zenon_H195 zenon_H1bf zenon_H41f zenon_H184 zenon_H41e zenon_H17 zenon_H14 zenon_H236.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H2e7); [ zenon_intro zenon_H197 | zenon_intro zenon_H2eb ].
% 83.65/83.83 apply (zenon_L439_); trivial.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H2ec ].
% 83.65/83.83 apply (zenon_L113_); trivial.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H198 | zenon_intro zenon_H235 ].
% 83.65/83.83 apply (zenon_L441_); trivial.
% 83.65/83.83 apply (zenon_L149_); trivial.
% 83.65/83.83 (* end of lemma zenon_L442_ *)
% 83.65/83.83 assert (zenon_L443_ : (~((op1 (e13) (op1 (e13) (e11))) = (e11))) -> ((op1 (e13) (e11)) = (e11)) -> False).
% 83.65/83.83 do 0 intro. intros zenon_H422 zenon_H1c0.
% 83.65/83.83 cut (((op1 (e13) (e11)) = (e11)) = ((op1 (e13) (op1 (e13) (e11))) = (e11))).
% 83.65/83.83 intro zenon_D_pnotp.
% 83.65/83.83 apply zenon_H422.
% 83.65/83.83 rewrite <- zenon_D_pnotp.
% 83.65/83.83 exact zenon_H1c0.
% 83.65/83.83 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H165].
% 83.65/83.83 cut (((op1 (e13) (e11)) = (op1 (e13) (op1 (e13) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H3c7].
% 83.65/83.83 congruence.
% 83.65/83.83 elim (classic ((op1 (e13) (op1 (e13) (e11))) = (op1 (e13) (op1 (e13) (e11))))); [ zenon_intro zenon_H423 | zenon_intro zenon_H424 ].
% 83.65/83.83 cut (((op1 (e13) (op1 (e13) (e11))) = (op1 (e13) (op1 (e13) (e11)))) = ((op1 (e13) (e11)) = (op1 (e13) (op1 (e13) (e11))))).
% 83.65/83.83 intro zenon_D_pnotp.
% 83.65/83.83 apply zenon_H3c7.
% 83.65/83.83 rewrite <- zenon_D_pnotp.
% 83.65/83.83 exact zenon_H423.
% 83.65/83.83 cut (((op1 (e13) (op1 (e13) (e11))) = (op1 (e13) (op1 (e13) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H424].
% 83.65/83.83 cut (((op1 (e13) (op1 (e13) (e11))) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H425].
% 83.65/83.83 congruence.
% 83.65/83.83 cut (((op1 (e13) (e11)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H3bf].
% 83.65/83.83 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H1f0].
% 83.65/83.83 congruence.
% 83.65/83.83 apply zenon_H1f0. apply refl_equal.
% 83.65/83.83 exact (zenon_H3bf zenon_H1c0).
% 83.65/83.83 apply zenon_H424. apply refl_equal.
% 83.65/83.83 apply zenon_H424. apply refl_equal.
% 83.65/83.83 apply zenon_H165. apply refl_equal.
% 83.65/83.83 (* end of lemma zenon_L443_ *)
% 83.65/83.83 assert (zenon_L444_ : (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e13) (e11)) (e13)) = (e11)) -> ((op1 (e13) (e11)) = (e12)) -> ((op1 (e13) (e13)) = (e11)) -> False).
% 83.65/83.83 do 0 intro. intros zenon_H426 zenon_H41e zenon_H198 zenon_H20b.
% 83.65/83.83 cut (((op1 (op1 (e13) (e11)) (e13)) = (e11)) = ((op1 (e12) (e13)) = (op1 (e13) (e13)))).
% 83.65/83.83 intro zenon_D_pnotp.
% 83.65/83.83 apply zenon_H426.
% 83.65/83.83 rewrite <- zenon_D_pnotp.
% 83.65/83.83 exact zenon_H41e.
% 83.65/83.83 cut (((e11) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H20c].
% 83.65/83.83 cut (((op1 (op1 (e13) (e11)) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H421].
% 83.65/83.83 congruence.
% 83.65/83.83 elim (classic ((op1 (e12) (e13)) = (op1 (e12) (e13)))); [ zenon_intro zenon_H2bd | zenon_intro zenon_H2be ].
% 83.65/83.83 cut (((op1 (e12) (e13)) = (op1 (e12) (e13))) = ((op1 (op1 (e13) (e11)) (e13)) = (op1 (e12) (e13)))).
% 83.65/83.83 intro zenon_D_pnotp.
% 83.65/83.83 apply zenon_H421.
% 83.65/83.83 rewrite <- zenon_D_pnotp.
% 83.65/83.83 exact zenon_H2bd.
% 83.65/83.83 cut (((op1 (e12) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2be].
% 83.65/83.83 cut (((op1 (e12) (e13)) = (op1 (op1 (e13) (e11)) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H41c].
% 83.65/83.83 congruence.
% 83.65/83.83 apply (zenon_L440_); trivial.
% 83.65/83.83 apply zenon_H2be. apply refl_equal.
% 83.65/83.83 apply zenon_H2be. apply refl_equal.
% 83.65/83.83 apply zenon_H20c. apply sym_equal. exact zenon_H20b.
% 83.65/83.83 (* end of lemma zenon_L444_ *)
% 83.65/83.83 assert (zenon_L445_ : (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (op1 (e13) (e11)) (e11)) = (e13))) -> (~((op1 (e13) (op1 (e13) (e11))) = (e11))) -> ((op1 (e13) (e13)) = (e11)) -> ((op1 (op1 (e13) (e11)) (e13)) = (e11)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> False).
% 83.65/83.83 do 0 intro. intros zenon_H2e7 zenon_H419 zenon_H422 zenon_H20b zenon_H41e zenon_H426 zenon_H17 zenon_H14 zenon_H236.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H2e7); [ zenon_intro zenon_H197 | zenon_intro zenon_H2eb ].
% 83.65/83.83 apply (zenon_L439_); trivial.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H2ec ].
% 83.65/83.83 apply (zenon_L443_); trivial.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H198 | zenon_intro zenon_H235 ].
% 83.65/83.83 apply (zenon_L444_); trivial.
% 83.65/83.83 apply (zenon_L149_); trivial.
% 83.65/83.83 (* end of lemma zenon_L445_ *)
% 83.65/83.83 assert (zenon_L446_ : (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((op1 (e12) (e11)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (op1 (e13) (e11)) (e11)) = (e13))) -> (~((op1 (e13) (op1 (e13) (e11))) = (e11))) -> ((op1 (op1 (e13) (e11)) (e13)) = (e11)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> False).
% 83.65/83.83 do 0 intro. intros zenon_H20d zenon_H184 zenon_H41f zenon_H1bf zenon_H204 zenon_H2c zenon_H2e7 zenon_H419 zenon_H422 zenon_H41e zenon_H426 zenon_H17 zenon_H14 zenon_H236.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H195 | zenon_intro zenon_H20e ].
% 83.65/83.83 apply (zenon_L442_); trivial.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H20f ].
% 83.65/83.83 apply (zenon_L443_); trivial.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H203 | zenon_intro zenon_H20b ].
% 83.65/83.83 apply (zenon_L133_); trivial.
% 83.65/83.83 apply (zenon_L445_); trivial.
% 83.65/83.83 (* end of lemma zenon_L446_ *)
% 83.65/83.83 assert (zenon_L447_ : (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((e10) = (e11))) -> ((op1 (e11) (e11)) = (e10)) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e13) (e11)) (e13)) = (e11)) -> (~((op1 (op1 (e13) (e11)) (e11)) = (e13))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (op1 (e13) (e11))) = (e11))) -> False).
% 83.65/83.83 do 0 intro. intros zenon_H1c9 zenon_H1e zenon_H163 zenon_H177 zenon_H236 zenon_H14 zenon_H17 zenon_H426 zenon_H41e zenon_H419 zenon_H2e7 zenon_H2c zenon_H204 zenon_H1bf zenon_H41f zenon_H20d zenon_H422.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H34 | zenon_intro zenon_H1cc ].
% 83.65/83.83 apply (zenon_L9_); trivial.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H17e | zenon_intro zenon_H1cd ].
% 83.65/83.83 apply (zenon_L180_); trivial.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H184 | zenon_intro zenon_H1c0 ].
% 83.65/83.83 apply (zenon_L446_); trivial.
% 83.65/83.83 apply (zenon_L443_); trivial.
% 83.65/83.83 (* end of lemma zenon_L447_ *)
% 83.65/83.83 assert (zenon_L448_ : (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e13) (op1 (e13) (e11))) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (op1 (e13) (e11)) (e13)) = (e11)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> ((op1 (e12) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (op1 (e13) (e11)) (e11)) = (e13))) -> False).
% 83.65/83.83 do 0 intro. intros zenon_H1c8 zenon_H25 zenon_H42 zenon_H422 zenon_H20d zenon_H41f zenon_H1bf zenon_H204 zenon_H2c zenon_H2e7 zenon_H41e zenon_H426 zenon_H236 zenon_H163 zenon_H1e zenon_H1c9 zenon_H1ff zenon_H2cd zenon_H17 zenon_H14 zenon_H419.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H43 | zenon_intro zenon_H1ca ].
% 83.65/83.83 apply (zenon_L12_); trivial.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H177 | zenon_intro zenon_H1cb ].
% 83.65/83.83 apply (zenon_L447_); trivial.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H181 | zenon_intro zenon_H197 ].
% 83.65/83.83 apply (zenon_L218_); trivial.
% 83.65/83.83 apply (zenon_L439_); trivial.
% 83.65/83.83 (* end of lemma zenon_L448_ *)
% 83.65/83.83 assert (zenon_L449_ : ((op1 (op1 (e13) (e11)) (e13)) = (e11)) -> ((op1 (e13) (e11)) = (e12)) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> False).
% 83.65/83.83 do 0 intro. intros zenon_H41e zenon_H198 zenon_H16c zenon_H427.
% 83.65/83.83 elim (classic ((op1 (e12) (e13)) = (op1 (e12) (e13)))); [ zenon_intro zenon_H2bd | zenon_intro zenon_H2be ].
% 83.65/83.83 cut (((op1 (e12) (e13)) = (op1 (e12) (e13))) = ((op1 (e12) (e10)) = (op1 (e12) (e13)))).
% 83.65/83.83 intro zenon_D_pnotp.
% 83.65/83.83 apply zenon_H427.
% 83.65/83.83 rewrite <- zenon_D_pnotp.
% 83.65/83.83 exact zenon_H2bd.
% 83.65/83.83 cut (((op1 (e12) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2be].
% 83.65/83.83 cut (((op1 (e12) (e13)) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H428].
% 83.65/83.83 congruence.
% 83.65/83.83 cut (((op1 (op1 (e13) (e11)) (e13)) = (e11)) = ((op1 (e12) (e13)) = (op1 (e12) (e10)))).
% 83.65/83.83 intro zenon_D_pnotp.
% 83.65/83.83 apply zenon_H428.
% 83.65/83.83 rewrite <- zenon_D_pnotp.
% 83.65/83.83 exact zenon_H41e.
% 83.65/83.83 cut (((e11) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H171].
% 83.65/83.83 cut (((op1 (op1 (e13) (e11)) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H421].
% 83.65/83.83 congruence.
% 83.65/83.83 elim (classic ((op1 (e12) (e13)) = (op1 (e12) (e13)))); [ zenon_intro zenon_H2bd | zenon_intro zenon_H2be ].
% 83.65/83.83 cut (((op1 (e12) (e13)) = (op1 (e12) (e13))) = ((op1 (op1 (e13) (e11)) (e13)) = (op1 (e12) (e13)))).
% 83.65/83.83 intro zenon_D_pnotp.
% 83.65/83.83 apply zenon_H421.
% 83.65/83.83 rewrite <- zenon_D_pnotp.
% 83.65/83.83 exact zenon_H2bd.
% 83.65/83.83 cut (((op1 (e12) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2be].
% 83.65/83.83 cut (((op1 (e12) (e13)) = (op1 (op1 (e13) (e11)) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H41c].
% 83.65/83.83 congruence.
% 83.65/83.83 apply (zenon_L440_); trivial.
% 83.65/83.83 apply zenon_H2be. apply refl_equal.
% 83.65/83.83 apply zenon_H2be. apply refl_equal.
% 83.65/83.83 apply zenon_H171. apply sym_equal. exact zenon_H16c.
% 83.65/83.83 apply zenon_H2be. apply refl_equal.
% 83.65/83.83 apply zenon_H2be. apply refl_equal.
% 83.65/83.83 (* end of lemma zenon_L449_ *)
% 83.65/83.83 assert (zenon_L450_ : (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (op1 (e13) (e11)) (e11)) = (e13))) -> (~((op1 (e13) (op1 (e13) (e11))) = (e11))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e10)) = (e11)) -> ((op1 (op1 (e13) (e11)) (e13)) = (e11)) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> False).
% 83.65/83.83 do 0 intro. intros zenon_H2e7 zenon_H419 zenon_H422 zenon_H427 zenon_H16c zenon_H41e zenon_H17 zenon_H14 zenon_H236.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H2e7); [ zenon_intro zenon_H197 | zenon_intro zenon_H2eb ].
% 83.65/83.83 apply (zenon_L439_); trivial.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H2ec ].
% 83.65/83.83 apply (zenon_L443_); trivial.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H198 | zenon_intro zenon_H235 ].
% 83.65/83.83 apply (zenon_L449_); trivial.
% 83.65/83.83 apply (zenon_L149_); trivial.
% 83.65/83.83 (* end of lemma zenon_L450_ *)
% 83.65/83.83 assert (zenon_L451_ : (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((op1 (op1 (e13) (e11)) (e13)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (op1 (e13) (e11))) = (e11))) -> (~((op1 (op1 (e13) (e11)) (e11)) = (e13))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e12)) = (e13)) -> False).
% 83.65/83.83 do 0 intro. intros zenon_H35d zenon_H2cd zenon_H1c9 zenon_H1e zenon_H163 zenon_H426 zenon_H204 zenon_H1bf zenon_H41f zenon_H20d zenon_H42 zenon_H25 zenon_H1c8 zenon_H236 zenon_H14 zenon_H17 zenon_H41e zenon_H427 zenon_H422 zenon_H419 zenon_H2e7 zenon_H18e zenon_H2c zenon_H1d8 zenon_H1da.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H35d); [ zenon_intro zenon_H1ff | zenon_intro zenon_H35e ].
% 83.65/83.83 apply (zenon_L448_); trivial.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H35e); [ zenon_intro zenon_H16c | zenon_intro zenon_H35f ].
% 83.65/83.83 apply (zenon_L450_); trivial.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H18d | zenon_intro zenon_H1d9 ].
% 83.65/83.83 apply (zenon_L101_); trivial.
% 83.65/83.83 apply (zenon_L118_); trivial.
% 83.65/83.83 (* end of lemma zenon_L451_ *)
% 83.65/83.83 assert (zenon_L452_ : ((op1 (op1 (e13) (e11)) (e13)) = (e11)) -> ((op1 (e13) (e11)) = (e12)) -> ((op1 (e11) (e13)) = (e11)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> False).
% 83.65/83.83 do 0 intro. intros zenon_H41e zenon_H198 zenon_H1eb zenon_H1e4.
% 83.65/83.83 elim (classic ((op1 (e12) (e13)) = (op1 (e12) (e13)))); [ zenon_intro zenon_H2bd | zenon_intro zenon_H2be ].
% 83.65/83.83 cut (((op1 (e12) (e13)) = (op1 (e12) (e13))) = ((op1 (e11) (e13)) = (op1 (e12) (e13)))).
% 83.65/83.83 intro zenon_D_pnotp.
% 83.65/83.83 apply zenon_H1e4.
% 83.65/83.83 rewrite <- zenon_D_pnotp.
% 83.65/83.83 exact zenon_H2bd.
% 83.65/83.83 cut (((op1 (e12) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2be].
% 83.65/83.83 cut (((op1 (e12) (e13)) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H429].
% 83.65/83.83 congruence.
% 83.65/83.83 cut (((op1 (op1 (e13) (e11)) (e13)) = (e11)) = ((op1 (e12) (e13)) = (op1 (e11) (e13)))).
% 83.65/83.83 intro zenon_D_pnotp.
% 83.65/83.83 apply zenon_H429.
% 83.65/83.83 rewrite <- zenon_D_pnotp.
% 83.65/83.83 exact zenon_H41e.
% 83.65/83.83 cut (((e11) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H33c].
% 83.65/83.83 cut (((op1 (op1 (e13) (e11)) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H421].
% 83.65/83.83 congruence.
% 83.65/83.83 elim (classic ((op1 (e12) (e13)) = (op1 (e12) (e13)))); [ zenon_intro zenon_H2bd | zenon_intro zenon_H2be ].
% 83.65/83.83 cut (((op1 (e12) (e13)) = (op1 (e12) (e13))) = ((op1 (op1 (e13) (e11)) (e13)) = (op1 (e12) (e13)))).
% 83.65/83.83 intro zenon_D_pnotp.
% 83.65/83.83 apply zenon_H421.
% 83.65/83.83 rewrite <- zenon_D_pnotp.
% 83.65/83.83 exact zenon_H2bd.
% 83.65/83.83 cut (((op1 (e12) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2be].
% 83.65/83.83 cut (((op1 (e12) (e13)) = (op1 (op1 (e13) (e11)) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H41c].
% 83.65/83.83 congruence.
% 83.65/83.83 apply (zenon_L440_); trivial.
% 83.65/83.83 apply zenon_H2be. apply refl_equal.
% 83.65/83.83 apply zenon_H2be. apply refl_equal.
% 83.65/83.83 apply zenon_H33c. apply sym_equal. exact zenon_H1eb.
% 83.65/83.83 apply zenon_H2be. apply refl_equal.
% 83.65/83.83 apply zenon_H2be. apply refl_equal.
% 83.65/83.83 (* end of lemma zenon_L452_ *)
% 83.65/83.83 assert (zenon_L453_ : (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (op1 (e13) (e11)) (e11)) = (e13))) -> ((op1 (e13) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e13)) = (e11)) -> ((op1 (op1 (e13) (e11)) (e13)) = (e11)) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> False).
% 83.65/83.83 do 0 intro. intros zenon_H2e7 zenon_H419 zenon_H195 zenon_H1bf zenon_H1e4 zenon_H1eb zenon_H41e zenon_H17 zenon_H14 zenon_H236.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H2e7); [ zenon_intro zenon_H197 | zenon_intro zenon_H2eb ].
% 83.65/83.83 apply (zenon_L439_); trivial.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H2ec ].
% 83.65/83.83 apply (zenon_L113_); trivial.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H198 | zenon_intro zenon_H235 ].
% 83.65/83.83 apply (zenon_L452_); trivial.
% 83.65/83.83 apply (zenon_L149_); trivial.
% 83.65/83.83 (* end of lemma zenon_L453_ *)
% 83.65/83.83 assert (zenon_L454_ : (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((op1 (op1 (e13) (e11)) (e13)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e10)) = (e11)) -> (~((op1 (op1 (e13) (e11)) (e11)) = (e13))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (e12) (e13)) = (e12)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e13)) = (e13)) -> False).
% 83.65/83.83 do 0 intro. intros zenon_H340 zenon_H42 zenon_H45 zenon_H236 zenon_H14 zenon_H17 zenon_H41e zenon_H1bf zenon_H195 zenon_H419 zenon_H2e7 zenon_H1b4 zenon_H1e4 zenon_H363.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H340); [ zenon_intro zenon_H46 | zenon_intro zenon_H341 ].
% 83.65/83.83 apply (zenon_L13_); trivial.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H341); [ zenon_intro zenon_H1eb | zenon_intro zenon_H342 ].
% 83.65/83.83 apply (zenon_L453_); trivial.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H342); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H259 ].
% 83.65/83.83 apply (zenon_L122_); trivial.
% 83.65/83.83 apply (zenon_L294_); trivial.
% 83.65/83.83 (* end of lemma zenon_L454_ *)
% 83.65/83.83 assert (zenon_L455_ : (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((op1 (e12) (e13)) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e13)) = (e12)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e10) (e13)) = (e10)) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (op1 (e13) (e11)) (e11)) = (e13))) -> (~((op1 (e13) (op1 (e13) (e11))) = (e11))) -> ((op1 (op1 (e13) (e11)) (e13)) = (e11)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> False).
% 83.65/83.83 do 0 intro. intros zenon_H20d zenon_H363 zenon_H1e4 zenon_H1b4 zenon_H1bf zenon_H45 zenon_H42 zenon_H340 zenon_H204 zenon_H2c zenon_H2e7 zenon_H419 zenon_H422 zenon_H41e zenon_H426 zenon_H17 zenon_H14 zenon_H236.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H195 | zenon_intro zenon_H20e ].
% 83.65/83.83 apply (zenon_L454_); trivial.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H20f ].
% 83.65/83.83 apply (zenon_L443_); trivial.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H203 | zenon_intro zenon_H20b ].
% 83.65/83.83 apply (zenon_L133_); trivial.
% 83.65/83.83 apply (zenon_L445_); trivial.
% 83.65/83.83 (* end of lemma zenon_L455_ *)
% 83.65/83.83 assert (zenon_L456_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e13) (e11)) (e13)) = (e11)) -> (~((op1 (e13) (op1 (e13) (e11))) = (e11))) -> (~((op1 (op1 (e13) (e11)) (e11)) = (e13))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e12) (e13)) = (e12)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e13)) = (e13)) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 83.65/83.83 do 0 intro. intros zenon_H56 zenon_H236 zenon_H426 zenon_H41e zenon_H422 zenon_H419 zenon_H2e7 zenon_H204 zenon_H340 zenon_H1bf zenon_H1b4 zenon_H1e4 zenon_H363 zenon_H20d zenon_H45 zenon_H50 zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H2c zenon_H17 zenon_H14 zenon_H25.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H42 | zenon_intro zenon_H57 ].
% 83.65/83.83 apply (zenon_L455_); trivial.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H57); [ zenon_intro zenon_H46 | zenon_intro zenon_H58 ].
% 83.65/83.83 apply (zenon_L15_); trivial.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H51 | zenon_intro zenon_H54 ].
% 83.65/83.83 apply (zenon_L17_); trivial.
% 83.65/83.83 apply (zenon_L19_); trivial.
% 83.65/83.83 (* end of lemma zenon_L456_ *)
% 83.65/83.83 assert (zenon_L457_ : (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e11)) = (e10)) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e13) (e11)) (e13)) = (e11)) -> (~((op1 (e13) (op1 (e13) (e11))) = (e11))) -> (~((op1 (op1 (e13) (e11)) (e11)) = (e13))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e12) (e13)) = (e12)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 83.65/83.83 do 0 intro. intros zenon_H365 zenon_H1a5 zenon_H1a6 zenon_H187 zenon_H1d4 zenon_H181 zenon_H1dc zenon_H230 zenon_H35d zenon_H2cd zenon_H1c9 zenon_H1e zenon_H163 zenon_H41f zenon_H1c8 zenon_H427 zenon_H18e zenon_H1d8 zenon_H56 zenon_H236 zenon_H426 zenon_H41e zenon_H422 zenon_H419 zenon_H2e7 zenon_H204 zenon_H340 zenon_H1bf zenon_H1b4 zenon_H1e4 zenon_H20d zenon_H45 zenon_H50 zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H2c zenon_H17 zenon_H14 zenon_H25.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H365); [ zenon_intro zenon_H1d9 | zenon_intro zenon_H366 ].
% 83.65/83.83 apply (zenon_L119_); trivial.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H366); [ zenon_intro zenon_H22f | zenon_intro zenon_H367 ].
% 83.65/83.83 apply (zenon_L148_); trivial.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H367); [ zenon_intro zenon_H1da | zenon_intro zenon_H363 ].
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H42 | zenon_intro zenon_H57 ].
% 83.65/83.83 apply (zenon_L451_); trivial.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H57); [ zenon_intro zenon_H46 | zenon_intro zenon_H58 ].
% 83.65/83.83 apply (zenon_L15_); trivial.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H51 | zenon_intro zenon_H54 ].
% 83.65/83.83 apply (zenon_L17_); trivial.
% 83.65/83.83 apply (zenon_L19_); trivial.
% 83.65/83.83 apply (zenon_L456_); trivial.
% 83.65/83.83 (* end of lemma zenon_L457_ *)
% 83.65/83.83 assert (zenon_L458_ : (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e11)) = (e10)) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e13) (e11)) (e13)) = (e11)) -> (~((op1 (e13) (op1 (e13) (e11))) = (e11))) -> (~((op1 (op1 (e13) (e11)) (e11)) = (e13))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 83.65/83.83 do 0 intro. intros zenon_H1b6 zenon_H3f zenon_H365 zenon_H1a5 zenon_H1a6 zenon_H187 zenon_H1d4 zenon_H181 zenon_H1dc zenon_H230 zenon_H35d zenon_H2cd zenon_H1c9 zenon_H1e zenon_H163 zenon_H41f zenon_H1c8 zenon_H427 zenon_H18e zenon_H1d8 zenon_H56 zenon_H236 zenon_H426 zenon_H41e zenon_H422 zenon_H419 zenon_H2e7 zenon_H204 zenon_H340 zenon_H1bf zenon_H1e4 zenon_H20d zenon_H45 zenon_H50 zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H2c zenon_H17 zenon_H14 zenon_H25.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H18d | zenon_intro zenon_H1b7 ].
% 83.65/83.83 apply (zenon_L101_); trivial.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H182 | zenon_intro zenon_H1b8 ].
% 83.65/83.83 apply (zenon_L98_); trivial.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1b4 ].
% 83.65/83.83 apply (zenon_L106_); trivial.
% 83.65/83.83 apply (zenon_L457_); trivial.
% 83.65/83.83 (* end of lemma zenon_L458_ *)
% 83.65/83.83 assert (zenon_L459_ : (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((e11) = (e12))) -> ((op1 (e11) (e11)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (op1 (e13) (e11)) (e11)) = (e13))) -> (~((op1 (e13) (op1 (e13) (e11))) = (e11))) -> ((op1 (op1 (e13) (e11)) (e13)) = (e11)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e10) = (e12))) -> ((op1 (e12) (e11)) = (e10)) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e12) (op1 (e10) (e10))) = (e12))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> False).
% 83.65/83.83 do 0 intro. intros zenon_H1e8 zenon_H1cf zenon_H2e zenon_H17e zenon_H25 zenon_H14 zenon_H17 zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H50 zenon_H45 zenon_H20d zenon_H1bf zenon_H340 zenon_H204 zenon_H2e7 zenon_H419 zenon_H422 zenon_H41e zenon_H426 zenon_H236 zenon_H56 zenon_H1d8 zenon_H427 zenon_H1c8 zenon_H41f zenon_H163 zenon_H1e zenon_H1c9 zenon_H2cd zenon_H35d zenon_H230 zenon_H1dc zenon_H1d4 zenon_H187 zenon_H1a5 zenon_H365 zenon_H1b6 zenon_H18e zenon_H3f zenon_H181 zenon_H2c zenon_H1e0 zenon_H1e4.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1ce | zenon_intro zenon_H1e9 ].
% 83.65/83.83 apply (zenon_L116_); trivial.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H17f | zenon_intro zenon_H1ea ].
% 83.65/83.83 apply (zenon_L97_); trivial.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1e5 ].
% 83.65/83.83 apply (zenon_L458_); trivial.
% 83.65/83.83 apply (zenon_L123_); trivial.
% 83.65/83.83 (* end of lemma zenon_L459_ *)
% 83.65/83.83 assert (zenon_L460_ : (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (op1 (e10) (e10))) = (e12))) -> ((op1 (e12) (e11)) = (e10)) -> (~((e10) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((e10) = (e11))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e13) (e11)) (e13)) = (e11)) -> (~((op1 (op1 (e13) (e11)) (e11)) = (e13))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (op1 (e13) (e11))) = (e11))) -> False).
% 83.65/83.83 do 0 intro. intros zenon_H1e4 zenon_H1e0 zenon_H181 zenon_H3f zenon_H18e zenon_H1b6 zenon_H365 zenon_H1a5 zenon_H187 zenon_H1d4 zenon_H1dc zenon_H230 zenon_H35d zenon_H2cd zenon_H1c9 zenon_H1e zenon_H163 zenon_H1c8 zenon_H427 zenon_H1d8 zenon_H56 zenon_H340 zenon_H45 zenon_H50 zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H25 zenon_H2e zenon_H1cf zenon_H1e8 zenon_H236 zenon_H14 zenon_H17 zenon_H426 zenon_H41e zenon_H419 zenon_H2e7 zenon_H2c zenon_H204 zenon_H1bf zenon_H41f zenon_H20d zenon_H422.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H34 | zenon_intro zenon_H1cc ].
% 83.65/83.83 apply (zenon_L9_); trivial.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H17e | zenon_intro zenon_H1cd ].
% 83.65/83.83 apply (zenon_L459_); trivial.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H184 | zenon_intro zenon_H1c0 ].
% 83.65/83.83 apply (zenon_L446_); trivial.
% 83.65/83.83 apply (zenon_L443_); trivial.
% 83.65/83.83 (* end of lemma zenon_L460_ *)
% 83.65/83.83 assert (zenon_L461_ : (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((op1 (e12) (e10)) = (op1 (e10) (e12))) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (op1 (e13) (e11)) (e11)) = (e13))) -> (~((op1 (e13) (op1 (e13) (e11))) = (e11))) -> ((op1 (op1 (e13) (e11)) (e13)) = (e11)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> False).
% 83.65/83.83 do 0 intro. intros zenon_H20d zenon_H245 zenon_H244 zenon_H16d zenon_H204 zenon_H2c zenon_H2e7 zenon_H419 zenon_H422 zenon_H41e zenon_H426 zenon_H17 zenon_H14 zenon_H236.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H195 | zenon_intro zenon_H20e ].
% 83.65/83.83 apply (zenon_L153_); trivial.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H20f ].
% 83.65/83.83 apply (zenon_L443_); trivial.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H203 | zenon_intro zenon_H20b ].
% 83.65/83.83 apply (zenon_L133_); trivial.
% 83.65/83.83 apply (zenon_L445_); trivial.
% 83.65/83.83 (* end of lemma zenon_L461_ *)
% 83.65/83.83 assert (zenon_L462_ : (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (e13) (e10)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (op1 (e13) (e11))) = (e11))) -> ((op1 (op1 (e13) (e11)) (e13)) = (e11)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> False).
% 83.65/83.83 do 0 intro. intros zenon_H20d zenon_H163 zenon_H204 zenon_H2c zenon_H2e7 zenon_H194 zenon_H1bf zenon_H422 zenon_H41e zenon_H426 zenon_H17 zenon_H14 zenon_H236.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H195 | zenon_intro zenon_H20e ].
% 83.65/83.83 apply (zenon_L102_); trivial.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H20f ].
% 83.65/83.83 apply (zenon_L443_); trivial.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H203 | zenon_intro zenon_H20b ].
% 83.65/83.83 apply (zenon_L133_); trivial.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H2e7); [ zenon_intro zenon_H197 | zenon_intro zenon_H2eb ].
% 83.65/83.83 apply (zenon_L247_); trivial.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H2ec ].
% 83.65/83.83 apply (zenon_L443_); trivial.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H198 | zenon_intro zenon_H235 ].
% 83.65/83.83 apply (zenon_L444_); trivial.
% 83.65/83.83 apply (zenon_L149_); trivial.
% 83.65/83.83 (* end of lemma zenon_L462_ *)
% 83.65/83.83 assert (zenon_L463_ : (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (op1 (e13) (e11))) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (op1 (e13) (e11)) (e13)) = (e11)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> ((op1 (e10) (e11)) = (op1 (e11) (e10))) -> ((op1 (e11) (e10)) = (e10)) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (op1 (e13) (e11)) (e11)) = (e13))) -> False).
% 83.65/83.83 do 0 intro. intros zenon_H1c8 zenon_H25 zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H50 zenon_H45 zenon_H56 zenon_H422 zenon_H20d zenon_H41f zenon_H1bf zenon_H204 zenon_H2c zenon_H2e7 zenon_H41e zenon_H426 zenon_H236 zenon_H163 zenon_H1e zenon_H1c9 zenon_H260 zenon_H161 zenon_H230 zenon_H17 zenon_H14 zenon_H419.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H43 | zenon_intro zenon_H1ca ].
% 83.65/83.83 apply (zenon_L20_); trivial.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H177 | zenon_intro zenon_H1cb ].
% 83.65/83.83 apply (zenon_L447_); trivial.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H181 | zenon_intro zenon_H197 ].
% 83.65/83.83 apply (zenon_L166_); trivial.
% 83.65/83.83 apply (zenon_L439_); trivial.
% 83.65/83.83 (* end of lemma zenon_L463_ *)
% 83.65/83.83 assert (zenon_L464_ : (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e13) (e11)) (e13)) = (e11)) -> (~((op1 (e13) (op1 (e13) (e11))) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (op1 (e13) (e11)) (e11)) = (e13))) -> ((op1 (e11) (e12)) = (e10)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 83.65/83.83 do 0 intro. intros zenon_H1b0 zenon_H236 zenon_H426 zenon_H41e zenon_H422 zenon_H1bf zenon_H2e7 zenon_H204 zenon_H163 zenon_H20d zenon_H419 zenon_H19b zenon_H19a zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H2c zenon_H17 zenon_H14 zenon_H25.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H194 | zenon_intro zenon_H1b1 ].
% 83.65/83.83 apply (zenon_L462_); trivial.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H197 | zenon_intro zenon_H1b2 ].
% 83.65/83.83 apply (zenon_L439_); trivial.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H19c | zenon_intro zenon_H54 ].
% 83.65/83.83 apply (zenon_L104_); trivial.
% 83.65/83.83 apply (zenon_L19_); trivial.
% 83.65/83.83 (* end of lemma zenon_L464_ *)
% 83.65/83.83 assert (zenon_L465_ : (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e10) = (e12))) -> ((op1 (e12) (e11)) = (e10)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (op1 (e13) (e11)) (e11)) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (op1 (e13) (e11))) = (e11))) -> ((op1 (op1 (e13) (e11)) (e13)) = (e11)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e13)) = (e12)) -> False).
% 83.65/83.83 do 0 intro. intros zenon_H1b6 zenon_H18e zenon_H3f zenon_H181 zenon_H25 zenon_H14 zenon_H17 zenon_H2c zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H1ad zenon_H19a zenon_H1a0 zenon_H1a5 zenon_H1a9 zenon_H1aa zenon_H419 zenon_H20d zenon_H163 zenon_H204 zenon_H2e7 zenon_H1bf zenon_H422 zenon_H41e zenon_H426 zenon_H236 zenon_H1b0 zenon_H1e4 zenon_H1e5.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H18d | zenon_intro zenon_H1b7 ].
% 83.65/83.83 apply (zenon_L101_); trivial.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H182 | zenon_intro zenon_H1b8 ].
% 83.65/83.83 apply (zenon_L98_); trivial.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1b4 ].
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H194 | zenon_intro zenon_H1b1 ].
% 83.65/83.83 apply (zenon_L462_); trivial.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H197 | zenon_intro zenon_H1b2 ].
% 83.65/83.83 apply (zenon_L439_); trivial.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H19c | zenon_intro zenon_H54 ].
% 83.65/83.83 apply (zenon_L108_); trivial.
% 83.65/83.83 apply (zenon_L19_); trivial.
% 83.65/83.83 apply (zenon_L122_); trivial.
% 83.65/83.83 (* end of lemma zenon_L465_ *)
% 83.65/83.83 assert (zenon_L466_ : (~((op1 (op1 (e13) (e11)) (e11)) = (e13))) -> ((op1 (e12) (e11)) = (op1 (e11) (e12))) -> ((op1 (e13) (e11)) = (e12)) -> ((op1 (e11) (e12)) = (e13)) -> False).
% 83.65/83.83 do 0 intro. intros zenon_H419 zenon_H270 zenon_H198 zenon_H1ab.
% 83.65/83.83 cut (((op1 (e12) (e11)) = (op1 (e11) (e12))) = ((op1 (op1 (e13) (e11)) (e11)) = (e13))).
% 83.65/83.83 intro zenon_D_pnotp.
% 83.65/83.83 apply zenon_H419.
% 83.65/83.83 rewrite <- zenon_D_pnotp.
% 83.65/83.83 exact zenon_H270.
% 83.65/83.83 cut (((op1 (e11) (e12)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H251].
% 83.65/83.83 cut (((op1 (e12) (e11)) = (op1 (op1 (e13) (e11)) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H42a].
% 83.65/83.83 congruence.
% 83.65/83.83 elim (classic ((op1 (op1 (e13) (e11)) (e11)) = (op1 (op1 (e13) (e11)) (e11)))); [ zenon_intro zenon_H42b | zenon_intro zenon_H42c ].
% 83.65/83.83 cut (((op1 (op1 (e13) (e11)) (e11)) = (op1 (op1 (e13) (e11)) (e11))) = ((op1 (e12) (e11)) = (op1 (op1 (e13) (e11)) (e11)))).
% 83.65/83.83 intro zenon_D_pnotp.
% 83.65/83.83 apply zenon_H42a.
% 83.65/83.83 rewrite <- zenon_D_pnotp.
% 83.65/83.83 exact zenon_H42b.
% 83.65/83.83 cut (((op1 (op1 (e13) (e11)) (e11)) = (op1 (op1 (e13) (e11)) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H42c].
% 83.65/83.83 cut (((op1 (op1 (e13) (e11)) (e11)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H42d].
% 83.65/83.83 congruence.
% 83.65/83.83 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H165].
% 83.65/83.83 cut (((op1 (e13) (e11)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H199].
% 83.65/83.83 congruence.
% 83.65/83.83 exact (zenon_H199 zenon_H198).
% 83.65/83.83 apply zenon_H165. apply refl_equal.
% 83.65/83.83 apply zenon_H42c. apply refl_equal.
% 83.65/83.83 apply zenon_H42c. apply refl_equal.
% 83.65/83.83 exact (zenon_H251 zenon_H1ab).
% 83.65/83.83 (* end of lemma zenon_L466_ *)
% 83.65/83.83 assert (zenon_L467_ : (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (e13) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e11) (e12)) = (e13)) -> ((op1 (e12) (e11)) = (op1 (e11) (e12))) -> (~((op1 (op1 (e13) (e11)) (e11)) = (e13))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> False).
% 83.65/83.83 do 0 intro. intros zenon_H2e7 zenon_H195 zenon_H1bf zenon_H1ab zenon_H270 zenon_H419 zenon_H17 zenon_H14 zenon_H236.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H2e7); [ zenon_intro zenon_H197 | zenon_intro zenon_H2eb ].
% 83.65/83.83 apply (zenon_L439_); trivial.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H2ec ].
% 83.65/83.83 apply (zenon_L113_); trivial.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H198 | zenon_intro zenon_H235 ].
% 83.65/83.83 apply (zenon_L466_); trivial.
% 83.65/83.83 apply (zenon_L149_); trivial.
% 83.65/83.83 (* end of lemma zenon_L467_ *)
% 83.65/83.83 assert (zenon_L468_ : (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((op1 (e12) (e11)) = (op1 (e11) (e12))) -> ((op1 (e11) (e12)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (op1 (e13) (e11)) (e11)) = (e13))) -> (~((op1 (e13) (op1 (e13) (e11))) = (e11))) -> ((op1 (op1 (e13) (e11)) (e13)) = (e11)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> False).
% 83.65/83.83 do 0 intro. intros zenon_H20d zenon_H270 zenon_H1ab zenon_H1bf zenon_H204 zenon_H2c zenon_H2e7 zenon_H419 zenon_H422 zenon_H41e zenon_H426 zenon_H17 zenon_H14 zenon_H236.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H195 | zenon_intro zenon_H20e ].
% 83.65/83.83 apply (zenon_L467_); trivial.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H20f ].
% 83.65/83.83 apply (zenon_L443_); trivial.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H203 | zenon_intro zenon_H20b ].
% 83.65/83.83 apply (zenon_L133_); trivial.
% 83.65/83.83 apply (zenon_L445_); trivial.
% 83.65/83.83 (* end of lemma zenon_L468_ *)
% 83.65/83.83 assert (zenon_L469_ : (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((e11) = (e12))) -> ((op1 (e11) (e11)) = (e11)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((op1 (e12) (e11)) = (e10)) -> (~((e10) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e13) (e11)) (e13)) = (e11)) -> (~((op1 (e13) (op1 (e13) (e11))) = (e11))) -> (~((op1 (op1 (e13) (e11)) (e11)) = (e13))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e12) (e11)) = (op1 (e11) (e12))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e12) = (e13))) -> False).
% 83.65/83.83 do 0 intro. intros zenon_H1e8 zenon_H1cf zenon_H2e zenon_H17e zenon_H50 zenon_H45 zenon_H340 zenon_H56 zenon_H1d8 zenon_H427 zenon_H1c8 zenon_H41f zenon_H1e zenon_H1c9 zenon_H2cd zenon_H35d zenon_H230 zenon_H1dc zenon_H1d4 zenon_H187 zenon_H365 zenon_H25d zenon_H1e4 zenon_H1b0 zenon_H163 zenon_H1a9 zenon_H1a5 zenon_H1a0 zenon_H19a zenon_H1ad zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H25 zenon_H181 zenon_H3f zenon_H18e zenon_H1b6 zenon_H229 zenon_H236 zenon_H14 zenon_H17 zenon_H426 zenon_H41e zenon_H422 zenon_H419 zenon_H2e7 zenon_H2c zenon_H204 zenon_H1bf zenon_H270 zenon_H20d zenon_H25a.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1ce | zenon_intro zenon_H1e9 ].
% 83.65/83.83 apply (zenon_L116_); trivial.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H17f | zenon_intro zenon_H1ea ].
% 83.65/83.83 apply (zenon_L97_); trivial.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1e5 ].
% 83.65/83.83 apply (zenon_L458_); trivial.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H1aa | zenon_intro zenon_H25e ].
% 83.65/83.83 apply (zenon_L465_); trivial.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H228 | zenon_intro zenon_H25f ].
% 83.65/83.83 apply (zenon_L147_); trivial.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H25f); [ zenon_intro zenon_H1ab | zenon_intro zenon_H259 ].
% 83.65/83.83 apply (zenon_L468_); trivial.
% 83.65/83.83 apply (zenon_L162_); trivial.
% 83.65/83.83 (* end of lemma zenon_L469_ *)
% 83.65/83.83 assert (zenon_L470_ : (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((e11) = (e12))) -> ((op1 (e11) (e11)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (op1 (e13) (e11)) (e11)) = (e13))) -> (~((op1 (e13) (op1 (e13) (e11))) = (e11))) -> ((op1 (op1 (e13) (e11)) (e13)) = (e11)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((e12) = (op1 (e10) (e10))) -> (~((e10) = (e12))) -> ((op1 (e12) (e11)) = (e10)) -> (~((op1 (e12) (op1 (e11) (e13))) = (e12))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> False).
% 83.65/83.83 do 0 intro. intros zenon_H1e8 zenon_H1cf zenon_H2e zenon_H17e zenon_H25 zenon_H14 zenon_H17 zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H50 zenon_H45 zenon_H20d zenon_H1bf zenon_H340 zenon_H204 zenon_H2e7 zenon_H419 zenon_H422 zenon_H41e zenon_H426 zenon_H236 zenon_H56 zenon_H1d8 zenon_H427 zenon_H1c8 zenon_H41f zenon_H163 zenon_H1e zenon_H1c9 zenon_H2cd zenon_H35d zenon_H230 zenon_H1dc zenon_H1d4 zenon_H187 zenon_H1a5 zenon_H365 zenon_H1b6 zenon_H18e zenon_H2c zenon_H3f zenon_H181 zenon_H27d zenon_H1e4.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1ce | zenon_intro zenon_H1e9 ].
% 83.65/83.83 apply (zenon_L116_); trivial.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H17f | zenon_intro zenon_H1ea ].
% 83.65/83.83 apply (zenon_L97_); trivial.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1e5 ].
% 83.65/83.83 apply (zenon_L458_); trivial.
% 83.65/83.83 apply (zenon_L186_); trivial.
% 83.65/83.83 (* end of lemma zenon_L470_ *)
% 83.65/83.83 assert (zenon_L471_ : (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((op1 (op1 (e13) (e11)) (e13)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (op1 (e13) (e11))) = (e11))) -> (~((op1 (op1 (e13) (e11)) (e11)) = (e13))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (op1 (e12) (e10))) = (e10))) -> ((op1 (e10) (e13)) = (e10)) -> False).
% 83.65/83.83 do 0 intro. intros zenon_H35d zenon_H2cd zenon_H1c9 zenon_H1e zenon_H163 zenon_H426 zenon_H204 zenon_H1bf zenon_H41f zenon_H20d zenon_H25 zenon_H1c8 zenon_H236 zenon_H14 zenon_H17 zenon_H41e zenon_H427 zenon_H422 zenon_H419 zenon_H2e7 zenon_H18e zenon_H2c zenon_H28f zenon_H42.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H35d); [ zenon_intro zenon_H1ff | zenon_intro zenon_H35e ].
% 83.65/83.83 apply (zenon_L448_); trivial.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H35e); [ zenon_intro zenon_H16c | zenon_intro zenon_H35f ].
% 83.65/83.83 apply (zenon_L450_); trivial.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H35f); [ zenon_intro zenon_H18d | zenon_intro zenon_H1d9 ].
% 83.65/83.83 apply (zenon_L101_); trivial.
% 83.65/83.83 apply (zenon_L191_); trivial.
% 83.65/83.83 (* end of lemma zenon_L471_ *)
% 83.65/83.83 assert (zenon_L472_ : ((op1 (e11) (e12)) = (op1 (e12) (e11))) -> ((op1 (e11) (e12)) = (e13)) -> ((op1 (e13) (e11)) = (e12)) -> (~((op1 (op1 (e13) (e11)) (e11)) = (e13))) -> False).
% 83.65/83.83 do 0 intro. intros zenon_H29d zenon_H1ab zenon_H198 zenon_H419.
% 83.65/83.83 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H1ef | zenon_intro zenon_H1f0 ].
% 83.65/83.83 cut (((e13) = (e13)) = ((op1 (op1 (e13) (e11)) (e11)) = (e13))).
% 83.65/83.83 intro zenon_D_pnotp.
% 83.65/83.83 apply zenon_H419.
% 83.65/83.83 rewrite <- zenon_D_pnotp.
% 83.65/83.83 exact zenon_H1ef.
% 83.65/83.83 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H1f0].
% 83.65/83.83 cut (((e13) = (op1 (op1 (e13) (e11)) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H41a].
% 83.65/83.83 congruence.
% 83.65/83.83 cut (((op1 (e11) (e12)) = (op1 (e12) (e11))) = ((e13) = (op1 (op1 (e13) (e11)) (e11)))).
% 83.65/83.83 intro zenon_D_pnotp.
% 83.65/83.83 apply zenon_H41a.
% 83.65/83.83 rewrite <- zenon_D_pnotp.
% 83.65/83.83 exact zenon_H29d.
% 83.65/83.83 cut (((op1 (e12) (e11)) = (op1 (op1 (e13) (e11)) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H42a].
% 83.65/83.83 cut (((op1 (e11) (e12)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H251].
% 83.65/83.83 congruence.
% 83.65/83.83 exact (zenon_H251 zenon_H1ab).
% 83.65/83.83 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H165].
% 83.65/83.83 cut (((e12) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H41d].
% 83.65/83.83 congruence.
% 83.65/83.83 apply zenon_H41d. apply sym_equal. exact zenon_H198.
% 83.65/83.83 apply zenon_H165. apply refl_equal.
% 83.65/83.83 apply zenon_H1f0. apply refl_equal.
% 83.65/83.83 apply zenon_H1f0. apply refl_equal.
% 83.65/83.83 (* end of lemma zenon_L472_ *)
% 83.65/83.83 assert (zenon_L473_ : (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (e13) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (op1 (e13) (e11)) (e11)) = (e13))) -> ((op1 (e11) (e12)) = (e13)) -> ((op1 (e11) (e12)) = (op1 (e12) (e11))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> False).
% 83.65/83.83 do 0 intro. intros zenon_H2e7 zenon_H195 zenon_H1bf zenon_H419 zenon_H1ab zenon_H29d zenon_H17 zenon_H14 zenon_H236.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H2e7); [ zenon_intro zenon_H197 | zenon_intro zenon_H2eb ].
% 83.65/83.83 apply (zenon_L439_); trivial.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H2ec ].
% 83.65/83.83 apply (zenon_L113_); trivial.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H198 | zenon_intro zenon_H235 ].
% 83.65/83.83 apply (zenon_L472_); trivial.
% 83.65/83.83 apply (zenon_L149_); trivial.
% 83.65/83.83 (* end of lemma zenon_L473_ *)
% 83.65/83.83 assert (zenon_L474_ : (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((op1 (e13) (e12)) = (e10)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> ((op1 (e12) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (e13) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (op1 (e13) (e11)) (e11)) = (e13))) -> ((op1 (e11) (e12)) = (op1 (e12) (e11))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> False).
% 83.65/83.83 do 0 intro. intros zenon_H1ad zenon_H19c zenon_H19a zenon_H1a0 zenon_H2c zenon_H1a7 zenon_H1a5 zenon_H2e7 zenon_H195 zenon_H1bf zenon_H419 zenon_H29d zenon_H17 zenon_H14 zenon_H236.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H1ad); [ zenon_intro zenon_H19b | zenon_intro zenon_H1ae ].
% 83.65/83.83 apply (zenon_L104_); trivial.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H19f | zenon_intro zenon_H1af ].
% 83.65/83.83 apply (zenon_L105_); trivial.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1ab ].
% 83.65/83.83 apply (zenon_L106_); trivial.
% 83.65/83.83 apply (zenon_L473_); trivial.
% 83.65/83.83 (* end of lemma zenon_L474_ *)
% 83.65/83.83 assert (zenon_L475_ : (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e11) (e12)) = (op1 (e12) (e11))) -> (~((op1 (op1 (e13) (e11)) (e11)) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e10)) = (e11)) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e12)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 83.65/83.83 do 0 intro. intros zenon_H1b0 zenon_H163 zenon_H236 zenon_H29d zenon_H419 zenon_H1bf zenon_H195 zenon_H2e7 zenon_H1a5 zenon_H1a7 zenon_H1a0 zenon_H19a zenon_H1ad zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H2c zenon_H17 zenon_H14 zenon_H25.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H194 | zenon_intro zenon_H1b1 ].
% 83.65/83.83 apply (zenon_L102_); trivial.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H197 | zenon_intro zenon_H1b2 ].
% 83.65/83.83 apply (zenon_L439_); trivial.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H19c | zenon_intro zenon_H54 ].
% 83.65/83.83 apply (zenon_L474_); trivial.
% 83.65/83.83 apply (zenon_L19_); trivial.
% 83.65/83.83 (* end of lemma zenon_L475_ *)
% 83.65/83.83 assert (zenon_L476_ : (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e10) = (e12))) -> ((op1 (e12) (e11)) = (e10)) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e13) (e11)) (e13)) = (e11)) -> (~((op1 (e13) (op1 (e13) (e11))) = (e11))) -> (~((op1 (op1 (e13) (e11)) (e11)) = (e13))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e11))) -> ((op1 (e11) (e12)) = (op1 (e12) (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e13)) = (e12)) -> False).
% 83.65/83.83 do 0 intro. intros zenon_H1b6 zenon_H18e zenon_H3f zenon_H181 zenon_H236 zenon_H14 zenon_H17 zenon_H426 zenon_H41e zenon_H422 zenon_H419 zenon_H2e7 zenon_H2c zenon_H204 zenon_H1b0 zenon_H163 zenon_H29d zenon_H1bf zenon_H1a5 zenon_H1a0 zenon_H19a zenon_H1ad zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H25 zenon_H20d zenon_H1e4 zenon_H1e5.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H18d | zenon_intro zenon_H1b7 ].
% 83.65/83.83 apply (zenon_L101_); trivial.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H182 | zenon_intro zenon_H1b8 ].
% 83.65/83.83 apply (zenon_L98_); trivial.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1b4 ].
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H195 | zenon_intro zenon_H20e ].
% 83.65/83.83 apply (zenon_L475_); trivial.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H20f ].
% 83.65/83.83 apply (zenon_L443_); trivial.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H203 | zenon_intro zenon_H20b ].
% 83.65/83.83 apply (zenon_L133_); trivial.
% 83.65/83.83 apply (zenon_L445_); trivial.
% 83.65/83.83 apply (zenon_L122_); trivial.
% 83.65/83.83 (* end of lemma zenon_L476_ *)
% 83.65/83.83 assert (zenon_L477_ : (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((e11) = (e12))) -> ((op1 (e11) (e11)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (op1 (e13) (e11)) (e11)) = (e13))) -> (~((op1 (e13) (op1 (e13) (e11))) = (e11))) -> ((op1 (op1 (e13) (e11)) (e13)) = (e11)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> ((e12) = (op1 (e10) (e10))) -> (~((e10) = (e12))) -> ((op1 (e12) (e11)) = (e10)) -> (~((op1 (e12) (op1 (e12) (e12))) = (e12))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> False).
% 83.65/83.83 do 0 intro. intros zenon_H1e8 zenon_H1cf zenon_H2e zenon_H17e zenon_H25 zenon_H14 zenon_H17 zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H50 zenon_H45 zenon_H20d zenon_H1bf zenon_H340 zenon_H204 zenon_H2e7 zenon_H419 zenon_H422 zenon_H41e zenon_H426 zenon_H236 zenon_H56 zenon_H1d8 zenon_H427 zenon_H1c8 zenon_H41f zenon_H163 zenon_H1e zenon_H1c9 zenon_H2cd zenon_H35d zenon_H230 zenon_H1dc zenon_H1d4 zenon_H187 zenon_H1a5 zenon_H365 zenon_H1b6 zenon_H18e zenon_H2c zenon_H3f zenon_H181 zenon_H2ac zenon_H1e4.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1ce | zenon_intro zenon_H1e9 ].
% 83.65/83.83 apply (zenon_L116_); trivial.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H17f | zenon_intro zenon_H1ea ].
% 83.65/83.83 apply (zenon_L97_); trivial.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1e5 ].
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H18d | zenon_intro zenon_H1b7 ].
% 83.65/83.83 apply (zenon_L101_); trivial.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H182 | zenon_intro zenon_H1b8 ].
% 83.65/83.83 apply (zenon_L98_); trivial.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1b4 ].
% 83.65/83.83 apply (zenon_L200_); trivial.
% 83.65/83.83 apply (zenon_L457_); trivial.
% 83.65/83.83 apply (zenon_L201_); trivial.
% 83.65/83.83 (* end of lemma zenon_L477_ *)
% 83.65/83.83 assert (zenon_L478_ : (~((op1 (e13) (op1 (e13) (e11))) = (e11))) -> ((op1 (e13) (e12)) = (op1 (e12) (e13))) -> ((op1 (e13) (e11)) = (e12)) -> ((op1 (e12) (e13)) = (e11)) -> False).
% 83.65/83.83 do 0 intro. intros zenon_H422 zenon_H2bc zenon_H198 zenon_H1b3.
% 83.65/83.83 cut (((op1 (e13) (e12)) = (op1 (e12) (e13))) = ((op1 (e13) (op1 (e13) (e11))) = (e11))).
% 83.65/83.83 intro zenon_D_pnotp.
% 83.65/83.83 apply zenon_H422.
% 83.65/83.83 rewrite <- zenon_D_pnotp.
% 83.65/83.83 exact zenon_H2bc.
% 83.65/83.83 cut (((op1 (e12) (e13)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H3ed].
% 83.65/83.83 cut (((op1 (e13) (e12)) = (op1 (e13) (op1 (e13) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H42e].
% 83.65/83.83 congruence.
% 83.65/83.83 elim (classic ((op1 (e13) (op1 (e13) (e11))) = (op1 (e13) (op1 (e13) (e11))))); [ zenon_intro zenon_H423 | zenon_intro zenon_H424 ].
% 83.65/83.83 cut (((op1 (e13) (op1 (e13) (e11))) = (op1 (e13) (op1 (e13) (e11)))) = ((op1 (e13) (e12)) = (op1 (e13) (op1 (e13) (e11))))).
% 83.65/83.83 intro zenon_D_pnotp.
% 83.65/83.83 apply zenon_H42e.
% 83.65/83.83 rewrite <- zenon_D_pnotp.
% 83.65/83.83 exact zenon_H423.
% 83.65/83.83 cut (((op1 (e13) (op1 (e13) (e11))) = (op1 (e13) (op1 (e13) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H424].
% 83.65/83.83 cut (((op1 (e13) (op1 (e13) (e11))) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H42f].
% 83.65/83.83 congruence.
% 83.65/83.83 cut (((op1 (e13) (e11)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H199].
% 83.65/83.83 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H1f0].
% 83.65/83.83 congruence.
% 83.65/83.83 apply zenon_H1f0. apply refl_equal.
% 83.65/83.83 exact (zenon_H199 zenon_H198).
% 83.65/83.83 apply zenon_H424. apply refl_equal.
% 83.65/83.83 apply zenon_H424. apply refl_equal.
% 83.65/83.83 exact (zenon_H3ed zenon_H1b3).
% 83.65/83.83 (* end of lemma zenon_L478_ *)
% 83.65/83.83 assert (zenon_L479_ : (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (op1 (e13) (e11)) (e11)) = (e13))) -> ((op1 (e13) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e12) (e13)) = (e11)) -> ((op1 (e13) (e12)) = (op1 (e12) (e13))) -> (~((op1 (e13) (op1 (e13) (e11))) = (e11))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> False).
% 83.65/83.83 do 0 intro. intros zenon_H2e7 zenon_H419 zenon_H195 zenon_H1bf zenon_H1b3 zenon_H2bc zenon_H422 zenon_H17 zenon_H14 zenon_H236.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H2e7); [ zenon_intro zenon_H197 | zenon_intro zenon_H2eb ].
% 83.65/83.83 apply (zenon_L439_); trivial.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H2ec ].
% 83.65/83.83 apply (zenon_L113_); trivial.
% 83.65/83.83 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H198 | zenon_intro zenon_H235 ].
% 83.65/83.83 apply (zenon_L478_); trivial.
% 83.65/83.83 apply (zenon_L149_); trivial.
% 83.65/83.83 (* end of lemma zenon_L479_ *)
% 83.65/83.83 assert (zenon_L480_ : (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e11)) = (e10)) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e10) (e13)) = (e10)) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (op1 (e13) (e11)) (e11)) = (e13))) -> (~((op1 (e13) (op1 (e13) (e11))) = (e11))) -> ((op1 (op1 (e13) (e11)) (e13)) = (e11)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> False).
% 83.65/83.84 do 0 intro. intros zenon_H1b6 zenon_H3f zenon_H365 zenon_H1a5 zenon_H1a6 zenon_H187 zenon_H1d4 zenon_H181 zenon_H1dc zenon_H230 zenon_H1d8 zenon_H18e zenon_H427 zenon_H1c8 zenon_H25 zenon_H41f zenon_H163 zenon_H1e zenon_H1c9 zenon_H2cd zenon_H35d zenon_H20d zenon_H1e4 zenon_H1bf zenon_H45 zenon_H42 zenon_H340 zenon_H204 zenon_H2c zenon_H2e7 zenon_H419 zenon_H422 zenon_H41e zenon_H426 zenon_H17 zenon_H14 zenon_H236.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H18d | zenon_intro zenon_H1b7 ].
% 83.65/83.84 apply (zenon_L101_); trivial.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H182 | zenon_intro zenon_H1b8 ].
% 83.65/83.84 apply (zenon_L98_); trivial.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1b4 ].
% 83.65/83.84 apply (zenon_L106_); trivial.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H365); [ zenon_intro zenon_H1d9 | zenon_intro zenon_H366 ].
% 83.65/83.84 apply (zenon_L119_); trivial.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H366); [ zenon_intro zenon_H22f | zenon_intro zenon_H367 ].
% 83.65/83.84 apply (zenon_L148_); trivial.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H367); [ zenon_intro zenon_H1da | zenon_intro zenon_H363 ].
% 83.65/83.84 apply (zenon_L451_); trivial.
% 83.65/83.84 apply (zenon_L455_); trivial.
% 83.65/83.84 (* end of lemma zenon_L480_ *)
% 83.65/83.84 assert (zenon_L481_ : (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (op1 (e13) (e11)) (e11)) = (e13))) -> ((op1 (e13) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e12) (e12)) = (e12)) -> (~((op1 (e12) (op1 (e13) (e11))) = (e12))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> False).
% 83.65/83.84 do 0 intro. intros zenon_H2e7 zenon_H419 zenon_H195 zenon_H1bf zenon_H1a7 zenon_H2c9 zenon_H17 zenon_H14 zenon_H236.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H2e7); [ zenon_intro zenon_H197 | zenon_intro zenon_H2eb ].
% 83.65/83.84 apply (zenon_L439_); trivial.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H2ec ].
% 83.65/83.84 apply (zenon_L113_); trivial.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H198 | zenon_intro zenon_H235 ].
% 83.65/83.84 apply (zenon_L214_); trivial.
% 83.65/83.84 apply (zenon_L149_); trivial.
% 83.65/83.84 (* end of lemma zenon_L481_ *)
% 83.65/83.84 assert (zenon_L482_ : (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (op1 (e13) (e11))) = (e12))) -> ((op1 (e12) (e12)) = (e12)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (op1 (e13) (e11)) (e11)) = (e13))) -> (~((op1 (e13) (op1 (e13) (e11))) = (e11))) -> ((op1 (op1 (e13) (e11)) (e13)) = (e11)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> False).
% 83.65/83.84 do 0 intro. intros zenon_H20d zenon_H2c9 zenon_H1a7 zenon_H1bf zenon_H204 zenon_H2c zenon_H2e7 zenon_H419 zenon_H422 zenon_H41e zenon_H426 zenon_H17 zenon_H14 zenon_H236.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H195 | zenon_intro zenon_H20e ].
% 83.65/83.84 apply (zenon_L481_); trivial.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H20f ].
% 83.65/83.84 apply (zenon_L443_); trivial.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H203 | zenon_intro zenon_H20b ].
% 83.65/83.84 apply (zenon_L133_); trivial.
% 83.65/83.84 apply (zenon_L445_); trivial.
% 83.65/83.84 (* end of lemma zenon_L482_ *)
% 83.65/83.84 assert (zenon_L483_ : (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e10) = (e12))) -> ((op1 (e12) (e11)) = (e10)) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e13) (e11)) (e13)) = (e11)) -> (~((op1 (e13) (op1 (e13) (e11))) = (e11))) -> (~((op1 (op1 (e13) (e11)) (e11)) = (e13))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (op1 (e13) (e11))) = (e12))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e13)) = (e12)) -> False).
% 83.65/83.84 do 0 intro. intros zenon_H1b6 zenon_H18e zenon_H3f zenon_H181 zenon_H236 zenon_H14 zenon_H17 zenon_H426 zenon_H41e zenon_H422 zenon_H419 zenon_H2e7 zenon_H2c zenon_H204 zenon_H1bf zenon_H2c9 zenon_H20d zenon_H1e4 zenon_H1e5.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H18d | zenon_intro zenon_H1b7 ].
% 83.65/83.84 apply (zenon_L101_); trivial.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H182 | zenon_intro zenon_H1b8 ].
% 83.65/83.84 apply (zenon_L98_); trivial.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1b4 ].
% 83.65/83.84 apply (zenon_L482_); trivial.
% 83.65/83.84 apply (zenon_L122_); trivial.
% 83.65/83.84 (* end of lemma zenon_L483_ *)
% 83.65/83.84 assert (zenon_L484_ : (~((op1 (e13) (op1 (e13) (e11))) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (op1 (e13) (e11)) (e13)) = (e11)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((e11) = (e12))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e10) = (e12))) -> (~((op1 (e12) (op1 (e13) (e11))) = (e12))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (op1 (e13) (e11)) (e11)) = (e13))) -> False).
% 83.65/83.84 do 0 intro. intros zenon_H422 zenon_H20d zenon_H41f zenon_H1bf zenon_H204 zenon_H2c zenon_H2e7 zenon_H41e zenon_H426 zenon_H236 zenon_H1e8 zenon_H1cf zenon_H2e zenon_H340 zenon_H42 zenon_H45 zenon_H35d zenon_H2cd zenon_H1c9 zenon_H1e zenon_H163 zenon_H25 zenon_H1c8 zenon_H427 zenon_H1d8 zenon_H230 zenon_H1dc zenon_H1d4 zenon_H187 zenon_H1a5 zenon_H365 zenon_H1b6 zenon_H18e zenon_H3f zenon_H2c9 zenon_H1e4 zenon_H17 zenon_H14 zenon_H419.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H43 | zenon_intro zenon_H1ca ].
% 83.65/83.84 apply (zenon_L12_); trivial.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H177 | zenon_intro zenon_H1cb ].
% 83.65/83.84 apply (zenon_L447_); trivial.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H181 | zenon_intro zenon_H197 ].
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H34 | zenon_intro zenon_H1cc ].
% 83.65/83.84 apply (zenon_L9_); trivial.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H17e | zenon_intro zenon_H1cd ].
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1ce | zenon_intro zenon_H1e9 ].
% 83.65/83.84 apply (zenon_L116_); trivial.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H17f | zenon_intro zenon_H1ea ].
% 83.65/83.84 apply (zenon_L97_); trivial.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1e5 ].
% 83.65/83.84 apply (zenon_L480_); trivial.
% 83.65/83.84 apply (zenon_L483_); trivial.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H184 | zenon_intro zenon_H1c0 ].
% 83.65/83.84 apply (zenon_L446_); trivial.
% 83.65/83.84 apply (zenon_L443_); trivial.
% 83.65/83.84 apply (zenon_L439_); trivial.
% 83.65/83.84 (* end of lemma zenon_L484_ *)
% 83.65/83.84 assert (zenon_L485_ : ((op1 (e12) (e13)) = (op1 (e13) (e12))) -> ((op1 (e12) (e13)) = (e11)) -> ((op1 (e13) (e11)) = (e12)) -> (~((op1 (e13) (op1 (e13) (e11))) = (e11))) -> False).
% 83.65/83.84 do 0 intro. intros zenon_H2d5 zenon_H1b3 zenon_H198 zenon_H422.
% 83.65/83.84 elim (classic ((e11) = (e11))); [ zenon_intro zenon_H164 | zenon_intro zenon_H165 ].
% 83.65/83.84 cut (((e11) = (e11)) = ((op1 (e13) (op1 (e13) (e11))) = (e11))).
% 83.65/83.84 intro zenon_D_pnotp.
% 83.65/83.84 apply zenon_H422.
% 83.65/83.84 rewrite <- zenon_D_pnotp.
% 83.65/83.84 exact zenon_H164.
% 83.65/83.84 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H165].
% 83.65/83.84 cut (((e11) = (op1 (e13) (op1 (e13) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H430].
% 83.65/83.84 congruence.
% 83.65/83.84 cut (((op1 (e12) (e13)) = (op1 (e13) (e12))) = ((e11) = (op1 (e13) (op1 (e13) (e11))))).
% 83.65/83.84 intro zenon_D_pnotp.
% 83.65/83.84 apply zenon_H430.
% 83.65/83.84 rewrite <- zenon_D_pnotp.
% 83.65/83.84 exact zenon_H2d5.
% 83.65/83.84 cut (((op1 (e13) (e12)) = (op1 (e13) (op1 (e13) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H42e].
% 83.65/83.84 cut (((op1 (e12) (e13)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H3ed].
% 83.65/83.84 congruence.
% 83.65/83.84 exact (zenon_H3ed zenon_H1b3).
% 83.65/83.84 cut (((e12) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H41d].
% 83.65/83.84 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H1f0].
% 83.65/83.84 congruence.
% 83.65/83.84 apply zenon_H1f0. apply refl_equal.
% 83.65/83.84 apply zenon_H41d. apply sym_equal. exact zenon_H198.
% 83.65/83.84 apply zenon_H165. apply refl_equal.
% 83.65/83.84 apply zenon_H165. apply refl_equal.
% 83.65/83.84 (* end of lemma zenon_L485_ *)
% 83.65/83.84 assert (zenon_L486_ : (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e11)) = (e12)) -> ((op1 (op1 (e13) (e11)) (e13)) = (e11)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e12)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (op1 (e13) (e13))) = (e10))) -> ((op1 (e10) (e13)) = (e10)) -> False).
% 83.65/83.84 do 0 intro. intros zenon_H2e3 zenon_H53 zenon_H198 zenon_H41e zenon_H426 zenon_H1e5 zenon_H343 zenon_H2df zenon_H42.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H54 | zenon_intro zenon_H2e4 ].
% 83.65/83.84 apply (zenon_L18_); trivial.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H2e4); [ zenon_intro zenon_H20b | zenon_intro zenon_H2e5 ].
% 83.65/83.84 apply (zenon_L444_); trivial.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H2da | zenon_intro zenon_H2dd ].
% 83.65/83.84 apply (zenon_L265_); trivial.
% 83.65/83.84 apply (zenon_L225_); trivial.
% 83.65/83.84 (* end of lemma zenon_L486_ *)
% 83.65/83.84 assert (zenon_L487_ : (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (op1 (e13) (e11)) (e11)) = (e13))) -> (~((op1 (e13) (op1 (e13) (e11))) = (e11))) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e10) (op1 (e13) (e13))) = (e10))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e12)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e13) (e11)) (e13)) = (e11)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> False).
% 83.65/83.84 do 0 intro. intros zenon_H2e7 zenon_H419 zenon_H422 zenon_H42 zenon_H2df zenon_H343 zenon_H1e5 zenon_H426 zenon_H41e zenon_H53 zenon_H2e3 zenon_H17 zenon_H14 zenon_H236.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H2e7); [ zenon_intro zenon_H197 | zenon_intro zenon_H2eb ].
% 83.65/83.84 apply (zenon_L439_); trivial.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H2ec ].
% 83.65/83.84 apply (zenon_L443_); trivial.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H198 | zenon_intro zenon_H235 ].
% 83.65/83.84 apply (zenon_L486_); trivial.
% 83.65/83.84 apply (zenon_L149_); trivial.
% 83.65/83.84 (* end of lemma zenon_L487_ *)
% 83.65/83.84 assert (zenon_L488_ : (~((op1 (e13) (op1 (e13) (e11))) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (op1 (e13) (e11)) (e13)) = (e11)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((e11) = (e12))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((e10) = (e12))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e10) (op1 (e13) (e13))) = (e10))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (op1 (e13) (e11)) (e11)) = (e13))) -> False).
% 83.65/83.84 do 0 intro. intros zenon_H422 zenon_H20d zenon_H41f zenon_H1bf zenon_H204 zenon_H2c zenon_H2e7 zenon_H41e zenon_H426 zenon_H236 zenon_H1e8 zenon_H1cf zenon_H2e zenon_H340 zenon_H45 zenon_H1e4 zenon_H35d zenon_H2cd zenon_H1c9 zenon_H1e zenon_H163 zenon_H25 zenon_H1c8 zenon_H427 zenon_H18e zenon_H1d8 zenon_H230 zenon_H1dc zenon_H1d4 zenon_H187 zenon_H1a5 zenon_H365 zenon_H3f zenon_H1b6 zenon_H42 zenon_H2df zenon_H343 zenon_H53 zenon_H2e3 zenon_H17 zenon_H14 zenon_H419.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H43 | zenon_intro zenon_H1ca ].
% 83.65/83.84 apply (zenon_L12_); trivial.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H177 | zenon_intro zenon_H1cb ].
% 83.65/83.84 apply (zenon_L447_); trivial.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H181 | zenon_intro zenon_H197 ].
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H34 | zenon_intro zenon_H1cc ].
% 83.65/83.84 apply (zenon_L9_); trivial.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H17e | zenon_intro zenon_H1cd ].
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1ce | zenon_intro zenon_H1e9 ].
% 83.65/83.84 apply (zenon_L116_); trivial.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H17f | zenon_intro zenon_H1ea ].
% 83.65/83.84 apply (zenon_L97_); trivial.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1e5 ].
% 83.65/83.84 apply (zenon_L480_); trivial.
% 83.65/83.84 apply (zenon_L487_); trivial.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H184 | zenon_intro zenon_H1c0 ].
% 83.65/83.84 apply (zenon_L446_); trivial.
% 83.65/83.84 apply (zenon_L443_); trivial.
% 83.65/83.84 apply (zenon_L439_); trivial.
% 83.65/83.84 (* end of lemma zenon_L488_ *)
% 83.65/83.84 assert (zenon_L489_ : ((~((op1 (e13) (op1 (e13) (e11))) = (e11)))/\(((op1 (op1 (e13) (e11)) (e13)) = (e11))/\(~((op1 (op1 (e13) (e11)) (e11)) = (e13))))) -> ((((op1 (e10) (e10)) = (op1 (e10) (e10)))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e10) (e10))) = (e11)))/\((~((op1 (e12) (op1 (e10) (e10))) = (e12)))/\(~((op1 (e13) (op1 (e10) (e10))) = (e13)))))))\/((((op1 (e11) (e10)) = (op1 (e10) (e11)))/\((~((op1 (e10) (op1 (e10) (e11))) = (e10)))/\((~((op1 (e11) (op1 (e10) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e10) (e11))) = (e12)))/\(~((op1 (e13) (op1 (e10) (e11))) = (e13)))))))\/((((op1 (e12) (e10)) = (op1 (e10) (e12)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e10)))/\((~((op1 (e11) (op1 (e10) (e12))) = (e11)))/\((~((op1 (e12) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e10) (e12))) = (e13)))))))\/((((op1 (e13) (e10)) = (op1 (e10) (e13)))/\((~((op1 (e10) (op1 (e10) (e13))) = (e10)))/\((~((op1 (e11) (op1 (e10) (e13))) = (e11)))/\((~((op1 (e12) (op1 (e10) (e13))) = (e12)))/\(~((op1 (e13) (op1 (e10) (e13))) = (e13)))))))\/((((op1 (e10) (e11)) = (op1 (e11) (e10)))/\((~((op1 (e10) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e10))) = (e11)))/\((~((op1 (e12) (op1 (e11) (e10))) = (e12)))/\(~((op1 (e13) (op1 (e11) (e10))) = (e13)))))))\/((((op1 (e11) (e11)) = (op1 (e11) (e11)))/\((~((op1 (e10) (op1 (e11) (e11))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e11) (e11))) = (e12)))/\(~((op1 (e13) (op1 (e11) (e11))) = (e13)))))))\/((((op1 (e12) (e11)) = (op1 (e11) (e12)))/\((~((op1 (e10) (op1 (e11) (e12))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e12))) = (e11)))/\((~((op1 (e12) (op1 (e11) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e11) (e12))) = (e13)))))))\/((((op1 (e13) (e11)) = (op1 (e11) (e13)))/\((~((op1 (e10) (op1 (e11) (e13))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e13))) = (e11)))/\((~((op1 (e12) (op1 (e11) (e13))) = (e12)))/\(~((op1 (e13) (op1 (e11) (e13))) = (e13)))))))\/((((op1 (e10) (e12)) = (op1 (e12) (e10)))/\((~((op1 (e10) (op1 (e12) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e12) (e10))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e10))) = (e12)))/\(~((op1 (e13) (op1 (e12) (e10))) = (e13)))))))\/((((op1 (e11) (e12)) = (op1 (e12) (e11)))/\((~((op1 (e10) (op1 (e12) (e11))) = (e10)))/\((~((op1 (e11) (op1 (e12) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e11))) = (e12)))/\(~((op1 (e13) (op1 (e12) (e11))) = (e13)))))))\/((((op1 (e12) (e12)) = (op1 (e12) (e12)))/\((~((op1 (e10) (op1 (e12) (e12))) = (e10)))/\((~((op1 (e11) (op1 (e12) (e12))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e12) (e12))) = (e13)))))))\/((((op1 (e13) (e12)) = (op1 (e12) (e13)))/\((~((op1 (e10) (op1 (e12) (e13))) = (e10)))/\((~((op1 (e11) (op1 (e12) (e13))) = (e11)))/\((~((op1 (e12) (op1 (e12) (e13))) = (e12)))/\(~((op1 (e13) (op1 (e12) (e13))) = (e13)))))))\/((((op1 (e10) (e13)) = (op1 (e13) (e10)))/\((~((op1 (e10) (op1 (e13) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e13) (e10))) = (e11)))/\((~((op1 (e12) (op1 (e13) (e10))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e10))) = (e13)))))))\/((((op1 (e11) (e13)) = (op1 (e13) (e11)))/\((~((op1 (e10) (op1 (e13) (e11))) = (e10)))/\((~((op1 (e11) (op1 (e13) (e11))) = (e11)))/\((~((op1 (e12) (op1 (e13) (e11))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e11))) = (e13)))))))\/((((op1 (e12) (e13)) = (op1 (e13) (e12)))/\((~((op1 (e10) (op1 (e13) (e12))) = (e10)))/\((~((op1 (e11) (op1 (e13) (e12))) = (e11)))/\((~((op1 (e12) (op1 (e13) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e12))) = (e13)))))))\/(((op1 (e13) (e13)) = (op1 (e13) (e13)))/\((~((op1 (e10) (op1 (e13) (e13))) = (e10)))/\((~((op1 (e11) (op1 (e13) (e13))) = (e11)))/\((~((op1 (e12) (op1 (e13) (e13))) = (e12)))/\(~((op1 (e13) (op1 (e13) (e13))) = (e13)))))))))))))))))))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e13) (e13)) = (e10))\/(((op1 (e13) (e13)) = (e11))\/(((op1 (e13) (e13)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 83.65/83.84 do 0 intro. intros zenon_H431 zenon_H37d zenon_H23d zenon_H16d zenon_H432 zenon_H276 zenon_H25a zenon_H229 zenon_H1a9 zenon_H25d zenon_H1ad zenon_H19a zenon_H1a0 zenon_H252 zenon_H1b0 zenon_H50 zenon_H56 zenon_H1ba zenon_H4d zenon_H2e3 zenon_H53 zenon_H343 zenon_H1b6 zenon_H3f zenon_H365 zenon_H1a5 zenon_H187 zenon_H1d4 zenon_H1dc zenon_H230 zenon_H1d8 zenon_H18e zenon_H427 zenon_H1c8 zenon_H163 zenon_H1e zenon_H1c9 zenon_H2cd zenon_H35d zenon_H1e4 zenon_H45 zenon_H340 zenon_H2e zenon_H1cf zenon_H1e8 zenon_H236 zenon_H426 zenon_H2e7 zenon_H204 zenon_H1bf zenon_H41f zenon_H20d zenon_H3a zenon_H49 zenon_H2c zenon_H17 zenon_H14 zenon_H25.
% 83.65/83.84 apply (zenon_and_s _ _ zenon_H431). zenon_intro zenon_H422. zenon_intro zenon_H433.
% 83.65/83.84 apply (zenon_and_s _ _ zenon_H433). zenon_intro zenon_H41e. zenon_intro zenon_H419.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H380 | zenon_intro zenon_H37f ].
% 83.65/83.84 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H1a. zenon_intro zenon_H381.
% 83.65/83.84 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H9e. zenon_intro zenon_H382.
% 83.65/83.84 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H384. zenon_intro zenon_H383.
% 83.65/83.84 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H1e0. zenon_intro zenon_H385.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H43 | zenon_intro zenon_H1ca ].
% 83.65/83.84 apply (zenon_L20_); trivial.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H177 | zenon_intro zenon_H1cb ].
% 83.65/83.84 apply (zenon_L447_); trivial.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H181 | zenon_intro zenon_H197 ].
% 83.65/83.84 apply (zenon_L460_); trivial.
% 83.65/83.84 apply (zenon_L439_); trivial.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H23c | zenon_intro zenon_H386 ].
% 83.65/83.84 apply (zenon_L150_); trivial.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H388 | zenon_intro zenon_H387 ].
% 83.65/83.84 apply (zenon_and_s _ _ zenon_H388). zenon_intro zenon_H245. zenon_intro zenon_H389.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H432); [ zenon_intro zenon_H244 | zenon_intro zenon_H434 ].
% 83.65/83.84 apply (zenon_L461_); trivial.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H434); [ zenon_intro zenon_H19f | zenon_intro zenon_H435 ].
% 83.65/83.84 apply (zenon_L105_); trivial.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H435); [ zenon_intro zenon_H186 | zenon_intro zenon_H203 ].
% 83.65/83.84 apply (zenon_L100_); trivial.
% 83.65/83.84 apply (zenon_L133_); trivial.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H38b | zenon_intro zenon_H38a ].
% 83.65/83.84 apply (zenon_and_s _ _ zenon_H38b). zenon_intro zenon_H253. zenon_intro zenon_H38c.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H194 | zenon_intro zenon_H1b1 ].
% 83.65/83.84 apply (zenon_L462_); trivial.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H197 | zenon_intro zenon_H1b2 ].
% 83.65/83.84 apply (zenon_L439_); trivial.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H19c | zenon_intro zenon_H54 ].
% 83.65/83.84 apply (zenon_L298_); trivial.
% 83.65/83.84 apply (zenon_L19_); trivial.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H38e | zenon_intro zenon_H38d ].
% 83.65/83.84 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_H260. zenon_intro zenon_H38f.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_H161 | zenon_intro zenon_H27a ].
% 83.65/83.84 apply (zenon_L463_); trivial.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H27a); [ zenon_intro zenon_H177 | zenon_intro zenon_H27b ].
% 83.65/83.84 apply (zenon_L447_); trivial.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H27b); [ zenon_intro zenon_H19b | zenon_intro zenon_H46 ].
% 83.65/83.84 apply (zenon_L464_); trivial.
% 83.65/83.84 apply (zenon_L15_); trivial.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H391 | zenon_intro zenon_H390 ].
% 83.65/83.84 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H22a. zenon_intro zenon_H392.
% 83.65/83.84 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H394. zenon_intro zenon_H393.
% 83.65/83.84 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H266. zenon_intro zenon_H395.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H34 | zenon_intro zenon_H1cc ].
% 83.65/83.84 apply (zenon_L9_); trivial.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H17e | zenon_intro zenon_H1cd ].
% 83.65/83.84 apply (zenon_L170_); trivial.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H184 | zenon_intro zenon_H1c0 ].
% 83.65/83.84 apply (zenon_L446_); trivial.
% 83.65/83.84 apply (zenon_L443_); trivial.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H275 | zenon_intro zenon_H396 ].
% 83.65/83.84 apply (zenon_and_s _ _ zenon_H275). zenon_intro zenon_H270. zenon_intro zenon_H277.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H43 | zenon_intro zenon_H1ca ].
% 83.65/83.84 apply (zenon_L20_); trivial.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H177 | zenon_intro zenon_H1cb ].
% 83.65/83.84 apply (zenon_L447_); trivial.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H181 | zenon_intro zenon_H197 ].
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H34 | zenon_intro zenon_H1cc ].
% 83.65/83.84 apply (zenon_L9_); trivial.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H17e | zenon_intro zenon_H1cd ].
% 83.65/83.84 apply (zenon_L469_); trivial.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H184 | zenon_intro zenon_H1c0 ].
% 83.65/83.84 apply (zenon_L446_); trivial.
% 83.65/83.84 apply (zenon_L443_); trivial.
% 83.65/83.84 apply (zenon_L439_); trivial.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H281 | zenon_intro zenon_H397 ].
% 83.65/83.84 apply (zenon_and_s _ _ zenon_H281). zenon_intro zenon_H284. zenon_intro zenon_H283.
% 83.65/83.84 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H286. zenon_intro zenon_H285.
% 83.65/83.84 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H288. zenon_intro zenon_H287.
% 83.65/83.84 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_H27d. zenon_intro zenon_H289.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H43 | zenon_intro zenon_H1ca ].
% 83.65/83.84 apply (zenon_L20_); trivial.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H177 | zenon_intro zenon_H1cb ].
% 83.65/83.84 apply (zenon_L447_); trivial.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H181 | zenon_intro zenon_H197 ].
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H34 | zenon_intro zenon_H1cc ].
% 83.65/83.84 apply (zenon_L9_); trivial.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H17e | zenon_intro zenon_H1cd ].
% 83.65/83.84 apply (zenon_L470_); trivial.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H184 | zenon_intro zenon_H1c0 ].
% 83.65/83.84 apply (zenon_L446_); trivial.
% 83.65/83.84 apply (zenon_L443_); trivial.
% 83.65/83.84 apply (zenon_L439_); trivial.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H294 | zenon_intro zenon_H398 ].
% 83.65/83.84 apply (zenon_and_s _ _ zenon_H294). zenon_intro zenon_H293. zenon_intro zenon_H295.
% 83.65/83.84 apply (zenon_and_s _ _ zenon_H295). zenon_intro zenon_H28f. zenon_intro zenon_H296.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H42 | zenon_intro zenon_H57 ].
% 83.65/83.84 apply (zenon_L471_); trivial.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H57); [ zenon_intro zenon_H46 | zenon_intro zenon_H58 ].
% 83.65/83.84 apply (zenon_L15_); trivial.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H51 | zenon_intro zenon_H54 ].
% 83.65/83.84 apply (zenon_L17_); trivial.
% 83.65/83.84 apply (zenon_L19_); trivial.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H399 ].
% 83.65/83.84 apply (zenon_and_s _ _ zenon_H2a4). zenon_intro zenon_H29d. zenon_intro zenon_H2a5.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H43 | zenon_intro zenon_H1ca ].
% 83.65/83.84 apply (zenon_L20_); trivial.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H177 | zenon_intro zenon_H1cb ].
% 83.65/83.84 apply (zenon_L447_); trivial.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H181 | zenon_intro zenon_H197 ].
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H34 | zenon_intro zenon_H1cc ].
% 83.65/83.84 apply (zenon_L9_); trivial.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H17e | zenon_intro zenon_H1cd ].
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1ce | zenon_intro zenon_H1e9 ].
% 83.65/83.84 apply (zenon_L116_); trivial.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H17f | zenon_intro zenon_H1ea ].
% 83.65/83.84 apply (zenon_L97_); trivial.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1e5 ].
% 83.65/83.84 apply (zenon_L458_); trivial.
% 83.65/83.84 apply (zenon_L476_); trivial.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H184 | zenon_intro zenon_H1c0 ].
% 83.65/83.84 apply (zenon_L446_); trivial.
% 83.65/83.84 apply (zenon_L443_); trivial.
% 83.65/83.84 apply (zenon_L439_); trivial.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H39a ].
% 83.65/83.84 apply (zenon_and_s _ _ zenon_H2b2). zenon_intro zenon_H188. zenon_intro zenon_H2b3.
% 83.65/83.84 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_H2b5. zenon_intro zenon_H2b4.
% 83.65/83.84 apply (zenon_and_s _ _ zenon_H2b4). zenon_intro zenon_H2b7. zenon_intro zenon_H2b6.
% 83.65/83.84 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H2ac. zenon_intro zenon_H2b8.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H43 | zenon_intro zenon_H1ca ].
% 83.65/83.84 apply (zenon_L20_); trivial.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H177 | zenon_intro zenon_H1cb ].
% 83.65/83.84 apply (zenon_L447_); trivial.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H181 | zenon_intro zenon_H197 ].
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H34 | zenon_intro zenon_H1cc ].
% 83.65/83.84 apply (zenon_L9_); trivial.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H17e | zenon_intro zenon_H1cd ].
% 83.65/83.84 apply (zenon_L477_); trivial.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H184 | zenon_intro zenon_H1c0 ].
% 83.65/83.84 apply (zenon_L446_); trivial.
% 83.65/83.84 apply (zenon_L443_); trivial.
% 83.65/83.84 apply (zenon_L439_); trivial.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H39b ].
% 83.65/83.84 apply (zenon_and_s _ _ zenon_H2c2). zenon_intro zenon_H2bc. zenon_intro zenon_H2c3.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H16c | zenon_intro zenon_H1bd ].
% 83.65/83.84 apply (zenon_L450_); trivial.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H184 | zenon_intro zenon_H1be ].
% 83.65/83.84 apply (zenon_L446_); trivial.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H186 | zenon_intro zenon_H1b3 ].
% 83.65/83.84 apply (zenon_L100_); trivial.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H195 | zenon_intro zenon_H20e ].
% 83.65/83.84 apply (zenon_L479_); trivial.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H20f ].
% 83.65/83.84 apply (zenon_L443_); trivial.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H203 | zenon_intro zenon_H20b ].
% 83.65/83.84 apply (zenon_L133_); trivial.
% 83.65/83.84 apply (zenon_L445_); trivial.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H39c ].
% 83.65/83.84 apply (zenon_and_s _ _ zenon_H2c5). zenon_intro zenon_H2c4. zenon_intro zenon_H2c6.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H194 | zenon_intro zenon_H1b1 ].
% 83.65/83.84 apply (zenon_L462_); trivial.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H197 | zenon_intro zenon_H1b2 ].
% 83.65/83.84 apply (zenon_L439_); trivial.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H19c | zenon_intro zenon_H54 ].
% 83.65/83.84 apply (zenon_L208_); trivial.
% 83.65/83.84 apply (zenon_L19_); trivial.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H2ce | zenon_intro zenon_H39d ].
% 83.65/83.84 apply (zenon_and_s _ _ zenon_H2ce). zenon_intro zenon_H2c7. zenon_intro zenon_H2cf.
% 83.65/83.84 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H2d1. zenon_intro zenon_H2d0.
% 83.65/83.84 apply (zenon_and_s _ _ zenon_H2d0). zenon_intro zenon_H2d3. zenon_intro zenon_H2d2.
% 83.65/83.84 apply (zenon_and_s _ _ zenon_H2d2). zenon_intro zenon_H2c9. zenon_intro zenon_H2d4.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H42 | zenon_intro zenon_H57 ].
% 83.65/83.84 apply (zenon_L484_); trivial.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H57); [ zenon_intro zenon_H46 | zenon_intro zenon_H58 ].
% 83.65/83.84 apply (zenon_L15_); trivial.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H51 | zenon_intro zenon_H54 ].
% 83.65/83.84 apply (zenon_L17_); trivial.
% 83.65/83.84 apply (zenon_L19_); trivial.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2e6 ].
% 83.65/83.84 apply (zenon_and_s _ _ zenon_H2d7). zenon_intro zenon_H2d5. zenon_intro zenon_H2d8.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H16c | zenon_intro zenon_H1bd ].
% 83.65/83.84 apply (zenon_L450_); trivial.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H184 | zenon_intro zenon_H1be ].
% 83.65/83.84 apply (zenon_L446_); trivial.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H186 | zenon_intro zenon_H1b3 ].
% 83.65/83.84 apply (zenon_L100_); trivial.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H2e7); [ zenon_intro zenon_H197 | zenon_intro zenon_H2eb ].
% 83.65/83.84 apply (zenon_L439_); trivial.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H2ec ].
% 83.65/83.84 apply (zenon_L443_); trivial.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H198 | zenon_intro zenon_H235 ].
% 83.65/83.84 apply (zenon_L485_); trivial.
% 83.65/83.84 apply (zenon_L149_); trivial.
% 83.65/83.84 apply (zenon_and_s _ _ zenon_H2e6). zenon_intro zenon_H2e9. zenon_intro zenon_H2e8.
% 83.65/83.84 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H2df. zenon_intro zenon_H2ea.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H42 | zenon_intro zenon_H4e ].
% 83.65/83.84 apply (zenon_L488_); trivial.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H39 | zenon_intro zenon_H4f ].
% 83.65/83.84 apply (zenon_L10_); trivial.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H48 | zenon_intro zenon_H24 ].
% 83.65/83.84 apply (zenon_L14_); trivial.
% 83.65/83.84 apply (zenon_L5_); trivial.
% 83.65/83.84 (* end of lemma zenon_L489_ *)
% 83.65/83.84 assert (zenon_L490_ : (~((op1 (e10) (e13)) = (op1 (op1 (e13) (e12)) (e13)))) -> ((op1 (e13) (e12)) = (e10)) -> False).
% 83.65/83.84 do 0 intro. intros zenon_H436 zenon_H19c.
% 83.65/83.84 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H1f0].
% 83.65/83.84 cut (((e10) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H19d].
% 83.65/83.84 congruence.
% 83.65/83.84 apply zenon_H19d. apply sym_equal. exact zenon_H19c.
% 83.65/83.84 apply zenon_H1f0. apply refl_equal.
% 83.65/83.84 (* end of lemma zenon_L490_ *)
% 83.65/83.84 assert (zenon_L491_ : (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (op1 (e13) (e12)) (e13)) = (e12)) -> ((op1 (e13) (e12)) = (e10)) -> ((op1 (e11) (e13)) = (e12)) -> False).
% 83.65/83.84 do 0 intro. intros zenon_H45 zenon_H437 zenon_H19c zenon_H1e5.
% 83.65/83.84 cut (((op1 (op1 (e13) (e12)) (e13)) = (e12)) = ((op1 (e10) (e13)) = (op1 (e11) (e13)))).
% 83.65/83.84 intro zenon_D_pnotp.
% 83.65/83.84 apply zenon_H45.
% 83.65/83.84 rewrite <- zenon_D_pnotp.
% 83.65/83.84 exact zenon_H437.
% 83.65/83.84 cut (((e12) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2f7].
% 83.65/83.84 cut (((op1 (op1 (e13) (e12)) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H438].
% 83.65/83.84 congruence.
% 83.65/83.84 elim (classic ((op1 (e10) (e13)) = (op1 (e10) (e13)))); [ zenon_intro zenon_H26 | zenon_intro zenon_H27 ].
% 83.65/83.84 cut (((op1 (e10) (e13)) = (op1 (e10) (e13))) = ((op1 (op1 (e13) (e12)) (e13)) = (op1 (e10) (e13)))).
% 83.65/83.84 intro zenon_D_pnotp.
% 83.65/83.84 apply zenon_H438.
% 83.65/83.84 rewrite <- zenon_D_pnotp.
% 83.65/83.84 exact zenon_H26.
% 83.65/83.84 cut (((op1 (e10) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H27].
% 83.65/83.84 cut (((op1 (e10) (e13)) = (op1 (op1 (e13) (e12)) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H436].
% 83.65/83.84 congruence.
% 83.65/83.84 apply (zenon_L490_); trivial.
% 83.65/83.84 apply zenon_H27. apply refl_equal.
% 83.65/83.84 apply zenon_H27. apply refl_equal.
% 83.65/83.84 apply zenon_H2f7. apply sym_equal. exact zenon_H1e5.
% 83.65/83.84 (* end of lemma zenon_L491_ *)
% 83.65/83.84 assert (zenon_L492_ : (~((op1 (e12) (e13)) = (op1 (op1 (e13) (e12)) (e13)))) -> ((op1 (e13) (e12)) = (e12)) -> False).
% 83.65/83.84 do 0 intro. intros zenon_H439 zenon_H32d.
% 83.65/83.84 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H1f0].
% 83.65/83.84 cut (((e12) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H32e].
% 83.65/83.84 congruence.
% 83.65/83.84 apply zenon_H32e. apply sym_equal. exact zenon_H32d.
% 83.65/83.84 apply zenon_H1f0. apply refl_equal.
% 83.65/83.84 (* end of lemma zenon_L492_ *)
% 83.65/83.84 assert (zenon_L493_ : ((op1 (op1 (e13) (e12)) (e13)) = (e12)) -> ((op1 (e13) (e12)) = (e12)) -> ((op1 (e11) (e13)) = (e12)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> False).
% 83.65/83.84 do 0 intro. intros zenon_H437 zenon_H32d zenon_H1e5 zenon_H1e4.
% 83.65/83.84 elim (classic ((op1 (e12) (e13)) = (op1 (e12) (e13)))); [ zenon_intro zenon_H2bd | zenon_intro zenon_H2be ].
% 83.65/83.84 cut (((op1 (e12) (e13)) = (op1 (e12) (e13))) = ((op1 (e11) (e13)) = (op1 (e12) (e13)))).
% 83.65/83.84 intro zenon_D_pnotp.
% 83.65/83.84 apply zenon_H1e4.
% 83.65/83.84 rewrite <- zenon_D_pnotp.
% 83.65/83.84 exact zenon_H2bd.
% 83.65/83.84 cut (((op1 (e12) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2be].
% 83.65/83.84 cut (((op1 (e12) (e13)) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H429].
% 83.65/83.84 congruence.
% 83.65/83.84 cut (((op1 (op1 (e13) (e12)) (e13)) = (e12)) = ((op1 (e12) (e13)) = (op1 (e11) (e13)))).
% 83.65/83.84 intro zenon_D_pnotp.
% 83.65/83.84 apply zenon_H429.
% 83.65/83.84 rewrite <- zenon_D_pnotp.
% 83.65/83.84 exact zenon_H437.
% 83.65/83.84 cut (((e12) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2f7].
% 83.65/83.84 cut (((op1 (op1 (e13) (e12)) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H43a].
% 83.65/83.84 congruence.
% 83.65/83.84 elim (classic ((op1 (e12) (e13)) = (op1 (e12) (e13)))); [ zenon_intro zenon_H2bd | zenon_intro zenon_H2be ].
% 83.65/83.84 cut (((op1 (e12) (e13)) = (op1 (e12) (e13))) = ((op1 (op1 (e13) (e12)) (e13)) = (op1 (e12) (e13)))).
% 83.65/83.84 intro zenon_D_pnotp.
% 83.65/83.84 apply zenon_H43a.
% 83.65/83.84 rewrite <- zenon_D_pnotp.
% 83.65/83.84 exact zenon_H2bd.
% 83.65/83.84 cut (((op1 (e12) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2be].
% 83.65/83.84 cut (((op1 (e12) (e13)) = (op1 (op1 (e13) (e12)) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H439].
% 83.65/83.84 congruence.
% 83.65/83.84 apply (zenon_L492_); trivial.
% 83.65/83.84 apply zenon_H2be. apply refl_equal.
% 83.65/83.84 apply zenon_H2be. apply refl_equal.
% 83.65/83.84 apply zenon_H2f7. apply sym_equal. exact zenon_H1e5.
% 83.65/83.84 apply zenon_H2be. apply refl_equal.
% 83.65/83.84 apply zenon_H2be. apply refl_equal.
% 83.65/83.84 (* end of lemma zenon_L493_ *)
% 83.65/83.84 assert (zenon_L494_ : (~((op1 (e13) (e13)) = (op1 (op1 (e13) (e12)) (e13)))) -> ((op1 (e13) (e12)) = (e13)) -> False).
% 83.65/83.84 do 0 intro. intros zenon_H43b zenon_H36d.
% 83.65/83.84 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H1f0].
% 83.65/83.84 cut (((e13) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H3f6].
% 83.65/83.84 congruence.
% 83.65/83.84 apply zenon_H3f6. apply sym_equal. exact zenon_H36d.
% 83.65/83.84 apply zenon_H1f0. apply refl_equal.
% 83.65/83.84 (* end of lemma zenon_L494_ *)
% 83.65/83.84 assert (zenon_L495_ : ((op1 (op1 (e13) (e12)) (e13)) = (e12)) -> ((op1 (e13) (e12)) = (e13)) -> ((op1 (e11) (e13)) = (e12)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> False).
% 83.65/83.84 do 0 intro. intros zenon_H437 zenon_H36d zenon_H1e5 zenon_H343.
% 83.65/83.84 elim (classic ((op1 (e13) (e13)) = (op1 (e13) (e13)))); [ zenon_intro zenon_H2e9 | zenon_intro zenon_H40f ].
% 83.65/83.84 cut (((op1 (e13) (e13)) = (op1 (e13) (e13))) = ((op1 (e11) (e13)) = (op1 (e13) (e13)))).
% 83.65/83.84 intro zenon_D_pnotp.
% 83.65/83.84 apply zenon_H343.
% 83.65/83.84 rewrite <- zenon_D_pnotp.
% 83.65/83.84 exact zenon_H2e9.
% 83.65/83.84 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H40f].
% 83.65/83.84 cut (((op1 (e13) (e13)) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H43c].
% 83.65/83.84 congruence.
% 83.65/83.84 cut (((op1 (op1 (e13) (e12)) (e13)) = (e12)) = ((op1 (e13) (e13)) = (op1 (e11) (e13)))).
% 83.65/83.84 intro zenon_D_pnotp.
% 83.65/83.84 apply zenon_H43c.
% 83.65/83.84 rewrite <- zenon_D_pnotp.
% 83.65/83.84 exact zenon_H437.
% 83.65/83.84 cut (((e12) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2f7].
% 83.65/83.84 cut (((op1 (op1 (e13) (e12)) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H43d].
% 83.65/83.84 congruence.
% 83.65/83.84 elim (classic ((op1 (e13) (e13)) = (op1 (e13) (e13)))); [ zenon_intro zenon_H2e9 | zenon_intro zenon_H40f ].
% 83.65/83.84 cut (((op1 (e13) (e13)) = (op1 (e13) (e13))) = ((op1 (op1 (e13) (e12)) (e13)) = (op1 (e13) (e13)))).
% 83.65/83.84 intro zenon_D_pnotp.
% 83.65/83.84 apply zenon_H43d.
% 83.65/83.84 rewrite <- zenon_D_pnotp.
% 83.65/83.84 exact zenon_H2e9.
% 83.65/83.84 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H40f].
% 83.65/83.84 cut (((op1 (e13) (e13)) = (op1 (op1 (e13) (e12)) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H43b].
% 83.65/83.84 congruence.
% 83.65/83.84 apply (zenon_L494_); trivial.
% 83.65/83.84 apply zenon_H40f. apply refl_equal.
% 83.65/83.84 apply zenon_H40f. apply refl_equal.
% 83.65/83.84 apply zenon_H2f7. apply sym_equal. exact zenon_H1e5.
% 83.65/83.84 apply zenon_H40f. apply refl_equal.
% 83.65/83.84 apply zenon_H40f. apply refl_equal.
% 83.65/83.84 (* end of lemma zenon_L495_ *)
% 83.65/83.84 assert (zenon_L496_ : (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (op1 (e13) (e12)) (e13)) = (e12)) -> ((op1 (e11) (e13)) = (e12)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> False).
% 83.65/83.84 do 0 intro. intros zenon_H43e zenon_H45 zenon_H204 zenon_H2c zenon_H14 zenon_H1e4 zenon_H437 zenon_H1e5 zenon_H343.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H43e); [ zenon_intro zenon_H19c | zenon_intro zenon_H43f ].
% 83.65/83.84 apply (zenon_L491_); trivial.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H43f); [ zenon_intro zenon_H203 | zenon_intro zenon_H440 ].
% 83.65/83.84 apply (zenon_L133_); trivial.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H440); [ zenon_intro zenon_H32d | zenon_intro zenon_H36d ].
% 83.65/83.84 apply (zenon_L493_); trivial.
% 83.65/83.84 apply (zenon_L495_); trivial.
% 83.65/83.84 (* end of lemma zenon_L496_ *)
% 83.65/83.84 assert (zenon_L497_ : (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (op1 (e13) (e12)) (e13)) = (e12)) -> ((op1 (e13) (e12)) = (e10)) -> ((op1 (e12) (e13)) = (e12)) -> False).
% 83.65/83.84 do 0 intro. intros zenon_H50 zenon_H437 zenon_H19c zenon_H1b4.
% 83.65/83.84 cut (((op1 (op1 (e13) (e12)) (e13)) = (e12)) = ((op1 (e10) (e13)) = (op1 (e12) (e13)))).
% 83.65/83.84 intro zenon_D_pnotp.
% 83.65/83.84 apply zenon_H50.
% 83.65/83.84 rewrite <- zenon_D_pnotp.
% 83.65/83.84 exact zenon_H437.
% 83.65/83.84 cut (((e12) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H1e6].
% 83.65/83.84 cut (((op1 (op1 (e13) (e12)) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H438].
% 83.65/83.84 congruence.
% 83.65/83.84 elim (classic ((op1 (e10) (e13)) = (op1 (e10) (e13)))); [ zenon_intro zenon_H26 | zenon_intro zenon_H27 ].
% 83.65/83.84 cut (((op1 (e10) (e13)) = (op1 (e10) (e13))) = ((op1 (op1 (e13) (e12)) (e13)) = (op1 (e10) (e13)))).
% 83.65/83.84 intro zenon_D_pnotp.
% 83.65/83.84 apply zenon_H438.
% 83.65/83.84 rewrite <- zenon_D_pnotp.
% 83.65/83.84 exact zenon_H26.
% 83.65/83.84 cut (((op1 (e10) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H27].
% 83.65/83.84 cut (((op1 (e10) (e13)) = (op1 (op1 (e13) (e12)) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H436].
% 83.65/83.84 congruence.
% 83.65/83.84 apply (zenon_L490_); trivial.
% 83.65/83.84 apply zenon_H27. apply refl_equal.
% 83.65/83.84 apply zenon_H27. apply refl_equal.
% 83.65/83.84 apply zenon_H1e6. apply sym_equal. exact zenon_H1b4.
% 83.65/83.84 (* end of lemma zenon_L497_ *)
% 83.65/83.84 assert (zenon_L498_ : (~((op1 (e13) (op1 (e13) (e12))) = (e12))) -> ((op1 (e13) (e12)) = (e12)) -> False).
% 83.65/83.84 do 0 intro. intros zenon_H441 zenon_H32d.
% 83.65/83.84 cut (((op1 (e13) (e12)) = (e12)) = ((op1 (e13) (op1 (e13) (e12))) = (e12))).
% 83.65/83.84 intro zenon_D_pnotp.
% 83.65/83.84 apply zenon_H441.
% 83.65/83.84 rewrite <- zenon_D_pnotp.
% 83.65/83.84 exact zenon_H32d.
% 83.65/83.84 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2b].
% 83.65/83.84 cut (((op1 (e13) (e12)) = (op1 (e13) (op1 (e13) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H442].
% 83.65/83.84 congruence.
% 83.65/83.84 elim (classic ((op1 (e13) (op1 (e13) (e12))) = (op1 (e13) (op1 (e13) (e12))))); [ zenon_intro zenon_H443 | zenon_intro zenon_H444 ].
% 83.65/83.84 cut (((op1 (e13) (op1 (e13) (e12))) = (op1 (e13) (op1 (e13) (e12)))) = ((op1 (e13) (e12)) = (op1 (e13) (op1 (e13) (e12))))).
% 83.65/83.84 intro zenon_D_pnotp.
% 83.65/83.84 apply zenon_H442.
% 83.65/83.84 rewrite <- zenon_D_pnotp.
% 83.65/83.84 exact zenon_H443.
% 83.65/83.84 cut (((op1 (e13) (op1 (e13) (e12))) = (op1 (e13) (op1 (e13) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H444].
% 83.65/83.84 cut (((op1 (e13) (op1 (e13) (e12))) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H445].
% 83.65/83.84 congruence.
% 83.65/83.84 cut (((op1 (e13) (e12)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H446].
% 83.65/83.84 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H1f0].
% 83.65/83.84 congruence.
% 83.65/83.84 apply zenon_H1f0. apply refl_equal.
% 83.65/83.84 exact (zenon_H446 zenon_H32d).
% 83.65/83.84 apply zenon_H444. apply refl_equal.
% 83.65/83.84 apply zenon_H444. apply refl_equal.
% 83.65/83.84 apply zenon_H2b. apply refl_equal.
% 83.65/83.84 (* end of lemma zenon_L498_ *)
% 83.65/83.84 assert (zenon_L499_ : ((op1 (op1 (e13) (e12)) (e13)) = (e12)) -> ((op1 (e13) (e12)) = (e13)) -> ((op1 (e12) (e13)) = (e12)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> False).
% 83.65/83.84 do 0 intro. intros zenon_H437 zenon_H36d zenon_H1b4 zenon_H426.
% 83.65/83.84 elim (classic ((op1 (e13) (e13)) = (op1 (e13) (e13)))); [ zenon_intro zenon_H2e9 | zenon_intro zenon_H40f ].
% 83.65/83.84 cut (((op1 (e13) (e13)) = (op1 (e13) (e13))) = ((op1 (e12) (e13)) = (op1 (e13) (e13)))).
% 83.65/83.84 intro zenon_D_pnotp.
% 83.65/83.84 apply zenon_H426.
% 83.65/83.84 rewrite <- zenon_D_pnotp.
% 83.65/83.84 exact zenon_H2e9.
% 83.65/83.84 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H40f].
% 83.65/83.84 cut (((op1 (e13) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H447].
% 83.65/83.84 congruence.
% 83.65/83.84 cut (((op1 (op1 (e13) (e12)) (e13)) = (e12)) = ((op1 (e13) (e13)) = (op1 (e12) (e13)))).
% 83.65/83.84 intro zenon_D_pnotp.
% 83.65/83.84 apply zenon_H447.
% 83.65/83.84 rewrite <- zenon_D_pnotp.
% 83.65/83.84 exact zenon_H437.
% 83.65/83.84 cut (((e12) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H1e6].
% 83.65/83.84 cut (((op1 (op1 (e13) (e12)) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H43d].
% 83.65/83.84 congruence.
% 83.65/83.84 elim (classic ((op1 (e13) (e13)) = (op1 (e13) (e13)))); [ zenon_intro zenon_H2e9 | zenon_intro zenon_H40f ].
% 83.65/83.84 cut (((op1 (e13) (e13)) = (op1 (e13) (e13))) = ((op1 (op1 (e13) (e12)) (e13)) = (op1 (e13) (e13)))).
% 83.65/83.84 intro zenon_D_pnotp.
% 83.65/83.84 apply zenon_H43d.
% 83.65/83.84 rewrite <- zenon_D_pnotp.
% 83.65/83.84 exact zenon_H2e9.
% 83.65/83.84 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H40f].
% 83.65/83.84 cut (((op1 (e13) (e13)) = (op1 (op1 (e13) (e12)) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H43b].
% 83.65/83.84 congruence.
% 83.65/83.84 apply (zenon_L494_); trivial.
% 83.65/83.84 apply zenon_H40f. apply refl_equal.
% 83.65/83.84 apply zenon_H40f. apply refl_equal.
% 83.65/83.84 apply zenon_H1e6. apply sym_equal. exact zenon_H1b4.
% 83.65/83.84 apply zenon_H40f. apply refl_equal.
% 83.65/83.84 apply zenon_H40f. apply refl_equal.
% 83.65/83.84 (* end of lemma zenon_L499_ *)
% 83.65/83.84 assert (zenon_L500_ : (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e13) (op1 (e13) (e12))) = (e12))) -> ((op1 (op1 (e13) (e12)) (e13)) = (e12)) -> ((op1 (e12) (e13)) = (e12)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> False).
% 83.65/83.84 do 0 intro. intros zenon_H43e zenon_H50 zenon_H204 zenon_H2c zenon_H14 zenon_H441 zenon_H437 zenon_H1b4 zenon_H426.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H43e); [ zenon_intro zenon_H19c | zenon_intro zenon_H43f ].
% 83.65/83.84 apply (zenon_L497_); trivial.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H43f); [ zenon_intro zenon_H203 | zenon_intro zenon_H440 ].
% 83.65/83.84 apply (zenon_L133_); trivial.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H440); [ zenon_intro zenon_H32d | zenon_intro zenon_H36d ].
% 83.65/83.84 apply (zenon_L498_); trivial.
% 83.65/83.84 apply (zenon_L499_); trivial.
% 83.65/83.84 (* end of lemma zenon_L500_ *)
% 83.65/83.84 assert (zenon_L501_ : (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e13) (e12)) (e13)) = (e12)) -> ((op1 (e13) (e12)) = (e10)) -> ((op1 (e13) (e13)) = (e12)) -> False).
% 83.65/83.84 do 0 intro. intros zenon_H53 zenon_H437 zenon_H19c zenon_H2da.
% 83.65/83.84 cut (((op1 (op1 (e13) (e12)) (e13)) = (e12)) = ((op1 (e10) (e13)) = (op1 (e13) (e13)))).
% 83.65/83.84 intro zenon_D_pnotp.
% 83.65/83.84 apply zenon_H53.
% 83.65/83.84 rewrite <- zenon_D_pnotp.
% 83.65/83.84 exact zenon_H437.
% 83.65/83.84 cut (((e12) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2db].
% 83.65/83.84 cut (((op1 (op1 (e13) (e12)) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H438].
% 83.65/83.84 congruence.
% 83.65/83.84 elim (classic ((op1 (e10) (e13)) = (op1 (e10) (e13)))); [ zenon_intro zenon_H26 | zenon_intro zenon_H27 ].
% 83.65/83.84 cut (((op1 (e10) (e13)) = (op1 (e10) (e13))) = ((op1 (op1 (e13) (e12)) (e13)) = (op1 (e10) (e13)))).
% 83.65/83.84 intro zenon_D_pnotp.
% 83.65/83.84 apply zenon_H438.
% 83.65/83.84 rewrite <- zenon_D_pnotp.
% 83.65/83.84 exact zenon_H26.
% 83.65/83.84 cut (((op1 (e10) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H27].
% 83.65/83.84 cut (((op1 (e10) (e13)) = (op1 (op1 (e13) (e12)) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H436].
% 83.65/83.84 congruence.
% 83.65/83.84 apply (zenon_L490_); trivial.
% 83.65/83.84 apply zenon_H27. apply refl_equal.
% 83.65/83.84 apply zenon_H27. apply refl_equal.
% 83.65/83.84 apply zenon_H2db. apply sym_equal. exact zenon_H2da.
% 83.65/83.84 (* end of lemma zenon_L501_ *)
% 83.65/83.84 assert (zenon_L502_ : (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e13) (e12)) (e13)) = (e12)) -> ((op1 (e13) (e12)) = (e12)) -> ((op1 (e13) (e13)) = (e12)) -> False).
% 83.65/83.84 do 0 intro. intros zenon_H426 zenon_H437 zenon_H32d zenon_H2da.
% 83.65/83.84 cut (((op1 (op1 (e13) (e12)) (e13)) = (e12)) = ((op1 (e12) (e13)) = (op1 (e13) (e13)))).
% 83.65/83.84 intro zenon_D_pnotp.
% 83.65/83.84 apply zenon_H426.
% 83.65/83.84 rewrite <- zenon_D_pnotp.
% 83.65/83.84 exact zenon_H437.
% 83.65/83.84 cut (((e12) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2db].
% 83.65/83.84 cut (((op1 (op1 (e13) (e12)) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H43a].
% 83.65/83.84 congruence.
% 83.65/83.84 elim (classic ((op1 (e12) (e13)) = (op1 (e12) (e13)))); [ zenon_intro zenon_H2bd | zenon_intro zenon_H2be ].
% 83.65/83.84 cut (((op1 (e12) (e13)) = (op1 (e12) (e13))) = ((op1 (op1 (e13) (e12)) (e13)) = (op1 (e12) (e13)))).
% 83.65/83.84 intro zenon_D_pnotp.
% 83.65/83.84 apply zenon_H43a.
% 83.65/83.84 rewrite <- zenon_D_pnotp.
% 83.65/83.84 exact zenon_H2bd.
% 83.65/83.84 cut (((op1 (e12) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2be].
% 83.65/83.84 cut (((op1 (e12) (e13)) = (op1 (op1 (e13) (e12)) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H439].
% 83.65/83.84 congruence.
% 83.65/83.84 apply (zenon_L492_); trivial.
% 83.65/83.84 apply zenon_H2be. apply refl_equal.
% 83.65/83.84 apply zenon_H2be. apply refl_equal.
% 83.65/83.84 apply zenon_H2db. apply sym_equal. exact zenon_H2da.
% 83.65/83.84 (* end of lemma zenon_L502_ *)
% 83.65/83.84 assert (zenon_L503_ : (~((op1 (e13) (op1 (e13) (e12))) = (e12))) -> ((op1 (op1 (e13) (e12)) (e13)) = (e12)) -> ((op1 (e13) (e12)) = (e13)) -> False).
% 83.65/83.84 do 0 intro. intros zenon_H441 zenon_H437 zenon_H36d.
% 83.65/83.84 cut (((op1 (op1 (e13) (e12)) (e13)) = (e12)) = ((op1 (e13) (op1 (e13) (e12))) = (e12))).
% 83.65/83.84 intro zenon_D_pnotp.
% 83.65/83.84 apply zenon_H441.
% 83.65/83.84 rewrite <- zenon_D_pnotp.
% 83.65/83.84 exact zenon_H437.
% 83.65/83.84 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2b].
% 83.65/83.84 cut (((op1 (op1 (e13) (e12)) (e13)) = (op1 (e13) (op1 (e13) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H448].
% 83.65/83.84 congruence.
% 83.65/83.84 elim (classic ((op1 (e13) (op1 (e13) (e12))) = (op1 (e13) (op1 (e13) (e12))))); [ zenon_intro zenon_H443 | zenon_intro zenon_H444 ].
% 83.65/83.84 cut (((op1 (e13) (op1 (e13) (e12))) = (op1 (e13) (op1 (e13) (e12)))) = ((op1 (op1 (e13) (e12)) (e13)) = (op1 (e13) (op1 (e13) (e12))))).
% 83.65/83.84 intro zenon_D_pnotp.
% 83.65/83.84 apply zenon_H448.
% 83.65/83.84 rewrite <- zenon_D_pnotp.
% 83.65/83.84 exact zenon_H443.
% 83.65/83.84 cut (((op1 (e13) (op1 (e13) (e12))) = (op1 (e13) (op1 (e13) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H444].
% 83.65/83.84 cut (((op1 (e13) (op1 (e13) (e12))) = (op1 (op1 (e13) (e12)) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H449].
% 83.65/83.84 congruence.
% 83.65/83.84 cut (((op1 (e13) (e12)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H36e].
% 83.65/83.84 cut (((e13) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H3f6].
% 83.65/83.84 congruence.
% 83.65/83.84 apply zenon_H3f6. apply sym_equal. exact zenon_H36d.
% 83.65/83.84 exact (zenon_H36e zenon_H36d).
% 83.65/83.84 apply zenon_H444. apply refl_equal.
% 83.65/83.84 apply zenon_H444. apply refl_equal.
% 83.65/83.84 apply zenon_H2b. apply refl_equal.
% 83.65/83.84 (* end of lemma zenon_L503_ *)
% 83.65/83.84 assert (zenon_L504_ : (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((op1 (e13) (e13)) = (e12)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (op1 (e13) (e12))) = (e12))) -> ((op1 (op1 (e13) (e12)) (e13)) = (e12)) -> False).
% 83.65/83.84 do 0 intro. intros zenon_H43e zenon_H53 zenon_H204 zenon_H2c zenon_H14 zenon_H2da zenon_H426 zenon_H441 zenon_H437.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H43e); [ zenon_intro zenon_H19c | zenon_intro zenon_H43f ].
% 83.65/83.84 apply (zenon_L501_); trivial.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H43f); [ zenon_intro zenon_H203 | zenon_intro zenon_H440 ].
% 83.65/83.84 apply (zenon_L133_); trivial.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H440); [ zenon_intro zenon_H32d | zenon_intro zenon_H36d ].
% 83.65/83.84 apply (zenon_L502_); trivial.
% 83.65/83.84 apply (zenon_L503_); trivial.
% 83.65/83.84 (* end of lemma zenon_L504_ *)
% 83.65/83.84 assert (zenon_L505_ : ((~((op1 (e13) (op1 (e13) (e12))) = (e12)))/\(((op1 (op1 (e13) (e12)) (e13)) = (e12))/\(~((op1 (op1 (e13) (e12)) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> False).
% 83.65/83.84 do 0 intro. intros zenon_H44a zenon_H345 zenon_H49 zenon_H343 zenon_H1e4 zenon_H45 zenon_H50 zenon_H43e zenon_H53 zenon_H204 zenon_H2c zenon_H14 zenon_H426.
% 83.65/83.84 apply (zenon_and_s _ _ zenon_H44a). zenon_intro zenon_H441. zenon_intro zenon_H44b.
% 83.65/83.84 apply (zenon_and_s _ _ zenon_H44b). zenon_intro zenon_H437. zenon_intro zenon_H44c.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H345); [ zenon_intro zenon_H48 | zenon_intro zenon_H349 ].
% 83.65/83.84 apply (zenon_L14_); trivial.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H349); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H34a ].
% 83.65/83.84 apply (zenon_L496_); trivial.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H34a); [ zenon_intro zenon_H1b4 | zenon_intro zenon_H2da ].
% 83.65/83.84 apply (zenon_L500_); trivial.
% 83.65/83.84 apply (zenon_L504_); trivial.
% 83.65/83.84 (* end of lemma zenon_L505_ *)
% 83.65/83.84 assert (zenon_L506_ : ((~((op1 (e13) (op1 (e13) (e13))) = (e13)))/\(((op1 (op1 (e13) (e13)) (e13)) = (e13))/\(~((op1 (op1 (e13) (e13)) (e13)) = (e13))))) -> False).
% 83.65/83.84 do 0 intro. intros zenon_H44d.
% 83.65/83.84 apply (zenon_and_s _ _ zenon_H44d). zenon_intro zenon_H3a1. zenon_intro zenon_H44e.
% 83.65/83.84 apply (zenon_and_s _ _ zenon_H44e). zenon_intro zenon_H450. zenon_intro zenon_H44f.
% 83.65/83.84 exact (zenon_H44f zenon_H450).
% 83.65/83.84 (* end of lemma zenon_L506_ *)
% 83.65/83.84 assert (zenon_L507_ : (~((op2 (e20) (op2 (e20) (e21))) = (op2 (e20) (e23)))) -> ((op2 (e20) (e21)) = (e23)) -> False).
% 83.65/83.84 do 0 intro. intros zenon_H451 zenon_Hb8.
% 83.65/83.84 cut (((op2 (e20) (e21)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H14a].
% 83.65/83.84 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H60].
% 83.65/83.84 congruence.
% 83.65/83.84 apply zenon_H60. apply refl_equal.
% 83.65/83.84 exact (zenon_H14a zenon_Hb8).
% 83.65/83.84 (* end of lemma zenon_L507_ *)
% 83.65/83.84 assert (zenon_L508_ : (~((op2 (e20) (op2 (e20) (e21))) = (e20))) -> ((op2 (e20) (e23)) = (e20)) -> ((op2 (e20) (e21)) = (e23)) -> False).
% 83.65/83.84 do 0 intro. intros zenon_H452 zenon_H63 zenon_Hb8.
% 83.65/83.84 cut (((op2 (e20) (e23)) = (e20)) = ((op2 (e20) (op2 (e20) (e21))) = (e20))).
% 83.65/83.84 intro zenon_D_pnotp.
% 83.65/83.84 apply zenon_H452.
% 83.65/83.84 rewrite <- zenon_D_pnotp.
% 83.65/83.84 exact zenon_H63.
% 83.65/83.84 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H60].
% 83.65/83.84 cut (((op2 (e20) (e23)) = (op2 (e20) (op2 (e20) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H453].
% 83.65/83.84 congruence.
% 83.65/83.84 elim (classic ((op2 (e20) (op2 (e20) (e21))) = (op2 (e20) (op2 (e20) (e21))))); [ zenon_intro zenon_H454 | zenon_intro zenon_H455 ].
% 83.65/83.84 cut (((op2 (e20) (op2 (e20) (e21))) = (op2 (e20) (op2 (e20) (e21)))) = ((op2 (e20) (e23)) = (op2 (e20) (op2 (e20) (e21))))).
% 83.65/83.84 intro zenon_D_pnotp.
% 83.65/83.84 apply zenon_H453.
% 83.65/83.84 rewrite <- zenon_D_pnotp.
% 83.65/83.84 exact zenon_H454.
% 83.65/83.84 cut (((op2 (e20) (op2 (e20) (e21))) = (op2 (e20) (op2 (e20) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H455].
% 83.65/83.84 cut (((op2 (e20) (op2 (e20) (e21))) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H451].
% 83.65/83.84 congruence.
% 83.65/83.84 apply (zenon_L507_); trivial.
% 83.65/83.84 apply zenon_H455. apply refl_equal.
% 83.65/83.84 apply zenon_H455. apply refl_equal.
% 83.65/83.84 apply zenon_H60. apply refl_equal.
% 83.65/83.84 (* end of lemma zenon_L508_ *)
% 83.65/83.84 assert (zenon_L509_ : (((op2 (e21) (e20)) = (op2 (e20) (e21)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e20)))/\((~((op2 (e21) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e20) (e21))) = (e22)))/\(~((op2 (e23) (op2 (e20) (e21))) = (e23))))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.65/83.84 do 0 intro. intros zenon_H456 zenon_Hc9 zenon_Hb2 zenon_H78 zenon_H82 zenon_H7c zenon_H94 zenon_H8e zenon_H91 zenon_H73 zenon_Hce zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a.
% 83.65/83.84 apply (zenon_and_s _ _ zenon_H456). zenon_intro zenon_H458. zenon_intro zenon_H457.
% 83.65/83.84 apply (zenon_and_s _ _ zenon_H457). zenon_intro zenon_H452. zenon_intro zenon_H459.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ].
% 83.65/83.84 apply (zenon_L43_); trivial.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ].
% 83.65/83.84 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H63 | zenon_intro zenon_Hcf ].
% 83.65/83.84 apply (zenon_L508_); trivial.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H74 | zenon_intro zenon_Hd0 ].
% 83.65/83.84 apply (zenon_L32_); trivial.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H92 | zenon_intro zenon_H95 ].
% 83.65/83.84 apply (zenon_L34_); trivial.
% 83.65/83.84 apply (zenon_L36_); trivial.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ].
% 83.65/83.84 apply (zenon_L46_); trivial.
% 83.65/83.84 apply (zenon_L31_); trivial.
% 83.65/83.84 (* end of lemma zenon_L509_ *)
% 83.65/83.84 assert (zenon_L510_ : (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e22)) = (e21)) -> ((op2 (e22) (e20)) = (op2 (e20) (e22))) -> ((op2 (e23) (e20)) = (e21)) -> False).
% 83.65/83.84 do 0 intro. intros zenon_Hbc zenon_H45a zenon_H45b zenon_H10c.
% 83.65/83.84 cut (((op2 (e20) (e22)) = (e21)) = ((op2 (e22) (e20)) = (op2 (e23) (e20)))).
% 83.65/83.84 intro zenon_D_pnotp.
% 83.65/83.84 apply zenon_Hbc.
% 83.65/83.84 rewrite <- zenon_D_pnotp.
% 83.65/83.84 exact zenon_H45a.
% 83.65/83.84 cut (((e21) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H45c].
% 83.65/83.84 cut (((op2 (e20) (e22)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H45d].
% 83.65/83.84 congruence.
% 83.65/83.84 elim (classic ((op2 (e22) (e20)) = (op2 (e22) (e20)))); [ zenon_intro zenon_Hf0 | zenon_intro zenon_Hf1 ].
% 83.65/83.84 cut (((op2 (e22) (e20)) = (op2 (e22) (e20))) = ((op2 (e20) (e22)) = (op2 (e22) (e20)))).
% 83.65/83.84 intro zenon_D_pnotp.
% 83.65/83.84 apply zenon_H45d.
% 83.65/83.84 rewrite <- zenon_D_pnotp.
% 83.65/83.84 exact zenon_Hf0.
% 83.65/83.84 cut (((op2 (e22) (e20)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hf1].
% 83.65/83.84 cut (((op2 (e22) (e20)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H45e].
% 83.65/83.84 congruence.
% 83.65/83.84 exact (zenon_H45e zenon_H45b).
% 83.65/83.84 apply zenon_Hf1. apply refl_equal.
% 83.65/83.84 apply zenon_Hf1. apply refl_equal.
% 83.65/83.84 apply zenon_H45c. apply sym_equal. exact zenon_H10c.
% 83.65/83.84 (* end of lemma zenon_L510_ *)
% 83.65/83.84 assert (zenon_L511_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> ((op2 (e22) (e20)) = (op2 (e20) (e22))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((op2 (e21) (e20)) = (e20)) -> (~((e20) = (e21))) -> (~((e21) = (e22))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> False).
% 83.65/83.84 do 0 intro. intros zenon_H45f zenon_H45b zenon_Hbc zenon_Hc9 zenon_Hb2 zenon_Hba zenon_Hc3 zenon_H5d zenon_H8a zenon_Hab zenon_Had zenon_Ha8 zenon_H15b zenon_H7a zenon_H78 zenon_H7c.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H45f); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H460 ].
% 83.65/83.84 apply (zenon_L41_); trivial.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H460); [ zenon_intro zenon_H139 | zenon_intro zenon_H461 ].
% 83.65/83.84 apply (zenon_L76_); trivial.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H461); [ zenon_intro zenon_H45a | zenon_intro zenon_H7b ].
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.65/83.84 apply (zenon_L41_); trivial.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.65/83.84 apply (zenon_L42_); trivial.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.65/83.84 apply (zenon_L47_); trivial.
% 83.65/83.84 apply (zenon_L510_); trivial.
% 83.65/83.84 apply (zenon_L28_); trivial.
% 83.65/83.84 (* end of lemma zenon_L511_ *)
% 83.65/83.84 assert (zenon_L512_ : (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e23)) = (e20)) -> ((op2 (e23) (e20)) = (op2 (e20) (e23))) -> ((op2 (e23) (e22)) = (e20)) -> False).
% 83.65/83.84 do 0 intro. intros zenon_H462 zenon_H63 zenon_H463 zenon_H121.
% 83.65/83.84 cut (((op2 (e20) (e23)) = (e20)) = ((op2 (e23) (e20)) = (op2 (e23) (e22)))).
% 83.65/83.84 intro zenon_D_pnotp.
% 83.65/83.84 apply zenon_H462.
% 83.65/83.84 rewrite <- zenon_D_pnotp.
% 83.65/83.84 exact zenon_H63.
% 83.65/83.84 cut (((e20) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H122].
% 83.65/83.84 cut (((op2 (e20) (e23)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H464].
% 83.65/83.84 congruence.
% 83.65/83.84 elim (classic ((op2 (e23) (e20)) = (op2 (e23) (e20)))); [ zenon_intro zenon_Hbd | zenon_intro zenon_Hbe ].
% 83.65/83.84 cut (((op2 (e23) (e20)) = (op2 (e23) (e20))) = ((op2 (e20) (e23)) = (op2 (e23) (e20)))).
% 83.65/83.84 intro zenon_D_pnotp.
% 83.65/83.84 apply zenon_H464.
% 83.65/83.84 rewrite <- zenon_D_pnotp.
% 83.65/83.84 exact zenon_Hbd.
% 83.65/83.84 cut (((op2 (e23) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hbe].
% 83.65/83.84 cut (((op2 (e23) (e20)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H465].
% 83.65/83.84 congruence.
% 83.65/83.84 exact (zenon_H465 zenon_H463).
% 83.65/83.84 apply zenon_Hbe. apply refl_equal.
% 83.65/83.84 apply zenon_Hbe. apply refl_equal.
% 83.65/83.84 apply zenon_H122. apply sym_equal. exact zenon_H121.
% 83.65/83.84 (* end of lemma zenon_L512_ *)
% 83.65/83.84 assert (zenon_L513_ : (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((op2 (e23) (e22)) = (e20)) -> ((op2 (e23) (e20)) = (op2 (e20) (e23))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.65/83.84 do 0 intro. intros zenon_Hce zenon_H121 zenon_H463 zenon_H462 zenon_H73 zenon_H91 zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H63 | zenon_intro zenon_Hcf ].
% 83.65/83.84 apply (zenon_L512_); trivial.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H74 | zenon_intro zenon_Hd0 ].
% 83.65/83.84 apply (zenon_L32_); trivial.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H92 | zenon_intro zenon_H95 ].
% 83.65/83.84 apply (zenon_L34_); trivial.
% 83.65/83.84 apply (zenon_L36_); trivial.
% 83.65/83.84 (* end of lemma zenon_L513_ *)
% 83.65/83.84 assert (zenon_L514_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e20) = (e21))) -> ((op2 (e23) (e20)) = (e21)) -> (~((e20) = (e22))) -> ((op2 (e23) (e21)) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e20)) = (op2 (e20) (e23))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.65/83.84 do 0 intro. intros zenon_H134 zenon_Had zenon_H10c zenon_Ha3 zenon_H10f zenon_H91 zenon_H73 zenon_H462 zenon_H463 zenon_Hce zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H10b | zenon_intro zenon_H137 ].
% 83.65/83.84 apply (zenon_L64_); trivial.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H11e | zenon_intro zenon_H138 ].
% 83.65/83.84 apply (zenon_L69_); trivial.
% 83.65/83.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H121 | zenon_intro zenon_H95 ].
% 83.65/83.84 apply (zenon_L513_); trivial.
% 83.65/83.84 apply (zenon_L36_); trivial.
% 83.65/83.84 (* end of lemma zenon_L514_ *)
% 83.65/83.84 assert (zenon_L515_ : (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((e21) = (e22))) -> ((op2 (e21) (e21)) = (e21)) -> ((op2 (e22) (e21)) = (e20)) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e20) = (e21))) -> ((op2 (e23) (e20)) = (e21)) -> (~((e20) = (e22))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e20)) = (op2 (e20) (e23))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.65/83.85 do 0 intro. intros zenon_H133 zenon_Hb2 zenon_Ha8 zenon_He1 zenon_He4 zenon_H134 zenon_Had zenon_H10c zenon_Ha3 zenon_H91 zenon_H73 zenon_H462 zenon_H463 zenon_Hce zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H105 | zenon_intro zenon_H135 ].
% 83.65/83.85 apply (zenon_L63_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_He2 | zenon_intro zenon_H136 ].
% 83.65/83.85 apply (zenon_L54_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H10f ].
% 83.65/83.85 apply (zenon_L58_); trivial.
% 83.65/83.85 apply (zenon_L514_); trivial.
% 83.65/83.85 (* end of lemma zenon_L515_ *)
% 83.65/83.85 assert (zenon_L516_ : (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e22) (e20)) = (e23)) -> (~((e20) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> (~((e20) = (e22))) -> ((op2 (e22) (e21)) = (e20)) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e21) = (e22))) -> False).
% 83.65/83.85 do 0 intro. intros zenon_H102 zenon_Hd6 zenon_H152 zenon_Had zenon_He8 zenon_H7a zenon_Hff zenon_Hef zenon_H78 zenon_Ha3 zenon_He4 zenon_Hf8 zenon_Hf7 zenon_Ha8.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hbb | zenon_intro zenon_H103 ].
% 83.65/83.85 apply (zenon_L83_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_He5 | zenon_intro zenon_H104 ].
% 83.65/83.85 apply (zenon_L55_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_He7 | zenon_intro zenon_Hfc ].
% 83.65/83.85 apply (zenon_L56_); trivial.
% 83.65/83.85 apply (zenon_L61_); trivial.
% 83.65/83.85 (* end of lemma zenon_L516_ *)
% 83.65/83.85 assert (zenon_L517_ : (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e20)) = (e21)) -> ((op2 (e23) (e21)) = (e21)) -> False).
% 83.65/83.85 do 0 intro. intros zenon_H13e zenon_H10c zenon_H10e.
% 83.65/83.85 cut (((op2 (e23) (e20)) = (e21)) = ((op2 (e23) (e20)) = (op2 (e23) (e21)))).
% 83.65/83.85 intro zenon_D_pnotp.
% 83.65/83.85 apply zenon_H13e.
% 83.65/83.85 rewrite <- zenon_D_pnotp.
% 83.65/83.85 exact zenon_H10c.
% 83.65/83.85 cut (((e21) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H13f].
% 83.65/83.85 cut (((op2 (e23) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hbe].
% 83.65/83.85 congruence.
% 83.65/83.85 apply zenon_Hbe. apply refl_equal.
% 83.65/83.85 apply zenon_H13f. apply sym_equal. exact zenon_H10e.
% 83.65/83.85 (* end of lemma zenon_L517_ *)
% 83.65/83.85 assert (zenon_L518_ : (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e21) = (e22))) -> ((op2 (e21) (e23)) = (e21)) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e22) (e20)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> (~((e20) = (e22))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((e20) = (e21))) -> ((op2 (e22) (e21)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e20)) = (e21)) -> False).
% 83.65/83.85 do 0 intro. intros zenon_H141 zenon_Hc3 zenon_Ha8 zenon_H13c zenon_H102 zenon_Hd6 zenon_H152 zenon_He8 zenon_H7a zenon_Hff zenon_Hef zenon_H78 zenon_Ha3 zenon_Hf7 zenon_Hdc zenon_H142 zenon_Had zenon_He4 zenon_H13e zenon_H10c.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H139 | zenon_intro zenon_H147 ].
% 83.65/83.85 apply (zenon_L76_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_He1 | zenon_intro zenon_H148 ].
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 83.65/83.85 apply (zenon_L53_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_He2 | zenon_intro zenon_H146 ].
% 83.65/83.85 apply (zenon_L54_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H130 ].
% 83.65/83.85 apply (zenon_L516_); trivial.
% 83.65/83.85 apply (zenon_L77_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_He5 | zenon_intro zenon_H10e ].
% 83.65/83.85 apply (zenon_L55_); trivial.
% 83.65/83.85 apply (zenon_L517_); trivial.
% 83.65/83.85 (* end of lemma zenon_L518_ *)
% 83.65/83.85 assert (zenon_L519_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((op2 (e21) (e20)) = (e20)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((op2 (e23) (e20)) = (op2 (e20) (e23))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e21) = (e22))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e22) (e20)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> (~((e20) = (e22))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((e20) = (e21))) -> ((op2 (e22) (e21)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e20)) = (e21)) -> False).
% 83.65/83.85 do 0 intro. intros zenon_H140 zenon_Hab zenon_H8a zenon_H5d zenon_H82 zenon_H7c zenon_H94 zenon_H8e zenon_Hce zenon_H463 zenon_H462 zenon_H73 zenon_H91 zenon_H134 zenon_Hb2 zenon_H133 zenon_H124 zenon_H141 zenon_Hc3 zenon_Ha8 zenon_H102 zenon_Hd6 zenon_H152 zenon_He8 zenon_H7a zenon_Hff zenon_Hef zenon_H78 zenon_Ha3 zenon_Hf7 zenon_Hdc zenon_H142 zenon_Had zenon_He4 zenon_H13e zenon_H10c.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ].
% 83.65/83.85 apply (zenon_L42_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ].
% 83.65/83.85 apply (zenon_L515_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ].
% 83.65/83.85 apply (zenon_L71_); trivial.
% 83.65/83.85 apply (zenon_L518_); trivial.
% 83.65/83.85 (* end of lemma zenon_L519_ *)
% 83.65/83.85 assert (zenon_L520_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e21) = (e23))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((e20) = (e21))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e20) = (e22))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((e21) = (e22))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e20)) = (op2 (e20) (e23))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((op2 (e21) (e20)) = (e20)) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.65/83.85 do 0 intro. intros zenon_H15b zenon_Hd6 zenon_H14f zenon_Hd1 zenon_H13e zenon_Had zenon_H142 zenon_Hdc zenon_Hf7 zenon_Ha3 zenon_H78 zenon_Hef zenon_Hff zenon_He8 zenon_H102 zenon_Ha8 zenon_H141 zenon_H124 zenon_H133 zenon_Hb2 zenon_H134 zenon_H91 zenon_H73 zenon_H462 zenon_H463 zenon_Hce zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_Hab zenon_H140 zenon_H14b zenon_Hba zenon_Hc9 zenon_Hbc zenon_H12c zenon_H11f zenon_H129 zenon_H11b zenon_H112 zenon_H118 zenon_H12f zenon_H15c zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.65/83.85 apply (zenon_L41_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.65/83.85 apply (zenon_L42_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.65/83.85 apply (zenon_L47_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ].
% 83.65/83.85 apply (zenon_L43_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ].
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ].
% 83.65/83.85 apply (zenon_L43_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ].
% 83.65/83.85 apply (zenon_L82_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ].
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ].
% 83.65/83.85 apply (zenon_L49_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ].
% 83.65/83.85 apply (zenon_L50_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ].
% 83.65/83.85 apply (zenon_L519_); trivial.
% 83.65/83.85 apply (zenon_L81_); trivial.
% 83.65/83.85 apply (zenon_L88_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ].
% 83.65/83.85 apply (zenon_L46_); trivial.
% 83.65/83.85 apply (zenon_L31_); trivial.
% 83.65/83.85 (* end of lemma zenon_L520_ *)
% 83.65/83.85 assert (zenon_L521_ : (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e21) (e20)) = (e20)) -> ((op2 (e20) (e21)) = (op2 (e21) (e20))) -> ((op2 (e22) (e21)) = (e20)) -> False).
% 83.65/83.85 do 0 intro. intros zenon_H466 zenon_Hab zenon_H467 zenon_He4.
% 83.65/83.85 cut (((op2 (e21) (e20)) = (e20)) = ((op2 (e20) (e21)) = (op2 (e22) (e21)))).
% 83.65/83.85 intro zenon_D_pnotp.
% 83.65/83.85 apply zenon_H466.
% 83.65/83.85 rewrite <- zenon_D_pnotp.
% 83.65/83.85 exact zenon_Hab.
% 83.65/83.85 cut (((e20) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H468].
% 83.65/83.85 cut (((op2 (e21) (e20)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H469].
% 83.65/83.85 congruence.
% 83.65/83.85 elim (classic ((op2 (e20) (e21)) = (op2 (e20) (e21)))); [ zenon_intro zenon_H106 | zenon_intro zenon_H107 ].
% 83.65/83.85 cut (((op2 (e20) (e21)) = (op2 (e20) (e21))) = ((op2 (e21) (e20)) = (op2 (e20) (e21)))).
% 83.65/83.85 intro zenon_D_pnotp.
% 83.65/83.85 apply zenon_H469.
% 83.65/83.85 rewrite <- zenon_D_pnotp.
% 83.65/83.85 exact zenon_H106.
% 83.65/83.85 cut (((op2 (e20) (e21)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H107].
% 83.65/83.85 cut (((op2 (e20) (e21)) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H46a].
% 83.65/83.85 congruence.
% 83.65/83.85 exact (zenon_H46a zenon_H467).
% 83.65/83.85 apply zenon_H107. apply refl_equal.
% 83.65/83.85 apply zenon_H107. apply refl_equal.
% 83.65/83.85 apply zenon_H468. apply sym_equal. exact zenon_He4.
% 83.65/83.85 (* end of lemma zenon_L521_ *)
% 83.65/83.85 assert (zenon_L522_ : (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e21) (e20)) = (e20)) -> ((op2 (e20) (e21)) = (op2 (e21) (e20))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.65/83.85 do 0 intro. intros zenon_Hc9 zenon_Hb2 zenon_H14b zenon_H466 zenon_Hab zenon_H467 zenon_Hd1 zenon_Hce zenon_H73 zenon_H91 zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H78 zenon_H14f zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ].
% 83.65/83.85 apply (zenon_L43_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ].
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ].
% 83.65/83.85 apply (zenon_L49_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ].
% 83.65/83.85 apply (zenon_L50_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ].
% 83.65/83.85 apply (zenon_L521_); trivial.
% 83.65/83.85 apply (zenon_L81_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ].
% 83.65/83.85 apply (zenon_L46_); trivial.
% 83.65/83.85 apply (zenon_L31_); trivial.
% 83.65/83.85 (* end of lemma zenon_L522_ *)
% 83.65/83.85 assert (zenon_L523_ : (~((op2 (e21) (op2 (e21) (e21))) = (op2 (e21) (e21)))) -> ((op2 (e21) (e21)) = (e21)) -> False).
% 83.65/83.85 do 0 intro. intros zenon_H46b zenon_He1.
% 83.65/83.85 cut (((op2 (e21) (e21)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H46c].
% 83.65/83.85 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Haf].
% 83.65/83.85 congruence.
% 83.65/83.85 apply zenon_Haf. apply refl_equal.
% 83.65/83.85 exact (zenon_H46c zenon_He1).
% 83.65/83.85 (* end of lemma zenon_L523_ *)
% 83.65/83.85 assert (zenon_L524_ : (~((op2 (e21) (op2 (e21) (e21))) = (e21))) -> ((op2 (e21) (e21)) = (e21)) -> False).
% 83.65/83.85 do 0 intro. intros zenon_H46d zenon_He1.
% 83.65/83.85 cut (((op2 (e21) (e21)) = (e21)) = ((op2 (e21) (op2 (e21) (e21))) = (e21))).
% 83.65/83.85 intro zenon_D_pnotp.
% 83.65/83.85 apply zenon_H46d.
% 83.65/83.85 rewrite <- zenon_D_pnotp.
% 83.65/83.85 exact zenon_He1.
% 83.65/83.85 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Haf].
% 83.65/83.85 cut (((op2 (e21) (e21)) = (op2 (e21) (op2 (e21) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H46e].
% 83.65/83.85 congruence.
% 83.65/83.85 elim (classic ((op2 (e21) (op2 (e21) (e21))) = (op2 (e21) (op2 (e21) (e21))))); [ zenon_intro zenon_H46f | zenon_intro zenon_H470 ].
% 83.65/83.85 cut (((op2 (e21) (op2 (e21) (e21))) = (op2 (e21) (op2 (e21) (e21)))) = ((op2 (e21) (e21)) = (op2 (e21) (op2 (e21) (e21))))).
% 83.65/83.85 intro zenon_D_pnotp.
% 83.65/83.85 apply zenon_H46e.
% 83.65/83.85 rewrite <- zenon_D_pnotp.
% 83.65/83.85 exact zenon_H46f.
% 83.65/83.85 cut (((op2 (e21) (op2 (e21) (e21))) = (op2 (e21) (op2 (e21) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H470].
% 83.65/83.85 cut (((op2 (e21) (op2 (e21) (e21))) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H46b].
% 83.65/83.85 congruence.
% 83.65/83.85 apply (zenon_L523_); trivial.
% 83.65/83.85 apply zenon_H470. apply refl_equal.
% 83.65/83.85 apply zenon_H470. apply refl_equal.
% 83.65/83.85 apply zenon_Haf. apply refl_equal.
% 83.65/83.85 (* end of lemma zenon_L524_ *)
% 83.65/83.85 assert (zenon_L525_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((op2 (e21) (e20)) = (e20)) -> (~((op2 (e21) (op2 (e21) (e21))) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e21) = (e22))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e22) (e20)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> (~((e20) = (e22))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((e20) = (e21))) -> ((op2 (e22) (e21)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e20)) = (e21)) -> False).
% 83.65/83.85 do 0 intro. intros zenon_H140 zenon_Hab zenon_H46d zenon_H124 zenon_H141 zenon_Hc3 zenon_Ha8 zenon_H102 zenon_Hd6 zenon_H152 zenon_He8 zenon_H7a zenon_Hff zenon_Hef zenon_H78 zenon_Ha3 zenon_Hf7 zenon_Hdc zenon_H142 zenon_Had zenon_He4 zenon_H13e zenon_H10c.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ].
% 83.65/83.85 apply (zenon_L42_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ].
% 83.65/83.85 apply (zenon_L524_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ].
% 83.65/83.85 apply (zenon_L71_); trivial.
% 83.65/83.85 apply (zenon_L518_); trivial.
% 83.65/83.85 (* end of lemma zenon_L525_ *)
% 83.65/83.85 assert (zenon_L526_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e21) = (e23))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((e20) = (e21))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e20) = (e22))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((e21) = (e22))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (op2 (e21) (e21))) = (e21))) -> ((op2 (e21) (e20)) = (e20)) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.65/83.85 do 0 intro. intros zenon_H15b zenon_Hd6 zenon_H14f zenon_H82 zenon_H7c zenon_H94 zenon_H8e zenon_H91 zenon_H73 zenon_Hce zenon_Hd1 zenon_H13e zenon_Had zenon_H142 zenon_Hdc zenon_Hf7 zenon_Ha3 zenon_H78 zenon_Hef zenon_Hff zenon_He8 zenon_H102 zenon_Ha8 zenon_H141 zenon_H124 zenon_H46d zenon_Hab zenon_H140 zenon_H14b zenon_Hba zenon_Hc9 zenon_Hb2 zenon_Hbc zenon_H133 zenon_H12c zenon_H11f zenon_H129 zenon_H11b zenon_H112 zenon_H118 zenon_H134 zenon_H12f zenon_H15c zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.65/83.85 apply (zenon_L41_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.65/83.85 apply (zenon_L42_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.65/83.85 apply (zenon_L47_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ].
% 83.65/83.85 apply (zenon_L43_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ].
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ].
% 83.65/83.85 apply (zenon_L43_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ].
% 83.65/83.85 apply (zenon_L82_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ].
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ].
% 83.65/83.85 apply (zenon_L49_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ].
% 83.65/83.85 apply (zenon_L50_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ].
% 83.65/83.85 apply (zenon_L525_); trivial.
% 83.65/83.85 apply (zenon_L81_); trivial.
% 83.65/83.85 apply (zenon_L88_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ].
% 83.65/83.85 apply (zenon_L46_); trivial.
% 83.65/83.85 apply (zenon_L31_); trivial.
% 83.65/83.85 (* end of lemma zenon_L526_ *)
% 83.65/83.85 assert (zenon_L527_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e20) = (e21))) -> ((op2 (e23) (e20)) = (e21)) -> (~((e20) = (e22))) -> ((op2 (e23) (e21)) = (e22)) -> ((op2 (e21) (e20)) = (e23)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e22)) = (e22)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.65/83.85 do 0 intro. intros zenon_H134 zenon_Had zenon_H10c zenon_Ha3 zenon_H10f zenon_Hd5 zenon_H129 zenon_Hf7 zenon_Hf9 zenon_H124 zenon_H11f zenon_H12c zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H10b | zenon_intro zenon_H137 ].
% 83.65/83.85 apply (zenon_L64_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H11e | zenon_intro zenon_H138 ].
% 83.65/83.85 apply (zenon_L69_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H121 | zenon_intro zenon_H95 ].
% 83.65/83.85 apply (zenon_L73_); trivial.
% 83.65/83.85 apply (zenon_L36_); trivial.
% 83.65/83.85 (* end of lemma zenon_L527_ *)
% 83.65/83.85 assert (zenon_L528_ : (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e22) (e21)) = (e20)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (e20)) = (e23)) -> ((op2 (e23) (e21)) = (e22)) -> (~((e20) = (e22))) -> ((op2 (e23) (e20)) = (e21)) -> (~((e20) = (e21))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (e23)) = (e22)) -> False).
% 83.65/83.85 do 0 intro. intros zenon_Hff zenon_Hef zenon_He4 zenon_H8a zenon_H7a zenon_H5d zenon_H78 zenon_H82 zenon_H7c zenon_H94 zenon_H8e zenon_H12c zenon_H11f zenon_H124 zenon_Hf7 zenon_H129 zenon_Hd5 zenon_H10f zenon_Ha3 zenon_H10c zenon_Had zenon_H134 zenon_H12f zenon_H130.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Hee | zenon_intro zenon_H100 ].
% 83.65/83.85 apply (zenon_L57_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H101 ].
% 83.65/83.85 apply (zenon_L58_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_Hf9 | zenon_intro zenon_Hfd ].
% 83.65/83.85 apply (zenon_L527_); trivial.
% 83.65/83.85 apply (zenon_L74_); trivial.
% 83.65/83.85 (* end of lemma zenon_L528_ *)
% 83.65/83.85 assert (zenon_L529_ : ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((op2 (e21) (e21)) = (e23)) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> False).
% 83.65/83.85 do 0 intro. intros zenon_H5d zenon_H471 zenon_H7a zenon_H472.
% 83.65/83.85 elim (classic ((op2 (e21) (e21)) = (op2 (e21) (e21)))); [ zenon_intro zenon_H473 | zenon_intro zenon_H474 ].
% 83.65/83.85 cut (((op2 (e21) (e21)) = (op2 (e21) (e21))) = ((op2 (e20) (e21)) = (op2 (e21) (e21)))).
% 83.65/83.85 intro zenon_D_pnotp.
% 83.65/83.85 apply zenon_H472.
% 83.65/83.85 rewrite <- zenon_D_pnotp.
% 83.65/83.85 exact zenon_H473.
% 83.65/83.85 cut (((op2 (e21) (e21)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H474].
% 83.65/83.85 cut (((op2 (e21) (e21)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H475].
% 83.65/83.85 congruence.
% 83.65/83.85 cut (((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) = ((op2 (e21) (e21)) = (op2 (e20) (e21)))).
% 83.65/83.85 intro zenon_D_pnotp.
% 83.65/83.85 apply zenon_H475.
% 83.65/83.85 rewrite <- zenon_D_pnotp.
% 83.65/83.85 exact zenon_H5d.
% 83.65/83.85 cut (((op2 (e20) (op2 (e20) (op2 (e20) (e20)))) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H87].
% 83.65/83.85 cut (((e23) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H476].
% 83.65/83.85 congruence.
% 83.65/83.85 elim (classic ((op2 (e21) (e21)) = (op2 (e21) (e21)))); [ zenon_intro zenon_H473 | zenon_intro zenon_H474 ].
% 83.65/83.85 cut (((op2 (e21) (e21)) = (op2 (e21) (e21))) = ((e23) = (op2 (e21) (e21)))).
% 83.65/83.85 intro zenon_D_pnotp.
% 83.65/83.85 apply zenon_H476.
% 83.65/83.85 rewrite <- zenon_D_pnotp.
% 83.65/83.85 exact zenon_H473.
% 83.65/83.85 cut (((op2 (e21) (e21)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H474].
% 83.65/83.85 cut (((op2 (e21) (e21)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H477].
% 83.65/83.85 congruence.
% 83.65/83.85 exact (zenon_H477 zenon_H471).
% 83.65/83.85 apply zenon_H474. apply refl_equal.
% 83.65/83.85 apply zenon_H474. apply refl_equal.
% 83.65/83.85 apply (zenon_L30_); trivial.
% 83.65/83.85 apply zenon_H474. apply refl_equal.
% 83.65/83.85 apply zenon_H474. apply refl_equal.
% 83.65/83.85 (* end of lemma zenon_L529_ *)
% 83.65/83.85 assert (zenon_L530_ : (~((op2 (e20) (op2 (e21) (e22))) = (op2 (e20) (e23)))) -> ((op2 (e21) (e22)) = (e23)) -> False).
% 83.65/83.85 do 0 intro. intros zenon_H478 zenon_H12a.
% 83.65/83.85 cut (((op2 (e21) (e22)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H479].
% 83.65/83.85 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H60].
% 83.65/83.85 congruence.
% 83.65/83.85 apply zenon_H60. apply refl_equal.
% 83.65/83.85 exact (zenon_H479 zenon_H12a).
% 83.65/83.85 (* end of lemma zenon_L530_ *)
% 83.65/83.85 assert (zenon_L531_ : (~((op2 (e20) (op2 (e21) (e22))) = (e20))) -> ((op2 (e20) (e23)) = (e20)) -> ((op2 (e21) (e22)) = (e23)) -> False).
% 83.65/83.85 do 0 intro. intros zenon_H47a zenon_H63 zenon_H12a.
% 83.65/83.85 cut (((op2 (e20) (e23)) = (e20)) = ((op2 (e20) (op2 (e21) (e22))) = (e20))).
% 83.65/83.85 intro zenon_D_pnotp.
% 83.65/83.85 apply zenon_H47a.
% 83.65/83.85 rewrite <- zenon_D_pnotp.
% 83.65/83.85 exact zenon_H63.
% 83.65/83.85 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H60].
% 83.65/83.85 cut (((op2 (e20) (e23)) = (op2 (e20) (op2 (e21) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H47b].
% 83.65/83.85 congruence.
% 83.65/83.85 elim (classic ((op2 (e20) (op2 (e21) (e22))) = (op2 (e20) (op2 (e21) (e22))))); [ zenon_intro zenon_H47c | zenon_intro zenon_H47d ].
% 83.65/83.85 cut (((op2 (e20) (op2 (e21) (e22))) = (op2 (e20) (op2 (e21) (e22)))) = ((op2 (e20) (e23)) = (op2 (e20) (op2 (e21) (e22))))).
% 83.65/83.85 intro zenon_D_pnotp.
% 83.65/83.85 apply zenon_H47b.
% 83.65/83.85 rewrite <- zenon_D_pnotp.
% 83.65/83.85 exact zenon_H47c.
% 83.65/83.85 cut (((op2 (e20) (op2 (e21) (e22))) = (op2 (e20) (op2 (e21) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H47d].
% 83.65/83.85 cut (((op2 (e20) (op2 (e21) (e22))) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H478].
% 83.65/83.85 congruence.
% 83.65/83.85 apply (zenon_L530_); trivial.
% 83.65/83.85 apply zenon_H47d. apply refl_equal.
% 83.65/83.85 apply zenon_H47d. apply refl_equal.
% 83.65/83.85 apply zenon_H60. apply refl_equal.
% 83.65/83.85 (* end of lemma zenon_L531_ *)
% 83.65/83.85 assert (zenon_L532_ : ((op2 (e21) (e23)) = (e22)) -> ((op2 (e21) (e23)) = (e23)) -> (~((e22) = (e23))) -> False).
% 83.65/83.85 do 0 intro. intros zenon_H130 zenon_H47e zenon_H47f.
% 83.65/83.85 elim (classic ((e23) = (e23))); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hd8 ].
% 83.65/83.85 cut (((e23) = (e23)) = ((e22) = (e23))).
% 83.65/83.85 intro zenon_D_pnotp.
% 83.65/83.85 apply zenon_H47f.
% 83.65/83.85 rewrite <- zenon_D_pnotp.
% 83.65/83.85 exact zenon_Hd7.
% 83.65/83.85 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_Hd8].
% 83.65/83.85 cut (((e23) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H480].
% 83.65/83.85 congruence.
% 83.65/83.85 cut (((op2 (e21) (e23)) = (e22)) = ((e23) = (e22))).
% 83.65/83.85 intro zenon_D_pnotp.
% 83.65/83.85 apply zenon_H480.
% 83.65/83.85 rewrite <- zenon_D_pnotp.
% 83.65/83.85 exact zenon_H130.
% 83.65/83.85 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Ha1].
% 83.65/83.85 cut (((op2 (e21) (e23)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H481].
% 83.65/83.85 congruence.
% 83.65/83.85 exact (zenon_H481 zenon_H47e).
% 83.65/83.85 apply zenon_Ha1. apply refl_equal.
% 83.65/83.85 apply zenon_Hd8. apply refl_equal.
% 83.65/83.85 apply zenon_Hd8. apply refl_equal.
% 83.65/83.85 (* end of lemma zenon_L532_ *)
% 83.65/83.85 assert (zenon_L533_ : (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e20) = (e21))) -> ((op2 (e23) (e20)) = (e21)) -> (~((e20) = (e22))) -> ((op2 (e23) (e21)) = (e22)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((op2 (e22) (e21)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((op2 (e20) (e23)) = (e20)) -> (~((op2 (e20) (op2 (e21) (e22))) = (e20))) -> ((op2 (e21) (e23)) = (e22)) -> (~((e22) = (e23))) -> False).
% 83.65/83.85 do 0 intro. intros zenon_H482 zenon_H12f zenon_H134 zenon_Had zenon_H10c zenon_Ha3 zenon_H10f zenon_H129 zenon_Hf7 zenon_H124 zenon_H11f zenon_H12c zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H78 zenon_H8a zenon_He4 zenon_Hef zenon_Hff zenon_H472 zenon_H7a zenon_H5d zenon_H63 zenon_H47a zenon_H130 zenon_H47f.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H482); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H483 ].
% 83.65/83.85 apply (zenon_L528_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H483); [ zenon_intro zenon_H471 | zenon_intro zenon_H484 ].
% 83.65/83.85 apply (zenon_L529_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H484); [ zenon_intro zenon_H12a | zenon_intro zenon_H47e ].
% 83.65/83.85 apply (zenon_L531_); trivial.
% 83.65/83.85 apply (zenon_L532_); trivial.
% 83.65/83.85 (* end of lemma zenon_L533_ *)
% 83.65/83.85 assert (zenon_L534_ : (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((e21) = (e22))) -> ((op2 (e21) (e21)) = (e21)) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e22) = (e23))) -> ((op2 (e21) (e23)) = (e22)) -> (~((op2 (e20) (op2 (e21) (e22))) = (e20))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e22) (e21)) = (e20)) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((e20) = (e22))) -> ((op2 (e23) (e20)) = (e21)) -> (~((e20) = (e21))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.65/83.85 do 0 intro. intros zenon_H133 zenon_Hb2 zenon_Ha8 zenon_He1 zenon_Hce zenon_H47f zenon_H130 zenon_H47a zenon_H472 zenon_Hff zenon_Hef zenon_He4 zenon_H12c zenon_H11f zenon_H124 zenon_Hf7 zenon_H129 zenon_Ha3 zenon_H10c zenon_Had zenon_H134 zenon_H12f zenon_H482 zenon_H73 zenon_H91 zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H105 | zenon_intro zenon_H135 ].
% 83.65/83.85 apply (zenon_L63_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_He2 | zenon_intro zenon_H136 ].
% 83.65/83.85 apply (zenon_L54_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H10f ].
% 83.65/83.85 apply (zenon_L58_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H63 | zenon_intro zenon_Hcf ].
% 83.65/83.85 apply (zenon_L533_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H74 | zenon_intro zenon_Hd0 ].
% 83.65/83.85 apply (zenon_L32_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H92 | zenon_intro zenon_H95 ].
% 83.65/83.85 apply (zenon_L34_); trivial.
% 83.65/83.85 apply (zenon_L36_); trivial.
% 83.65/83.85 (* end of lemma zenon_L534_ *)
% 83.65/83.85 assert (zenon_L535_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((op2 (e21) (e20)) = (e20)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (op2 (e21) (e22))) = (e20))) -> (~((e22) = (e23))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e21) = (e22))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e22) (e20)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> (~((e20) = (e22))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((e20) = (e21))) -> ((op2 (e22) (e21)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e20)) = (e21)) -> False).
% 83.65/83.85 do 0 intro. intros zenon_H140 zenon_Hab zenon_H8a zenon_H5d zenon_H82 zenon_H7c zenon_H94 zenon_H8e zenon_H91 zenon_H73 zenon_H482 zenon_H12f zenon_H134 zenon_H129 zenon_H11f zenon_H12c zenon_H472 zenon_H47a zenon_H47f zenon_Hce zenon_Hb2 zenon_H133 zenon_H124 zenon_H141 zenon_Hc3 zenon_Ha8 zenon_H102 zenon_Hd6 zenon_H152 zenon_He8 zenon_H7a zenon_Hff zenon_Hef zenon_H78 zenon_Ha3 zenon_Hf7 zenon_Hdc zenon_H142 zenon_Had zenon_He4 zenon_H13e zenon_H10c.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ].
% 83.65/83.85 apply (zenon_L42_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ].
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 83.65/83.85 apply (zenon_L53_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_He2 | zenon_intro zenon_H146 ].
% 83.65/83.85 apply (zenon_L54_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H130 ].
% 83.65/83.85 apply (zenon_L516_); trivial.
% 83.65/83.85 apply (zenon_L534_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ].
% 83.65/83.85 apply (zenon_L71_); trivial.
% 83.65/83.85 apply (zenon_L518_); trivial.
% 83.65/83.85 (* end of lemma zenon_L535_ *)
% 83.65/83.85 assert (zenon_L536_ : ((op2 (e21) (e21)) = (e20)) -> ((op2 (e21) (e21)) = (e21)) -> (~((e20) = (e21))) -> False).
% 83.65/83.85 do 0 intro. intros zenon_Hd2 zenon_He1 zenon_Had.
% 83.65/83.85 elim (classic ((e21) = (e21))); [ zenon_intro zenon_Hae | zenon_intro zenon_Haf ].
% 83.65/83.85 cut (((e21) = (e21)) = ((e20) = (e21))).
% 83.65/83.85 intro zenon_D_pnotp.
% 83.65/83.85 apply zenon_Had.
% 83.65/83.85 rewrite <- zenon_D_pnotp.
% 83.65/83.85 exact zenon_Hae.
% 83.65/83.85 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Haf].
% 83.65/83.85 cut (((e21) = (e20))); [idtac | apply NNPP; zenon_intro zenon_Hb0].
% 83.65/83.85 congruence.
% 83.65/83.85 cut (((op2 (e21) (e21)) = (e20)) = ((e21) = (e20))).
% 83.65/83.85 intro zenon_D_pnotp.
% 83.65/83.85 apply zenon_Hb0.
% 83.65/83.85 rewrite <- zenon_D_pnotp.
% 83.65/83.85 exact zenon_Hd2.
% 83.65/83.85 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H60].
% 83.65/83.85 cut (((op2 (e21) (e21)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H46c].
% 83.65/83.85 congruence.
% 83.65/83.85 exact (zenon_H46c zenon_He1).
% 83.65/83.85 apply zenon_H60. apply refl_equal.
% 83.65/83.85 apply zenon_Haf. apply refl_equal.
% 83.65/83.85 apply zenon_Haf. apply refl_equal.
% 83.65/83.85 (* end of lemma zenon_L536_ *)
% 83.65/83.85 assert (zenon_L537_ : ((op2 (e21) (e21)) = (e20)) -> ((op2 (e21) (e21)) = (e22)) -> (~((e20) = (e22))) -> False).
% 83.65/83.85 do 0 intro. intros zenon_Hd2 zenon_He2 zenon_Ha3.
% 83.65/83.85 elim (classic ((e22) = (e22))); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Ha1 ].
% 83.65/83.85 cut (((e22) = (e22)) = ((e20) = (e22))).
% 83.65/83.85 intro zenon_D_pnotp.
% 83.65/83.85 apply zenon_Ha3.
% 83.65/83.85 rewrite <- zenon_D_pnotp.
% 83.65/83.85 exact zenon_Ha4.
% 83.65/83.85 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Ha1].
% 83.65/83.85 cut (((e22) = (e20))); [idtac | apply NNPP; zenon_intro zenon_Ha5].
% 83.65/83.85 congruence.
% 83.65/83.85 cut (((op2 (e21) (e21)) = (e20)) = ((e22) = (e20))).
% 83.65/83.85 intro zenon_D_pnotp.
% 83.65/83.85 apply zenon_Ha5.
% 83.65/83.85 rewrite <- zenon_D_pnotp.
% 83.65/83.85 exact zenon_Hd2.
% 83.65/83.85 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H60].
% 83.65/83.85 cut (((op2 (e21) (e21)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_He3].
% 83.65/83.85 congruence.
% 83.65/83.85 exact (zenon_He3 zenon_He2).
% 83.65/83.85 apply zenon_H60. apply refl_equal.
% 83.65/83.85 apply zenon_Ha1. apply refl_equal.
% 83.65/83.85 apply zenon_Ha1. apply refl_equal.
% 83.65/83.85 (* end of lemma zenon_L537_ *)
% 83.65/83.85 assert (zenon_L538_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((e20) = (e23))) -> ((op2 (e22) (e20)) = (e20)) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e21) = (e23))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e20) = (e21))) -> (~((e21) = (e22))) -> ((op2 (e22) (e21)) = (op2 (e21) (e22))) -> (~((op2 (e21) (op2 (e21) (e22))) = (e21))) -> ((op2 (e21) (e21)) = (e20)) -> (~((e20) = (e22))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> ((op2 (e20) (e21)) = (e23)) -> False).
% 83.65/83.85 do 0 intro. intros zenon_H140 zenon_H8a zenon_H5d zenon_H15c zenon_Hb2 zenon_H21e zenon_H21d zenon_H11b zenon_Hd6 zenon_H112 zenon_H118 zenon_Hc9 zenon_H124 zenon_H141 zenon_H7a zenon_Hc3 zenon_Had zenon_Ha8 zenon_H485 zenon_H486 zenon_Hd2 zenon_Ha3 zenon_H78 zenon_Hdc zenon_H142 zenon_H13e zenon_Hba zenon_Hb8.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ].
% 83.65/83.85 apply (zenon_L151_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ].
% 83.65/83.85 apply (zenon_L536_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ].
% 83.65/83.85 apply (zenon_L71_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H139 | zenon_intro zenon_H147 ].
% 83.65/83.85 apply (zenon_L76_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_He1 | zenon_intro zenon_H148 ].
% 83.65/83.85 apply (zenon_L536_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_He5 | zenon_intro zenon_H10e ].
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 83.65/83.85 apply (zenon_L53_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_He2 | zenon_intro zenon_H146 ].
% 83.65/83.85 apply (zenon_L537_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H130 ].
% 83.65/83.85 elim (classic ((e21) = (e21))); [ zenon_intro zenon_Hae | zenon_intro zenon_Haf ].
% 83.65/83.85 cut (((e21) = (e21)) = ((op2 (e21) (op2 (e21) (e22))) = (e21))).
% 83.65/83.85 intro zenon_D_pnotp.
% 83.65/83.85 apply zenon_H486.
% 83.65/83.85 rewrite <- zenon_D_pnotp.
% 83.65/83.85 exact zenon_Hae.
% 83.65/83.85 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Haf].
% 83.65/83.85 cut (((e21) = (op2 (e21) (op2 (e21) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H487].
% 83.65/83.85 congruence.
% 83.65/83.85 cut (((op2 (e22) (e21)) = (op2 (e21) (e22))) = ((e21) = (op2 (e21) (op2 (e21) (e22))))).
% 83.65/83.85 intro zenon_D_pnotp.
% 83.65/83.85 apply zenon_H487.
% 83.65/83.85 rewrite <- zenon_D_pnotp.
% 83.65/83.85 exact zenon_H485.
% 83.65/83.85 cut (((op2 (e21) (e22)) = (op2 (e21) (op2 (e21) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H488].
% 83.65/83.85 cut (((op2 (e22) (e21)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_He6].
% 83.65/83.85 congruence.
% 83.65/83.85 exact (zenon_He6 zenon_He5).
% 83.65/83.85 cut (((e22) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H489].
% 83.65/83.85 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Haf].
% 83.65/83.85 congruence.
% 83.65/83.85 apply zenon_Haf. apply refl_equal.
% 83.65/83.85 apply zenon_H489. apply sym_equal. exact zenon_Hf8.
% 83.65/83.85 apply zenon_Haf. apply refl_equal.
% 83.65/83.85 apply zenon_Haf. apply refl_equal.
% 83.65/83.85 apply (zenon_L77_); trivial.
% 83.65/83.85 apply (zenon_L78_); trivial.
% 83.65/83.85 (* end of lemma zenon_L538_ *)
% 83.65/83.85 assert (zenon_L539_ : ((op2 (e21) (e22)) = (e20)) -> ((op2 (e21) (e22)) = (e22)) -> (~((e20) = (e22))) -> False).
% 83.65/83.85 do 0 intro. intros zenon_H120 zenon_Hf8 zenon_Ha3.
% 83.65/83.85 elim (classic ((e22) = (e22))); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Ha1 ].
% 83.65/83.85 cut (((e22) = (e22)) = ((e20) = (e22))).
% 83.65/83.85 intro zenon_D_pnotp.
% 83.65/83.85 apply zenon_Ha3.
% 83.65/83.85 rewrite <- zenon_D_pnotp.
% 83.65/83.85 exact zenon_Ha4.
% 83.65/83.85 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Ha1].
% 83.65/83.85 cut (((e22) = (e20))); [idtac | apply NNPP; zenon_intro zenon_Ha5].
% 83.65/83.85 congruence.
% 83.65/83.85 cut (((op2 (e21) (e22)) = (e20)) = ((e22) = (e20))).
% 83.65/83.85 intro zenon_D_pnotp.
% 83.65/83.85 apply zenon_Ha5.
% 83.65/83.85 rewrite <- zenon_D_pnotp.
% 83.65/83.85 exact zenon_H120.
% 83.65/83.85 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H60].
% 83.65/83.85 cut (((op2 (e21) (e22)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H48a].
% 83.65/83.85 congruence.
% 83.65/83.85 exact (zenon_H48a zenon_Hf8).
% 83.65/83.85 apply zenon_H60. apply refl_equal.
% 83.65/83.85 apply zenon_Ha1. apply refl_equal.
% 83.65/83.85 apply zenon_Ha1. apply refl_equal.
% 83.65/83.85 (* end of lemma zenon_L539_ *)
% 83.65/83.85 assert (zenon_L540_ : (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> ((op2 (e21) (e21)) = (e20)) -> (~((e20) = (e22))) -> ((op2 (e21) (e22)) = (e20)) -> ((op2 (e21) (e23)) = (e21)) -> (~((e21) = (e22))) -> False).
% 83.65/83.85 do 0 intro. intros zenon_H142 zenon_Hdc zenon_H78 zenon_Hd2 zenon_Ha3 zenon_H120 zenon_H13c zenon_Ha8.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 83.65/83.85 apply (zenon_L53_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_He2 | zenon_intro zenon_H146 ].
% 83.65/83.85 apply (zenon_L537_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H130 ].
% 83.65/83.85 apply (zenon_L539_); trivial.
% 83.65/83.85 apply (zenon_L77_); trivial.
% 83.65/83.85 (* end of lemma zenon_L540_ *)
% 83.65/83.85 assert (zenon_L541_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e21) (e20)) = (e23)) -> (~((e20) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> ((op2 (e21) (e21)) = (e20)) -> (~((e20) = (e22))) -> ((op2 (e21) (e22)) = (e20)) -> (~((e21) = (e22))) -> False).
% 83.65/83.85 do 0 intro. intros zenon_H140 zenon_Hd6 zenon_Hd5 zenon_Had zenon_H124 zenon_H7a zenon_H142 zenon_Hdc zenon_H78 zenon_Hd2 zenon_Ha3 zenon_H120 zenon_Ha8.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ].
% 83.65/83.85 apply (zenon_L52_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ].
% 83.65/83.85 apply (zenon_L536_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ].
% 83.65/83.85 apply (zenon_L71_); trivial.
% 83.65/83.85 apply (zenon_L540_); trivial.
% 83.65/83.85 (* end of lemma zenon_L541_ *)
% 83.65/83.85 assert (zenon_L542_ : (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e22) (e20)) = (e20)) -> ((op2 (e22) (e21)) = (e20)) -> False).
% 83.65/83.85 do 0 intro. intros zenon_H48b zenon_H21d zenon_He4.
% 83.65/83.85 cut (((op2 (e22) (e20)) = (e20)) = ((op2 (e22) (e20)) = (op2 (e22) (e21)))).
% 83.65/83.85 intro zenon_D_pnotp.
% 83.65/83.85 apply zenon_H48b.
% 83.65/83.85 rewrite <- zenon_D_pnotp.
% 83.65/83.85 exact zenon_H21d.
% 83.65/83.85 cut (((e20) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H468].
% 83.65/83.85 cut (((op2 (e22) (e20)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hf1].
% 83.65/83.85 congruence.
% 83.65/83.85 apply zenon_Hf1. apply refl_equal.
% 83.65/83.85 apply zenon_H468. apply sym_equal. exact zenon_He4.
% 83.65/83.85 (* end of lemma zenon_L542_ *)
% 83.65/83.85 assert (zenon_L543_ : (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e21) = (e22))) -> ((op2 (e21) (e22)) = (e20)) -> (~((e20) = (e22))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((e20) = (e21))) -> ((op2 (e21) (e20)) = (e23)) -> (~((e21) = (e23))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> ((op2 (e20) (e21)) = (e23)) -> False).
% 83.65/83.85 do 0 intro. intros zenon_H14f zenon_H8a zenon_H5d zenon_H82 zenon_H7c zenon_H94 zenon_H8e zenon_H91 zenon_H73 zenon_Hce zenon_Ha8 zenon_H120 zenon_Ha3 zenon_H78 zenon_Hdc zenon_H142 zenon_H7a zenon_H124 zenon_Had zenon_Hd5 zenon_Hd6 zenon_H140 zenon_H21d zenon_H48b zenon_H14b zenon_Hb8.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ].
% 83.65/83.85 apply (zenon_L49_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ].
% 83.65/83.85 apply (zenon_L541_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ].
% 83.65/83.85 apply (zenon_L542_); trivial.
% 83.65/83.85 apply (zenon_L81_); trivial.
% 83.65/83.85 (* end of lemma zenon_L543_ *)
% 83.65/83.85 assert (zenon_L544_ : (((op2 (e22) (e21)) = (op2 (e21) (e22)))/\((~((op2 (e20) (op2 (e21) (e22))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e21)))/\((~((op2 (e22) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e21) (e22))) = (e23))))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((e22) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e21) = (e22))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((e20) = (e23))) -> (~((e21) = (e23))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((e20) = (e21))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.65/83.85 do 0 intro. intros zenon_H48c zenon_H48d zenon_H482 zenon_H472 zenon_H47f zenon_H82 zenon_H7c zenon_H73 zenon_H8e zenon_H14f zenon_H94 zenon_H91 zenon_Hce zenon_Ha8 zenon_Ha3 zenon_Hdc zenon_H142 zenon_H124 zenon_H140 zenon_H48b zenon_H14b zenon_H15c zenon_H141 zenon_Hd1 zenon_Hf7 zenon_Hef zenon_Hff zenon_He8 zenon_Hbc zenon_H102 zenon_H133 zenon_H12c zenon_H11f zenon_H129 zenon_H134 zenon_H12f zenon_H48e zenon_H21e zenon_Hd6 zenon_H15b zenon_Hc9 zenon_Hb2 zenon_Hba zenon_H118 zenon_H78 zenon_H112 zenon_H13e zenon_Had zenon_H11b zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a.
% 83.65/83.85 apply (zenon_and_s _ _ zenon_H48c). zenon_intro zenon_H485. zenon_intro zenon_H48f.
% 83.65/83.85 apply (zenon_and_s _ _ zenon_H48f). zenon_intro zenon_H47a. zenon_intro zenon_H490.
% 83.65/83.85 apply (zenon_and_s _ _ zenon_H490). zenon_intro zenon_H486. zenon_intro zenon_H491.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.65/83.85 apply (zenon_L40_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.65/83.85 apply (zenon_L41_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.65/83.85 apply (zenon_L42_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.65/83.85 apply (zenon_L47_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ].
% 83.65/83.85 apply (zenon_L43_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ].
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ].
% 83.65/83.85 apply (zenon_L43_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ].
% 83.65/83.85 apply (zenon_L82_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ].
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ].
% 83.65/83.85 apply (zenon_L49_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ].
% 83.65/83.85 apply (zenon_L50_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ].
% 83.65/83.85 apply (zenon_L535_); trivial.
% 83.65/83.85 apply (zenon_L81_); trivial.
% 83.65/83.85 apply (zenon_L140_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ].
% 83.65/83.85 apply (zenon_L46_); trivial.
% 83.65/83.85 apply (zenon_L31_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.65/83.85 apply (zenon_L41_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.65/83.85 apply (zenon_L151_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.65/83.85 apply (zenon_L152_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ].
% 83.65/83.85 apply (zenon_L43_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ].
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ].
% 83.65/83.85 apply (zenon_L43_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ].
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H48e); [ zenon_intro zenon_Hab | zenon_intro zenon_H494 ].
% 83.65/83.85 apply (zenon_L82_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H494); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H495 ].
% 83.65/83.85 apply (zenon_L538_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H495); [ zenon_intro zenon_H120 | zenon_intro zenon_H74 ].
% 83.65/83.85 apply (zenon_L543_); trivial.
% 83.65/83.85 apply (zenon_L32_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ].
% 83.65/83.85 apply (zenon_L139_); trivial.
% 83.65/83.85 apply (zenon_L88_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ].
% 83.65/83.85 apply (zenon_L46_); trivial.
% 83.65/83.85 apply (zenon_L31_); trivial.
% 83.65/83.85 apply (zenon_L143_); trivial.
% 83.65/83.85 (* end of lemma zenon_L544_ *)
% 83.65/83.85 assert (zenon_L545_ : (~((op2 (e22) (op2 (e21) (e23))) = (op2 (e22) (e22)))) -> ((op2 (e21) (e23)) = (e22)) -> False).
% 83.65/83.85 do 0 intro. intros zenon_H496 zenon_H130.
% 83.65/83.85 cut (((op2 (e21) (e23)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H13d].
% 83.65/83.85 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Ha1].
% 83.65/83.85 congruence.
% 83.65/83.85 apply zenon_Ha1. apply refl_equal.
% 83.65/83.85 exact (zenon_H13d zenon_H130).
% 83.65/83.85 (* end of lemma zenon_L545_ *)
% 83.65/83.85 assert (zenon_L546_ : (~((op2 (e22) (op2 (e21) (e23))) = (e22))) -> ((op2 (e22) (e22)) = (e22)) -> ((op2 (e21) (e23)) = (e22)) -> False).
% 83.65/83.85 do 0 intro. intros zenon_H497 zenon_Hf9 zenon_H130.
% 83.65/83.85 cut (((op2 (e22) (e22)) = (e22)) = ((op2 (e22) (op2 (e21) (e23))) = (e22))).
% 83.65/83.85 intro zenon_D_pnotp.
% 83.65/83.85 apply zenon_H497.
% 83.65/83.85 rewrite <- zenon_D_pnotp.
% 83.65/83.85 exact zenon_Hf9.
% 83.65/83.85 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Ha1].
% 83.65/83.85 cut (((op2 (e22) (e22)) = (op2 (e22) (op2 (e21) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H498].
% 83.65/83.85 congruence.
% 83.65/83.85 elim (classic ((op2 (e22) (op2 (e21) (e23))) = (op2 (e22) (op2 (e21) (e23))))); [ zenon_intro zenon_H499 | zenon_intro zenon_H49a ].
% 83.65/83.85 cut (((op2 (e22) (op2 (e21) (e23))) = (op2 (e22) (op2 (e21) (e23)))) = ((op2 (e22) (e22)) = (op2 (e22) (op2 (e21) (e23))))).
% 83.65/83.85 intro zenon_D_pnotp.
% 83.65/83.85 apply zenon_H498.
% 83.65/83.85 rewrite <- zenon_D_pnotp.
% 83.65/83.85 exact zenon_H499.
% 83.65/83.85 cut (((op2 (e22) (op2 (e21) (e23))) = (op2 (e22) (op2 (e21) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H49a].
% 83.65/83.85 cut (((op2 (e22) (op2 (e21) (e23))) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H496].
% 83.65/83.85 congruence.
% 83.65/83.85 apply (zenon_L545_); trivial.
% 83.65/83.85 apply zenon_H49a. apply refl_equal.
% 83.65/83.85 apply zenon_H49a. apply refl_equal.
% 83.65/83.85 apply zenon_Ha1. apply refl_equal.
% 83.65/83.85 (* end of lemma zenon_L546_ *)
% 83.65/83.85 assert (zenon_L547_ : (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> (~((e20) = (e22))) -> ((op2 (e22) (e21)) = (e20)) -> ((op2 (e21) (e23)) = (e22)) -> (~((op2 (e22) (op2 (e21) (e23))) = (e22))) -> ((op2 (e22) (e23)) = (e21)) -> (~((e21) = (e22))) -> False).
% 83.65/83.85 do 0 intro. intros zenon_Hff zenon_Hef zenon_H78 zenon_Ha3 zenon_He4 zenon_H130 zenon_H497 zenon_Hfc zenon_Ha8.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Hee | zenon_intro zenon_H100 ].
% 83.65/83.85 apply (zenon_L57_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H101 ].
% 83.65/83.85 apply (zenon_L58_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_Hf9 | zenon_intro zenon_Hfd ].
% 83.65/83.85 apply (zenon_L546_); trivial.
% 83.65/83.85 apply (zenon_L60_); trivial.
% 83.65/83.85 (* end of lemma zenon_L547_ *)
% 83.65/83.85 assert (zenon_L548_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((op2 (e21) (e20)) = (e20)) -> (~((op2 (e22) (op2 (e21) (e23))) = (e22))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e21) = (e22))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e22) (e20)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> (~((e20) = (e22))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((e20) = (e21))) -> ((op2 (e22) (e21)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e20)) = (e21)) -> False).
% 83.65/83.85 do 0 intro. intros zenon_H140 zenon_Hab zenon_H497 zenon_H124 zenon_H141 zenon_Hc3 zenon_Ha8 zenon_H102 zenon_Hd6 zenon_H152 zenon_He8 zenon_H7a zenon_Hff zenon_Hef zenon_H78 zenon_Ha3 zenon_Hf7 zenon_Hdc zenon_H142 zenon_Had zenon_He4 zenon_H13e zenon_H10c.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ].
% 83.65/83.85 apply (zenon_L42_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ].
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 83.65/83.85 apply (zenon_L53_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_He2 | zenon_intro zenon_H146 ].
% 83.65/83.85 apply (zenon_L54_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H130 ].
% 83.65/83.85 apply (zenon_L516_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hbb | zenon_intro zenon_H103 ].
% 83.65/83.85 apply (zenon_L83_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_He5 | zenon_intro zenon_H104 ].
% 83.65/83.85 apply (zenon_L55_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_He7 | zenon_intro zenon_Hfc ].
% 83.65/83.85 apply (zenon_L56_); trivial.
% 83.65/83.85 apply (zenon_L547_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ].
% 83.65/83.85 apply (zenon_L71_); trivial.
% 83.65/83.85 apply (zenon_L518_); trivial.
% 83.65/83.85 (* end of lemma zenon_L548_ *)
% 83.65/83.85 assert (zenon_L549_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((e20) = (e23))) -> ((op2 (e22) (e20)) = (e20)) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e21) = (e23))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> ((e22) = (op2 (e20) (e20))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e20) = (e21))) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e21)) = (op2 (e21) (e23))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e20)) = (e21)) -> False).
% 83.65/83.85 do 0 intro. intros zenon_H140 zenon_H8a zenon_H5d zenon_H15c zenon_Hb2 zenon_H21e zenon_H21d zenon_H11b zenon_Hd6 zenon_H112 zenon_H118 zenon_Hba zenon_Hc9 zenon_H124 zenon_H141 zenon_H78 zenon_H7a zenon_Hc3 zenon_Had zenon_Hd2 zenon_H49b zenon_H49c zenon_H13e zenon_H10c.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ].
% 83.65/83.85 apply (zenon_L151_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ].
% 83.65/83.85 apply (zenon_L536_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ].
% 83.65/83.85 apply (zenon_L71_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H139 | zenon_intro zenon_H147 ].
% 83.65/83.85 apply (zenon_L76_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_He1 | zenon_intro zenon_H148 ].
% 83.65/83.85 apply (zenon_L536_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_He5 | zenon_intro zenon_H10e ].
% 83.65/83.85 elim (classic ((op2 (e23) (e21)) = (op2 (e23) (e21)))); [ zenon_intro zenon_H49d | zenon_intro zenon_H49e ].
% 83.65/83.85 cut (((op2 (e23) (e21)) = (op2 (e23) (e21))) = ((op2 (e22) (e21)) = (op2 (e23) (e21)))).
% 83.65/83.85 intro zenon_D_pnotp.
% 83.65/83.85 apply zenon_H49b.
% 83.65/83.85 rewrite <- zenon_D_pnotp.
% 83.65/83.85 exact zenon_H49d.
% 83.65/83.85 cut (((op2 (e23) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H49e].
% 83.65/83.85 cut (((op2 (e23) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H49f].
% 83.65/83.85 congruence.
% 83.65/83.85 cut (((op2 (e21) (e23)) = (e21)) = ((op2 (e23) (e21)) = (op2 (e22) (e21)))).
% 83.65/83.85 intro zenon_D_pnotp.
% 83.65/83.85 apply zenon_H49f.
% 83.65/83.85 rewrite <- zenon_D_pnotp.
% 83.65/83.85 exact zenon_H13c.
% 83.65/83.85 cut (((e21) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H4a0].
% 83.65/83.85 cut (((op2 (e21) (e23)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H4a1].
% 83.65/83.85 congruence.
% 83.65/83.85 elim (classic ((op2 (e23) (e21)) = (op2 (e23) (e21)))); [ zenon_intro zenon_H49d | zenon_intro zenon_H49e ].
% 83.65/83.85 cut (((op2 (e23) (e21)) = (op2 (e23) (e21))) = ((op2 (e21) (e23)) = (op2 (e23) (e21)))).
% 83.65/83.85 intro zenon_D_pnotp.
% 83.65/83.85 apply zenon_H4a1.
% 83.65/83.85 rewrite <- zenon_D_pnotp.
% 83.65/83.85 exact zenon_H49d.
% 83.65/83.85 cut (((op2 (e23) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H49e].
% 83.65/83.85 cut (((op2 (e23) (e21)) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H4a2].
% 83.65/83.85 congruence.
% 83.65/83.85 exact (zenon_H4a2 zenon_H49c).
% 83.65/83.85 apply zenon_H49e. apply refl_equal.
% 83.65/83.85 apply zenon_H49e. apply refl_equal.
% 83.65/83.85 apply zenon_H4a0. apply sym_equal. exact zenon_He5.
% 83.65/83.85 apply zenon_H49e. apply refl_equal.
% 83.65/83.85 apply zenon_H49e. apply refl_equal.
% 83.65/83.85 apply (zenon_L517_); trivial.
% 83.65/83.85 (* end of lemma zenon_L549_ *)
% 83.65/83.85 assert (zenon_L550_ : (((op2 (e23) (e21)) = (op2 (e21) (e23)))/\((~((op2 (e20) (op2 (e21) (e23))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e23))) = (e21)))/\((~((op2 (e22) (op2 (e21) (e23))) = (e22)))/\(~((op2 (e23) (op2 (e21) (e23))) = (e23))))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e21) = (e22))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((e20) = (e23))) -> (~((e21) = (e23))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((e20) = (e21))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.65/83.85 do 0 intro. intros zenon_H4a3 zenon_H48d zenon_H82 zenon_H7c zenon_H73 zenon_H8e zenon_H14f zenon_H94 zenon_H91 zenon_Hce zenon_Ha8 zenon_Ha3 zenon_Hdc zenon_H142 zenon_H124 zenon_H140 zenon_H48b zenon_H14b zenon_H15c zenon_H141 zenon_H49b zenon_Hd1 zenon_Hf7 zenon_Hef zenon_Hff zenon_He8 zenon_Hbc zenon_H102 zenon_H133 zenon_H12c zenon_H11f zenon_H129 zenon_H134 zenon_H12f zenon_H48e zenon_H21e zenon_Hd6 zenon_H15b zenon_Hc9 zenon_Hb2 zenon_Hba zenon_H118 zenon_H78 zenon_H112 zenon_H13e zenon_Had zenon_H11b zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a.
% 83.65/83.85 apply (zenon_and_s _ _ zenon_H4a3). zenon_intro zenon_H49c. zenon_intro zenon_H4a4.
% 83.65/83.85 apply (zenon_and_s _ _ zenon_H4a4). zenon_intro zenon_H4a6. zenon_intro zenon_H4a5.
% 83.65/83.85 apply (zenon_and_s _ _ zenon_H4a5). zenon_intro zenon_H4a8. zenon_intro zenon_H4a7.
% 83.65/83.85 apply (zenon_and_s _ _ zenon_H4a7). zenon_intro zenon_H497. zenon_intro zenon_H4a9.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.65/83.85 apply (zenon_L40_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.65/83.85 apply (zenon_L41_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.65/83.85 apply (zenon_L42_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.65/83.85 apply (zenon_L47_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ].
% 83.65/83.85 apply (zenon_L43_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ].
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ].
% 83.65/83.85 apply (zenon_L43_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ].
% 83.65/83.85 apply (zenon_L82_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ].
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ].
% 83.65/83.85 apply (zenon_L49_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ].
% 83.65/83.85 apply (zenon_L50_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ].
% 83.65/83.85 apply (zenon_L548_); trivial.
% 83.65/83.85 apply (zenon_L81_); trivial.
% 83.65/83.85 apply (zenon_L140_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ].
% 83.65/83.85 apply (zenon_L46_); trivial.
% 83.65/83.85 apply (zenon_L31_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.65/83.85 apply (zenon_L41_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.65/83.85 apply (zenon_L151_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.65/83.85 apply (zenon_L152_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ].
% 83.65/83.85 apply (zenon_L43_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ].
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ].
% 83.65/83.85 apply (zenon_L43_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ].
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H48e); [ zenon_intro zenon_Hab | zenon_intro zenon_H494 ].
% 83.65/83.85 apply (zenon_L82_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H494); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H495 ].
% 83.65/83.85 apply (zenon_L549_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H495); [ zenon_intro zenon_H120 | zenon_intro zenon_H74 ].
% 83.65/83.85 apply (zenon_L543_); trivial.
% 83.65/83.85 apply (zenon_L32_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ].
% 83.65/83.85 apply (zenon_L139_); trivial.
% 83.65/83.85 apply (zenon_L88_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ].
% 83.65/83.85 apply (zenon_L46_); trivial.
% 83.65/83.85 apply (zenon_L31_); trivial.
% 83.65/83.85 apply (zenon_L143_); trivial.
% 83.65/83.85 (* end of lemma zenon_L550_ *)
% 83.65/83.85 assert (zenon_L551_ : (~((op2 (e20) (op2 (e22) (e20))) = (op2 (e20) (e23)))) -> ((op2 (e22) (e20)) = (e23)) -> False).
% 83.65/83.85 do 0 intro. intros zenon_H4aa zenon_H152.
% 83.65/83.85 cut (((op2 (e22) (e20)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H153].
% 83.65/83.85 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H60].
% 83.65/83.85 congruence.
% 83.65/83.85 apply zenon_H60. apply refl_equal.
% 83.65/83.85 exact (zenon_H153 zenon_H152).
% 83.65/83.85 (* end of lemma zenon_L551_ *)
% 83.65/83.85 assert (zenon_L552_ : (~((op2 (e20) (op2 (e22) (e20))) = (e20))) -> ((op2 (e20) (e23)) = (e20)) -> ((op2 (e22) (e20)) = (e23)) -> False).
% 83.65/83.85 do 0 intro. intros zenon_H4ab zenon_H63 zenon_H152.
% 83.65/83.85 cut (((op2 (e20) (e23)) = (e20)) = ((op2 (e20) (op2 (e22) (e20))) = (e20))).
% 83.65/83.85 intro zenon_D_pnotp.
% 83.65/83.85 apply zenon_H4ab.
% 83.65/83.85 rewrite <- zenon_D_pnotp.
% 83.65/83.85 exact zenon_H63.
% 83.65/83.85 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H60].
% 83.65/83.85 cut (((op2 (e20) (e23)) = (op2 (e20) (op2 (e22) (e20))))); [idtac | apply NNPP; zenon_intro zenon_H4ac].
% 83.65/83.85 congruence.
% 83.65/83.85 elim (classic ((op2 (e20) (op2 (e22) (e20))) = (op2 (e20) (op2 (e22) (e20))))); [ zenon_intro zenon_H4ad | zenon_intro zenon_H4ae ].
% 83.65/83.85 cut (((op2 (e20) (op2 (e22) (e20))) = (op2 (e20) (op2 (e22) (e20)))) = ((op2 (e20) (e23)) = (op2 (e20) (op2 (e22) (e20))))).
% 83.65/83.85 intro zenon_D_pnotp.
% 83.65/83.85 apply zenon_H4ac.
% 83.65/83.85 rewrite <- zenon_D_pnotp.
% 83.65/83.85 exact zenon_H4ad.
% 83.65/83.85 cut (((op2 (e20) (op2 (e22) (e20))) = (op2 (e20) (op2 (e22) (e20))))); [idtac | apply NNPP; zenon_intro zenon_H4ae].
% 83.65/83.85 cut (((op2 (e20) (op2 (e22) (e20))) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H4aa].
% 83.65/83.85 congruence.
% 83.65/83.85 apply (zenon_L551_); trivial.
% 83.65/83.85 apply zenon_H4ae. apply refl_equal.
% 83.65/83.85 apply zenon_H4ae. apply refl_equal.
% 83.65/83.85 apply zenon_H60. apply refl_equal.
% 83.65/83.85 (* end of lemma zenon_L552_ *)
% 83.65/83.85 assert (zenon_L553_ : (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((op2 (e22) (e20)) = (e23)) -> (~((op2 (e20) (op2 (e22) (e20))) = (e20))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.65/83.85 do 0 intro. intros zenon_Hce zenon_H152 zenon_H4ab zenon_H73 zenon_H91 zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H63 | zenon_intro zenon_Hcf ].
% 83.65/83.85 apply (zenon_L552_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H74 | zenon_intro zenon_Hd0 ].
% 83.65/83.85 apply (zenon_L32_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H92 | zenon_intro zenon_H95 ].
% 83.65/83.85 apply (zenon_L34_); trivial.
% 83.65/83.85 apply (zenon_L36_); trivial.
% 83.65/83.85 (* end of lemma zenon_L553_ *)
% 83.65/83.85 assert (zenon_L554_ : ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((e21) = (e23))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (op2 (e22) (e20))) = (e20))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> ((op2 (e21) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((e20) = (e21))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((e21) = (e22))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.65/83.85 do 0 intro. intros zenon_Hba zenon_H118 zenon_H78 zenon_H112 zenon_H13e zenon_Hd6 zenon_H11b zenon_Hce zenon_H4ab zenon_H73 zenon_H91 zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H14f zenon_Hab zenon_Hd1 zenon_Had zenon_H142 zenon_Hdc zenon_Hf7 zenon_Ha3 zenon_Hef zenon_Hff zenon_He8 zenon_Hc9 zenon_Hb2 zenon_Hbc zenon_H102 zenon_Ha8 zenon_H141 zenon_H124 zenon_H133 zenon_H12c zenon_H11f zenon_H129 zenon_H134 zenon_H12f zenon_H140 zenon_H14b zenon_H15c zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ].
% 83.65/83.85 apply (zenon_L43_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ].
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ].
% 83.65/83.85 apply (zenon_L43_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ].
% 83.65/83.85 apply (zenon_L82_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ].
% 83.65/83.85 apply (zenon_L553_); trivial.
% 83.65/83.85 apply (zenon_L140_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ].
% 83.65/83.85 apply (zenon_L46_); trivial.
% 83.65/83.85 apply (zenon_L31_); trivial.
% 83.65/83.85 (* end of lemma zenon_L554_ *)
% 83.65/83.85 assert (zenon_L555_ : (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e20)) = (e20)) -> ((op2 (e20) (e22)) = (op2 (e22) (e20))) -> ((op2 (e23) (e22)) = (e20)) -> False).
% 83.65/83.85 do 0 intro. intros zenon_H112 zenon_H21d zenon_H4af zenon_H121.
% 83.65/83.85 cut (((op2 (e22) (e20)) = (e20)) = ((op2 (e20) (e22)) = (op2 (e23) (e22)))).
% 83.65/83.85 intro zenon_D_pnotp.
% 83.65/83.85 apply zenon_H112.
% 83.65/83.85 rewrite <- zenon_D_pnotp.
% 83.65/83.85 exact zenon_H21d.
% 83.65/83.85 cut (((e20) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H122].
% 83.65/83.85 cut (((op2 (e22) (e20)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H45e].
% 83.65/83.85 congruence.
% 83.65/83.85 elim (classic ((op2 (e20) (e22)) = (op2 (e20) (e22)))); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc5 ].
% 83.65/83.85 cut (((op2 (e20) (e22)) = (op2 (e20) (e22))) = ((op2 (e22) (e20)) = (op2 (e20) (e22)))).
% 83.65/83.85 intro zenon_D_pnotp.
% 83.65/83.85 apply zenon_H45e.
% 83.65/83.85 rewrite <- zenon_D_pnotp.
% 83.65/83.85 exact zenon_Hc4.
% 83.65/83.85 cut (((op2 (e20) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hc5].
% 83.65/83.85 cut (((op2 (e20) (e22)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H45d].
% 83.65/83.85 congruence.
% 83.65/83.85 exact (zenon_H45d zenon_H4af).
% 83.65/83.85 apply zenon_Hc5. apply refl_equal.
% 83.65/83.85 apply zenon_Hc5. apply refl_equal.
% 83.65/83.85 apply zenon_H122. apply sym_equal. exact zenon_H121.
% 83.65/83.85 (* end of lemma zenon_L555_ *)
% 83.65/83.85 assert (zenon_L556_ : (((op2 (e20) (e22)) = (op2 (e22) (e20)))/\((~((op2 (e20) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e22) (e20))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e20))) = (e22)))/\(~((op2 (e23) (op2 (e22) (e20))) = (e23))))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((e21) = (e22))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e20) = (e22))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e21) = (e23))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((e20) = (e21))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.65/83.85 do 0 intro. intros zenon_H4b0 zenon_H48d zenon_H15c zenon_H140 zenon_H12f zenon_H129 zenon_H11f zenon_H12c zenon_H133 zenon_H124 zenon_H141 zenon_Ha8 zenon_H102 zenon_Hbc zenon_He8 zenon_Hff zenon_Hef zenon_Ha3 zenon_Hf7 zenon_Hdc zenon_H142 zenon_Hd1 zenon_H14f zenon_H91 zenon_H73 zenon_Hce zenon_Hd6 zenon_H134 zenon_H14b zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_Hc9 zenon_Hb2 zenon_Hba zenon_H118 zenon_H78 zenon_H112 zenon_H13e zenon_Had zenon_H11b zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a.
% 83.65/83.85 apply (zenon_and_s _ _ zenon_H4b0). zenon_intro zenon_H4af. zenon_intro zenon_H4b1.
% 83.65/83.85 apply (zenon_and_s _ _ zenon_H4b1). zenon_intro zenon_H4ab. zenon_intro zenon_H4b2.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.65/83.85 apply (zenon_L40_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.65/83.85 apply (zenon_L554_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.65/83.85 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ].
% 83.65/83.85 apply (zenon_L43_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ].
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H10b | zenon_intro zenon_H137 ].
% 83.65/83.85 apply (zenon_L142_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H11e | zenon_intro zenon_H138 ].
% 83.65/83.85 apply (zenon_L81_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H121 | zenon_intro zenon_H95 ].
% 83.65/83.85 apply (zenon_L555_); trivial.
% 83.65/83.85 apply (zenon_L36_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ].
% 83.65/83.85 apply (zenon_L46_); trivial.
% 83.65/83.85 apply (zenon_L31_); trivial.
% 83.65/83.85 apply (zenon_L143_); trivial.
% 83.65/83.85 (* end of lemma zenon_L556_ *)
% 83.65/83.85 assert (zenon_L557_ : (~((op2 (e21) (op2 (e22) (e21))) = (op2 (e21) (e20)))) -> ((op2 (e22) (e21)) = (e20)) -> False).
% 83.65/83.85 do 0 intro. intros zenon_H4b3 zenon_He4.
% 83.65/83.85 cut (((op2 (e22) (e21)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H4b4].
% 83.65/83.85 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Haf].
% 83.65/83.85 congruence.
% 83.65/83.85 apply zenon_Haf. apply refl_equal.
% 83.65/83.85 exact (zenon_H4b4 zenon_He4).
% 83.65/83.85 (* end of lemma zenon_L557_ *)
% 83.65/83.85 assert (zenon_L558_ : (~((op2 (e21) (op2 (e22) (e21))) = (e21))) -> ((op2 (e21) (e20)) = (e21)) -> ((op2 (e22) (e21)) = (e20)) -> False).
% 83.65/83.85 do 0 intro. intros zenon_H4b5 zenon_Hac zenon_He4.
% 83.65/83.85 cut (((op2 (e21) (e20)) = (e21)) = ((op2 (e21) (op2 (e22) (e21))) = (e21))).
% 83.65/83.85 intro zenon_D_pnotp.
% 83.65/83.85 apply zenon_H4b5.
% 83.65/83.85 rewrite <- zenon_D_pnotp.
% 83.65/83.85 exact zenon_Hac.
% 83.65/83.85 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Haf].
% 83.65/83.85 cut (((op2 (e21) (e20)) = (op2 (e21) (op2 (e22) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H4b6].
% 83.65/83.85 congruence.
% 83.65/83.85 elim (classic ((op2 (e21) (op2 (e22) (e21))) = (op2 (e21) (op2 (e22) (e21))))); [ zenon_intro zenon_H4b7 | zenon_intro zenon_H4b8 ].
% 83.65/83.85 cut (((op2 (e21) (op2 (e22) (e21))) = (op2 (e21) (op2 (e22) (e21)))) = ((op2 (e21) (e20)) = (op2 (e21) (op2 (e22) (e21))))).
% 83.65/83.85 intro zenon_D_pnotp.
% 83.65/83.85 apply zenon_H4b6.
% 83.65/83.85 rewrite <- zenon_D_pnotp.
% 83.65/83.85 exact zenon_H4b7.
% 83.65/83.85 cut (((op2 (e21) (op2 (e22) (e21))) = (op2 (e21) (op2 (e22) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H4b8].
% 83.65/83.85 cut (((op2 (e21) (op2 (e22) (e21))) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H4b3].
% 83.65/83.85 congruence.
% 83.65/83.85 apply (zenon_L557_); trivial.
% 83.65/83.85 apply zenon_H4b8. apply refl_equal.
% 83.65/83.85 apply zenon_H4b8. apply refl_equal.
% 83.65/83.85 apply zenon_Haf. apply refl_equal.
% 83.65/83.85 (* end of lemma zenon_L558_ *)
% 83.65/83.85 assert (zenon_L559_ : (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e21)) = (e20)) -> ((op2 (e21) (e22)) = (op2 (e22) (e21))) -> ((op2 (e23) (e22)) = (e20)) -> False).
% 83.65/83.85 do 0 intro. intros zenon_H11f zenon_He4 zenon_H4b9 zenon_H121.
% 83.65/83.85 cut (((op2 (e22) (e21)) = (e20)) = ((op2 (e21) (e22)) = (op2 (e23) (e22)))).
% 83.65/83.85 intro zenon_D_pnotp.
% 83.65/83.85 apply zenon_H11f.
% 83.65/83.85 rewrite <- zenon_D_pnotp.
% 83.65/83.85 exact zenon_He4.
% 83.65/83.85 cut (((e20) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H122].
% 83.65/83.85 cut (((op2 (e22) (e21)) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H4ba].
% 83.65/83.85 congruence.
% 83.65/83.85 elim (classic ((op2 (e21) (e22)) = (op2 (e21) (e22)))); [ zenon_intro zenon_H125 | zenon_intro zenon_Hfb ].
% 83.65/83.85 cut (((op2 (e21) (e22)) = (op2 (e21) (e22))) = ((op2 (e22) (e21)) = (op2 (e21) (e22)))).
% 83.65/83.85 intro zenon_D_pnotp.
% 83.65/83.85 apply zenon_H4ba.
% 83.65/83.85 rewrite <- zenon_D_pnotp.
% 83.65/83.85 exact zenon_H125.
% 83.65/83.85 cut (((op2 (e21) (e22)) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hfb].
% 83.65/83.85 cut (((op2 (e21) (e22)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H4bb].
% 83.65/83.85 congruence.
% 83.65/83.85 exact (zenon_H4bb zenon_H4b9).
% 83.65/83.85 apply zenon_Hfb. apply refl_equal.
% 83.65/83.85 apply zenon_Hfb. apply refl_equal.
% 83.65/83.85 apply zenon_H122. apply sym_equal. exact zenon_H121.
% 83.65/83.85 (* end of lemma zenon_L559_ *)
% 83.65/83.85 assert (zenon_L560_ : (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((e21) = (e22))) -> ((op2 (e21) (e21)) = (e21)) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e20) = (e21))) -> ((op2 (e23) (e20)) = (e21)) -> (~((e20) = (e22))) -> ((op2 (e21) (e22)) = (op2 (e22) (e21))) -> ((op2 (e22) (e21)) = (e20)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.65/83.85 do 0 intro. intros zenon_H133 zenon_Hb2 zenon_Ha8 zenon_He1 zenon_H134 zenon_Had zenon_H10c zenon_Ha3 zenon_H4b9 zenon_He4 zenon_H11f zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H105 | zenon_intro zenon_H135 ].
% 83.65/83.85 apply (zenon_L63_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_He2 | zenon_intro zenon_H136 ].
% 83.65/83.85 apply (zenon_L54_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H10f ].
% 83.65/83.85 apply (zenon_L58_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H10b | zenon_intro zenon_H137 ].
% 83.65/83.85 apply (zenon_L64_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H11e | zenon_intro zenon_H138 ].
% 83.65/83.85 apply (zenon_L69_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H121 | zenon_intro zenon_H95 ].
% 83.65/83.85 apply (zenon_L559_); trivial.
% 83.65/83.85 apply (zenon_L36_); trivial.
% 83.65/83.85 (* end of lemma zenon_L560_ *)
% 83.65/83.85 assert (zenon_L561_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e21) (op2 (e22) (e21))) = (e21))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e22)) = (op2 (e22) (e21))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e21) = (e22))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e22) (e20)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> (~((e20) = (e22))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((e20) = (e21))) -> ((op2 (e22) (e21)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e20)) = (e21)) -> False).
% 83.65/83.85 do 0 intro. intros zenon_H140 zenon_H4b5 zenon_H8a zenon_H5d zenon_H82 zenon_H7c zenon_H94 zenon_H8e zenon_H11f zenon_H4b9 zenon_H134 zenon_Hb2 zenon_H133 zenon_H124 zenon_H141 zenon_Hc3 zenon_Ha8 zenon_H102 zenon_Hd6 zenon_H152 zenon_He8 zenon_H7a zenon_Hff zenon_Hef zenon_H78 zenon_Ha3 zenon_Hf7 zenon_Hdc zenon_H142 zenon_Had zenon_He4 zenon_H13e zenon_H10c.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ].
% 83.65/83.85 apply (zenon_L558_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ].
% 83.65/83.85 apply (zenon_L560_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ].
% 83.65/83.85 apply (zenon_L71_); trivial.
% 83.65/83.85 apply (zenon_L518_); trivial.
% 83.65/83.85 (* end of lemma zenon_L561_ *)
% 83.65/83.85 assert (zenon_L562_ : (~((op2 (e22) (e21)) = (op2 (e22) (op2 (e22) (e21))))) -> ((op2 (e22) (e21)) = (e21)) -> False).
% 83.65/83.85 do 0 intro. intros zenon_H4bc zenon_He5.
% 83.65/83.85 cut (((e21) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H4a0].
% 83.65/83.85 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Ha1].
% 83.65/83.85 congruence.
% 83.65/83.85 apply zenon_Ha1. apply refl_equal.
% 83.65/83.85 apply zenon_H4a0. apply sym_equal. exact zenon_He5.
% 83.65/83.85 (* end of lemma zenon_L562_ *)
% 83.65/83.85 assert (zenon_L563_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((e20) = (e23))) -> ((op2 (e22) (e20)) = (e20)) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e21) = (e23))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e20) = (e21))) -> (~((e21) = (e22))) -> ((op2 (e21) (e22)) = (op2 (e22) (e21))) -> (~((op2 (e22) (op2 (e22) (e21))) = (e22))) -> ((op2 (e21) (e21)) = (e20)) -> (~((e20) = (e22))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> ((op2 (e20) (e21)) = (e23)) -> False).
% 83.65/83.85 do 0 intro. intros zenon_H140 zenon_H8a zenon_H5d zenon_H15c zenon_Hb2 zenon_H21e zenon_H21d zenon_H11b zenon_Hd6 zenon_H112 zenon_H118 zenon_Hc9 zenon_H124 zenon_H141 zenon_H7a zenon_Hc3 zenon_Had zenon_Ha8 zenon_H4b9 zenon_H4bd zenon_Hd2 zenon_Ha3 zenon_H78 zenon_Hdc zenon_H142 zenon_H13e zenon_Hba zenon_Hb8.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ].
% 83.65/83.85 apply (zenon_L151_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ].
% 83.65/83.85 apply (zenon_L536_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ].
% 83.65/83.85 apply (zenon_L71_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H139 | zenon_intro zenon_H147 ].
% 83.65/83.85 apply (zenon_L76_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_He1 | zenon_intro zenon_H148 ].
% 83.65/83.85 apply (zenon_L536_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_He5 | zenon_intro zenon_H10e ].
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 83.65/83.85 apply (zenon_L53_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_He2 | zenon_intro zenon_H146 ].
% 83.65/83.85 apply (zenon_L537_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H130 ].
% 83.65/83.85 elim (classic ((e22) = (e22))); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Ha1 ].
% 83.65/83.85 cut (((e22) = (e22)) = ((op2 (e22) (op2 (e22) (e21))) = (e22))).
% 83.65/83.85 intro zenon_D_pnotp.
% 83.65/83.85 apply zenon_H4bd.
% 83.65/83.85 rewrite <- zenon_D_pnotp.
% 83.65/83.85 exact zenon_Ha4.
% 83.65/83.85 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Ha1].
% 83.65/83.85 cut (((e22) = (op2 (e22) (op2 (e22) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H4be].
% 83.65/83.85 congruence.
% 83.65/83.85 cut (((op2 (e21) (e22)) = (op2 (e22) (e21))) = ((e22) = (op2 (e22) (op2 (e22) (e21))))).
% 83.65/83.85 intro zenon_D_pnotp.
% 83.65/83.85 apply zenon_H4be.
% 83.65/83.85 rewrite <- zenon_D_pnotp.
% 83.65/83.85 exact zenon_H4b9.
% 83.65/83.85 cut (((op2 (e22) (e21)) = (op2 (e22) (op2 (e22) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H4bc].
% 83.65/83.85 cut (((op2 (e21) (e22)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H48a].
% 83.65/83.85 congruence.
% 83.65/83.85 exact (zenon_H48a zenon_Hf8).
% 83.65/83.85 apply (zenon_L562_); trivial.
% 83.65/83.85 apply zenon_Ha1. apply refl_equal.
% 83.65/83.85 apply zenon_Ha1. apply refl_equal.
% 83.65/83.85 apply (zenon_L77_); trivial.
% 83.65/83.85 apply (zenon_L78_); trivial.
% 83.65/83.85 (* end of lemma zenon_L563_ *)
% 83.65/83.85 assert (zenon_L564_ : (((op2 (e21) (e22)) = (op2 (e22) (e21)))/\((~((op2 (e20) (op2 (e22) (e21))) = (e20)))/\((~((op2 (e21) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e22)))/\(~((op2 (e23) (op2 (e22) (e21))) = (e23))))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e21) = (e22))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((e20) = (e23))) -> (~((e21) = (e23))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((e20) = (e21))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.65/83.85 do 0 intro. intros zenon_H4bf zenon_H48d zenon_H82 zenon_H7c zenon_H73 zenon_H8e zenon_H14f zenon_H94 zenon_H91 zenon_Hce zenon_Ha8 zenon_Ha3 zenon_Hdc zenon_H142 zenon_H124 zenon_H140 zenon_H48b zenon_H14b zenon_H15c zenon_H141 zenon_Hd1 zenon_Hf7 zenon_Hef zenon_Hff zenon_He8 zenon_Hbc zenon_H102 zenon_H133 zenon_H12c zenon_H11f zenon_H129 zenon_H134 zenon_H12f zenon_H48e zenon_H21e zenon_Hd6 zenon_H15b zenon_Hc9 zenon_Hb2 zenon_Hba zenon_H118 zenon_H78 zenon_H112 zenon_H13e zenon_Had zenon_H11b zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a.
% 83.65/83.85 apply (zenon_and_s _ _ zenon_H4bf). zenon_intro zenon_H4b9. zenon_intro zenon_H4c0.
% 83.65/83.85 apply (zenon_and_s _ _ zenon_H4c0). zenon_intro zenon_H4c2. zenon_intro zenon_H4c1.
% 83.65/83.85 apply (zenon_and_s _ _ zenon_H4c1). zenon_intro zenon_H4b5. zenon_intro zenon_H4c3.
% 83.65/83.85 apply (zenon_and_s _ _ zenon_H4c3). zenon_intro zenon_H4bd. zenon_intro zenon_H4c4.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.65/83.85 apply (zenon_L40_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.65/83.85 apply (zenon_L41_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.65/83.85 apply (zenon_L42_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.65/83.85 apply (zenon_L47_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ].
% 83.65/83.85 apply (zenon_L43_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ].
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ].
% 83.65/83.85 apply (zenon_L43_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ].
% 83.65/83.85 apply (zenon_L82_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ].
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ].
% 83.65/83.85 apply (zenon_L49_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ].
% 83.65/83.85 apply (zenon_L50_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ].
% 83.65/83.85 apply (zenon_L561_); trivial.
% 83.65/83.85 apply (zenon_L81_); trivial.
% 83.65/83.85 apply (zenon_L140_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ].
% 83.65/83.85 apply (zenon_L46_); trivial.
% 83.65/83.85 apply (zenon_L31_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.65/83.85 apply (zenon_L41_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.65/83.85 apply (zenon_L151_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.65/83.85 apply (zenon_L152_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ].
% 83.65/83.85 apply (zenon_L43_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ].
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ].
% 83.65/83.85 apply (zenon_L43_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ].
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H48e); [ zenon_intro zenon_Hab | zenon_intro zenon_H494 ].
% 83.65/83.85 apply (zenon_L82_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H494); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H495 ].
% 83.65/83.85 apply (zenon_L563_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H495); [ zenon_intro zenon_H120 | zenon_intro zenon_H74 ].
% 83.65/83.85 apply (zenon_L543_); trivial.
% 83.65/83.85 apply (zenon_L32_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ].
% 83.65/83.85 apply (zenon_L139_); trivial.
% 83.65/83.85 apply (zenon_L88_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ].
% 83.65/83.85 apply (zenon_L46_); trivial.
% 83.65/83.85 apply (zenon_L31_); trivial.
% 83.65/83.85 apply (zenon_L143_); trivial.
% 83.65/83.85 (* end of lemma zenon_L564_ *)
% 83.65/83.85 assert (zenon_L565_ : (~((op2 (e22) (op2 (e22) (e22))) = (op2 (e22) (e22)))) -> ((op2 (e22) (e22)) = (e22)) -> False).
% 83.65/83.85 do 0 intro. intros zenon_H4c5 zenon_Hf9.
% 83.65/83.85 cut (((op2 (e22) (e22)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H4c6].
% 83.65/83.85 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Ha1].
% 83.65/83.85 congruence.
% 83.65/83.85 apply zenon_Ha1. apply refl_equal.
% 83.65/83.85 exact (zenon_H4c6 zenon_Hf9).
% 83.65/83.85 (* end of lemma zenon_L565_ *)
% 83.65/83.85 assert (zenon_L566_ : (~((op2 (e22) (op2 (e22) (e22))) = (e22))) -> ((op2 (e22) (e22)) = (e22)) -> False).
% 83.65/83.85 do 0 intro. intros zenon_H4c7 zenon_Hf9.
% 83.65/83.85 cut (((op2 (e22) (e22)) = (e22)) = ((op2 (e22) (op2 (e22) (e22))) = (e22))).
% 83.65/83.85 intro zenon_D_pnotp.
% 83.65/83.85 apply zenon_H4c7.
% 83.65/83.85 rewrite <- zenon_D_pnotp.
% 83.65/83.85 exact zenon_Hf9.
% 83.65/83.85 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Ha1].
% 83.65/83.85 cut (((op2 (e22) (e22)) = (op2 (e22) (op2 (e22) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H4c8].
% 83.65/83.85 congruence.
% 83.65/83.85 elim (classic ((op2 (e22) (op2 (e22) (e22))) = (op2 (e22) (op2 (e22) (e22))))); [ zenon_intro zenon_H4c9 | zenon_intro zenon_H4ca ].
% 83.65/83.85 cut (((op2 (e22) (op2 (e22) (e22))) = (op2 (e22) (op2 (e22) (e22)))) = ((op2 (e22) (e22)) = (op2 (e22) (op2 (e22) (e22))))).
% 83.65/83.85 intro zenon_D_pnotp.
% 83.65/83.85 apply zenon_H4c8.
% 83.65/83.85 rewrite <- zenon_D_pnotp.
% 83.65/83.85 exact zenon_H4c9.
% 83.65/83.85 cut (((op2 (e22) (op2 (e22) (e22))) = (op2 (e22) (op2 (e22) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H4ca].
% 83.65/83.85 cut (((op2 (e22) (op2 (e22) (e22))) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H4c5].
% 83.65/83.85 congruence.
% 83.65/83.85 apply (zenon_L565_); trivial.
% 83.65/83.85 apply zenon_H4ca. apply refl_equal.
% 83.65/83.85 apply zenon_H4ca. apply refl_equal.
% 83.65/83.85 apply zenon_Ha1. apply refl_equal.
% 83.65/83.85 (* end of lemma zenon_L566_ *)
% 83.65/83.85 assert (zenon_L567_ : (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> (~((e20) = (e22))) -> ((op2 (e22) (e21)) = (e20)) -> (~((op2 (e22) (op2 (e22) (e22))) = (e22))) -> ((op2 (e22) (e23)) = (e21)) -> (~((e21) = (e22))) -> False).
% 83.65/83.85 do 0 intro. intros zenon_Hff zenon_Hef zenon_H78 zenon_Ha3 zenon_He4 zenon_H4c7 zenon_Hfc zenon_Ha8.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Hee | zenon_intro zenon_H100 ].
% 83.65/83.85 apply (zenon_L57_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H101 ].
% 83.65/83.85 apply (zenon_L58_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_Hf9 | zenon_intro zenon_Hfd ].
% 83.65/83.85 apply (zenon_L566_); trivial.
% 83.65/83.85 apply (zenon_L60_); trivial.
% 83.65/83.85 (* end of lemma zenon_L567_ *)
% 83.65/83.85 assert (zenon_L568_ : (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((op2 (e21) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((e21) = (e22))) -> (~((op2 (e22) (op2 (e22) (e22))) = (e22))) -> (~((e20) = (e22))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((e20) = (e21))) -> ((op2 (e22) (e20)) = (e23)) -> (~((e21) = (e23))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> ((op2 (e20) (e21)) = (e23)) -> False).
% 83.65/83.85 do 0 intro. intros zenon_H14f zenon_H8a zenon_H5d zenon_H82 zenon_H7c zenon_H94 zenon_H8e zenon_H91 zenon_H73 zenon_Hce zenon_Hab zenon_Hd1 zenon_Ha8 zenon_H4c7 zenon_Ha3 zenon_H78 zenon_Hef zenon_Hff zenon_H7a zenon_He8 zenon_Had zenon_H152 zenon_Hd6 zenon_H102 zenon_H14b zenon_Hb8.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ].
% 83.65/83.85 apply (zenon_L49_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ].
% 83.65/83.85 apply (zenon_L50_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ].
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hbb | zenon_intro zenon_H103 ].
% 83.65/83.85 apply (zenon_L83_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_He5 | zenon_intro zenon_H104 ].
% 83.65/83.85 apply (zenon_L55_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_He7 | zenon_intro zenon_Hfc ].
% 83.65/83.85 apply (zenon_L56_); trivial.
% 83.65/83.85 apply (zenon_L567_); trivial.
% 83.65/83.85 apply (zenon_L81_); trivial.
% 83.65/83.85 (* end of lemma zenon_L568_ *)
% 83.65/83.85 assert (zenon_L569_ : (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e20)) = (e20)) -> ((op2 (e22) (e22)) = (e20)) -> False).
% 83.65/83.85 do 0 intro. intros zenon_H4cb zenon_H21d zenon_H4cc.
% 83.65/83.85 cut (((op2 (e22) (e20)) = (e20)) = ((op2 (e22) (e20)) = (op2 (e22) (e22)))).
% 83.65/83.85 intro zenon_D_pnotp.
% 83.65/83.85 apply zenon_H4cb.
% 83.65/83.85 rewrite <- zenon_D_pnotp.
% 83.65/83.85 exact zenon_H21d.
% 83.65/83.85 cut (((e20) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H4cd].
% 83.65/83.85 cut (((op2 (e22) (e20)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hf1].
% 83.65/83.85 congruence.
% 83.65/83.85 apply zenon_Hf1. apply refl_equal.
% 83.65/83.85 apply zenon_H4cd. apply sym_equal. exact zenon_H4cc.
% 83.65/83.85 (* end of lemma zenon_L569_ *)
% 83.65/83.85 assert (zenon_L570_ : (~((op2 (e20) (op2 (e22) (e22))) = (op2 (e20) (e23)))) -> ((op2 (e22) (e22)) = (e23)) -> False).
% 83.65/83.85 do 0 intro. intros zenon_H4ce zenon_H4cf.
% 83.65/83.85 cut (((op2 (e22) (e22)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H4d0].
% 83.65/83.85 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H60].
% 83.65/83.85 congruence.
% 83.65/83.85 apply zenon_H60. apply refl_equal.
% 83.65/83.85 exact (zenon_H4d0 zenon_H4cf).
% 83.65/83.85 (* end of lemma zenon_L570_ *)
% 83.65/83.85 assert (zenon_L571_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e21) (e20)) = (e23)) -> (~((e20) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((e20) = (e22))) -> ((op2 (e21) (e21)) = (e20)) -> ((op2 (e20) (e23)) = (e20)) -> (~((op2 (e20) (op2 (e22) (e22))) = (e20))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e20)) = (e20)) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((e21) = (e22))) -> False).
% 83.65/83.85 do 0 intro. intros zenon_H140 zenon_Hd6 zenon_Hd5 zenon_Had zenon_H124 zenon_H142 zenon_Hdc zenon_Ha3 zenon_Hd2 zenon_H63 zenon_H4d1 zenon_Hf7 zenon_H7a zenon_H78 zenon_He8 zenon_H4cb zenon_H21d zenon_H4d2 zenon_Ha8.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ].
% 83.65/83.85 apply (zenon_L52_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ].
% 83.65/83.85 apply (zenon_L536_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ].
% 83.65/83.85 apply (zenon_L71_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 83.65/83.85 apply (zenon_L53_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_He2 | zenon_intro zenon_H146 ].
% 83.65/83.85 apply (zenon_L537_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H130 ].
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H4d2); [ zenon_intro zenon_H4cc | zenon_intro zenon_H4d3 ].
% 83.65/83.85 apply (zenon_L569_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H4d3); [ zenon_intro zenon_He7 | zenon_intro zenon_H4d4 ].
% 83.65/83.85 apply (zenon_L56_); trivial.
% 83.65/83.85 apply (zenon_or_s _ _ zenon_H4d4); [ zenon_intro zenon_Hf9 | zenon_intro zenon_H4cf ].
% 83.65/83.85 apply (zenon_L59_); trivial.
% 83.65/83.85 cut (((op2 (e20) (e23)) = (e20)) = ((op2 (e20) (op2 (e22) (e22))) = (e20))).
% 83.65/83.85 intro zenon_D_pnotp.
% 83.65/83.85 apply zenon_H4d1.
% 83.65/83.85 rewrite <- zenon_D_pnotp.
% 83.65/83.85 exact zenon_H63.
% 83.65/83.85 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H60].
% 83.65/83.85 cut (((op2 (e20) (e23)) = (op2 (e20) (op2 (e22) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H4d5].
% 83.65/83.85 congruence.
% 83.65/83.85 elim (classic ((op2 (e20) (op2 (e22) (e22))) = (op2 (e20) (op2 (e22) (e22))))); [ zenon_intro zenon_H4d6 | zenon_intro zenon_H4d7 ].
% 83.65/83.85 cut (((op2 (e20) (op2 (e22) (e22))) = (op2 (e20) (op2 (e22) (e22)))) = ((op2 (e20) (e23)) = (op2 (e20) (op2 (e22) (e22))))).
% 83.65/83.85 intro zenon_D_pnotp.
% 83.65/83.85 apply zenon_H4d5.
% 83.65/83.85 rewrite <- zenon_D_pnotp.
% 83.65/83.85 exact zenon_H4d6.
% 83.65/83.85 cut (((op2 (e20) (op2 (e22) (e22))) = (op2 (e20) (op2 (e22) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H4d7].
% 83.65/83.85 cut (((op2 (e20) (op2 (e22) (e22))) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H4ce].
% 83.65/83.85 congruence.
% 83.65/83.85 apply (zenon_L570_); trivial.
% 83.65/83.85 apply zenon_H4d7. apply refl_equal.
% 83.65/83.85 apply zenon_H4d7. apply refl_equal.
% 83.65/83.85 apply zenon_H60. apply refl_equal.
% 83.65/83.85 apply (zenon_L77_); trivial.
% 83.65/83.85 (* end of lemma zenon_L571_ *)
% 83.65/83.85 assert (zenon_L572_ : (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e21) = (e22))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (op2 (e22) (e22))) = (e20))) -> ((op2 (e21) (e21)) = (e20)) -> (~((e20) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((e20) = (e21))) -> ((op2 (e21) (e20)) = (e23)) -> (~((e21) = (e23))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.65/83.85 do 0 intro. intros zenon_Hce zenon_Ha8 zenon_H4d2 zenon_H21d zenon_H4cb zenon_He8 zenon_Hf7 zenon_H4d1 zenon_Hd2 zenon_Ha3 zenon_Hdc zenon_H142 zenon_H124 zenon_Had zenon_Hd5 zenon_Hd6 zenon_H140 zenon_H73 zenon_H91 zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H63 | zenon_intro zenon_Hcf ].
% 83.65/83.86 apply (zenon_L571_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H74 | zenon_intro zenon_Hd0 ].
% 83.65/83.86 apply (zenon_L32_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H92 | zenon_intro zenon_H95 ].
% 83.65/83.86 apply (zenon_L34_); trivial.
% 83.65/83.86 apply (zenon_L36_); trivial.
% 83.65/83.86 (* end of lemma zenon_L572_ *)
% 83.65/83.86 assert (zenon_L573_ : (((op2 (e22) (e22)) = (op2 (e22) (e22)))/\((~((op2 (e20) (op2 (e22) (e22))) = (e20)))/\((~((op2 (e21) (op2 (e22) (e22))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e22) (e22))) = (e23))))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e21) = (e22))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((e20) = (e23))) -> (~((e21) = (e23))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((e20) = (e21))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.65/83.86 do 0 intro. intros zenon_H4d8 zenon_H48d zenon_H12f zenon_H134 zenon_H129 zenon_H11f zenon_H12c zenon_H133 zenon_H141 zenon_Hbc zenon_H102 zenon_Hff zenon_Hef zenon_Hd1 zenon_H15c zenon_H14b zenon_H48b zenon_Hce zenon_Ha8 zenon_H4d2 zenon_H4cb zenon_He8 zenon_Hf7 zenon_Ha3 zenon_Hdc zenon_H142 zenon_H124 zenon_H140 zenon_H73 zenon_H91 zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H14f zenon_H21e zenon_Hd6 zenon_H15b zenon_Hc9 zenon_Hb2 zenon_Hba zenon_H118 zenon_H78 zenon_H112 zenon_H13e zenon_Had zenon_H11b zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a.
% 83.65/83.86 apply (zenon_and_s _ _ zenon_H4d8). zenon_intro zenon_He9. zenon_intro zenon_H4d9.
% 83.65/83.86 apply (zenon_and_s _ _ zenon_H4d9). zenon_intro zenon_H4d1. zenon_intro zenon_H4da.
% 83.65/83.86 apply (zenon_and_s _ _ zenon_H4da). zenon_intro zenon_H4dc. zenon_intro zenon_H4db.
% 83.65/83.86 apply (zenon_and_s _ _ zenon_H4db). zenon_intro zenon_H4c7. zenon_intro zenon_H4dd.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.65/83.86 apply (zenon_L40_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.65/83.86 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ].
% 83.65/83.86 apply (zenon_L43_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ].
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ].
% 83.65/83.86 apply (zenon_L43_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ].
% 83.65/83.86 apply (zenon_L82_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ].
% 83.65/83.86 apply (zenon_L568_); trivial.
% 83.65/83.86 apply (zenon_L140_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ].
% 83.65/83.86 apply (zenon_L46_); trivial.
% 83.65/83.86 apply (zenon_L31_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.65/83.86 apply (zenon_L41_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.65/83.86 apply (zenon_L151_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.65/83.86 apply (zenon_L152_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ].
% 83.65/83.86 apply (zenon_L43_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ].
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ].
% 83.65/83.86 apply (zenon_L43_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ].
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ].
% 83.65/83.86 apply (zenon_L49_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ].
% 83.65/83.86 apply (zenon_L572_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ].
% 83.65/83.86 apply (zenon_L542_); trivial.
% 83.65/83.86 apply (zenon_L81_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ].
% 83.65/83.86 apply (zenon_L139_); trivial.
% 83.65/83.86 apply (zenon_L88_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ].
% 83.65/83.86 apply (zenon_L46_); trivial.
% 83.65/83.86 apply (zenon_L31_); trivial.
% 83.65/83.86 apply (zenon_L143_); trivial.
% 83.65/83.86 (* end of lemma zenon_L573_ *)
% 83.65/83.86 assert (zenon_L574_ : ((op2 (e23) (e22)) = (e20)) -> ((op2 (e23) (e22)) = (op2 (e22) (e23))) -> ((op2 (e20) (e23)) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> False).
% 83.65/83.86 do 0 intro. intros zenon_H121 zenon_H4de zenon_H63 zenon_H91.
% 83.65/83.86 elim (classic ((op2 (e22) (e23)) = (op2 (e22) (e23)))); [ zenon_intro zenon_H4df | zenon_intro zenon_H4e0 ].
% 83.65/83.86 cut (((op2 (e22) (e23)) = (op2 (e22) (e23))) = ((op2 (e20) (e23)) = (op2 (e22) (e23)))).
% 83.65/83.86 intro zenon_D_pnotp.
% 83.65/83.86 apply zenon_H91.
% 83.65/83.86 rewrite <- zenon_D_pnotp.
% 83.65/83.86 exact zenon_H4df.
% 83.65/83.86 cut (((op2 (e22) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H4e0].
% 83.65/83.86 cut (((op2 (e22) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H4e1].
% 83.65/83.86 congruence.
% 83.65/83.86 cut (((op2 (e23) (e22)) = (e20)) = ((op2 (e22) (e23)) = (op2 (e20) (e23)))).
% 83.65/83.86 intro zenon_D_pnotp.
% 83.65/83.86 apply zenon_H4e1.
% 83.65/83.86 rewrite <- zenon_D_pnotp.
% 83.65/83.86 exact zenon_H121.
% 83.65/83.86 cut (((e20) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H4e2].
% 83.65/83.86 cut (((op2 (e23) (e22)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H4e3].
% 83.65/83.86 congruence.
% 83.65/83.86 exact (zenon_H4e3 zenon_H4de).
% 83.65/83.86 apply zenon_H4e2. apply sym_equal. exact zenon_H63.
% 83.65/83.86 apply zenon_H4e0. apply refl_equal.
% 83.65/83.86 apply zenon_H4e0. apply refl_equal.
% 83.65/83.86 (* end of lemma zenon_L574_ *)
% 83.65/83.86 assert (zenon_L575_ : (((op2 (e23) (e22)) = (op2 (e22) (e23)))/\((~((op2 (e20) (op2 (e22) (e23))) = (e20)))/\((~((op2 (e21) (op2 (e22) (e23))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e23))) = (e22)))/\(~((op2 (e23) (op2 (e22) (e23))) = (e23))))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e20) = (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.65/83.86 do 0 intro. intros zenon_H4e4 zenon_Hc9 zenon_Hb2 zenon_H78 zenon_H82 zenon_H7c zenon_H94 zenon_H8e zenon_Hce zenon_H73 zenon_H91 zenon_H14b zenon_H11b zenon_Had zenon_H13e zenon_H112 zenon_H118 zenon_Hba zenon_H134 zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a.
% 83.65/83.86 apply (zenon_and_s _ _ zenon_H4e4). zenon_intro zenon_H4de. zenon_intro zenon_H4e5.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ].
% 83.65/83.86 apply (zenon_L43_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ].
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H10b | zenon_intro zenon_H137 ].
% 83.65/83.86 apply (zenon_L142_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H11e | zenon_intro zenon_H138 ].
% 83.65/83.86 apply (zenon_L81_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H121 | zenon_intro zenon_H95 ].
% 83.65/83.86 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H63 | zenon_intro zenon_Hcf ].
% 83.65/83.86 apply (zenon_L574_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H74 | zenon_intro zenon_Hd0 ].
% 83.65/83.86 apply (zenon_L32_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H92 | zenon_intro zenon_H95 ].
% 83.65/83.86 apply (zenon_L34_); trivial.
% 83.65/83.86 apply (zenon_L36_); trivial.
% 83.65/83.86 apply (zenon_L36_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ].
% 83.65/83.86 apply (zenon_L46_); trivial.
% 83.65/83.86 apply (zenon_L31_); trivial.
% 83.65/83.86 (* end of lemma zenon_L575_ *)
% 83.65/83.86 assert (zenon_L576_ : (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e23)) = (e20)) -> ((op2 (e20) (e23)) = (op2 (e23) (e20))) -> ((op2 (e23) (e22)) = (e20)) -> False).
% 83.65/83.86 do 0 intro. intros zenon_H462 zenon_H63 zenon_H4e6 zenon_H121.
% 83.65/83.86 cut (((op2 (e20) (e23)) = (e20)) = ((op2 (e23) (e20)) = (op2 (e23) (e22)))).
% 83.65/83.86 intro zenon_D_pnotp.
% 83.65/83.86 apply zenon_H462.
% 83.65/83.86 rewrite <- zenon_D_pnotp.
% 83.65/83.86 exact zenon_H63.
% 83.65/83.86 cut (((e20) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H122].
% 83.65/83.86 cut (((op2 (e20) (e23)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H464].
% 83.65/83.86 congruence.
% 83.65/83.86 exact (zenon_H464 zenon_H4e6).
% 83.65/83.86 apply zenon_H122. apply sym_equal. exact zenon_H121.
% 83.65/83.86 (* end of lemma zenon_L576_ *)
% 83.65/83.86 assert (zenon_L577_ : (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((op2 (e23) (e22)) = (e20)) -> ((op2 (e20) (e23)) = (op2 (e23) (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.65/83.86 do 0 intro. intros zenon_Hce zenon_H121 zenon_H4e6 zenon_H462 zenon_H73 zenon_H91 zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H63 | zenon_intro zenon_Hcf ].
% 83.65/83.86 apply (zenon_L576_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H74 | zenon_intro zenon_Hd0 ].
% 83.65/83.86 apply (zenon_L32_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H92 | zenon_intro zenon_H95 ].
% 83.65/83.86 apply (zenon_L34_); trivial.
% 83.65/83.86 apply (zenon_L36_); trivial.
% 83.65/83.86 (* end of lemma zenon_L577_ *)
% 83.65/83.86 assert (zenon_L578_ : (((op2 (e20) (e23)) = (op2 (e23) (e20)))/\((~((op2 (e20) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e23) (e20))) = (e21)))/\((~((op2 (e22) (op2 (e23) (e20))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e20))) = (e23))))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e20) = (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.65/83.86 do 0 intro. intros zenon_H4e7 zenon_Hc9 zenon_Hb2 zenon_H78 zenon_H82 zenon_H7c zenon_H94 zenon_H8e zenon_Hce zenon_H462 zenon_H73 zenon_H91 zenon_H14b zenon_H11b zenon_Had zenon_H13e zenon_H112 zenon_H118 zenon_Hba zenon_H134 zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a.
% 83.65/83.86 apply (zenon_and_s _ _ zenon_H4e7). zenon_intro zenon_H4e6. zenon_intro zenon_H4e8.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ].
% 83.65/83.86 apply (zenon_L43_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ].
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H10b | zenon_intro zenon_H137 ].
% 83.65/83.86 apply (zenon_L142_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H11e | zenon_intro zenon_H138 ].
% 83.65/83.86 apply (zenon_L81_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H121 | zenon_intro zenon_H95 ].
% 83.65/83.86 apply (zenon_L577_); trivial.
% 83.65/83.86 apply (zenon_L36_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ].
% 83.65/83.86 apply (zenon_L46_); trivial.
% 83.65/83.86 apply (zenon_L31_); trivial.
% 83.65/83.86 (* end of lemma zenon_L578_ *)
% 83.65/83.86 assert (zenon_L579_ : ((op2 (e21) (e23)) = (e21)) -> ((op2 (e21) (e23)) = (op2 (e23) (e21))) -> ((op2 (e22) (e21)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> False).
% 83.65/83.86 do 0 intro. intros zenon_H13c zenon_H4e9 zenon_He5 zenon_H49b.
% 83.65/83.86 elim (classic ((op2 (e23) (e21)) = (op2 (e23) (e21)))); [ zenon_intro zenon_H49d | zenon_intro zenon_H49e ].
% 83.65/83.86 cut (((op2 (e23) (e21)) = (op2 (e23) (e21))) = ((op2 (e22) (e21)) = (op2 (e23) (e21)))).
% 83.65/83.86 intro zenon_D_pnotp.
% 83.65/83.86 apply zenon_H49b.
% 83.65/83.86 rewrite <- zenon_D_pnotp.
% 83.65/83.86 exact zenon_H49d.
% 83.65/83.86 cut (((op2 (e23) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H49e].
% 83.65/83.86 cut (((op2 (e23) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H49f].
% 83.65/83.86 congruence.
% 83.65/83.86 cut (((op2 (e21) (e23)) = (e21)) = ((op2 (e23) (e21)) = (op2 (e22) (e21)))).
% 83.65/83.86 intro zenon_D_pnotp.
% 83.65/83.86 apply zenon_H49f.
% 83.65/83.86 rewrite <- zenon_D_pnotp.
% 83.65/83.86 exact zenon_H13c.
% 83.65/83.86 cut (((e21) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H4a0].
% 83.65/83.86 cut (((op2 (e21) (e23)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H4a1].
% 83.65/83.86 congruence.
% 83.65/83.86 exact (zenon_H4a1 zenon_H4e9).
% 83.65/83.86 apply zenon_H4a0. apply sym_equal. exact zenon_He5.
% 83.65/83.86 apply zenon_H49e. apply refl_equal.
% 83.65/83.86 apply zenon_H49e. apply refl_equal.
% 83.65/83.86 (* end of lemma zenon_L579_ *)
% 83.65/83.86 assert (zenon_L580_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e21) (e20)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> ((e22) = (op2 (e20) (e20))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e20) = (e21))) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e21) (e23)) = (op2 (e23) (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e20)) = (e21)) -> False).
% 83.65/83.86 do 0 intro. intros zenon_H140 zenon_Hd6 zenon_Hd5 zenon_H124 zenon_H141 zenon_H78 zenon_H7a zenon_Hc3 zenon_Had zenon_Hd2 zenon_H49b zenon_H4e9 zenon_H13e zenon_H10c.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ].
% 83.65/83.86 apply (zenon_L52_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ].
% 83.65/83.86 apply (zenon_L536_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ].
% 83.65/83.86 apply (zenon_L71_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H139 | zenon_intro zenon_H147 ].
% 83.65/83.86 apply (zenon_L76_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_He1 | zenon_intro zenon_H148 ].
% 83.65/83.86 apply (zenon_L536_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_He5 | zenon_intro zenon_H10e ].
% 83.65/83.86 apply (zenon_L579_); trivial.
% 83.65/83.86 apply (zenon_L517_); trivial.
% 83.65/83.86 (* end of lemma zenon_L580_ *)
% 83.65/83.86 assert (zenon_L581_ : (~((op2 (e22) (op2 (e23) (e21))) = (op2 (e22) (e22)))) -> ((op2 (e23) (e21)) = (e22)) -> False).
% 83.65/83.86 do 0 intro. intros zenon_H4ea zenon_H10f.
% 83.65/83.86 cut (((op2 (e23) (e21)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H110].
% 83.65/83.86 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Ha1].
% 83.65/83.86 congruence.
% 83.65/83.86 apply zenon_Ha1. apply refl_equal.
% 83.65/83.86 exact (zenon_H110 zenon_H10f).
% 83.65/83.86 (* end of lemma zenon_L581_ *)
% 83.65/83.86 assert (zenon_L582_ : (~((op2 (e22) (op2 (e23) (e21))) = (e22))) -> ((op2 (e22) (e22)) = (e22)) -> ((op2 (e23) (e21)) = (e22)) -> False).
% 83.65/83.86 do 0 intro. intros zenon_H4eb zenon_Hf9 zenon_H10f.
% 83.65/83.86 cut (((op2 (e22) (e22)) = (e22)) = ((op2 (e22) (op2 (e23) (e21))) = (e22))).
% 83.65/83.86 intro zenon_D_pnotp.
% 83.65/83.86 apply zenon_H4eb.
% 83.65/83.86 rewrite <- zenon_D_pnotp.
% 83.65/83.86 exact zenon_Hf9.
% 83.65/83.86 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Ha1].
% 83.65/83.86 cut (((op2 (e22) (e22)) = (op2 (e22) (op2 (e23) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H4ec].
% 83.65/83.86 congruence.
% 83.65/83.86 elim (classic ((op2 (e22) (op2 (e23) (e21))) = (op2 (e22) (op2 (e23) (e21))))); [ zenon_intro zenon_H4ed | zenon_intro zenon_H4ee ].
% 83.65/83.86 cut (((op2 (e22) (op2 (e23) (e21))) = (op2 (e22) (op2 (e23) (e21)))) = ((op2 (e22) (e22)) = (op2 (e22) (op2 (e23) (e21))))).
% 83.65/83.86 intro zenon_D_pnotp.
% 83.65/83.86 apply zenon_H4ec.
% 83.65/83.86 rewrite <- zenon_D_pnotp.
% 83.65/83.86 exact zenon_H4ed.
% 83.65/83.86 cut (((op2 (e22) (op2 (e23) (e21))) = (op2 (e22) (op2 (e23) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H4ee].
% 83.65/83.86 cut (((op2 (e22) (op2 (e23) (e21))) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H4ea].
% 83.65/83.86 congruence.
% 83.65/83.86 apply (zenon_L581_); trivial.
% 83.65/83.86 apply zenon_H4ee. apply refl_equal.
% 83.65/83.86 apply zenon_H4ee. apply refl_equal.
% 83.65/83.86 apply zenon_Ha1. apply refl_equal.
% 83.65/83.86 (* end of lemma zenon_L582_ *)
% 83.65/83.86 assert (zenon_L583_ : (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> (~((e20) = (e22))) -> ((op2 (e22) (e21)) = (e20)) -> ((op2 (e23) (e21)) = (e22)) -> (~((op2 (e22) (op2 (e23) (e21))) = (e22))) -> ((op2 (e22) (e23)) = (e21)) -> (~((e21) = (e22))) -> False).
% 83.65/83.86 do 0 intro. intros zenon_Hff zenon_Hef zenon_H78 zenon_Ha3 zenon_He4 zenon_H10f zenon_H4eb zenon_Hfc zenon_Ha8.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Hee | zenon_intro zenon_H100 ].
% 83.65/83.86 apply (zenon_L57_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H101 ].
% 83.65/83.86 apply (zenon_L58_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_Hf9 | zenon_intro zenon_Hfd ].
% 83.65/83.86 apply (zenon_L582_); trivial.
% 83.65/83.86 apply (zenon_L60_); trivial.
% 83.65/83.86 (* end of lemma zenon_L583_ *)
% 83.65/83.86 assert (zenon_L584_ : (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (e23)) = (e21)) -> ((op2 (e22) (e23)) = (e21)) -> False).
% 83.65/83.86 do 0 intro. intros zenon_H12f zenon_H13c zenon_Hfc.
% 83.65/83.86 cut (((op2 (e21) (e23)) = (e21)) = ((op2 (e21) (e23)) = (op2 (e22) (e23)))).
% 83.65/83.86 intro zenon_D_pnotp.
% 83.65/83.86 apply zenon_H12f.
% 83.65/83.86 rewrite <- zenon_D_pnotp.
% 83.65/83.86 exact zenon_H13c.
% 83.65/83.86 cut (((e21) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H4ef].
% 83.65/83.86 cut (((op2 (e21) (e23)) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H132].
% 83.65/83.86 congruence.
% 83.65/83.86 apply zenon_H132. apply refl_equal.
% 83.65/83.86 apply zenon_H4ef. apply sym_equal. exact zenon_Hfc.
% 83.65/83.86 (* end of lemma zenon_L584_ *)
% 83.65/83.86 assert (zenon_L585_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((op2 (e21) (e20)) = (e20)) -> (~((e21) = (e22))) -> (~((op2 (e22) (op2 (e23) (e21))) = (e22))) -> ((op2 (e22) (e21)) = (e20)) -> (~((e20) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e21)) = (e23)) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e21) (e23)) = (op2 (e23) (e21))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> False).
% 83.65/83.86 do 0 intro. intros zenon_H140 zenon_Hab zenon_Ha8 zenon_H4eb zenon_He4 zenon_Ha3 zenon_Hef zenon_Hff zenon_Had zenon_Hb2 zenon_H133 zenon_H124 zenon_H102 zenon_Hbc zenon_Hb8 zenon_Hba zenon_H49b zenon_H4e9 zenon_He8 zenon_H78 zenon_H7a zenon_H12f.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ].
% 83.65/83.86 apply (zenon_L42_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ].
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H105 | zenon_intro zenon_H135 ].
% 83.65/83.86 apply (zenon_L63_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_He2 | zenon_intro zenon_H136 ].
% 83.65/83.86 apply (zenon_L54_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H10f ].
% 83.65/83.86 apply (zenon_L58_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hbb | zenon_intro zenon_H103 ].
% 83.65/83.86 apply (zenon_L45_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_He5 | zenon_intro zenon_H104 ].
% 83.65/83.86 apply (zenon_L55_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_He7 | zenon_intro zenon_Hfc ].
% 83.65/83.86 apply (zenon_L56_); trivial.
% 83.65/83.86 apply (zenon_L583_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ].
% 83.65/83.86 apply (zenon_L71_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hbb | zenon_intro zenon_H103 ].
% 83.65/83.86 apply (zenon_L45_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_He5 | zenon_intro zenon_H104 ].
% 83.65/83.86 apply (zenon_L579_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_He7 | zenon_intro zenon_Hfc ].
% 83.65/83.86 apply (zenon_L56_); trivial.
% 83.65/83.86 apply (zenon_L584_); trivial.
% 83.65/83.86 (* end of lemma zenon_L585_ *)
% 83.65/83.86 assert (zenon_L586_ : (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e23) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((e20) = (e21))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e20) = (e22))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e20)) = (e23)) -> (~((e21) = (e23))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e22) (op2 (e23) (e21))) = (e22))) -> ((op2 (e21) (e20)) = (e20)) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> ((op2 (e20) (e21)) = (e23)) -> False).
% 83.65/83.86 do 0 intro. intros zenon_H14f zenon_H8a zenon_H5d zenon_H82 zenon_H7c zenon_H94 zenon_H8e zenon_H91 zenon_H73 zenon_Hce zenon_Hd1 zenon_H10c zenon_H13e zenon_Had zenon_H142 zenon_Hdc zenon_Hf7 zenon_Ha3 zenon_H78 zenon_Hef zenon_Hff zenon_H7a zenon_He8 zenon_H152 zenon_Hd6 zenon_H102 zenon_Ha8 zenon_Hc3 zenon_H141 zenon_H124 zenon_H133 zenon_Hb2 zenon_H4eb zenon_Hab zenon_H140 zenon_H14b zenon_Hb8.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ].
% 83.65/83.86 apply (zenon_L49_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ].
% 83.65/83.86 apply (zenon_L50_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ].
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ].
% 83.65/83.86 apply (zenon_L42_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ].
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H105 | zenon_intro zenon_H135 ].
% 83.65/83.86 apply (zenon_L63_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_He2 | zenon_intro zenon_H136 ].
% 83.65/83.86 apply (zenon_L54_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H10f ].
% 83.65/83.86 apply (zenon_L58_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hbb | zenon_intro zenon_H103 ].
% 83.65/83.86 apply (zenon_L83_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_He5 | zenon_intro zenon_H104 ].
% 83.65/83.86 apply (zenon_L55_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_He7 | zenon_intro zenon_Hfc ].
% 83.65/83.86 apply (zenon_L56_); trivial.
% 83.65/83.86 apply (zenon_L583_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ].
% 83.65/83.86 apply (zenon_L71_); trivial.
% 83.65/83.86 apply (zenon_L518_); trivial.
% 83.65/83.86 apply (zenon_L81_); trivial.
% 83.65/83.86 (* end of lemma zenon_L586_ *)
% 83.65/83.86 assert (zenon_L587_ : (((op2 (e21) (e23)) = (op2 (e23) (e21)))/\((~((op2 (e20) (op2 (e23) (e21))) = (e20)))/\((~((op2 (e21) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e23) (e21))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e21))) = (e23))))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e20) = (e22))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((e20) = (e23))) -> (~((e21) = (e23))) -> (~((e21) = (e22))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((e20) = (e21))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.65/83.86 do 0 intro. intros zenon_H4f0 zenon_H48d zenon_Hbc zenon_H12f zenon_H133 zenon_H102 zenon_He8 zenon_Hff zenon_Hef zenon_Ha3 zenon_Hf7 zenon_Hdc zenon_H142 zenon_Hd1 zenon_H15c zenon_H14b zenon_H48b zenon_H140 zenon_H124 zenon_H141 zenon_H49b zenon_Hce zenon_H73 zenon_H91 zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H14f zenon_H21e zenon_Hd6 zenon_Ha8 zenon_H15b zenon_Hc9 zenon_Hb2 zenon_Hba zenon_H118 zenon_H78 zenon_H112 zenon_H13e zenon_Had zenon_H11b zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a.
% 83.65/83.86 apply (zenon_and_s _ _ zenon_H4f0). zenon_intro zenon_H4e9. zenon_intro zenon_H4f1.
% 83.65/83.86 apply (zenon_and_s _ _ zenon_H4f1). zenon_intro zenon_H4f3. zenon_intro zenon_H4f2.
% 83.65/83.86 apply (zenon_and_s _ _ zenon_H4f2). zenon_intro zenon_H4f5. zenon_intro zenon_H4f4.
% 83.65/83.86 apply (zenon_and_s _ _ zenon_H4f4). zenon_intro zenon_H4eb. zenon_intro zenon_H4f6.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.65/83.86 apply (zenon_L40_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.65/83.86 apply (zenon_L41_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.65/83.86 apply (zenon_L42_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.65/83.86 apply (zenon_L47_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ].
% 83.65/83.86 apply (zenon_L43_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ].
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ].
% 83.65/83.86 apply (zenon_L43_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ].
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ].
% 83.65/83.86 apply (zenon_L49_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ].
% 83.65/83.86 apply (zenon_L580_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ].
% 83.65/83.86 apply (zenon_L585_); trivial.
% 83.65/83.86 apply (zenon_L81_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ].
% 83.65/83.86 apply (zenon_L586_); trivial.
% 83.65/83.86 apply (zenon_L140_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ].
% 83.65/83.86 apply (zenon_L46_); trivial.
% 83.65/83.86 apply (zenon_L31_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.65/83.86 apply (zenon_L41_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.65/83.86 apply (zenon_L151_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.65/83.86 apply (zenon_L152_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ].
% 83.65/83.86 apply (zenon_L43_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ].
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ].
% 83.65/83.86 apply (zenon_L43_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ].
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ].
% 83.65/83.86 apply (zenon_L49_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ].
% 83.65/83.86 apply (zenon_L580_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ].
% 83.65/83.86 apply (zenon_L542_); trivial.
% 83.65/83.86 apply (zenon_L81_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ].
% 83.65/83.86 apply (zenon_L139_); trivial.
% 83.65/83.86 apply (zenon_L88_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ].
% 83.65/83.86 apply (zenon_L46_); trivial.
% 83.65/83.86 apply (zenon_L31_); trivial.
% 83.65/83.86 apply (zenon_L143_); trivial.
% 83.65/83.86 (* end of lemma zenon_L587_ *)
% 83.65/83.86 assert (zenon_L588_ : ((op2 (e23) (e22)) = (e20)) -> ((op2 (e22) (e23)) = (op2 (e23) (e22))) -> ((op2 (e20) (e23)) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> False).
% 83.65/83.86 do 0 intro. intros zenon_H121 zenon_H4f7 zenon_H63 zenon_H91.
% 83.65/83.86 elim (classic ((op2 (e22) (e23)) = (op2 (e22) (e23)))); [ zenon_intro zenon_H4df | zenon_intro zenon_H4e0 ].
% 83.65/83.86 cut (((op2 (e22) (e23)) = (op2 (e22) (e23))) = ((op2 (e20) (e23)) = (op2 (e22) (e23)))).
% 83.65/83.86 intro zenon_D_pnotp.
% 83.65/83.86 apply zenon_H91.
% 83.65/83.86 rewrite <- zenon_D_pnotp.
% 83.65/83.86 exact zenon_H4df.
% 83.65/83.86 cut (((op2 (e22) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H4e0].
% 83.65/83.86 cut (((op2 (e22) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H4e1].
% 83.65/83.86 congruence.
% 83.65/83.86 cut (((op2 (e23) (e22)) = (e20)) = ((op2 (e22) (e23)) = (op2 (e20) (e23)))).
% 83.65/83.86 intro zenon_D_pnotp.
% 83.65/83.86 apply zenon_H4e1.
% 83.65/83.86 rewrite <- zenon_D_pnotp.
% 83.65/83.86 exact zenon_H121.
% 83.65/83.86 cut (((e20) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H4e2].
% 83.65/83.86 cut (((op2 (e23) (e22)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H4e3].
% 83.65/83.86 congruence.
% 83.65/83.86 elim (classic ((op2 (e22) (e23)) = (op2 (e22) (e23)))); [ zenon_intro zenon_H4df | zenon_intro zenon_H4e0 ].
% 83.65/83.86 cut (((op2 (e22) (e23)) = (op2 (e22) (e23))) = ((op2 (e23) (e22)) = (op2 (e22) (e23)))).
% 83.65/83.86 intro zenon_D_pnotp.
% 83.65/83.86 apply zenon_H4e3.
% 83.65/83.86 rewrite <- zenon_D_pnotp.
% 83.65/83.86 exact zenon_H4df.
% 83.65/83.86 cut (((op2 (e22) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H4e0].
% 83.65/83.86 cut (((op2 (e22) (e23)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H4f8].
% 83.65/83.86 congruence.
% 83.65/83.86 exact (zenon_H4f8 zenon_H4f7).
% 83.65/83.86 apply zenon_H4e0. apply refl_equal.
% 83.65/83.86 apply zenon_H4e0. apply refl_equal.
% 83.65/83.86 apply zenon_H4e2. apply sym_equal. exact zenon_H63.
% 83.65/83.86 apply zenon_H4e0. apply refl_equal.
% 83.65/83.86 apply zenon_H4e0. apply refl_equal.
% 83.65/83.86 (* end of lemma zenon_L588_ *)
% 83.65/83.86 assert (zenon_L589_ : (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((op2 (e22) (e23)) = (op2 (e23) (e22))) -> ((op2 (e23) (e22)) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.65/83.86 do 0 intro. intros zenon_Hce zenon_H4f7 zenon_H121 zenon_H73 zenon_H91 zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H63 | zenon_intro zenon_Hcf ].
% 83.65/83.86 apply (zenon_L588_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H74 | zenon_intro zenon_Hd0 ].
% 83.65/83.86 apply (zenon_L32_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H92 | zenon_intro zenon_H95 ].
% 83.65/83.86 apply (zenon_L34_); trivial.
% 83.65/83.86 apply (zenon_L36_); trivial.
% 83.65/83.86 (* end of lemma zenon_L589_ *)
% 83.65/83.86 assert (zenon_L590_ : (((op2 (e22) (e23)) = (op2 (e23) (e22)))/\((~((op2 (e20) (op2 (e23) (e22))) = (e20)))/\((~((op2 (e21) (op2 (e23) (e22))) = (e21)))/\((~((op2 (e22) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e22))) = (e23))))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e20) = (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.65/83.86 do 0 intro. intros zenon_H4f9 zenon_Hc9 zenon_Hb2 zenon_H78 zenon_H82 zenon_H7c zenon_H94 zenon_H8e zenon_Hce zenon_H73 zenon_H91 zenon_H14b zenon_H11b zenon_Had zenon_H13e zenon_H112 zenon_H118 zenon_Hba zenon_H134 zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a.
% 83.65/83.86 apply (zenon_and_s _ _ zenon_H4f9). zenon_intro zenon_H4f7. zenon_intro zenon_H4fa.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ].
% 83.65/83.86 apply (zenon_L43_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ].
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H10b | zenon_intro zenon_H137 ].
% 83.65/83.86 apply (zenon_L142_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H11e | zenon_intro zenon_H138 ].
% 83.65/83.86 apply (zenon_L81_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H121 | zenon_intro zenon_H95 ].
% 83.65/83.86 apply (zenon_L589_); trivial.
% 83.65/83.86 apply (zenon_L36_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ].
% 83.65/83.86 apply (zenon_L46_); trivial.
% 83.65/83.86 apply (zenon_L31_); trivial.
% 83.65/83.86 (* end of lemma zenon_L590_ *)
% 83.65/83.86 assert (zenon_L591_ : (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e22) (e20)) = (e21)) -> ((op2 (e22) (e21)) = (e21)) -> False).
% 83.65/83.86 do 0 intro. intros zenon_H48b zenon_Hbb zenon_He5.
% 83.65/83.86 cut (((op2 (e22) (e20)) = (e21)) = ((op2 (e22) (e20)) = (op2 (e22) (e21)))).
% 83.65/83.86 intro zenon_D_pnotp.
% 83.65/83.86 apply zenon_H48b.
% 83.65/83.86 rewrite <- zenon_D_pnotp.
% 83.65/83.86 exact zenon_Hbb.
% 83.65/83.86 cut (((e21) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H4a0].
% 83.65/83.86 cut (((op2 (e22) (e20)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hf1].
% 83.65/83.86 congruence.
% 83.65/83.86 apply zenon_Hf1. apply refl_equal.
% 83.65/83.86 apply zenon_H4a0. apply sym_equal. exact zenon_He5.
% 83.65/83.86 (* end of lemma zenon_L591_ *)
% 83.65/83.86 assert (zenon_L592_ : (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> ((e22) = (op2 (e20) (e20))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e20) = (e21))) -> ((op2 (e21) (e21)) = (e20)) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> ((op2 (e20) (e21)) = (e23)) -> False).
% 83.65/83.86 do 0 intro. intros zenon_H141 zenon_H78 zenon_H7a zenon_Hc3 zenon_Had zenon_Hd2 zenon_Hbb zenon_H48b zenon_H13e zenon_Hba zenon_Hb8.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H139 | zenon_intro zenon_H147 ].
% 83.65/83.86 apply (zenon_L76_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_He1 | zenon_intro zenon_H148 ].
% 83.65/83.86 apply (zenon_L536_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_He5 | zenon_intro zenon_H10e ].
% 83.65/83.86 apply (zenon_L591_); trivial.
% 83.65/83.86 apply (zenon_L78_); trivial.
% 83.65/83.86 (* end of lemma zenon_L592_ *)
% 83.65/83.86 assert (zenon_L593_ : (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e21)) = (e22)) -> ((op2 (e23) (e23)) = (e22)) -> False).
% 83.65/83.86 do 0 intro. intros zenon_H4fb zenon_H10f zenon_H4fc.
% 83.65/83.86 cut (((op2 (e23) (e21)) = (e22)) = ((op2 (e23) (e21)) = (op2 (e23) (e23)))).
% 83.65/83.86 intro zenon_D_pnotp.
% 83.65/83.86 apply zenon_H4fb.
% 83.65/83.86 rewrite <- zenon_D_pnotp.
% 83.65/83.86 exact zenon_H10f.
% 83.65/83.86 cut (((e22) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H4fd].
% 83.65/83.86 cut (((op2 (e23) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H49e].
% 83.65/83.86 congruence.
% 83.65/83.86 apply zenon_H49e. apply refl_equal.
% 83.65/83.86 apply zenon_H4fd. apply sym_equal. exact zenon_H4fc.
% 83.65/83.86 (* end of lemma zenon_L593_ *)
% 83.65/83.86 assert (zenon_L594_ : (~((op2 (e20) (op2 (e23) (e23))) = (op2 (e20) (e23)))) -> ((op2 (e23) (e23)) = (e23)) -> False).
% 83.65/83.86 do 0 intro. intros zenon_H4fe zenon_H4ff.
% 83.65/83.86 cut (((op2 (e23) (e23)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H500].
% 83.65/83.86 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H60].
% 83.65/83.86 congruence.
% 83.65/83.86 apply zenon_H60. apply refl_equal.
% 83.65/83.86 exact (zenon_H500 zenon_H4ff).
% 83.65/83.86 (* end of lemma zenon_L594_ *)
% 83.65/83.86 assert (zenon_L595_ : (~((op2 (e20) (op2 (e23) (e23))) = (e20))) -> ((op2 (e20) (e23)) = (e20)) -> ((op2 (e23) (e23)) = (e23)) -> False).
% 83.65/83.86 do 0 intro. intros zenon_H501 zenon_H63 zenon_H4ff.
% 83.65/83.86 cut (((op2 (e20) (e23)) = (e20)) = ((op2 (e20) (op2 (e23) (e23))) = (e20))).
% 83.65/83.86 intro zenon_D_pnotp.
% 83.65/83.86 apply zenon_H501.
% 83.65/83.86 rewrite <- zenon_D_pnotp.
% 83.65/83.86 exact zenon_H63.
% 83.65/83.86 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H60].
% 83.65/83.86 cut (((op2 (e20) (e23)) = (op2 (e20) (op2 (e23) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H502].
% 83.65/83.86 congruence.
% 83.65/83.86 elim (classic ((op2 (e20) (op2 (e23) (e23))) = (op2 (e20) (op2 (e23) (e23))))); [ zenon_intro zenon_H503 | zenon_intro zenon_H504 ].
% 83.65/83.86 cut (((op2 (e20) (op2 (e23) (e23))) = (op2 (e20) (op2 (e23) (e23)))) = ((op2 (e20) (e23)) = (op2 (e20) (op2 (e23) (e23))))).
% 83.65/83.86 intro zenon_D_pnotp.
% 83.65/83.86 apply zenon_H502.
% 83.65/83.86 rewrite <- zenon_D_pnotp.
% 83.65/83.86 exact zenon_H503.
% 83.65/83.86 cut (((op2 (e20) (op2 (e23) (e23))) = (op2 (e20) (op2 (e23) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H504].
% 83.65/83.86 cut (((op2 (e20) (op2 (e23) (e23))) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H4fe].
% 83.65/83.86 congruence.
% 83.65/83.86 apply (zenon_L594_); trivial.
% 83.65/83.86 apply zenon_H504. apply refl_equal.
% 83.65/83.86 apply zenon_H504. apply refl_equal.
% 83.65/83.86 apply zenon_H60. apply refl_equal.
% 83.65/83.86 (* end of lemma zenon_L595_ *)
% 83.65/83.86 assert (zenon_L596_ : (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e21)) = (e23)) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e21)) = (e22)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (op2 (e23) (e23))) = (e20))) -> ((op2 (e20) (e23)) = (e20)) -> False).
% 83.65/83.86 do 0 intro. intros zenon_H505 zenon_H94 zenon_Hb8 zenon_Hba zenon_H118 zenon_H10f zenon_H4fb zenon_H501 zenon_H63.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H505); [ zenon_intro zenon_H95 | zenon_intro zenon_H506 ].
% 83.65/83.86 apply (zenon_L35_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H506); [ zenon_intro zenon_H119 | zenon_intro zenon_H507 ].
% 83.65/83.86 apply (zenon_L67_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H507); [ zenon_intro zenon_H4fc | zenon_intro zenon_H4ff ].
% 83.65/83.86 apply (zenon_L593_); trivial.
% 83.65/83.86 apply (zenon_L595_); trivial.
% 83.65/83.86 (* end of lemma zenon_L596_ *)
% 83.65/83.86 assert (zenon_L597_ : ((e22) = (op2 (e20) (e20))) -> ((op2 (e23) (e20)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> False).
% 83.65/83.86 do 0 intro. intros zenon_H78 zenon_H508 zenon_H509.
% 83.65/83.86 elim (classic ((op2 (e23) (e20)) = (op2 (e23) (e20)))); [ zenon_intro zenon_Hbd | zenon_intro zenon_Hbe ].
% 83.65/83.86 cut (((op2 (e23) (e20)) = (op2 (e23) (e20))) = ((op2 (e20) (e20)) = (op2 (e23) (e20)))).
% 83.65/83.86 intro zenon_D_pnotp.
% 83.65/83.86 apply zenon_H509.
% 83.65/83.86 rewrite <- zenon_D_pnotp.
% 83.65/83.86 exact zenon_Hbd.
% 83.65/83.86 cut (((op2 (e23) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hbe].
% 83.65/83.86 cut (((op2 (e23) (e20)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H50a].
% 83.65/83.86 congruence.
% 83.65/83.86 cut (((e22) = (op2 (e20) (e20))) = ((op2 (e23) (e20)) = (op2 (e20) (e20)))).
% 83.65/83.86 intro zenon_D_pnotp.
% 83.65/83.86 apply zenon_H50a.
% 83.65/83.86 rewrite <- zenon_D_pnotp.
% 83.65/83.86 exact zenon_H78.
% 83.65/83.86 cut (((op2 (e20) (e20)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H84].
% 83.65/83.86 cut (((e22) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H50b].
% 83.65/83.86 congruence.
% 83.65/83.86 elim (classic ((op2 (e23) (e20)) = (op2 (e23) (e20)))); [ zenon_intro zenon_Hbd | zenon_intro zenon_Hbe ].
% 83.65/83.86 cut (((op2 (e23) (e20)) = (op2 (e23) (e20))) = ((e22) = (op2 (e23) (e20)))).
% 83.65/83.86 intro zenon_D_pnotp.
% 83.65/83.86 apply zenon_H50b.
% 83.65/83.86 rewrite <- zenon_D_pnotp.
% 83.65/83.86 exact zenon_Hbd.
% 83.65/83.86 cut (((op2 (e23) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hbe].
% 83.65/83.86 cut (((op2 (e23) (e20)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H50c].
% 83.65/83.86 congruence.
% 83.65/83.86 exact (zenon_H50c zenon_H508).
% 83.65/83.86 apply zenon_Hbe. apply refl_equal.
% 83.65/83.86 apply zenon_Hbe. apply refl_equal.
% 83.65/83.86 apply zenon_H84. apply refl_equal.
% 83.65/83.86 apply zenon_Hbe. apply refl_equal.
% 83.65/83.86 apply zenon_Hbe. apply refl_equal.
% 83.65/83.86 (* end of lemma zenon_L597_ *)
% 83.65/83.86 assert (zenon_L598_ : (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e22)) = (e22)) -> ((op2 (e23) (e22)) = (e22)) -> False).
% 83.65/83.86 do 0 intro. intros zenon_H11f zenon_Hf8 zenon_H50d.
% 83.65/83.86 cut (((op2 (e21) (e22)) = (e22)) = ((op2 (e21) (e22)) = (op2 (e23) (e22)))).
% 83.65/83.86 intro zenon_D_pnotp.
% 83.65/83.86 apply zenon_H11f.
% 83.65/83.86 rewrite <- zenon_D_pnotp.
% 83.65/83.86 exact zenon_Hf8.
% 83.65/83.86 cut (((e22) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H50e].
% 83.65/83.86 cut (((op2 (e21) (e22)) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hfb].
% 83.65/83.86 congruence.
% 83.65/83.86 apply zenon_Hfb. apply refl_equal.
% 83.65/83.86 apply zenon_H50e. apply sym_equal. exact zenon_H50d.
% 83.65/83.86 (* end of lemma zenon_L598_ *)
% 83.65/83.86 assert (zenon_L599_ : (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> ((op2 (e23) (e22)) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((op2 (e23) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (e20)) = (e23)) -> False).
% 83.65/83.86 do 0 intro. intros zenon_H12c zenon_H121 zenon_H124 zenon_H78 zenon_H7a zenon_H50d zenon_H11f zenon_H129 zenon_Hd5.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H120 | zenon_intro zenon_H12d ].
% 83.65/83.86 apply (zenon_L70_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H123 | zenon_intro zenon_H12e ].
% 83.65/83.86 apply (zenon_L71_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H12a ].
% 83.65/83.86 apply (zenon_L598_); trivial.
% 83.65/83.86 apply (zenon_L72_); trivial.
% 83.65/83.86 (* end of lemma zenon_L599_ *)
% 83.65/83.86 assert (zenon_L600_ : (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e21)) = (e20)) -> ((op2 (e23) (e22)) = (e20)) -> False).
% 83.65/83.86 do 0 intro. intros zenon_H50f zenon_H11e zenon_H121.
% 83.65/83.86 cut (((op2 (e23) (e21)) = (e20)) = ((op2 (e23) (e21)) = (op2 (e23) (e22)))).
% 83.65/83.86 intro zenon_D_pnotp.
% 83.65/83.86 apply zenon_H50f.
% 83.65/83.86 rewrite <- zenon_D_pnotp.
% 83.65/83.86 exact zenon_H11e.
% 83.65/83.86 cut (((e20) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H122].
% 83.65/83.86 cut (((op2 (e23) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H49e].
% 83.65/83.86 congruence.
% 83.65/83.86 apply zenon_H49e. apply refl_equal.
% 83.65/83.86 apply zenon_H122. apply sym_equal. exact zenon_H121.
% 83.65/83.86 (* end of lemma zenon_L600_ *)
% 83.65/83.86 assert (zenon_L601_ : ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((op2 (e23) (e21)) = (e23)) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> False).
% 83.65/83.86 do 0 intro. intros zenon_H5d zenon_H510 zenon_H7a zenon_H511.
% 83.65/83.86 elim (classic ((op2 (e23) (e21)) = (op2 (e23) (e21)))); [ zenon_intro zenon_H49d | zenon_intro zenon_H49e ].
% 83.65/83.86 cut (((op2 (e23) (e21)) = (op2 (e23) (e21))) = ((op2 (e20) (e21)) = (op2 (e23) (e21)))).
% 83.65/83.86 intro zenon_D_pnotp.
% 83.65/83.86 apply zenon_H511.
% 83.65/83.86 rewrite <- zenon_D_pnotp.
% 83.65/83.86 exact zenon_H49d.
% 83.65/83.86 cut (((op2 (e23) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H49e].
% 83.65/83.86 cut (((op2 (e23) (e21)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H512].
% 83.65/83.86 congruence.
% 83.65/83.86 cut (((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) = ((op2 (e23) (e21)) = (op2 (e20) (e21)))).
% 83.65/83.86 intro zenon_D_pnotp.
% 83.65/83.86 apply zenon_H512.
% 83.65/83.86 rewrite <- zenon_D_pnotp.
% 83.65/83.86 exact zenon_H5d.
% 83.65/83.86 cut (((op2 (e20) (op2 (e20) (op2 (e20) (e20)))) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H87].
% 83.65/83.86 cut (((e23) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H513].
% 83.65/83.86 congruence.
% 83.65/83.86 elim (classic ((op2 (e23) (e21)) = (op2 (e23) (e21)))); [ zenon_intro zenon_H49d | zenon_intro zenon_H49e ].
% 83.65/83.86 cut (((op2 (e23) (e21)) = (op2 (e23) (e21))) = ((e23) = (op2 (e23) (e21)))).
% 83.65/83.86 intro zenon_D_pnotp.
% 83.65/83.86 apply zenon_H513.
% 83.65/83.86 rewrite <- zenon_D_pnotp.
% 83.65/83.86 exact zenon_H49d.
% 83.65/83.86 cut (((op2 (e23) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H49e].
% 83.65/83.86 cut (((op2 (e23) (e21)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H514].
% 83.65/83.86 congruence.
% 83.65/83.86 exact (zenon_H514 zenon_H510).
% 83.65/83.86 apply zenon_H49e. apply refl_equal.
% 83.65/83.86 apply zenon_H49e. apply refl_equal.
% 83.65/83.86 apply (zenon_L30_); trivial.
% 83.65/83.86 apply zenon_H49e. apply refl_equal.
% 83.65/83.86 apply zenon_H49e. apply refl_equal.
% 83.65/83.86 (* end of lemma zenon_L601_ *)
% 83.65/83.86 assert (zenon_L602_ : (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> ((op2 (e23) (e22)) = (e20)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e23)) = (e22)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> False).
% 83.65/83.86 do 0 intro. intros zenon_H515 zenon_H121 zenon_H50f zenon_H10c zenon_H13e zenon_H4fc zenon_H4fb zenon_H5d zenon_H7a zenon_H511.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H515); [ zenon_intro zenon_H11e | zenon_intro zenon_H516 ].
% 83.65/83.86 apply (zenon_L600_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H516); [ zenon_intro zenon_H10e | zenon_intro zenon_H517 ].
% 83.65/83.86 apply (zenon_L517_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H517); [ zenon_intro zenon_H10f | zenon_intro zenon_H510 ].
% 83.65/83.86 apply (zenon_L593_); trivial.
% 83.65/83.86 apply (zenon_L601_); trivial.
% 83.65/83.86 (* end of lemma zenon_L602_ *)
% 83.65/83.86 assert (zenon_L603_ : (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e23)) = (e20)) -> (~((op2 (e20) (op2 (e23) (e23))) = (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e21) (e20)) = (e23)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> ((op2 (e23) (e22)) = (e20)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> False).
% 83.65/83.86 do 0 intro. intros zenon_H518 zenon_H509 zenon_H63 zenon_H501 zenon_H118 zenon_Hba zenon_Hb8 zenon_H94 zenon_H505 zenon_Hd5 zenon_H129 zenon_H11f zenon_H78 zenon_H124 zenon_H12c zenon_H515 zenon_H121 zenon_H50f zenon_H10c zenon_H13e zenon_H4fb zenon_H5d zenon_H7a zenon_H511.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H518); [ zenon_intro zenon_H508 | zenon_intro zenon_H519 ].
% 83.65/83.86 apply (zenon_L597_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H519); [ zenon_intro zenon_H10f | zenon_intro zenon_H51a ].
% 83.65/83.86 apply (zenon_L596_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H51a); [ zenon_intro zenon_H50d | zenon_intro zenon_H4fc ].
% 83.65/83.86 apply (zenon_L599_); trivial.
% 83.65/83.86 apply (zenon_L602_); trivial.
% 83.65/83.86 (* end of lemma zenon_L603_ *)
% 83.65/83.86 assert (zenon_L604_ : (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e20)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e22)) = (e20)) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (e20)) = (e23)) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e20) (e21)) = (e23)) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (op2 (e23) (e23))) = (e20))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.65/83.86 do 0 intro. intros zenon_Hce zenon_H511 zenon_H4fb zenon_H13e zenon_H10c zenon_H50f zenon_H121 zenon_H515 zenon_H12c zenon_H124 zenon_H11f zenon_H129 zenon_Hd5 zenon_H505 zenon_Hb8 zenon_Hba zenon_H118 zenon_H501 zenon_H509 zenon_H518 zenon_H73 zenon_H91 zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H63 | zenon_intro zenon_Hcf ].
% 83.65/83.86 apply (zenon_L603_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H74 | zenon_intro zenon_Hd0 ].
% 83.65/83.86 apply (zenon_L32_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H92 | zenon_intro zenon_H95 ].
% 83.65/83.86 apply (zenon_L34_); trivial.
% 83.65/83.86 apply (zenon_L36_); trivial.
% 83.65/83.86 (* end of lemma zenon_L604_ *)
% 83.65/83.86 assert (zenon_L605_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (op2 (e23) (e23))) = (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> ((op2 (e20) (e21)) = (e23)) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e21) (e20)) = (e23)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.65/83.86 do 0 intro. intros zenon_H134 zenon_Hc3 zenon_H11b zenon_Had zenon_H112 zenon_Hb2 zenon_Hc9 zenon_H14b zenon_H91 zenon_H73 zenon_H518 zenon_H509 zenon_H501 zenon_H118 zenon_Hba zenon_Hb8 zenon_H505 zenon_Hd5 zenon_H129 zenon_H11f zenon_H124 zenon_H12c zenon_H515 zenon_H50f zenon_H10c zenon_H13e zenon_H4fb zenon_H511 zenon_Hce zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H10b | zenon_intro zenon_H137 ].
% 83.65/83.86 apply (zenon_L143_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H11e | zenon_intro zenon_H138 ].
% 83.65/83.86 apply (zenon_L81_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H121 | zenon_intro zenon_H95 ].
% 83.65/83.86 apply (zenon_L604_); trivial.
% 83.65/83.86 apply (zenon_L36_); trivial.
% 83.65/83.86 (* end of lemma zenon_L605_ *)
% 83.65/83.86 assert (zenon_L606_ : ((op2 (e21) (e23)) = (e21)) -> ((op2 (e21) (e23)) = (e23)) -> (~((e21) = (e23))) -> False).
% 83.65/83.86 do 0 intro. intros zenon_H13c zenon_H47e zenon_Hd6.
% 83.65/83.86 elim (classic ((e23) = (e23))); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hd8 ].
% 83.65/83.86 cut (((e23) = (e23)) = ((e21) = (e23))).
% 83.65/83.86 intro zenon_D_pnotp.
% 83.65/83.86 apply zenon_Hd6.
% 83.65/83.86 rewrite <- zenon_D_pnotp.
% 83.65/83.86 exact zenon_Hd7.
% 83.65/83.86 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_Hd8].
% 83.65/83.86 cut (((e23) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Hd9].
% 83.65/83.86 congruence.
% 83.65/83.86 cut (((op2 (e21) (e23)) = (e21)) = ((e23) = (e21))).
% 83.65/83.86 intro zenon_D_pnotp.
% 83.65/83.86 apply zenon_Hd9.
% 83.65/83.86 rewrite <- zenon_D_pnotp.
% 83.65/83.86 exact zenon_H13c.
% 83.65/83.86 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Haf].
% 83.65/83.86 cut (((op2 (e21) (e23)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H481].
% 83.65/83.86 congruence.
% 83.65/83.86 exact (zenon_H481 zenon_H47e).
% 83.65/83.86 apply zenon_Haf. apply refl_equal.
% 83.65/83.86 apply zenon_Hd8. apply refl_equal.
% 83.65/83.86 apply zenon_Hd8. apply refl_equal.
% 83.65/83.86 (* end of lemma zenon_L606_ *)
% 83.65/83.86 assert (zenon_L607_ : (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e20)) = (e23)) -> ((op2 (e22) (e23)) = (e23)) -> False).
% 83.65/83.86 do 0 intro. intros zenon_H51b zenon_H152 zenon_H51c.
% 83.65/83.86 cut (((op2 (e22) (e20)) = (e23)) = ((op2 (e22) (e20)) = (op2 (e22) (e23)))).
% 83.65/83.86 intro zenon_D_pnotp.
% 83.65/83.86 apply zenon_H51b.
% 83.65/83.86 rewrite <- zenon_D_pnotp.
% 83.65/83.86 exact zenon_H152.
% 83.65/83.86 cut (((e23) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H51d].
% 83.65/83.86 cut (((op2 (e22) (e20)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hf1].
% 83.65/83.86 congruence.
% 83.65/83.86 apply zenon_Hf1. apply refl_equal.
% 83.65/83.86 apply zenon_H51d. apply sym_equal. exact zenon_H51c.
% 83.65/83.86 (* end of lemma zenon_L607_ *)
% 83.65/83.86 assert (zenon_L608_ : (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((e21) = (e23))) -> ((op2 (e21) (e23)) = (e21)) -> ((op2 (e22) (e20)) = (e23)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (op2 (e23) (e23))) = (e20))) -> ((op2 (e20) (e23)) = (e20)) -> False).
% 83.65/83.86 do 0 intro. intros zenon_H51e zenon_H8a zenon_H7a zenon_H5d zenon_Hd6 zenon_H13c zenon_H152 zenon_H51b zenon_H501 zenon_H63.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H51e); [ zenon_intro zenon_H89 | zenon_intro zenon_H51f ].
% 83.65/83.86 apply (zenon_L31_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H51f); [ zenon_intro zenon_H47e | zenon_intro zenon_H520 ].
% 83.65/83.86 apply (zenon_L606_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H520); [ zenon_intro zenon_H51c | zenon_intro zenon_H4ff ].
% 83.65/83.86 apply (zenon_L607_); trivial.
% 83.65/83.86 apply (zenon_L595_); trivial.
% 83.65/83.86 (* end of lemma zenon_L608_ *)
% 83.65/83.86 assert (zenon_L609_ : (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (op2 (e23) (e23))) = (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e20)) = (e23)) -> ((op2 (e21) (e23)) = (e21)) -> (~((e21) = (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.65/83.86 do 0 intro. intros zenon_Hce zenon_H501 zenon_H51b zenon_H152 zenon_H13c zenon_Hd6 zenon_H51e zenon_H73 zenon_H91 zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H63 | zenon_intro zenon_Hcf ].
% 83.65/83.86 apply (zenon_L608_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H74 | zenon_intro zenon_Hd0 ].
% 83.65/83.86 apply (zenon_L32_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H92 | zenon_intro zenon_H95 ].
% 83.65/83.86 apply (zenon_L34_); trivial.
% 83.65/83.86 apply (zenon_L36_); trivial.
% 83.65/83.86 (* end of lemma zenon_L609_ *)
% 83.65/83.86 assert (zenon_L610_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((op2 (e21) (e20)) = (e20)) -> (~((e20) = (e21))) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (op2 (e23) (e23))) = (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e20)) = (e23)) -> (~((e21) = (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.65/83.86 do 0 intro. intros zenon_H140 zenon_Hab zenon_Had zenon_Hd2 zenon_H124 zenon_Hce zenon_H501 zenon_H51b zenon_H152 zenon_Hd6 zenon_H51e zenon_H73 zenon_H91 zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ].
% 83.65/83.86 apply (zenon_L42_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ].
% 83.65/83.86 apply (zenon_L536_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ].
% 83.65/83.86 apply (zenon_L71_); trivial.
% 83.65/83.86 apply (zenon_L609_); trivial.
% 83.65/83.86 (* end of lemma zenon_L610_ *)
% 83.65/83.86 assert (zenon_L611_ : (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((e22) = (e23))) -> ((op2 (e21) (e23)) = (e22)) -> ((op2 (e22) (e20)) = (e23)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (op2 (e23) (e23))) = (e20))) -> ((op2 (e20) (e23)) = (e20)) -> False).
% 83.65/83.86 do 0 intro. intros zenon_H51e zenon_H8a zenon_H7a zenon_H5d zenon_H47f zenon_H130 zenon_H152 zenon_H51b zenon_H501 zenon_H63.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H51e); [ zenon_intro zenon_H89 | zenon_intro zenon_H51f ].
% 83.65/83.86 apply (zenon_L31_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H51f); [ zenon_intro zenon_H47e | zenon_intro zenon_H520 ].
% 83.65/83.86 apply (zenon_L532_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H520); [ zenon_intro zenon_H51c | zenon_intro zenon_H4ff ].
% 83.65/83.86 apply (zenon_L607_); trivial.
% 83.65/83.86 apply (zenon_L595_); trivial.
% 83.65/83.86 (* end of lemma zenon_L611_ *)
% 83.65/83.86 assert (zenon_L612_ : (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (op2 (e23) (e23))) = (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e20)) = (e23)) -> ((op2 (e21) (e23)) = (e22)) -> (~((e22) = (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.65/83.86 do 0 intro. intros zenon_Hce zenon_H501 zenon_H51b zenon_H152 zenon_H130 zenon_H47f zenon_H51e zenon_H73 zenon_H91 zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H63 | zenon_intro zenon_Hcf ].
% 83.65/83.86 apply (zenon_L611_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H74 | zenon_intro zenon_Hd0 ].
% 83.65/83.86 apply (zenon_L32_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H92 | zenon_intro zenon_H95 ].
% 83.65/83.86 apply (zenon_L34_); trivial.
% 83.65/83.86 apply (zenon_L36_); trivial.
% 83.65/83.86 (* end of lemma zenon_L612_ *)
% 83.65/83.86 assert (zenon_L613_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((op2 (e21) (e20)) = (e20)) -> (~((e22) = (e23))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e20) = (e22))) -> ((op2 (e22) (e21)) = (e20)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (op2 (e23) (e23))) = (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e20)) = (e23)) -> (~((e21) = (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.65/83.86 do 0 intro. intros zenon_H140 zenon_Hab zenon_H47f zenon_H102 zenon_Had zenon_He8 zenon_Hff zenon_Hef zenon_Ha3 zenon_He4 zenon_Hf7 zenon_Ha8 zenon_Hdc zenon_H142 zenon_H124 zenon_Hce zenon_H501 zenon_H51b zenon_H152 zenon_Hd6 zenon_H51e zenon_H73 zenon_H91 zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ].
% 83.65/83.86 apply (zenon_L42_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ].
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 83.65/83.86 apply (zenon_L53_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_He2 | zenon_intro zenon_H146 ].
% 83.65/83.86 apply (zenon_L54_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H130 ].
% 83.65/83.86 apply (zenon_L516_); trivial.
% 83.65/83.86 apply (zenon_L612_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ].
% 83.65/83.86 apply (zenon_L71_); trivial.
% 83.65/83.86 apply (zenon_L609_); trivial.
% 83.65/83.86 (* end of lemma zenon_L613_ *)
% 83.65/83.86 assert (zenon_L614_ : (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e21) = (e23))) -> ((op2 (e22) (e20)) = (e23)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (op2 (e23) (e23))) = (e20))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((e20) = (e21))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((e22) = (e23))) -> ((op2 (e21) (e20)) = (e20)) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> ((op2 (e20) (e21)) = (e23)) -> False).
% 83.65/83.86 do 0 intro. intros zenon_H14f zenon_H8a zenon_H7a zenon_H5d zenon_H78 zenon_H82 zenon_H7c zenon_H94 zenon_H8e zenon_H91 zenon_H73 zenon_H51e zenon_Hd6 zenon_H152 zenon_H51b zenon_H501 zenon_Hce zenon_H124 zenon_H142 zenon_Hdc zenon_Ha8 zenon_Hf7 zenon_Ha3 zenon_Hef zenon_Hff zenon_He8 zenon_Had zenon_H102 zenon_H47f zenon_Hab zenon_H140 zenon_H14b zenon_Hb8.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ].
% 83.65/83.86 apply (zenon_L49_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ].
% 83.65/83.86 apply (zenon_L610_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ].
% 83.65/83.86 apply (zenon_L613_); trivial.
% 83.65/83.86 apply (zenon_L81_); trivial.
% 83.65/83.86 (* end of lemma zenon_L614_ *)
% 83.65/83.86 assert (zenon_L615_ : (((op2 (e23) (e23)) = (op2 (e23) (e23)))/\((~((op2 (e20) (op2 (e23) (e23))) = (e20)))/\((~((op2 (e21) (op2 (e23) (e23))) = (e21)))/\((~((op2 (e22) (op2 (e23) (e23))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23))))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e22) = (e23))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e20) = (e22))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e20) = (e23))) -> (~((e21) = (e23))) -> (~((e21) = (e22))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((e20) = (e21))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.65/83.86 do 0 intro. intros zenon_H521 zenon_H48d zenon_H140 zenon_H47f zenon_H102 zenon_He8 zenon_Hff zenon_Hef zenon_Ha3 zenon_Hf7 zenon_Hdc zenon_H142 zenon_H51b zenon_H51e zenon_H14f zenon_H141 zenon_H133 zenon_H48b zenon_H15c zenon_H82 zenon_H7c zenon_H94 zenon_H8e zenon_Hce zenon_H511 zenon_H4fb zenon_H50f zenon_H515 zenon_H12c zenon_H124 zenon_H11f zenon_H129 zenon_H505 zenon_H509 zenon_H518 zenon_H73 zenon_H91 zenon_H14b zenon_H134 zenon_H21e zenon_Hd6 zenon_Ha8 zenon_H15b zenon_Hc9 zenon_Hb2 zenon_Hba zenon_H118 zenon_H78 zenon_H112 zenon_H13e zenon_Had zenon_H11b zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a.
% 83.65/83.86 apply (zenon_and_s _ _ zenon_H521). zenon_intro zenon_H523. zenon_intro zenon_H522.
% 83.65/83.86 apply (zenon_and_s _ _ zenon_H522). zenon_intro zenon_H501. zenon_intro zenon_H524.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.65/83.86 apply (zenon_L40_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.65/83.86 apply (zenon_L41_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.65/83.86 apply (zenon_L42_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.65/83.86 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ].
% 83.65/83.86 apply (zenon_L43_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ].
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ].
% 83.65/83.86 apply (zenon_L49_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ].
% 83.65/83.86 apply (zenon_L592_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ].
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H139 | zenon_intro zenon_H147 ].
% 83.65/83.86 apply (zenon_L76_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_He1 | zenon_intro zenon_H148 ].
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H105 | zenon_intro zenon_H135 ].
% 83.65/83.86 apply (zenon_L63_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_He2 | zenon_intro zenon_H136 ].
% 83.65/83.86 apply (zenon_L54_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H10f ].
% 83.65/83.86 apply (zenon_L58_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H63 | zenon_intro zenon_Hcf ].
% 83.65/83.86 apply (zenon_L596_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H74 | zenon_intro zenon_Hd0 ].
% 83.65/83.86 apply (zenon_L32_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H92 | zenon_intro zenon_H95 ].
% 83.65/83.86 apply (zenon_L34_); trivial.
% 83.65/83.86 apply (zenon_L36_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_He5 | zenon_intro zenon_H10e ].
% 83.65/83.86 apply (zenon_L55_); trivial.
% 83.65/83.86 apply (zenon_L78_); trivial.
% 83.65/83.86 apply (zenon_L81_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ].
% 83.65/83.86 apply (zenon_L46_); trivial.
% 83.65/83.86 apply (zenon_L31_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ].
% 83.65/83.86 apply (zenon_L43_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ].
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ].
% 83.65/83.86 apply (zenon_L43_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ].
% 83.65/83.86 apply (zenon_L605_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ].
% 83.65/83.86 apply (zenon_L614_); trivial.
% 83.65/83.86 apply (zenon_L140_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ].
% 83.65/83.86 apply (zenon_L46_); trivial.
% 83.65/83.86 apply (zenon_L31_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.65/83.86 apply (zenon_L41_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.65/83.86 apply (zenon_L151_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.65/83.86 apply (zenon_L152_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ].
% 83.65/83.86 apply (zenon_L43_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ].
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ].
% 83.65/83.86 apply (zenon_L43_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ].
% 83.65/83.86 apply (zenon_L605_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ].
% 83.65/83.86 apply (zenon_L139_); trivial.
% 83.65/83.86 apply (zenon_L88_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ].
% 83.65/83.86 apply (zenon_L46_); trivial.
% 83.65/83.86 apply (zenon_L31_); trivial.
% 83.65/83.86 apply (zenon_L143_); trivial.
% 83.65/83.86 (* end of lemma zenon_L615_ *)
% 83.65/83.86 assert (zenon_L616_ : (~((op2 (e21) (e20)) = (op2 (op2 (e20) (e22)) (e20)))) -> ((op2 (e20) (e22)) = (e21)) -> False).
% 83.65/83.86 do 0 intro. intros zenon_H525 zenon_H45a.
% 83.65/83.86 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H60].
% 83.65/83.86 cut (((e21) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H526].
% 83.65/83.86 congruence.
% 83.65/83.86 apply zenon_H526. apply sym_equal. exact zenon_H45a.
% 83.65/83.86 apply zenon_H60. apply refl_equal.
% 83.65/83.86 (* end of lemma zenon_L616_ *)
% 83.65/83.86 assert (zenon_L617_ : (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (op2 (e20) (e22)) (e20)) = (e22)) -> ((op2 (e20) (e22)) = (e21)) -> ((op2 (e21) (e22)) = (e22)) -> False).
% 83.65/83.86 do 0 intro. intros zenon_H129 zenon_H527 zenon_H45a zenon_Hf8.
% 83.65/83.86 cut (((op2 (op2 (e20) (e22)) (e20)) = (e22)) = ((op2 (e21) (e20)) = (op2 (e21) (e22)))).
% 83.65/83.86 intro zenon_D_pnotp.
% 83.65/83.86 apply zenon_H129.
% 83.65/83.86 rewrite <- zenon_D_pnotp.
% 83.65/83.86 exact zenon_H527.
% 83.65/83.86 cut (((e22) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H489].
% 83.65/83.86 cut (((op2 (op2 (e20) (e22)) (e20)) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H528].
% 83.65/83.86 congruence.
% 83.65/83.86 elim (classic ((op2 (e21) (e20)) = (op2 (e21) (e20)))); [ zenon_intro zenon_Hdd | zenon_intro zenon_Hd4 ].
% 83.65/83.86 cut (((op2 (e21) (e20)) = (op2 (e21) (e20))) = ((op2 (op2 (e20) (e22)) (e20)) = (op2 (e21) (e20)))).
% 83.65/83.86 intro zenon_D_pnotp.
% 83.65/83.86 apply zenon_H528.
% 83.65/83.86 rewrite <- zenon_D_pnotp.
% 83.65/83.86 exact zenon_Hdd.
% 83.65/83.86 cut (((op2 (e21) (e20)) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hd4].
% 83.65/83.86 cut (((op2 (e21) (e20)) = (op2 (op2 (e20) (e22)) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H525].
% 83.65/83.86 congruence.
% 83.65/83.86 apply (zenon_L616_); trivial.
% 83.65/83.86 apply zenon_Hd4. apply refl_equal.
% 83.65/83.86 apply zenon_Hd4. apply refl_equal.
% 83.65/83.86 apply zenon_H489. apply sym_equal. exact zenon_Hf8.
% 83.65/83.86 (* end of lemma zenon_L617_ *)
% 83.65/83.86 assert (zenon_L618_ : (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> ((op2 (op2 (e20) (e22)) (e20)) = (e22)) -> ((op2 (e20) (e22)) = (e21)) -> ((op2 (e21) (e23)) = (e22)) -> False).
% 83.65/83.86 do 0 intro. intros zenon_H529 zenon_H527 zenon_H45a zenon_H130.
% 83.65/83.86 cut (((op2 (op2 (e20) (e22)) (e20)) = (e22)) = ((op2 (e21) (e20)) = (op2 (e21) (e23)))).
% 83.65/83.86 intro zenon_D_pnotp.
% 83.65/83.86 apply zenon_H529.
% 83.65/83.86 rewrite <- zenon_D_pnotp.
% 83.65/83.86 exact zenon_H527.
% 83.65/83.86 cut (((e22) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H52a].
% 83.65/83.86 cut (((op2 (op2 (e20) (e22)) (e20)) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H528].
% 83.65/83.86 congruence.
% 83.65/83.86 elim (classic ((op2 (e21) (e20)) = (op2 (e21) (e20)))); [ zenon_intro zenon_Hdd | zenon_intro zenon_Hd4 ].
% 83.65/83.86 cut (((op2 (e21) (e20)) = (op2 (e21) (e20))) = ((op2 (op2 (e20) (e22)) (e20)) = (op2 (e21) (e20)))).
% 83.65/83.86 intro zenon_D_pnotp.
% 83.65/83.86 apply zenon_H528.
% 83.65/83.86 rewrite <- zenon_D_pnotp.
% 83.65/83.86 exact zenon_Hdd.
% 83.65/83.86 cut (((op2 (e21) (e20)) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hd4].
% 83.65/83.86 cut (((op2 (e21) (e20)) = (op2 (op2 (e20) (e22)) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H525].
% 83.65/83.86 congruence.
% 83.65/83.86 apply (zenon_L616_); trivial.
% 83.65/83.86 apply zenon_Hd4. apply refl_equal.
% 83.65/83.86 apply zenon_Hd4. apply refl_equal.
% 83.65/83.86 apply zenon_H52a. apply sym_equal. exact zenon_H130.
% 83.65/83.86 (* end of lemma zenon_L618_ *)
% 83.65/83.86 assert (zenon_L619_ : (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> (~((e21) = (e22))) -> ((op2 (e21) (e21)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> ((op2 (op2 (e20) (e22)) (e20)) = (e22)) -> ((op2 (e20) (e22)) = (e21)) -> False).
% 83.65/83.86 do 0 intro. intros zenon_H142 zenon_Hdc zenon_H78 zenon_Ha8 zenon_He1 zenon_H129 zenon_H529 zenon_H527 zenon_H45a.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 83.65/83.86 apply (zenon_L53_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_He2 | zenon_intro zenon_H146 ].
% 83.65/83.86 apply (zenon_L54_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H130 ].
% 83.65/83.86 apply (zenon_L617_); trivial.
% 83.65/83.86 apply (zenon_L618_); trivial.
% 83.65/83.86 (* end of lemma zenon_L619_ *)
% 83.65/83.86 assert (zenon_L620_ : (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (op2 (e20) (e22)) (e20)) = (e22)) -> ((op2 (e20) (e22)) = (e21)) -> ((op2 (e21) (e21)) = (e22)) -> False).
% 83.65/83.86 do 0 intro. intros zenon_Hd1 zenon_H527 zenon_H45a zenon_He2.
% 83.65/83.86 cut (((op2 (op2 (e20) (e22)) (e20)) = (e22)) = ((op2 (e21) (e20)) = (op2 (e21) (e21)))).
% 83.65/83.86 intro zenon_D_pnotp.
% 83.65/83.86 apply zenon_Hd1.
% 83.65/83.86 rewrite <- zenon_D_pnotp.
% 83.65/83.86 exact zenon_H527.
% 83.65/83.86 cut (((e22) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H52b].
% 83.65/83.86 cut (((op2 (op2 (e20) (e22)) (e20)) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H528].
% 83.65/83.86 congruence.
% 83.65/83.86 elim (classic ((op2 (e21) (e20)) = (op2 (e21) (e20)))); [ zenon_intro zenon_Hdd | zenon_intro zenon_Hd4 ].
% 83.65/83.86 cut (((op2 (e21) (e20)) = (op2 (e21) (e20))) = ((op2 (op2 (e20) (e22)) (e20)) = (op2 (e21) (e20)))).
% 83.65/83.86 intro zenon_D_pnotp.
% 83.65/83.86 apply zenon_H528.
% 83.65/83.86 rewrite <- zenon_D_pnotp.
% 83.65/83.86 exact zenon_Hdd.
% 83.65/83.86 cut (((op2 (e21) (e20)) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hd4].
% 83.65/83.86 cut (((op2 (e21) (e20)) = (op2 (op2 (e20) (e22)) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H525].
% 83.65/83.86 congruence.
% 83.65/83.86 apply (zenon_L616_); trivial.
% 83.65/83.86 apply zenon_Hd4. apply refl_equal.
% 83.65/83.86 apply zenon_Hd4. apply refl_equal.
% 83.65/83.86 apply zenon_H52b. apply sym_equal. exact zenon_He2.
% 83.65/83.86 (* end of lemma zenon_L620_ *)
% 83.65/83.86 assert (zenon_L621_ : (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e20) (e22)) = (e21)) -> ((op2 (op2 (e20) (e22)) (e20)) = (e22)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (e23)) = (e21)) -> (~((e21) = (e22))) -> False).
% 83.65/83.86 do 0 intro. intros zenon_H142 zenon_Hdc zenon_H78 zenon_Hd1 zenon_H45a zenon_H527 zenon_H129 zenon_H13c zenon_Ha8.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 83.65/83.86 apply (zenon_L53_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_He2 | zenon_intro zenon_H146 ].
% 83.65/83.86 apply (zenon_L620_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H130 ].
% 83.65/83.86 apply (zenon_L617_); trivial.
% 83.65/83.86 apply (zenon_L77_); trivial.
% 83.65/83.86 (* end of lemma zenon_L621_ *)
% 83.65/83.86 assert (zenon_L622_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e20) = (e21))) -> ((op2 (e21) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e20) (e22)) = (e21)) -> ((op2 (op2 (e20) (e22)) (e20)) = (e22)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((e21) = (e22))) -> False).
% 83.65/83.86 do 0 intro. intros zenon_H140 zenon_Had zenon_Hab zenon_H529 zenon_H124 zenon_H7a zenon_H142 zenon_Hdc zenon_H78 zenon_Hd1 zenon_H45a zenon_H527 zenon_H129 zenon_Ha8.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ].
% 83.65/83.86 apply (zenon_L42_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ].
% 83.65/83.86 apply (zenon_L619_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ].
% 83.65/83.86 apply (zenon_L71_); trivial.
% 83.65/83.86 apply (zenon_L621_); trivial.
% 83.65/83.86 (* end of lemma zenon_L622_ *)
% 83.65/83.86 assert (zenon_L623_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (op2 (e20) (e22)) (e20)) = (e22)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> ((op2 (e21) (e20)) = (e20)) -> (~((e20) = (e21))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> False).
% 83.65/83.86 do 0 intro. intros zenon_H45f zenon_Hc3 zenon_Ha8 zenon_H129 zenon_H527 zenon_Hd1 zenon_Hdc zenon_H142 zenon_H124 zenon_H529 zenon_Hab zenon_Had zenon_H140 zenon_H7a zenon_H78 zenon_H7c.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H45f); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H460 ].
% 83.65/83.86 apply (zenon_L41_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H460); [ zenon_intro zenon_H139 | zenon_intro zenon_H461 ].
% 83.65/83.86 apply (zenon_L76_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H461); [ zenon_intro zenon_H45a | zenon_intro zenon_H7b ].
% 83.65/83.86 apply (zenon_L622_); trivial.
% 83.65/83.86 apply (zenon_L28_); trivial.
% 83.65/83.86 (* end of lemma zenon_L623_ *)
% 83.65/83.86 assert (zenon_L624_ : (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> (~((e20) = (e22))) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> ((op2 (op2 (e20) (e22)) (e20)) = (e22)) -> ((op2 (e20) (e22)) = (e21)) -> False).
% 83.65/83.86 do 0 intro. intros zenon_H142 zenon_Hdc zenon_H78 zenon_Ha3 zenon_Hd2 zenon_H129 zenon_H529 zenon_H527 zenon_H45a.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 83.65/83.86 apply (zenon_L53_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_He2 | zenon_intro zenon_H146 ].
% 83.65/83.86 apply (zenon_L537_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H130 ].
% 83.65/83.86 apply (zenon_L617_); trivial.
% 83.65/83.86 apply (zenon_L618_); trivial.
% 83.65/83.86 (* end of lemma zenon_L624_ *)
% 83.65/83.86 assert (zenon_L625_ : ((op2 (e21) (e22)) = (e20)) -> ((op2 (e21) (e22)) = (e23)) -> (~((e20) = (e23))) -> False).
% 83.65/83.86 do 0 intro. intros zenon_H120 zenon_H12a zenon_H21e.
% 83.65/83.86 elim (classic ((e23) = (e23))); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hd8 ].
% 83.65/83.86 cut (((e23) = (e23)) = ((e20) = (e23))).
% 83.65/83.86 intro zenon_D_pnotp.
% 83.65/83.86 apply zenon_H21e.
% 83.65/83.86 rewrite <- zenon_D_pnotp.
% 83.65/83.86 exact zenon_Hd7.
% 83.65/83.86 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_Hd8].
% 83.65/83.86 cut (((e23) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H21f].
% 83.65/83.86 congruence.
% 83.65/83.86 cut (((op2 (e21) (e22)) = (e20)) = ((e23) = (e20))).
% 83.65/83.86 intro zenon_D_pnotp.
% 83.65/83.86 apply zenon_H21f.
% 83.65/83.86 rewrite <- zenon_D_pnotp.
% 83.65/83.86 exact zenon_H120.
% 83.65/83.86 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H60].
% 83.65/83.86 cut (((op2 (e21) (e22)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H479].
% 83.65/83.86 congruence.
% 83.65/83.86 exact (zenon_H479 zenon_H12a).
% 83.65/83.86 apply zenon_H60. apply refl_equal.
% 83.65/83.86 apply zenon_Hd8. apply refl_equal.
% 83.65/83.86 apply zenon_Hd8. apply refl_equal.
% 83.65/83.86 (* end of lemma zenon_L625_ *)
% 83.65/83.86 assert (zenon_L626_ : (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((e21) = (e23))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((e20) = (e23))) -> ((op2 (e21) (e22)) = (e20)) -> ((op2 (e21) (e23)) = (e22)) -> (~((e22) = (e23))) -> False).
% 83.65/83.86 do 0 intro. intros zenon_H482 zenon_Hd6 zenon_Hac zenon_H472 zenon_H7a zenon_H5d zenon_H21e zenon_H120 zenon_H130 zenon_H47f.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H482); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H483 ].
% 83.65/83.86 apply (zenon_L52_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H483); [ zenon_intro zenon_H471 | zenon_intro zenon_H484 ].
% 83.65/83.86 apply (zenon_L529_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H484); [ zenon_intro zenon_H12a | zenon_intro zenon_H47e ].
% 83.65/83.86 apply (zenon_L625_); trivial.
% 83.65/83.86 apply (zenon_L532_); trivial.
% 83.65/83.86 (* end of lemma zenon_L626_ *)
% 83.65/83.86 assert (zenon_L627_ : (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> ((op2 (e20) (e22)) = (e21)) -> ((op2 (op2 (e20) (e22)) (e20)) = (e22)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((e20) = (e22))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((e21) = (e23))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((e20) = (e23))) -> ((op2 (e21) (e22)) = (e20)) -> (~((e22) = (e23))) -> False).
% 83.65/83.86 do 0 intro. intros zenon_H142 zenon_Hdc zenon_H78 zenon_H45a zenon_H527 zenon_Hd1 zenon_Ha3 zenon_H482 zenon_Hd6 zenon_Hac zenon_H472 zenon_H7a zenon_H5d zenon_H21e zenon_H120 zenon_H47f.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 83.65/83.86 apply (zenon_L53_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_He2 | zenon_intro zenon_H146 ].
% 83.65/83.86 apply (zenon_L620_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H130 ].
% 83.65/83.86 apply (zenon_L539_); trivial.
% 83.65/83.86 apply (zenon_L626_); trivial.
% 83.65/83.86 (* end of lemma zenon_L627_ *)
% 83.65/83.86 assert (zenon_L628_ : (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((e20) = (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((e22) = (e23))) -> (~((e20) = (e23))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((op2 (e21) (e20)) = (e21)) -> (~((e21) = (e23))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((e20) = (e22))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (op2 (e20) (e22)) (e20)) = (e22)) -> ((op2 (e20) (e22)) = (e21)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.65/83.86 do 0 intro. intros zenon_H48e zenon_Had zenon_H529 zenon_H129 zenon_H47f zenon_H21e zenon_H472 zenon_Hac zenon_Hd6 zenon_H482 zenon_Ha3 zenon_Hd1 zenon_H527 zenon_H45a zenon_Hdc zenon_H142 zenon_H8e zenon_H73 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H48e); [ zenon_intro zenon_Hab | zenon_intro zenon_H494 ].
% 83.65/83.86 apply (zenon_L42_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H494); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H495 ].
% 83.65/83.86 apply (zenon_L624_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H495); [ zenon_intro zenon_H120 | zenon_intro zenon_H74 ].
% 83.65/83.86 apply (zenon_L627_); trivial.
% 83.65/83.86 apply (zenon_L32_); trivial.
% 83.65/83.86 (* end of lemma zenon_L628_ *)
% 83.65/83.86 assert (zenon_L629_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e21) (e20)) = (e23)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e20) (e22)) = (e21)) -> ((op2 (op2 (e20) (e22)) (e20)) = (e22)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((e21) = (e22))) -> False).
% 83.65/83.86 do 0 intro. intros zenon_H140 zenon_Hd6 zenon_Hd5 zenon_H529 zenon_H124 zenon_H7a zenon_H142 zenon_Hdc zenon_H78 zenon_Hd1 zenon_H45a zenon_H527 zenon_H129 zenon_Ha8.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ].
% 83.65/83.86 apply (zenon_L52_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ].
% 83.65/83.86 apply (zenon_L619_); trivial.
% 83.65/83.86 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ].
% 83.65/83.86 apply (zenon_L71_); trivial.
% 83.65/83.86 apply (zenon_L621_); trivial.
% 83.65/83.86 (* end of lemma zenon_L629_ *)
% 83.65/83.86 assert (zenon_L630_ : ((op2 (e23) (e20)) = (e20)) -> ((op2 (e23) (e20)) = (e23)) -> (~((e20) = (e23))) -> False).
% 83.65/83.86 do 0 intro. intros zenon_H10b zenon_H159 zenon_H21e.
% 83.65/83.86 elim (classic ((e23) = (e23))); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hd8 ].
% 83.65/83.86 cut (((e23) = (e23)) = ((e20) = (e23))).
% 83.65/83.86 intro zenon_D_pnotp.
% 83.65/83.86 apply zenon_H21e.
% 83.65/83.86 rewrite <- zenon_D_pnotp.
% 83.65/83.86 exact zenon_Hd7.
% 83.65/83.86 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_Hd8].
% 83.65/83.86 cut (((e23) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H21f].
% 83.65/83.86 congruence.
% 83.65/83.86 cut (((op2 (e23) (e20)) = (e20)) = ((e23) = (e20))).
% 83.65/83.86 intro zenon_D_pnotp.
% 83.65/83.86 apply zenon_H21f.
% 83.65/83.86 rewrite <- zenon_D_pnotp.
% 83.65/83.86 exact zenon_H10b.
% 83.65/83.86 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H60].
% 83.65/83.86 cut (((op2 (e23) (e20)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H15a].
% 83.65/83.86 congruence.
% 83.65/83.86 exact (zenon_H15a zenon_H159).
% 83.65/83.86 apply zenon_H60. apply refl_equal.
% 83.65/83.86 apply zenon_Hd8. apply refl_equal.
% 83.65/83.86 apply zenon_Hd8. apply refl_equal.
% 83.65/83.86 (* end of lemma zenon_L630_ *)
% 83.65/83.86 assert (zenon_L631_ : ((~((op2 (e20) (op2 (e20) (e22))) = (e22)))/\(((op2 (op2 (e20) (e22)) (e20)) = (e22))/\(~((op2 (op2 (e20) (e22)) (e22)) = (e20))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e20) = (e21))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e21) = (e23))) -> (~((e20) = (e23))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((e22) = (e23))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((e20) = (e22))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> False).
% 83.65/83.87 do 0 intro. intros zenon_H52c zenon_H48d zenon_H45f zenon_Hc3 zenon_Had zenon_H15c zenon_H5d zenon_Hb2 zenon_Ha8 zenon_H129 zenon_Hd1 zenon_Hdc zenon_H142 zenon_H124 zenon_H529 zenon_H140 zenon_Hd6 zenon_H21e zenon_H48e zenon_H47f zenon_H472 zenon_H482 zenon_Ha3 zenon_H8e zenon_H73 zenon_H82 zenon_H8a zenon_H15b zenon_H7a zenon_H78 zenon_H7c.
% 83.65/83.87 apply (zenon_and_s _ _ zenon_H52c). zenon_intro zenon_H52e. zenon_intro zenon_H52d.
% 83.65/83.87 apply (zenon_and_s _ _ zenon_H52d). zenon_intro zenon_H527. zenon_intro zenon_H52f.
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.65/83.87 apply (zenon_L40_); trivial.
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.65/83.87 apply (zenon_L623_); trivial.
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H45f); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H460 ].
% 83.65/83.87 apply (zenon_L41_); trivial.
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H460); [ zenon_intro zenon_H139 | zenon_intro zenon_H461 ].
% 83.65/83.87 apply (zenon_L76_); trivial.
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H461); [ zenon_intro zenon_H45a | zenon_intro zenon_H7b ].
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.65/83.87 apply (zenon_L41_); trivial.
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.65/83.87 apply (zenon_L628_); trivial.
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.65/83.87 apply (zenon_L152_); trivial.
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ].
% 83.65/83.87 apply (zenon_L43_); trivial.
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ].
% 83.65/83.87 apply (zenon_L629_); trivial.
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ].
% 83.65/83.87 apply (zenon_L139_); trivial.
% 83.65/83.87 apply (zenon_L88_); trivial.
% 83.65/83.87 apply (zenon_L28_); trivial.
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H45f); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H460 ].
% 83.65/83.87 apply (zenon_L41_); trivial.
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H460); [ zenon_intro zenon_H139 | zenon_intro zenon_H461 ].
% 83.65/83.87 apply (zenon_L76_); trivial.
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H461); [ zenon_intro zenon_H45a | zenon_intro zenon_H7b ].
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.65/83.87 apply (zenon_L41_); trivial.
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.65/83.87 apply (zenon_L628_); trivial.
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ].
% 83.65/83.87 apply (zenon_L43_); trivial.
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ].
% 83.65/83.87 apply (zenon_L629_); trivial.
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ].
% 83.65/83.87 apply (zenon_L83_); trivial.
% 83.65/83.87 apply (zenon_L630_); trivial.
% 83.65/83.87 apply (zenon_L64_); trivial.
% 83.65/83.87 apply (zenon_L28_); trivial.
% 83.65/83.87 (* end of lemma zenon_L631_ *)
% 83.65/83.87 assert (zenon_L632_ : (~((op2 (e20) (e20)) = (op2 (op2 (e20) (e23)) (e20)))) -> ((op2 (e20) (e23)) = (e20)) -> False).
% 83.65/83.87 do 0 intro. intros zenon_H530 zenon_H63.
% 83.65/83.87 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H60].
% 83.65/83.87 cut (((e20) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H4e2].
% 83.65/83.87 congruence.
% 83.65/83.87 apply zenon_H4e2. apply sym_equal. exact zenon_H63.
% 83.65/83.87 apply zenon_H60. apply refl_equal.
% 83.65/83.87 (* end of lemma zenon_L632_ *)
% 83.65/83.87 assert (zenon_L633_ : (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((op2 (op2 (e20) (e23)) (e20)) = (e23)) -> ((op2 (e20) (e23)) = (e20)) -> ((op2 (e21) (e20)) = (e23)) -> False).
% 83.65/83.87 do 0 intro. intros zenon_Hdc zenon_H531 zenon_H63 zenon_Hd5.
% 83.65/83.87 cut (((op2 (op2 (e20) (e23)) (e20)) = (e23)) = ((op2 (e20) (e20)) = (op2 (e21) (e20)))).
% 83.65/83.87 intro zenon_D_pnotp.
% 83.65/83.87 apply zenon_Hdc.
% 83.65/83.87 rewrite <- zenon_D_pnotp.
% 83.65/83.87 exact zenon_H531.
% 83.65/83.87 cut (((e23) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H532].
% 83.65/83.87 cut (((op2 (op2 (e20) (e23)) (e20)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H533].
% 83.65/83.87 congruence.
% 83.65/83.87 elim (classic ((op2 (e20) (e20)) = (op2 (e20) (e20)))); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H84 ].
% 83.65/83.87 cut (((op2 (e20) (e20)) = (op2 (e20) (e20))) = ((op2 (op2 (e20) (e23)) (e20)) = (op2 (e20) (e20)))).
% 83.65/83.87 intro zenon_D_pnotp.
% 83.65/83.87 apply zenon_H533.
% 83.65/83.87 rewrite <- zenon_D_pnotp.
% 83.65/83.87 exact zenon_Hb5.
% 83.65/83.87 cut (((op2 (e20) (e20)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H84].
% 83.65/83.87 cut (((op2 (e20) (e20)) = (op2 (op2 (e20) (e23)) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H530].
% 83.65/83.87 congruence.
% 83.65/83.87 apply (zenon_L632_); trivial.
% 83.65/83.87 apply zenon_H84. apply refl_equal.
% 83.65/83.87 apply zenon_H84. apply refl_equal.
% 83.65/83.87 apply zenon_H532. apply sym_equal. exact zenon_Hd5.
% 83.65/83.87 (* end of lemma zenon_L633_ *)
% 83.65/83.87 assert (zenon_L634_ : (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((op2 (op2 (e20) (e23)) (e20)) = (e23)) -> ((op2 (e20) (e23)) = (e20)) -> ((op2 (e22) (e20)) = (e23)) -> False).
% 83.65/83.87 do 0 intro. intros zenon_Hef zenon_H531 zenon_H63 zenon_H152.
% 83.65/83.87 cut (((op2 (op2 (e20) (e23)) (e20)) = (e23)) = ((op2 (e20) (e20)) = (op2 (e22) (e20)))).
% 83.65/83.87 intro zenon_D_pnotp.
% 83.65/83.87 apply zenon_Hef.
% 83.65/83.87 rewrite <- zenon_D_pnotp.
% 83.65/83.87 exact zenon_H531.
% 83.65/83.87 cut (((e23) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H534].
% 83.65/83.87 cut (((op2 (op2 (e20) (e23)) (e20)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H533].
% 83.65/83.87 congruence.
% 83.65/83.87 elim (classic ((op2 (e20) (e20)) = (op2 (e20) (e20)))); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H84 ].
% 83.65/83.87 cut (((op2 (e20) (e20)) = (op2 (e20) (e20))) = ((op2 (op2 (e20) (e23)) (e20)) = (op2 (e20) (e20)))).
% 83.65/83.87 intro zenon_D_pnotp.
% 83.65/83.87 apply zenon_H533.
% 83.65/83.87 rewrite <- zenon_D_pnotp.
% 83.65/83.87 exact zenon_Hb5.
% 83.65/83.87 cut (((op2 (e20) (e20)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H84].
% 83.65/83.87 cut (((op2 (e20) (e20)) = (op2 (op2 (e20) (e23)) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H530].
% 83.65/83.87 congruence.
% 83.65/83.87 apply (zenon_L632_); trivial.
% 83.65/83.87 apply zenon_H84. apply refl_equal.
% 83.65/83.87 apply zenon_H84. apply refl_equal.
% 83.65/83.87 apply zenon_H534. apply sym_equal. exact zenon_H152.
% 83.65/83.87 (* end of lemma zenon_L634_ *)
% 83.65/83.87 assert (zenon_L635_ : (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (op2 (e20) (e23)) (e20)) = (e23)) -> ((op2 (e20) (e23)) = (e20)) -> ((op2 (e23) (e20)) = (e23)) -> False).
% 83.65/83.87 do 0 intro. intros zenon_H509 zenon_H531 zenon_H63 zenon_H159.
% 83.65/83.87 cut (((op2 (op2 (e20) (e23)) (e20)) = (e23)) = ((op2 (e20) (e20)) = (op2 (e23) (e20)))).
% 83.65/83.87 intro zenon_D_pnotp.
% 83.65/83.87 apply zenon_H509.
% 83.65/83.87 rewrite <- zenon_D_pnotp.
% 83.65/83.87 exact zenon_H531.
% 83.65/83.87 cut (((e23) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H535].
% 83.65/83.87 cut (((op2 (op2 (e20) (e23)) (e20)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H533].
% 83.65/83.87 congruence.
% 83.65/83.87 elim (classic ((op2 (e20) (e20)) = (op2 (e20) (e20)))); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H84 ].
% 83.65/83.87 cut (((op2 (e20) (e20)) = (op2 (e20) (e20))) = ((op2 (op2 (e20) (e23)) (e20)) = (op2 (e20) (e20)))).
% 83.65/83.87 intro zenon_D_pnotp.
% 83.65/83.87 apply zenon_H533.
% 83.65/83.87 rewrite <- zenon_D_pnotp.
% 83.65/83.87 exact zenon_Hb5.
% 83.65/83.87 cut (((op2 (e20) (e20)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H84].
% 83.65/83.87 cut (((op2 (e20) (e20)) = (op2 (op2 (e20) (e23)) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H530].
% 83.65/83.87 congruence.
% 83.65/83.87 apply (zenon_L632_); trivial.
% 83.65/83.87 apply zenon_H84. apply refl_equal.
% 83.65/83.87 apply zenon_H84. apply refl_equal.
% 83.65/83.87 apply zenon_H535. apply sym_equal. exact zenon_H159.
% 83.65/83.87 (* end of lemma zenon_L635_ *)
% 83.65/83.87 assert (zenon_L636_ : (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (op2 (e20) (e23)) (e20)) = (e23)) -> ((op2 (e20) (e23)) = (e20)) -> False).
% 83.65/83.87 do 0 intro. intros zenon_H15c zenon_H7a zenon_H5d zenon_Hb2 zenon_Hdc zenon_Hef zenon_H509 zenon_H531 zenon_H63.
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ].
% 83.65/83.87 apply (zenon_L43_); trivial.
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ].
% 83.65/83.87 apply (zenon_L633_); trivial.
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ].
% 83.65/83.87 apply (zenon_L634_); trivial.
% 83.65/83.87 apply (zenon_L635_); trivial.
% 83.65/83.87 (* end of lemma zenon_L636_ *)
% 83.65/83.87 assert (zenon_L637_ : ((~((op2 (e20) (op2 (e20) (e23))) = (e23)))/\(((op2 (op2 (e20) (e23)) (e20)) = (e23))/\(~((op2 (op2 (e20) (e23)) (e23)) = (e20))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.65/83.87 do 0 intro. intros zenon_H536 zenon_Hce zenon_H509 zenon_Hef zenon_Hdc zenon_Hb2 zenon_H15c zenon_H73 zenon_H91 zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a.
% 83.65/83.87 apply (zenon_and_s _ _ zenon_H536). zenon_intro zenon_H538. zenon_intro zenon_H537.
% 83.65/83.87 apply (zenon_and_s _ _ zenon_H537). zenon_intro zenon_H531. zenon_intro zenon_H539.
% 83.65/83.87 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H63 | zenon_intro zenon_Hcf ].
% 83.65/83.87 apply (zenon_L636_); trivial.
% 83.65/83.87 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H74 | zenon_intro zenon_Hd0 ].
% 83.65/83.87 apply (zenon_L32_); trivial.
% 83.65/83.87 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H92 | zenon_intro zenon_H95 ].
% 83.65/83.87 apply (zenon_L34_); trivial.
% 83.65/83.87 apply (zenon_L36_); trivial.
% 83.65/83.87 (* end of lemma zenon_L637_ *)
% 83.65/83.87 assert (zenon_L638_ : (~((op2 (e20) (e21)) = (op2 (op2 (e21) (e20)) (e21)))) -> ((op2 (e21) (e20)) = (e20)) -> False).
% 83.65/83.87 do 0 intro. intros zenon_H53a zenon_Hab.
% 83.65/83.87 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Haf].
% 83.65/83.87 cut (((e20) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H53b].
% 83.65/83.87 congruence.
% 83.65/83.87 apply zenon_H53b. apply sym_equal. exact zenon_Hab.
% 83.65/83.87 apply zenon_Haf. apply refl_equal.
% 83.65/83.87 (* end of lemma zenon_L638_ *)
% 83.65/83.87 assert (zenon_L639_ : (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((op2 (op2 (e21) (e20)) (e21)) = (e20)) -> ((op2 (e21) (e20)) = (e20)) -> ((op2 (e21) (e21)) = (e20)) -> False).
% 83.65/83.87 do 0 intro. intros zenon_H472 zenon_H53c zenon_Hab zenon_Hd2.
% 83.65/83.87 cut (((op2 (op2 (e21) (e20)) (e21)) = (e20)) = ((op2 (e20) (e21)) = (op2 (e21) (e21)))).
% 83.65/83.87 intro zenon_D_pnotp.
% 83.65/83.87 apply zenon_H472.
% 83.65/83.87 rewrite <- zenon_D_pnotp.
% 83.65/83.87 exact zenon_H53c.
% 83.65/83.87 cut (((e20) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_Hd3].
% 83.65/83.87 cut (((op2 (op2 (e21) (e20)) (e21)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H53d].
% 83.65/83.87 congruence.
% 83.65/83.87 elim (classic ((op2 (e20) (e21)) = (op2 (e20) (e21)))); [ zenon_intro zenon_H106 | zenon_intro zenon_H107 ].
% 83.65/83.87 cut (((op2 (e20) (e21)) = (op2 (e20) (e21))) = ((op2 (op2 (e21) (e20)) (e21)) = (op2 (e20) (e21)))).
% 83.65/83.87 intro zenon_D_pnotp.
% 83.65/83.87 apply zenon_H53d.
% 83.65/83.87 rewrite <- zenon_D_pnotp.
% 83.65/83.87 exact zenon_H106.
% 83.65/83.87 cut (((op2 (e20) (e21)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H107].
% 83.65/83.87 cut (((op2 (e20) (e21)) = (op2 (op2 (e21) (e20)) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H53a].
% 83.65/83.87 congruence.
% 83.65/83.87 apply (zenon_L638_); trivial.
% 83.65/83.87 apply zenon_H107. apply refl_equal.
% 83.65/83.87 apply zenon_H107. apply refl_equal.
% 83.65/83.87 apply zenon_Hd3. apply sym_equal. exact zenon_Hd2.
% 83.65/83.87 (* end of lemma zenon_L639_ *)
% 83.65/83.87 assert (zenon_L640_ : (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((op2 (op2 (e21) (e20)) (e21)) = (e20)) -> ((op2 (e21) (e20)) = (e20)) -> ((op2 (e22) (e21)) = (e20)) -> False).
% 83.65/83.87 do 0 intro. intros zenon_H466 zenon_H53c zenon_Hab zenon_He4.
% 83.65/83.87 cut (((op2 (op2 (e21) (e20)) (e21)) = (e20)) = ((op2 (e20) (e21)) = (op2 (e22) (e21)))).
% 83.65/83.87 intro zenon_D_pnotp.
% 83.65/83.87 apply zenon_H466.
% 83.65/83.87 rewrite <- zenon_D_pnotp.
% 83.65/83.87 exact zenon_H53c.
% 83.65/83.87 cut (((e20) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H468].
% 83.65/83.87 cut (((op2 (op2 (e21) (e20)) (e21)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H53d].
% 83.65/83.87 congruence.
% 83.65/83.87 elim (classic ((op2 (e20) (e21)) = (op2 (e20) (e21)))); [ zenon_intro zenon_H106 | zenon_intro zenon_H107 ].
% 83.65/83.87 cut (((op2 (e20) (e21)) = (op2 (e20) (e21))) = ((op2 (op2 (e21) (e20)) (e21)) = (op2 (e20) (e21)))).
% 83.65/83.87 intro zenon_D_pnotp.
% 83.65/83.87 apply zenon_H53d.
% 83.65/83.87 rewrite <- zenon_D_pnotp.
% 83.65/83.87 exact zenon_H106.
% 83.65/83.87 cut (((op2 (e20) (e21)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H107].
% 83.65/83.87 cut (((op2 (e20) (e21)) = (op2 (op2 (e21) (e20)) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H53a].
% 83.65/83.87 congruence.
% 83.65/83.87 apply (zenon_L638_); trivial.
% 83.65/83.87 apply zenon_H107. apply refl_equal.
% 83.65/83.87 apply zenon_H107. apply refl_equal.
% 83.65/83.87 apply zenon_H468. apply sym_equal. exact zenon_He4.
% 83.65/83.87 (* end of lemma zenon_L640_ *)
% 83.65/83.87 assert (zenon_L641_ : (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((op2 (op2 (e21) (e20)) (e21)) = (e20)) -> ((op2 (e21) (e20)) = (e20)) -> ((op2 (e23) (e21)) = (e20)) -> False).
% 83.65/83.87 do 0 intro. intros zenon_H511 zenon_H53c zenon_Hab zenon_H11e.
% 83.65/83.87 cut (((op2 (op2 (e21) (e20)) (e21)) = (e20)) = ((op2 (e20) (e21)) = (op2 (e23) (e21)))).
% 83.65/83.87 intro zenon_D_pnotp.
% 83.65/83.87 apply zenon_H511.
% 83.65/83.87 rewrite <- zenon_D_pnotp.
% 83.65/83.87 exact zenon_H53c.
% 83.65/83.87 cut (((e20) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H53e].
% 83.65/83.87 cut (((op2 (op2 (e21) (e20)) (e21)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H53d].
% 83.65/83.87 congruence.
% 83.65/83.87 elim (classic ((op2 (e20) (e21)) = (op2 (e20) (e21)))); [ zenon_intro zenon_H106 | zenon_intro zenon_H107 ].
% 83.65/83.87 cut (((op2 (e20) (e21)) = (op2 (e20) (e21))) = ((op2 (op2 (e21) (e20)) (e21)) = (op2 (e20) (e21)))).
% 83.65/83.87 intro zenon_D_pnotp.
% 83.65/83.87 apply zenon_H53d.
% 83.65/83.87 rewrite <- zenon_D_pnotp.
% 83.65/83.87 exact zenon_H106.
% 83.65/83.87 cut (((op2 (e20) (e21)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H107].
% 83.65/83.87 cut (((op2 (e20) (e21)) = (op2 (op2 (e21) (e20)) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H53a].
% 83.65/83.87 congruence.
% 83.65/83.87 apply (zenon_L638_); trivial.
% 83.65/83.87 apply zenon_H107. apply refl_equal.
% 83.65/83.87 apply zenon_H107. apply refl_equal.
% 83.65/83.87 apply zenon_H53e. apply sym_equal. exact zenon_H11e.
% 83.65/83.87 (* end of lemma zenon_L641_ *)
% 83.65/83.87 assert (zenon_L642_ : (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((op2 (op2 (e21) (e20)) (e21)) = (e20)) -> ((op2 (e21) (e20)) = (e20)) -> False).
% 83.65/83.87 do 0 intro. intros zenon_H14f zenon_H8a zenon_H7a zenon_H5d zenon_H78 zenon_H82 zenon_H7c zenon_H94 zenon_H8e zenon_H91 zenon_H73 zenon_Hce zenon_H472 zenon_H466 zenon_H511 zenon_H53c zenon_Hab.
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ].
% 83.65/83.87 apply (zenon_L49_); trivial.
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ].
% 83.65/83.87 apply (zenon_L639_); trivial.
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ].
% 83.65/83.87 apply (zenon_L640_); trivial.
% 83.65/83.87 apply (zenon_L641_); trivial.
% 83.65/83.87 (* end of lemma zenon_L642_ *)
% 83.65/83.87 assert (zenon_L643_ : (~((op2 (e21) (op2 (e21) (e20))) = (e20))) -> ((op2 (op2 (e21) (e20)) (e21)) = (e20)) -> ((op2 (e21) (e20)) = (e21)) -> False).
% 83.65/83.87 do 0 intro. intros zenon_H53f zenon_H53c zenon_Hac.
% 83.65/83.87 cut (((op2 (op2 (e21) (e20)) (e21)) = (e20)) = ((op2 (e21) (op2 (e21) (e20))) = (e20))).
% 83.65/83.87 intro zenon_D_pnotp.
% 83.65/83.87 apply zenon_H53f.
% 83.65/83.87 rewrite <- zenon_D_pnotp.
% 83.65/83.87 exact zenon_H53c.
% 83.65/83.87 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H60].
% 83.65/83.87 cut (((op2 (op2 (e21) (e20)) (e21)) = (op2 (e21) (op2 (e21) (e20))))); [idtac | apply NNPP; zenon_intro zenon_H540].
% 83.65/83.87 congruence.
% 83.65/83.87 elim (classic ((op2 (e21) (op2 (e21) (e20))) = (op2 (e21) (op2 (e21) (e20))))); [ zenon_intro zenon_H541 | zenon_intro zenon_H542 ].
% 83.65/83.87 cut (((op2 (e21) (op2 (e21) (e20))) = (op2 (e21) (op2 (e21) (e20)))) = ((op2 (op2 (e21) (e20)) (e21)) = (op2 (e21) (op2 (e21) (e20))))).
% 83.65/83.87 intro zenon_D_pnotp.
% 83.65/83.87 apply zenon_H540.
% 83.65/83.87 rewrite <- zenon_D_pnotp.
% 83.65/83.87 exact zenon_H541.
% 83.65/83.87 cut (((op2 (e21) (op2 (e21) (e20))) = (op2 (e21) (op2 (e21) (e20))))); [idtac | apply NNPP; zenon_intro zenon_H542].
% 83.65/83.87 cut (((op2 (e21) (op2 (e21) (e20))) = (op2 (op2 (e21) (e20)) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H543].
% 83.65/83.87 congruence.
% 83.65/83.87 cut (((op2 (e21) (e20)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Hb1].
% 83.65/83.87 cut (((e21) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H544].
% 83.65/83.87 congruence.
% 83.65/83.87 apply zenon_H544. apply sym_equal. exact zenon_Hac.
% 83.65/83.87 exact (zenon_Hb1 zenon_Hac).
% 83.65/83.87 apply zenon_H542. apply refl_equal.
% 83.65/83.87 apply zenon_H542. apply refl_equal.
% 83.65/83.87 apply zenon_H60. apply refl_equal.
% 83.65/83.87 (* end of lemma zenon_L643_ *)
% 83.65/83.87 assert (zenon_L644_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e21) = (e22))) -> ((e22) = (op2 (e20) (e20))) -> ((op2 (op2 (e21) (e20)) (e21)) = (e20)) -> (~((op2 (e21) (op2 (e21) (e20))) = (e20))) -> (~((e20) = (e21))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (op2 (e21) (e20)) (e20)) = (e21))) -> (~((e20) = (e23))) -> ((op2 (e22) (e20)) = (e20)) -> (~((e21) = (e23))) -> False).
% 83.65/83.87 do 0 intro. intros zenon_H15b zenon_Ha8 zenon_H78 zenon_H53c zenon_H53f zenon_Had zenon_H15c zenon_H7a zenon_H5d zenon_Hb2 zenon_H545 zenon_H21e zenon_H21d zenon_Hd6.
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.65/83.87 apply (zenon_L41_); trivial.
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.65/83.87 apply (zenon_L643_); trivial.
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.65/83.87 apply (zenon_L152_); trivial.
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ].
% 83.65/83.87 apply (zenon_L43_); trivial.
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ].
% 83.65/83.87 cut (((op2 (e23) (e20)) = (e21)) = ((op2 (op2 (e21) (e20)) (e20)) = (e21))).
% 83.65/83.87 intro zenon_D_pnotp.
% 83.65/83.87 apply zenon_H545.
% 83.65/83.87 rewrite <- zenon_D_pnotp.
% 83.65/83.87 exact zenon_H10c.
% 83.65/83.87 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Haf].
% 83.65/83.87 cut (((op2 (e23) (e20)) = (op2 (op2 (e21) (e20)) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H546].
% 83.65/83.87 congruence.
% 83.65/83.87 elim (classic ((op2 (op2 (e21) (e20)) (e20)) = (op2 (op2 (e21) (e20)) (e20)))); [ zenon_intro zenon_H547 | zenon_intro zenon_H548 ].
% 83.65/83.87 cut (((op2 (op2 (e21) (e20)) (e20)) = (op2 (op2 (e21) (e20)) (e20))) = ((op2 (e23) (e20)) = (op2 (op2 (e21) (e20)) (e20)))).
% 83.65/83.87 intro zenon_D_pnotp.
% 83.65/83.87 apply zenon_H546.
% 83.65/83.87 rewrite <- zenon_D_pnotp.
% 83.65/83.87 exact zenon_H547.
% 83.65/83.87 cut (((op2 (op2 (e21) (e20)) (e20)) = (op2 (op2 (e21) (e20)) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H548].
% 83.65/83.87 cut (((op2 (op2 (e21) (e20)) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H549].
% 83.65/83.87 congruence.
% 83.65/83.87 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H60].
% 83.65/83.87 cut (((op2 (e21) (e20)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_Hda].
% 83.65/83.87 congruence.
% 83.65/83.87 exact (zenon_Hda zenon_Hd5).
% 83.65/83.87 apply zenon_H60. apply refl_equal.
% 83.65/83.87 apply zenon_H548. apply refl_equal.
% 83.65/83.87 apply zenon_H548. apply refl_equal.
% 83.65/83.87 apply zenon_Haf. apply refl_equal.
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ].
% 83.65/83.87 apply (zenon_L139_); trivial.
% 83.65/83.87 apply (zenon_L88_); trivial.
% 83.65/83.87 (* end of lemma zenon_L644_ *)
% 83.65/83.87 assert (zenon_L645_ : (~((op2 (e23) (e21)) = (op2 (op2 (e21) (e20)) (e21)))) -> ((op2 (e21) (e20)) = (e23)) -> False).
% 83.65/83.87 do 0 intro. intros zenon_H54a zenon_Hd5.
% 83.65/83.87 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Haf].
% 83.65/83.87 cut (((e23) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H532].
% 83.65/83.87 congruence.
% 83.65/83.87 apply zenon_H532. apply sym_equal. exact zenon_Hd5.
% 83.65/83.87 apply zenon_Haf. apply refl_equal.
% 83.65/83.87 (* end of lemma zenon_L645_ *)
% 83.65/83.87 assert (zenon_L646_ : ((op2 (op2 (e21) (e20)) (e21)) = (e20)) -> ((op2 (e21) (e20)) = (e23)) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> False).
% 83.65/83.87 do 0 intro. intros zenon_H53c zenon_Hd5 zenon_Hd2 zenon_H54b.
% 83.65/83.87 elim (classic ((op2 (e23) (e21)) = (op2 (e23) (e21)))); [ zenon_intro zenon_H49d | zenon_intro zenon_H49e ].
% 83.65/83.87 cut (((op2 (e23) (e21)) = (op2 (e23) (e21))) = ((op2 (e21) (e21)) = (op2 (e23) (e21)))).
% 83.65/83.87 intro zenon_D_pnotp.
% 83.65/83.87 apply zenon_H54b.
% 83.65/83.87 rewrite <- zenon_D_pnotp.
% 83.65/83.87 exact zenon_H49d.
% 83.65/83.87 cut (((op2 (e23) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H49e].
% 83.65/83.87 cut (((op2 (e23) (e21)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H54c].
% 83.65/83.87 congruence.
% 83.65/83.87 cut (((op2 (op2 (e21) (e20)) (e21)) = (e20)) = ((op2 (e23) (e21)) = (op2 (e21) (e21)))).
% 83.65/83.87 intro zenon_D_pnotp.
% 83.65/83.87 apply zenon_H54c.
% 83.65/83.87 rewrite <- zenon_D_pnotp.
% 83.65/83.87 exact zenon_H53c.
% 83.65/83.87 cut (((e20) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_Hd3].
% 83.65/83.87 cut (((op2 (op2 (e21) (e20)) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H54d].
% 83.65/83.87 congruence.
% 83.65/83.87 elim (classic ((op2 (e23) (e21)) = (op2 (e23) (e21)))); [ zenon_intro zenon_H49d | zenon_intro zenon_H49e ].
% 83.65/83.87 cut (((op2 (e23) (e21)) = (op2 (e23) (e21))) = ((op2 (op2 (e21) (e20)) (e21)) = (op2 (e23) (e21)))).
% 83.65/83.87 intro zenon_D_pnotp.
% 83.65/83.87 apply zenon_H54d.
% 83.65/83.87 rewrite <- zenon_D_pnotp.
% 83.65/83.87 exact zenon_H49d.
% 83.65/83.87 cut (((op2 (e23) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H49e].
% 83.65/83.87 cut (((op2 (e23) (e21)) = (op2 (op2 (e21) (e20)) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H54a].
% 83.65/83.87 congruence.
% 83.65/83.87 apply (zenon_L645_); trivial.
% 83.65/83.87 apply zenon_H49e. apply refl_equal.
% 83.65/83.87 apply zenon_H49e. apply refl_equal.
% 83.65/83.87 apply zenon_Hd3. apply sym_equal. exact zenon_Hd2.
% 83.65/83.87 apply zenon_H49e. apply refl_equal.
% 83.65/83.87 apply zenon_H49e. apply refl_equal.
% 83.65/83.87 (* end of lemma zenon_L646_ *)
% 83.65/83.87 assert (zenon_L647_ : ((op2 (op2 (e21) (e20)) (e21)) = (e20)) -> ((op2 (e21) (e20)) = (e23)) -> ((op2 (e22) (e21)) = (e20)) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> False).
% 83.65/83.87 do 0 intro. intros zenon_H53c zenon_Hd5 zenon_He4 zenon_H49b.
% 83.65/83.87 elim (classic ((op2 (e23) (e21)) = (op2 (e23) (e21)))); [ zenon_intro zenon_H49d | zenon_intro zenon_H49e ].
% 83.65/83.87 cut (((op2 (e23) (e21)) = (op2 (e23) (e21))) = ((op2 (e22) (e21)) = (op2 (e23) (e21)))).
% 83.65/83.87 intro zenon_D_pnotp.
% 83.65/83.87 apply zenon_H49b.
% 83.65/83.87 rewrite <- zenon_D_pnotp.
% 83.65/83.87 exact zenon_H49d.
% 83.65/83.87 cut (((op2 (e23) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H49e].
% 83.65/83.87 cut (((op2 (e23) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H49f].
% 83.65/83.87 congruence.
% 83.65/83.87 cut (((op2 (op2 (e21) (e20)) (e21)) = (e20)) = ((op2 (e23) (e21)) = (op2 (e22) (e21)))).
% 83.65/83.87 intro zenon_D_pnotp.
% 83.65/83.87 apply zenon_H49f.
% 83.65/83.87 rewrite <- zenon_D_pnotp.
% 83.65/83.87 exact zenon_H53c.
% 83.65/83.87 cut (((e20) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H468].
% 83.65/83.87 cut (((op2 (op2 (e21) (e20)) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H54d].
% 83.65/83.87 congruence.
% 83.65/83.87 elim (classic ((op2 (e23) (e21)) = (op2 (e23) (e21)))); [ zenon_intro zenon_H49d | zenon_intro zenon_H49e ].
% 83.65/83.87 cut (((op2 (e23) (e21)) = (op2 (e23) (e21))) = ((op2 (op2 (e21) (e20)) (e21)) = (op2 (e23) (e21)))).
% 83.65/83.87 intro zenon_D_pnotp.
% 83.65/83.87 apply zenon_H54d.
% 83.65/83.87 rewrite <- zenon_D_pnotp.
% 83.65/83.87 exact zenon_H49d.
% 83.65/83.87 cut (((op2 (e23) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H49e].
% 83.65/83.87 cut (((op2 (e23) (e21)) = (op2 (op2 (e21) (e20)) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H54a].
% 83.65/83.87 congruence.
% 83.65/83.87 apply (zenon_L645_); trivial.
% 83.65/83.87 apply zenon_H49e. apply refl_equal.
% 83.65/83.87 apply zenon_H49e. apply refl_equal.
% 83.65/83.87 apply zenon_H468. apply sym_equal. exact zenon_He4.
% 83.65/83.87 apply zenon_H49e. apply refl_equal.
% 83.65/83.87 apply zenon_H49e. apply refl_equal.
% 83.65/83.87 (* end of lemma zenon_L647_ *)
% 83.65/83.87 assert (zenon_L648_ : (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e20)) = (e20)) -> ((op2 (e23) (e21)) = (e20)) -> False).
% 83.65/83.87 do 0 intro. intros zenon_H13e zenon_H10b zenon_H11e.
% 83.65/83.87 cut (((op2 (e23) (e20)) = (e20)) = ((op2 (e23) (e20)) = (op2 (e23) (e21)))).
% 83.65/83.87 intro zenon_D_pnotp.
% 83.65/83.87 apply zenon_H13e.
% 83.65/83.87 rewrite <- zenon_D_pnotp.
% 83.65/83.87 exact zenon_H10b.
% 83.65/83.87 cut (((e20) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H53e].
% 83.65/83.87 cut (((op2 (e23) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hbe].
% 83.65/83.87 congruence.
% 83.65/83.87 apply zenon_Hbe. apply refl_equal.
% 83.65/83.87 apply zenon_H53e. apply sym_equal. exact zenon_H11e.
% 83.65/83.87 (* end of lemma zenon_L648_ *)
% 83.65/83.87 assert (zenon_L649_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e21) = (e22))) -> (~((op2 (e21) (op2 (e21) (e20))) = (e20))) -> (~((e20) = (e23))) -> (~((e21) = (e23))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((op2 (op2 (e21) (e20)) (e21)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> ((op2 (e23) (e20)) = (e20)) -> (~((e20) = (e21))) -> False).
% 83.65/83.87 do 0 intro. intros zenon_H15b zenon_Ha8 zenon_H53f zenon_H21e zenon_Hd6 zenon_H14f zenon_H8a zenon_H7a zenon_H5d zenon_H78 zenon_H82 zenon_H7c zenon_H94 zenon_H8e zenon_H91 zenon_H73 zenon_Hce zenon_H54b zenon_H49b zenon_H53c zenon_H13e zenon_Hb2 zenon_H15c zenon_H10b zenon_Had.
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.65/83.87 apply (zenon_L41_); trivial.
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.65/83.87 apply (zenon_L643_); trivial.
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ].
% 83.65/83.87 apply (zenon_L43_); trivial.
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ].
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ].
% 83.65/83.87 apply (zenon_L49_); trivial.
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ].
% 83.65/83.87 apply (zenon_L646_); trivial.
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ].
% 83.65/83.87 apply (zenon_L647_); trivial.
% 83.65/83.87 apply (zenon_L648_); trivial.
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ].
% 83.65/83.87 apply (zenon_L83_); trivial.
% 83.65/83.87 apply (zenon_L630_); trivial.
% 83.65/83.87 apply (zenon_L64_); trivial.
% 83.65/83.87 (* end of lemma zenon_L649_ *)
% 83.65/83.87 assert (zenon_L650_ : ((~((op2 (e21) (op2 (e21) (e20))) = (e20)))/\(((op2 (op2 (e21) (e20)) (e21)) = (e20))/\(~((op2 (op2 (e21) (e20)) (e20)) = (e21))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e21) = (e22))) -> (~((e20) = (e23))) -> (~((e21) = (e23))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((e20) = (e21))) -> False).
% 83.65/83.87 do 0 intro. intros zenon_H54e zenon_H48d zenon_Ha3 zenon_H511 zenon_H466 zenon_H472 zenon_H15b zenon_Ha8 zenon_H21e zenon_Hd6 zenon_H14f zenon_H8a zenon_H7a zenon_H5d zenon_H78 zenon_H82 zenon_H7c zenon_H94 zenon_H8e zenon_H91 zenon_H73 zenon_Hce zenon_H54b zenon_H49b zenon_H13e zenon_Hb2 zenon_H15c zenon_Had.
% 83.65/83.87 apply (zenon_and_s _ _ zenon_H54e). zenon_intro zenon_H53f. zenon_intro zenon_H54f.
% 83.65/83.87 apply (zenon_and_s _ _ zenon_H54f). zenon_intro zenon_H53c. zenon_intro zenon_H545.
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.65/83.87 apply (zenon_L40_); trivial.
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.65/83.87 apply (zenon_L642_); trivial.
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.65/83.87 apply (zenon_L644_); trivial.
% 83.65/83.87 apply (zenon_L649_); trivial.
% 83.65/83.87 (* end of lemma zenon_L650_ *)
% 83.65/83.87 assert (zenon_L651_ : ((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\(((op2 (op2 (e21) (e21)) (e21)) = (e21))/\(~((op2 (op2 (e21) (e21)) (e21)) = (e21))))) -> False).
% 83.65/83.87 do 0 intro. intros zenon_H550.
% 83.65/83.87 apply (zenon_and_s _ _ zenon_H550). zenon_intro zenon_H46d. zenon_intro zenon_H551.
% 83.65/83.87 apply (zenon_and_s _ _ zenon_H551). zenon_intro zenon_H553. zenon_intro zenon_H552.
% 83.65/83.87 exact (zenon_H552 zenon_H553).
% 83.65/83.87 (* end of lemma zenon_L651_ *)
% 83.65/83.87 assert (zenon_L652_ : ((op2 (e22) (e20)) = (e21)) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> False).
% 83.65/83.87 do 0 intro. intros zenon_Hbb zenon_Hac zenon_H554.
% 83.65/83.87 elim (classic ((op2 (e22) (e20)) = (op2 (e22) (e20)))); [ zenon_intro zenon_Hf0 | zenon_intro zenon_Hf1 ].
% 83.65/83.87 cut (((op2 (e22) (e20)) = (op2 (e22) (e20))) = ((op2 (e21) (e20)) = (op2 (e22) (e20)))).
% 83.65/83.87 intro zenon_D_pnotp.
% 83.65/83.87 apply zenon_H554.
% 83.65/83.87 rewrite <- zenon_D_pnotp.
% 83.65/83.87 exact zenon_Hf0.
% 83.65/83.87 cut (((op2 (e22) (e20)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hf1].
% 83.65/83.87 cut (((op2 (e22) (e20)) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H555].
% 83.65/83.87 congruence.
% 83.65/83.87 cut (((op2 (e22) (e20)) = (e21)) = ((op2 (e22) (e20)) = (op2 (e21) (e20)))).
% 83.65/83.87 intro zenon_D_pnotp.
% 83.65/83.87 apply zenon_H555.
% 83.65/83.87 rewrite <- zenon_D_pnotp.
% 83.65/83.87 exact zenon_Hbb.
% 83.65/83.87 cut (((e21) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H544].
% 83.65/83.87 cut (((op2 (e22) (e20)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hf1].
% 83.65/83.87 congruence.
% 83.65/83.87 apply zenon_Hf1. apply refl_equal.
% 83.65/83.87 apply zenon_H544. apply sym_equal. exact zenon_Hac.
% 83.65/83.87 apply zenon_Hf1. apply refl_equal.
% 83.65/83.87 apply zenon_Hf1. apply refl_equal.
% 83.65/83.87 (* end of lemma zenon_L652_ *)
% 83.65/83.87 assert (zenon_L653_ : (~((op2 (e21) (op2 (e21) (e22))) = (e22))) -> ((op2 (e21) (e22)) = (e22)) -> False).
% 83.65/83.87 do 0 intro. intros zenon_H556 zenon_Hf8.
% 83.65/83.87 cut (((op2 (e21) (e22)) = (e22)) = ((op2 (e21) (op2 (e21) (e22))) = (e22))).
% 83.65/83.87 intro zenon_D_pnotp.
% 83.65/83.87 apply zenon_H556.
% 83.65/83.87 rewrite <- zenon_D_pnotp.
% 83.65/83.87 exact zenon_Hf8.
% 83.65/83.87 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Ha1].
% 83.65/83.87 cut (((op2 (e21) (e22)) = (op2 (e21) (op2 (e21) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H488].
% 83.65/83.87 congruence.
% 83.65/83.87 elim (classic ((op2 (e21) (op2 (e21) (e22))) = (op2 (e21) (op2 (e21) (e22))))); [ zenon_intro zenon_H557 | zenon_intro zenon_H558 ].
% 83.65/83.87 cut (((op2 (e21) (op2 (e21) (e22))) = (op2 (e21) (op2 (e21) (e22)))) = ((op2 (e21) (e22)) = (op2 (e21) (op2 (e21) (e22))))).
% 83.65/83.87 intro zenon_D_pnotp.
% 83.65/83.87 apply zenon_H488.
% 83.65/83.87 rewrite <- zenon_D_pnotp.
% 83.65/83.87 exact zenon_H557.
% 83.65/83.87 cut (((op2 (e21) (op2 (e21) (e22))) = (op2 (e21) (op2 (e21) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H558].
% 83.65/83.87 cut (((op2 (e21) (op2 (e21) (e22))) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H559].
% 83.65/83.87 congruence.
% 83.65/83.87 cut (((op2 (e21) (e22)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H48a].
% 83.65/83.87 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Haf].
% 83.65/83.87 congruence.
% 83.65/83.87 apply zenon_Haf. apply refl_equal.
% 83.65/83.87 exact (zenon_H48a zenon_Hf8).
% 83.65/83.87 apply zenon_H558. apply refl_equal.
% 83.65/83.87 apply zenon_H558. apply refl_equal.
% 83.65/83.87 apply zenon_Ha1. apply refl_equal.
% 83.65/83.87 (* end of lemma zenon_L653_ *)
% 83.65/83.87 assert (zenon_L654_ : ((e22) = (op2 (e20) (e20))) -> ((op2 (e20) (e22)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> False).
% 83.65/83.87 do 0 intro. intros zenon_H78 zenon_H55a zenon_H55b.
% 83.65/83.87 elim (classic ((op2 (e20) (e22)) = (op2 (e20) (e22)))); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc5 ].
% 83.65/83.87 cut (((op2 (e20) (e22)) = (op2 (e20) (e22))) = ((op2 (e20) (e20)) = (op2 (e20) (e22)))).
% 83.65/83.87 intro zenon_D_pnotp.
% 83.65/83.87 apply zenon_H55b.
% 83.65/83.87 rewrite <- zenon_D_pnotp.
% 83.65/83.87 exact zenon_Hc4.
% 83.65/83.87 cut (((op2 (e20) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hc5].
% 83.65/83.87 cut (((op2 (e20) (e22)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H55c].
% 83.65/83.87 congruence.
% 83.65/83.87 cut (((e22) = (op2 (e20) (e20))) = ((op2 (e20) (e22)) = (op2 (e20) (e20)))).
% 83.65/83.87 intro zenon_D_pnotp.
% 83.65/83.87 apply zenon_H55c.
% 83.65/83.87 rewrite <- zenon_D_pnotp.
% 83.65/83.87 exact zenon_H78.
% 83.65/83.87 cut (((op2 (e20) (e20)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H84].
% 83.65/83.87 cut (((e22) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H55d].
% 83.65/83.87 congruence.
% 83.65/83.87 elim (classic ((op2 (e20) (e22)) = (op2 (e20) (e22)))); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc5 ].
% 83.65/83.87 cut (((op2 (e20) (e22)) = (op2 (e20) (e22))) = ((e22) = (op2 (e20) (e22)))).
% 83.65/83.87 intro zenon_D_pnotp.
% 83.65/83.87 apply zenon_H55d.
% 83.65/83.87 rewrite <- zenon_D_pnotp.
% 83.65/83.87 exact zenon_Hc4.
% 83.65/83.87 cut (((op2 (e20) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hc5].
% 83.65/83.87 cut (((op2 (e20) (e22)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H55e].
% 83.65/83.87 congruence.
% 83.65/83.87 exact (zenon_H55e zenon_H55a).
% 83.65/83.87 apply zenon_Hc5. apply refl_equal.
% 83.65/83.87 apply zenon_Hc5. apply refl_equal.
% 83.65/83.87 apply zenon_H84. apply refl_equal.
% 83.65/83.87 apply zenon_Hc5. apply refl_equal.
% 83.65/83.87 apply zenon_Hc5. apply refl_equal.
% 83.65/83.87 (* end of lemma zenon_L654_ *)
% 83.65/83.87 assert (zenon_L655_ : (~((op2 (e20) (op2 (e20) (e20))) = (op2 (op2 (e21) (e22)) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> ((op2 (e21) (e22)) = (e20)) -> False).
% 83.65/83.87 do 0 intro. intros zenon_H55f zenon_H78 zenon_H120.
% 83.65/83.87 cut (((op2 (e20) (e20)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H79].
% 83.65/83.87 cut (((e20) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H560].
% 83.65/83.87 congruence.
% 83.65/83.87 apply zenon_H560. apply sym_equal. exact zenon_H120.
% 83.65/83.87 apply zenon_H79. apply sym_equal. exact zenon_H78.
% 83.65/83.87 (* end of lemma zenon_L655_ *)
% 83.65/83.87 assert (zenon_L656_ : ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> ((op2 (e21) (e22)) = (e20)) -> (~((op2 (op2 (e21) (e22)) (e22)) = (e21))) -> False).
% 83.65/83.87 do 0 intro. intros zenon_H7a zenon_H78 zenon_H120 zenon_H561.
% 83.65/83.87 elim (classic ((e21) = (e21))); [ zenon_intro zenon_Hae | zenon_intro zenon_Haf ].
% 83.65/83.87 cut (((e21) = (e21)) = ((op2 (op2 (e21) (e22)) (e22)) = (e21))).
% 83.65/83.87 intro zenon_D_pnotp.
% 83.65/83.87 apply zenon_H561.
% 83.65/83.87 rewrite <- zenon_D_pnotp.
% 83.65/83.87 exact zenon_Hae.
% 83.65/83.87 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Haf].
% 83.65/83.87 cut (((e21) = (op2 (op2 (e21) (e22)) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H562].
% 83.65/83.87 congruence.
% 83.65/83.87 cut (((e21) = (op2 (e20) (op2 (e20) (e20)))) = ((e21) = (op2 (op2 (e21) (e22)) (e22)))).
% 83.65/83.87 intro zenon_D_pnotp.
% 83.65/83.87 apply zenon_H562.
% 83.65/83.87 rewrite <- zenon_D_pnotp.
% 83.65/83.87 exact zenon_H7a.
% 83.65/83.87 cut (((op2 (e20) (op2 (e20) (e20))) = (op2 (op2 (e21) (e22)) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H55f].
% 83.65/83.87 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Haf].
% 83.65/83.87 congruence.
% 83.65/83.87 apply zenon_Haf. apply refl_equal.
% 83.65/83.87 apply (zenon_L655_); trivial.
% 83.65/83.87 apply zenon_Haf. apply refl_equal.
% 83.65/83.87 apply zenon_Haf. apply refl_equal.
% 83.65/83.87 (* end of lemma zenon_L656_ *)
% 83.65/83.87 assert (zenon_L657_ : (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (op2 (e21) (e22)) (e22)) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((op2 (e23) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (e20)) = (e23)) -> False).
% 83.65/83.87 do 0 intro. intros zenon_H12c zenon_H561 zenon_H124 zenon_H78 zenon_H7a zenon_H50d zenon_H11f zenon_H129 zenon_Hd5.
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H120 | zenon_intro zenon_H12d ].
% 83.65/83.87 apply (zenon_L656_); trivial.
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H123 | zenon_intro zenon_H12e ].
% 83.65/83.87 apply (zenon_L71_); trivial.
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H12a ].
% 83.65/83.87 apply (zenon_L598_); trivial.
% 83.65/83.87 apply (zenon_L72_); trivial.
% 83.65/83.87 (* end of lemma zenon_L657_ *)
% 83.65/83.87 assert (zenon_L658_ : (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e21) (op2 (e21) (e22))) = (e22))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (op2 (e21) (e22)) (e22)) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (e20)) = (e23)) -> False).
% 83.65/83.87 do 0 intro. intros zenon_H563 zenon_H55b zenon_H556 zenon_Hf7 zenon_H12c zenon_H561 zenon_H124 zenon_H78 zenon_H7a zenon_H11f zenon_H129 zenon_Hd5.
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H563); [ zenon_intro zenon_H55a | zenon_intro zenon_H564 ].
% 83.65/83.87 apply (zenon_L654_); trivial.
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H564); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H565 ].
% 83.65/83.87 apply (zenon_L653_); trivial.
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H565); [ zenon_intro zenon_Hf9 | zenon_intro zenon_H50d ].
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H120 | zenon_intro zenon_H12d ].
% 83.65/83.87 apply (zenon_L656_); trivial.
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H123 | zenon_intro zenon_H12e ].
% 83.65/83.87 apply (zenon_L71_); trivial.
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H12a ].
% 83.65/83.87 apply (zenon_L59_); trivial.
% 83.65/83.87 apply (zenon_L72_); trivial.
% 83.65/83.87 apply (zenon_L657_); trivial.
% 83.65/83.87 (* end of lemma zenon_L658_ *)
% 83.65/83.87 assert (zenon_L659_ : (~((op2 (e21) (op2 (e21) (e22))) = (e22))) -> ((op2 (e21) (e23)) = (e22)) -> ((op2 (e21) (e22)) = (e23)) -> False).
% 83.65/83.87 do 0 intro. intros zenon_H556 zenon_H130 zenon_H12a.
% 83.65/83.87 cut (((op2 (e21) (e23)) = (e22)) = ((op2 (e21) (op2 (e21) (e22))) = (e22))).
% 83.65/83.87 intro zenon_D_pnotp.
% 83.65/83.87 apply zenon_H556.
% 83.65/83.87 rewrite <- zenon_D_pnotp.
% 83.65/83.87 exact zenon_H130.
% 83.65/83.87 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Ha1].
% 83.65/83.87 cut (((op2 (e21) (e23)) = (op2 (e21) (op2 (e21) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H566].
% 83.65/83.87 congruence.
% 83.65/83.87 elim (classic ((op2 (e21) (op2 (e21) (e22))) = (op2 (e21) (op2 (e21) (e22))))); [ zenon_intro zenon_H557 | zenon_intro zenon_H558 ].
% 83.65/83.87 cut (((op2 (e21) (op2 (e21) (e22))) = (op2 (e21) (op2 (e21) (e22)))) = ((op2 (e21) (e23)) = (op2 (e21) (op2 (e21) (e22))))).
% 83.65/83.87 intro zenon_D_pnotp.
% 83.65/83.87 apply zenon_H566.
% 83.65/83.87 rewrite <- zenon_D_pnotp.
% 83.65/83.87 exact zenon_H557.
% 83.65/83.87 cut (((op2 (e21) (op2 (e21) (e22))) = (op2 (e21) (op2 (e21) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H558].
% 83.65/83.87 cut (((op2 (e21) (op2 (e21) (e22))) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H567].
% 83.65/83.87 congruence.
% 83.65/83.87 cut (((op2 (e21) (e22)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H479].
% 83.65/83.87 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Haf].
% 83.65/83.87 congruence.
% 83.65/83.87 apply zenon_Haf. apply refl_equal.
% 83.65/83.87 exact (zenon_H479 zenon_H12a).
% 83.65/83.87 apply zenon_H558. apply refl_equal.
% 83.65/83.87 apply zenon_H558. apply refl_equal.
% 83.65/83.87 apply zenon_Ha1. apply refl_equal.
% 83.65/83.87 (* end of lemma zenon_L659_ *)
% 83.65/83.87 assert (zenon_L660_ : (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (op2 (e21) (e22)) (e22)) = (e21))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((op2 (e21) (op2 (e21) (e22))) = (e22))) -> ((op2 (e21) (e23)) = (e22)) -> (~((e22) = (e23))) -> False).
% 83.65/83.87 do 0 intro. intros zenon_H482 zenon_H129 zenon_H11f zenon_H78 zenon_H124 zenon_H561 zenon_H12c zenon_Hf7 zenon_H55b zenon_H563 zenon_H472 zenon_H7a zenon_H5d zenon_H556 zenon_H130 zenon_H47f.
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H482); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H483 ].
% 83.65/83.87 apply (zenon_L658_); trivial.
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H483); [ zenon_intro zenon_H471 | zenon_intro zenon_H484 ].
% 83.65/83.87 apply (zenon_L529_); trivial.
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H484); [ zenon_intro zenon_H12a | zenon_intro zenon_H47e ].
% 83.65/83.87 apply (zenon_L659_); trivial.
% 83.65/83.87 apply (zenon_L532_); trivial.
% 83.65/83.87 (* end of lemma zenon_L660_ *)
% 83.65/83.87 assert (zenon_L661_ : (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((e21) = (e22))) -> ((op2 (e21) (e21)) = (e21)) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (op2 (e21) (e22)) (e22)) = (e21))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((op2 (e21) (op2 (e21) (e22))) = (e22))) -> (~((e22) = (e23))) -> False).
% 83.65/83.87 do 0 intro. intros zenon_H142 zenon_Hdc zenon_Ha8 zenon_He1 zenon_H482 zenon_H129 zenon_H11f zenon_H78 zenon_H124 zenon_H561 zenon_H12c zenon_Hf7 zenon_H55b zenon_H563 zenon_H472 zenon_H7a zenon_H5d zenon_H556 zenon_H47f.
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 83.65/83.87 apply (zenon_L53_); trivial.
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_He2 | zenon_intro zenon_H146 ].
% 83.65/83.87 apply (zenon_L54_); trivial.
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H130 ].
% 83.65/83.87 apply (zenon_L653_); trivial.
% 83.65/83.87 apply (zenon_L660_); trivial.
% 83.65/83.87 (* end of lemma zenon_L661_ *)
% 83.65/83.87 assert (zenon_L662_ : (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> ((op2 (e21) (e21)) = (e21)) -> (~((op2 (e21) (op2 (e21) (e22))) = (e22))) -> ((op2 (e21) (e23)) = (e21)) -> (~((e21) = (e22))) -> False).
% 83.65/83.87 do 0 intro. intros zenon_H142 zenon_Hdc zenon_H78 zenon_He1 zenon_H556 zenon_H13c zenon_Ha8.
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 83.65/83.87 apply (zenon_L53_); trivial.
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_He2 | zenon_intro zenon_H146 ].
% 83.65/83.87 apply (zenon_L54_); trivial.
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H130 ].
% 83.65/83.87 apply (zenon_L653_); trivial.
% 83.65/83.87 apply (zenon_L77_); trivial.
% 83.65/83.87 (* end of lemma zenon_L662_ *)
% 83.65/83.87 assert (zenon_L663_ : (~((op2 (e23) (e21)) = (op2 (op2 (e21) (e22)) (e21)))) -> ((op2 (e21) (e22)) = (e23)) -> False).
% 83.65/83.87 do 0 intro. intros zenon_H568 zenon_H12a.
% 83.65/83.87 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Haf].
% 83.65/83.87 cut (((e23) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H12b].
% 83.65/83.87 congruence.
% 83.65/83.87 apply zenon_H12b. apply sym_equal. exact zenon_H12a.
% 83.65/83.87 apply zenon_Haf. apply refl_equal.
% 83.65/83.87 (* end of lemma zenon_L663_ *)
% 83.65/83.87 assert (zenon_L664_ : (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (op2 (e21) (e22)) (e21)) = (e22)) -> ((op2 (e21) (e22)) = (e23)) -> ((op2 (e23) (e22)) = (e22)) -> False).
% 83.65/83.87 do 0 intro. intros zenon_H50f zenon_H569 zenon_H12a zenon_H50d.
% 83.65/83.87 cut (((op2 (op2 (e21) (e22)) (e21)) = (e22)) = ((op2 (e23) (e21)) = (op2 (e23) (e22)))).
% 83.65/83.87 intro zenon_D_pnotp.
% 83.65/83.87 apply zenon_H50f.
% 83.65/83.87 rewrite <- zenon_D_pnotp.
% 83.65/83.87 exact zenon_H569.
% 83.65/83.87 cut (((e22) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H50e].
% 83.65/83.87 cut (((op2 (op2 (e21) (e22)) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H56a].
% 83.65/83.87 congruence.
% 83.65/83.87 elim (classic ((op2 (e23) (e21)) = (op2 (e23) (e21)))); [ zenon_intro zenon_H49d | zenon_intro zenon_H49e ].
% 83.65/83.87 cut (((op2 (e23) (e21)) = (op2 (e23) (e21))) = ((op2 (op2 (e21) (e22)) (e21)) = (op2 (e23) (e21)))).
% 83.65/83.87 intro zenon_D_pnotp.
% 83.65/83.87 apply zenon_H56a.
% 83.65/83.87 rewrite <- zenon_D_pnotp.
% 83.65/83.87 exact zenon_H49d.
% 83.65/83.87 cut (((op2 (e23) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H49e].
% 83.65/83.87 cut (((op2 (e23) (e21)) = (op2 (op2 (e21) (e22)) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H568].
% 83.65/83.87 congruence.
% 83.65/83.87 apply (zenon_L663_); trivial.
% 83.65/83.87 apply zenon_H49e. apply refl_equal.
% 83.65/83.87 apply zenon_H49e. apply refl_equal.
% 83.65/83.87 apply zenon_H50e. apply sym_equal. exact zenon_H50d.
% 83.65/83.87 (* end of lemma zenon_L664_ *)
% 83.65/83.87 assert (zenon_L665_ : (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (op2 (e21) (e22)) (e21)) = (e22)) -> ((op2 (e21) (e22)) = (e23)) -> ((op2 (e23) (e23)) = (e22)) -> False).
% 83.65/83.87 do 0 intro. intros zenon_H4fb zenon_H569 zenon_H12a zenon_H4fc.
% 83.65/83.87 cut (((op2 (op2 (e21) (e22)) (e21)) = (e22)) = ((op2 (e23) (e21)) = (op2 (e23) (e23)))).
% 83.65/83.87 intro zenon_D_pnotp.
% 83.65/83.87 apply zenon_H4fb.
% 83.65/83.87 rewrite <- zenon_D_pnotp.
% 83.65/83.87 exact zenon_H569.
% 83.65/83.87 cut (((e22) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H4fd].
% 83.65/83.87 cut (((op2 (op2 (e21) (e22)) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H56a].
% 83.65/83.87 congruence.
% 83.65/83.87 elim (classic ((op2 (e23) (e21)) = (op2 (e23) (e21)))); [ zenon_intro zenon_H49d | zenon_intro zenon_H49e ].
% 83.65/83.87 cut (((op2 (e23) (e21)) = (op2 (e23) (e21))) = ((op2 (op2 (e21) (e22)) (e21)) = (op2 (e23) (e21)))).
% 83.65/83.87 intro zenon_D_pnotp.
% 83.65/83.87 apply zenon_H56a.
% 83.65/83.87 rewrite <- zenon_D_pnotp.
% 83.65/83.87 exact zenon_H49d.
% 83.65/83.87 cut (((op2 (e23) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H49e].
% 83.65/83.87 cut (((op2 (e23) (e21)) = (op2 (op2 (e21) (e22)) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H568].
% 83.65/83.87 congruence.
% 83.65/83.87 apply (zenon_L663_); trivial.
% 83.65/83.87 apply zenon_H49e. apply refl_equal.
% 83.65/83.87 apply zenon_H49e. apply refl_equal.
% 83.65/83.87 apply zenon_H4fd. apply sym_equal. exact zenon_H4fc.
% 83.65/83.87 (* end of lemma zenon_L665_ *)
% 83.65/83.87 assert (zenon_L666_ : (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (op2 (e21) (e22)) (e22)) = (e21))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (op2 (e21) (e22))) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((op2 (op2 (e21) (e22)) (e21)) = (e22)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e21)) = (e21)) -> (~((e21) = (e22))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e21) (e23)) = (e21)) -> (~((e21) = (e23))) -> False).
% 83.65/83.87 do 0 intro. intros zenon_H482 zenon_H129 zenon_H11f zenon_H124 zenon_H561 zenon_H12c zenon_Hf7 zenon_H556 zenon_H55b zenon_H563 zenon_H472 zenon_H7a zenon_H5d zenon_H569 zenon_H4fb zenon_H50f zenon_H10e zenon_Ha8 zenon_H78 zenon_H509 zenon_H518 zenon_H13c zenon_Hd6.
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H482); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H483 ].
% 83.65/83.87 apply (zenon_L658_); trivial.
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H483); [ zenon_intro zenon_H471 | zenon_intro zenon_H484 ].
% 83.65/83.87 apply (zenon_L529_); trivial.
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H484); [ zenon_intro zenon_H12a | zenon_intro zenon_H47e ].
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H518); [ zenon_intro zenon_H508 | zenon_intro zenon_H519 ].
% 83.65/83.87 apply (zenon_L597_); trivial.
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H519); [ zenon_intro zenon_H10f | zenon_intro zenon_H51a ].
% 83.65/83.87 apply (zenon_L65_); trivial.
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H51a); [ zenon_intro zenon_H50d | zenon_intro zenon_H4fc ].
% 83.65/83.87 apply (zenon_L664_); trivial.
% 83.65/83.87 apply (zenon_L665_); trivial.
% 83.65/83.87 apply (zenon_L606_); trivial.
% 83.65/83.87 (* end of lemma zenon_L666_ *)
% 83.65/83.87 assert (zenon_L667_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((e22) = (e23))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (op2 (e21) (e22)) (e22)) = (e21))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (op2 (e21) (e22))) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((op2 (op2 (e21) (e22)) (e21)) = (e22)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((e21) = (e22))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e21) = (e23))) -> False).
% 83.65/83.87 do 0 intro. intros zenon_H140 zenon_H554 zenon_H47f zenon_H141 zenon_Hc3 zenon_Hdc zenon_H142 zenon_Hbb zenon_H48b zenon_H482 zenon_H129 zenon_H11f zenon_H124 zenon_H561 zenon_H12c zenon_Hf7 zenon_H556 zenon_H55b zenon_H563 zenon_H472 zenon_H7a zenon_H5d zenon_H569 zenon_H4fb zenon_H50f zenon_Ha8 zenon_H78 zenon_H509 zenon_H518 zenon_Hd6.
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ].
% 83.65/83.87 apply (zenon_L652_); trivial.
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ].
% 83.65/83.87 apply (zenon_L661_); trivial.
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ].
% 83.65/83.87 apply (zenon_L71_); trivial.
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H139 | zenon_intro zenon_H147 ].
% 83.65/83.87 apply (zenon_L76_); trivial.
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_He1 | zenon_intro zenon_H148 ].
% 83.65/83.87 apply (zenon_L662_); trivial.
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_He5 | zenon_intro zenon_H10e ].
% 83.65/83.87 apply (zenon_L591_); trivial.
% 83.65/83.87 apply (zenon_L666_); trivial.
% 83.65/83.87 (* end of lemma zenon_L667_ *)
% 83.65/83.87 assert (zenon_L668_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e21) (e20)) = (e23)) -> (~((e20) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> (~((e20) = (e22))) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e21) (op2 (e21) (e22))) = (e22))) -> (~((e21) = (e22))) -> False).
% 83.65/83.87 do 0 intro. intros zenon_H140 zenon_Hd6 zenon_Hd5 zenon_Had zenon_H124 zenon_H7a zenon_H142 zenon_Hdc zenon_H78 zenon_Ha3 zenon_Hd2 zenon_H556 zenon_Ha8.
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ].
% 83.65/83.87 apply (zenon_L52_); trivial.
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ].
% 83.65/83.87 apply (zenon_L536_); trivial.
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ].
% 83.65/83.87 apply (zenon_L71_); trivial.
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 83.65/83.87 apply (zenon_L53_); trivial.
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_He2 | zenon_intro zenon_H146 ].
% 83.65/83.87 apply (zenon_L537_); trivial.
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H130 ].
% 83.65/83.87 apply (zenon_L653_); trivial.
% 83.65/83.87 apply (zenon_L77_); trivial.
% 83.65/83.87 (* end of lemma zenon_L668_ *)
% 83.65/83.87 assert (zenon_L669_ : (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((e21) = (e22))) -> ((op2 (e21) (e21)) = (e20)) -> (~((e20) = (e22))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((e20) = (e21))) -> (~((e21) = (e23))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((op2 (e21) (op2 (e21) (e22))) = (e22))) -> (~((e22) = (e23))) -> False).
% 83.65/83.87 do 0 intro. intros zenon_H482 zenon_Ha8 zenon_Hd2 zenon_Ha3 zenon_H78 zenon_Hdc zenon_H142 zenon_H124 zenon_Had zenon_Hd6 zenon_H140 zenon_H472 zenon_H7a zenon_H5d zenon_H556 zenon_H47f.
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 83.65/83.87 apply (zenon_L53_); trivial.
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_He2 | zenon_intro zenon_H146 ].
% 83.65/83.87 apply (zenon_L537_); trivial.
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H130 ].
% 83.65/83.87 apply (zenon_L653_); trivial.
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H482); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H483 ].
% 83.65/83.87 apply (zenon_L668_); trivial.
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H483); [ zenon_intro zenon_H471 | zenon_intro zenon_H484 ].
% 83.65/83.87 apply (zenon_L529_); trivial.
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H484); [ zenon_intro zenon_H12a | zenon_intro zenon_H47e ].
% 83.65/83.87 apply (zenon_L659_); trivial.
% 83.65/83.87 apply (zenon_L532_); trivial.
% 83.65/83.87 (* end of lemma zenon_L669_ *)
% 83.65/83.87 assert (zenon_L670_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((op2 (e21) (e20)) = (e20)) -> (~((e22) = (e23))) -> (~((op2 (e21) (op2 (e21) (e22))) = (e22))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (op2 (e21) (e22)) (e22)) = (e21))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e21) = (e22))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e22) (e20)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> (~((e20) = (e22))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((e20) = (e21))) -> ((op2 (e22) (e21)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e20)) = (e21)) -> False).
% 83.65/83.87 do 0 intro. intros zenon_H140 zenon_Hab zenon_H47f zenon_H556 zenon_H5d zenon_H472 zenon_H563 zenon_H55b zenon_H12c zenon_H561 zenon_H11f zenon_H129 zenon_H482 zenon_H124 zenon_H141 zenon_Hc3 zenon_Ha8 zenon_H102 zenon_Hd6 zenon_H152 zenon_He8 zenon_H7a zenon_Hff zenon_Hef zenon_H78 zenon_Ha3 zenon_Hf7 zenon_Hdc zenon_H142 zenon_Had zenon_He4 zenon_H13e zenon_H10c.
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ].
% 83.65/83.87 apply (zenon_L42_); trivial.
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ].
% 83.65/83.87 apply (zenon_L661_); trivial.
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ].
% 83.65/83.87 apply (zenon_L71_); trivial.
% 83.65/83.87 apply (zenon_L518_); trivial.
% 83.65/83.87 (* end of lemma zenon_L670_ *)
% 83.65/83.87 assert (zenon_L671_ : (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> (~((e20) = (e22))) -> ((op2 (e23) (e21)) = (e20)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (op2 (e21) (e22)) (e21)) = (e22)) -> ((op2 (e21) (e22)) = (e23)) -> False).
% 83.65/83.87 do 0 intro. intros zenon_H518 zenon_H509 zenon_H78 zenon_Ha3 zenon_H11e zenon_H50f zenon_H4fb zenon_H569 zenon_H12a.
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H518); [ zenon_intro zenon_H508 | zenon_intro zenon_H519 ].
% 83.65/83.87 apply (zenon_L597_); trivial.
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H519); [ zenon_intro zenon_H10f | zenon_intro zenon_H51a ].
% 83.65/83.87 apply (zenon_L69_); trivial.
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H51a); [ zenon_intro zenon_H50d | zenon_intro zenon_H4fc ].
% 83.65/83.87 apply (zenon_L664_); trivial.
% 83.65/83.87 apply (zenon_L665_); trivial.
% 83.65/83.87 (* end of lemma zenon_L671_ *)
% 83.65/83.87 assert (zenon_L672_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e20) = (e21))) -> ((op2 (e21) (e20)) = (e20)) -> (~((e22) = (e23))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (op2 (e21) (e22)) (e22)) = (e21))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (op2 (e21) (e22))) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((op2 (op2 (e21) (e22)) (e21)) = (e22)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e21)) = (e20)) -> (~((e20) = (e22))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e21) = (e23))) -> False).
% 83.65/83.87 do 0 intro. intros zenon_H140 zenon_Had zenon_Hab zenon_H47f zenon_Ha8 zenon_Hdc zenon_H142 zenon_H482 zenon_H129 zenon_H11f zenon_H124 zenon_H561 zenon_H12c zenon_Hf7 zenon_H556 zenon_H55b zenon_H563 zenon_H472 zenon_H7a zenon_H5d zenon_H569 zenon_H4fb zenon_H50f zenon_H11e zenon_Ha3 zenon_H78 zenon_H509 zenon_H518 zenon_Hd6.
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ].
% 83.65/83.87 apply (zenon_L42_); trivial.
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ].
% 83.65/83.87 apply (zenon_L661_); trivial.
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ].
% 83.65/83.87 apply (zenon_L71_); trivial.
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H482); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H483 ].
% 83.65/83.87 apply (zenon_L658_); trivial.
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H483); [ zenon_intro zenon_H471 | zenon_intro zenon_H484 ].
% 83.65/83.87 apply (zenon_L529_); trivial.
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H484); [ zenon_intro zenon_H12a | zenon_intro zenon_H47e ].
% 83.65/83.87 apply (zenon_L671_); trivial.
% 83.65/83.87 apply (zenon_L606_); trivial.
% 83.65/83.87 (* end of lemma zenon_L672_ *)
% 83.65/83.87 assert (zenon_L673_ : (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> ((op2 (e21) (e20)) = (e21)) -> (~((e22) = (e23))) -> (~((op2 (e21) (op2 (e21) (e22))) = (e22))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e21) = (e23))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((e20) = (e22))) -> (~((e21) = (e22))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (op2 (e21) (e22)) (e22)) = (e21))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.65/83.87 do 0 intro. intros zenon_H48e zenon_Hac zenon_H47f zenon_H556 zenon_H472 zenon_H140 zenon_Hd6 zenon_Had zenon_H124 zenon_H142 zenon_Hdc zenon_Ha3 zenon_Ha8 zenon_H482 zenon_H561 zenon_H8e zenon_H73 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a.
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H48e); [ zenon_intro zenon_Hab | zenon_intro zenon_H494 ].
% 83.65/83.87 apply (zenon_L42_); trivial.
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H494); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H495 ].
% 83.65/83.87 apply (zenon_L669_); trivial.
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H495); [ zenon_intro zenon_H120 | zenon_intro zenon_H74 ].
% 83.65/83.87 apply (zenon_L656_); trivial.
% 83.65/83.87 apply (zenon_L32_); trivial.
% 83.65/83.87 (* end of lemma zenon_L673_ *)
% 83.65/83.87 assert (zenon_L674_ : (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (op2 (e21) (e22)) (e22)) = (e21))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (op2 (e21) (e22))) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((e20) = (e23))) -> ((op2 (e22) (e20)) = (e20)) -> ((op2 (e23) (e20)) = (e21)) -> (~((e21) = (e23))) -> False).
% 83.65/83.87 do 0 intro. intros zenon_H15c zenon_H5d zenon_Hb2 zenon_H129 zenon_H11f zenon_H7a zenon_H78 zenon_H124 zenon_H561 zenon_H12c zenon_Hf7 zenon_H556 zenon_H55b zenon_H563 zenon_H21e zenon_H21d zenon_H10c zenon_Hd6.
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ].
% 83.65/83.87 apply (zenon_L43_); trivial.
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ].
% 83.65/83.87 apply (zenon_L658_); trivial.
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ].
% 83.65/83.87 apply (zenon_L139_); trivial.
% 83.65/83.87 apply (zenon_L88_); trivial.
% 83.65/83.87 (* end of lemma zenon_L674_ *)
% 83.65/83.87 assert (zenon_L675_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((e21) = (e22))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((e22) = (e23))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((e20) = (e21))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (op2 (e21) (e22)) (e22)) = (e21))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (op2 (e21) (e22))) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((e20) = (e23))) -> ((op2 (e22) (e20)) = (e20)) -> (~((e21) = (e23))) -> False).
% 83.65/83.87 do 0 intro. intros zenon_H15b zenon_H8a zenon_H82 zenon_H7c zenon_H73 zenon_H8e zenon_H482 zenon_Ha8 zenon_Ha3 zenon_Hdc zenon_H142 zenon_H140 zenon_H472 zenon_H47f zenon_H48e zenon_Had zenon_H15c zenon_H5d zenon_Hb2 zenon_H129 zenon_H11f zenon_H7a zenon_H78 zenon_H124 zenon_H561 zenon_H12c zenon_Hf7 zenon_H556 zenon_H55b zenon_H563 zenon_H21e zenon_H21d zenon_Hd6.
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.65/83.87 apply (zenon_L41_); trivial.
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.65/83.87 apply (zenon_L673_); trivial.
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.65/83.87 apply (zenon_L152_); trivial.
% 83.65/83.87 apply (zenon_L674_); trivial.
% 83.65/83.87 (* end of lemma zenon_L675_ *)
% 83.65/83.87 assert (zenon_L676_ : (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (op2 (e21) (e22)) (e22)) = (e21))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (op2 (e21) (e22))) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((e21) = (e23))) -> ((op2 (e22) (e20)) = (e21)) -> ((op2 (e23) (e20)) = (e20)) -> (~((e20) = (e23))) -> False).
% 83.65/83.87 do 0 intro. intros zenon_H15c zenon_H5d zenon_Hb2 zenon_H129 zenon_H11f zenon_H7a zenon_H78 zenon_H124 zenon_H561 zenon_H12c zenon_Hf7 zenon_H556 zenon_H55b zenon_H563 zenon_Hd6 zenon_Hbb zenon_H10b zenon_H21e.
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ].
% 83.65/83.87 apply (zenon_L43_); trivial.
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ].
% 83.65/83.87 apply (zenon_L658_); trivial.
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ].
% 83.65/83.87 apply (zenon_L83_); trivial.
% 83.65/83.87 apply (zenon_L630_); trivial.
% 83.65/83.87 (* end of lemma zenon_L676_ *)
% 83.65/83.87 assert (zenon_L677_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((e21) = (e22))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((e22) = (e23))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((e20) = (e23))) -> (~((e21) = (e23))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e21) (op2 (e21) (e22))) = (e22))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (op2 (e21) (e22)) (e22)) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> ((op2 (e23) (e20)) = (e20)) -> (~((e20) = (e21))) -> False).
% 83.65/83.87 do 0 intro. intros zenon_H15b zenon_H8a zenon_H82 zenon_H7c zenon_H73 zenon_H8e zenon_H482 zenon_Ha8 zenon_Ha3 zenon_Hdc zenon_H142 zenon_H140 zenon_H472 zenon_H47f zenon_H48e zenon_H21e zenon_Hd6 zenon_H563 zenon_H55b zenon_H556 zenon_Hf7 zenon_H12c zenon_H561 zenon_H124 zenon_H78 zenon_H7a zenon_H11f zenon_H129 zenon_Hb2 zenon_H5d zenon_H15c zenon_H10b zenon_Had.
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.65/83.87 apply (zenon_L41_); trivial.
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.65/83.87 apply (zenon_L673_); trivial.
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.65/83.87 apply (zenon_L676_); trivial.
% 83.65/83.87 apply (zenon_L64_); trivial.
% 83.65/83.87 (* end of lemma zenon_L677_ *)
% 83.65/83.87 assert (zenon_L678_ : ((~((op2 (e21) (op2 (e21) (e22))) = (e22)))/\(((op2 (op2 (e21) (e22)) (e21)) = (e22))/\(~((op2 (op2 (e21) (e22)) (e22)) = (e21))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((e21) = (e22))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((e22) = (e23))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((e20) = (e23))) -> (~((e21) = (e23))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((e20) = (e21))) -> False).
% 83.65/83.87 do 0 intro. intros zenon_H56b zenon_H48d zenon_H14f zenon_H94 zenon_H91 zenon_Hce zenon_H13e zenon_Hef zenon_Hff zenon_He8 zenon_H102 zenon_Hc3 zenon_H141 zenon_H4fb zenon_H50f zenon_H509 zenon_H518 zenon_H554 zenon_H48b zenon_H15b zenon_H8a zenon_H82 zenon_H7c zenon_H73 zenon_H8e zenon_H482 zenon_Ha8 zenon_Ha3 zenon_Hdc zenon_H142 zenon_H140 zenon_H472 zenon_H47f zenon_H48e zenon_H21e zenon_Hd6 zenon_H563 zenon_H55b zenon_Hf7 zenon_H12c zenon_H124 zenon_H78 zenon_H7a zenon_H11f zenon_H129 zenon_Hb2 zenon_H5d zenon_H15c zenon_Had.
% 83.65/83.87 apply (zenon_and_s _ _ zenon_H56b). zenon_intro zenon_H556. zenon_intro zenon_H56c.
% 83.65/83.87 apply (zenon_and_s _ _ zenon_H56c). zenon_intro zenon_H569. zenon_intro zenon_H561.
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.65/83.87 apply (zenon_L40_); trivial.
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.65/83.87 apply (zenon_L41_); trivial.
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.65/83.87 apply (zenon_L42_); trivial.
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.65/83.87 apply (zenon_L667_); trivial.
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ].
% 83.65/83.87 apply (zenon_L43_); trivial.
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ].
% 83.65/83.87 apply (zenon_L658_); trivial.
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ].
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ].
% 83.65/83.87 apply (zenon_L49_); trivial.
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ].
% 83.65/83.87 apply (zenon_L669_); trivial.
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ].
% 83.65/83.87 apply (zenon_L670_); trivial.
% 83.65/83.87 apply (zenon_L672_); trivial.
% 83.65/83.87 apply (zenon_L88_); trivial.
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.65/83.87 apply (zenon_L675_); trivial.
% 83.65/83.87 apply (zenon_L677_); trivial.
% 83.65/83.87 (* end of lemma zenon_L678_ *)
% 83.65/83.87 assert (zenon_L679_ : ((op2 (op2 (e21) (e23)) (e21)) = (e23)) -> ((op2 (e21) (e23)) = (e21)) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> False).
% 83.65/83.87 do 0 intro. intros zenon_H56d zenon_H13c zenon_Hb8 zenon_H472.
% 83.65/83.87 elim (classic ((op2 (e21) (e21)) = (op2 (e21) (e21)))); [ zenon_intro zenon_H473 | zenon_intro zenon_H474 ].
% 83.65/83.87 cut (((op2 (e21) (e21)) = (op2 (e21) (e21))) = ((op2 (e20) (e21)) = (op2 (e21) (e21)))).
% 83.65/83.87 intro zenon_D_pnotp.
% 83.65/83.87 apply zenon_H472.
% 83.65/83.87 rewrite <- zenon_D_pnotp.
% 83.65/83.87 exact zenon_H473.
% 83.65/83.87 cut (((op2 (e21) (e21)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H474].
% 83.65/83.87 cut (((op2 (e21) (e21)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H475].
% 83.65/83.87 congruence.
% 83.65/83.87 cut (((op2 (op2 (e21) (e23)) (e21)) = (e23)) = ((op2 (e21) (e21)) = (op2 (e20) (e21)))).
% 83.65/83.87 intro zenon_D_pnotp.
% 83.65/83.87 apply zenon_H475.
% 83.65/83.87 rewrite <- zenon_D_pnotp.
% 83.65/83.87 exact zenon_H56d.
% 83.65/83.87 cut (((e23) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_Hb9].
% 83.65/83.87 cut (((op2 (op2 (e21) (e23)) (e21)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H56e].
% 83.65/83.87 congruence.
% 83.65/83.87 elim (classic ((op2 (e21) (e21)) = (op2 (e21) (e21)))); [ zenon_intro zenon_H473 | zenon_intro zenon_H474 ].
% 83.65/83.87 cut (((op2 (e21) (e21)) = (op2 (e21) (e21))) = ((op2 (op2 (e21) (e23)) (e21)) = (op2 (e21) (e21)))).
% 83.65/83.87 intro zenon_D_pnotp.
% 83.65/83.87 apply zenon_H56e.
% 83.65/83.87 rewrite <- zenon_D_pnotp.
% 83.65/83.87 exact zenon_H473.
% 83.65/83.87 cut (((op2 (e21) (e21)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H474].
% 83.65/83.87 cut (((op2 (e21) (e21)) = (op2 (op2 (e21) (e23)) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H56f].
% 83.65/83.87 congruence.
% 83.65/83.87 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Haf].
% 83.65/83.87 cut (((e21) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H570].
% 83.65/83.87 congruence.
% 83.65/83.87 apply zenon_H570. apply sym_equal. exact zenon_H13c.
% 83.65/83.87 apply zenon_Haf. apply refl_equal.
% 83.65/83.87 apply zenon_H474. apply refl_equal.
% 83.65/83.87 apply zenon_H474. apply refl_equal.
% 83.65/83.87 apply zenon_Hb9. apply sym_equal. exact zenon_Hb8.
% 83.65/83.87 apply zenon_H474. apply refl_equal.
% 83.65/83.87 apply zenon_H474. apply refl_equal.
% 83.65/83.87 (* end of lemma zenon_L679_ *)
% 83.65/83.87 assert (zenon_L680_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e22) (e20)) = (e21)) -> (~((e20) = (e21))) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((op2 (op2 (e21) (e23)) (e21)) = (e23)) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> False).
% 83.65/83.87 do 0 intro. intros zenon_H140 zenon_H554 zenon_Hbb zenon_Had zenon_Hd2 zenon_H124 zenon_H78 zenon_H7a zenon_H56d zenon_Hb8 zenon_H472.
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ].
% 83.65/83.87 apply (zenon_L652_); trivial.
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ].
% 83.65/83.87 apply (zenon_L536_); trivial.
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ].
% 83.65/83.87 apply (zenon_L71_); trivial.
% 83.65/83.87 apply (zenon_L679_); trivial.
% 83.65/83.87 (* end of lemma zenon_L680_ *)
% 83.65/83.87 assert (zenon_L681_ : (~((op2 (e22) (e21)) = (op2 (op2 (e21) (e23)) (e21)))) -> ((op2 (e21) (e23)) = (e22)) -> False).
% 83.65/83.87 do 0 intro. intros zenon_H571 zenon_H130.
% 83.65/83.87 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Haf].
% 83.65/83.87 cut (((e22) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H52a].
% 83.65/83.87 congruence.
% 83.65/83.87 apply zenon_H52a. apply sym_equal. exact zenon_H130.
% 83.65/83.87 apply zenon_Haf. apply refl_equal.
% 83.65/83.87 (* end of lemma zenon_L681_ *)
% 83.65/83.87 assert (zenon_L682_ : ((op2 (op2 (e21) (e23)) (e21)) = (e23)) -> ((op2 (e21) (e23)) = (e22)) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> False).
% 83.65/83.87 do 0 intro. intros zenon_H56d zenon_H130 zenon_Hb8 zenon_H466.
% 83.65/83.87 elim (classic ((op2 (e22) (e21)) = (op2 (e22) (e21)))); [ zenon_intro zenon_H572 | zenon_intro zenon_H573 ].
% 83.65/83.87 cut (((op2 (e22) (e21)) = (op2 (e22) (e21))) = ((op2 (e20) (e21)) = (op2 (e22) (e21)))).
% 83.65/83.87 intro zenon_D_pnotp.
% 83.65/83.87 apply zenon_H466.
% 83.65/83.87 rewrite <- zenon_D_pnotp.
% 83.65/83.87 exact zenon_H572.
% 83.65/83.87 cut (((op2 (e22) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H573].
% 83.65/83.87 cut (((op2 (e22) (e21)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H574].
% 83.65/83.87 congruence.
% 83.65/83.87 cut (((op2 (op2 (e21) (e23)) (e21)) = (e23)) = ((op2 (e22) (e21)) = (op2 (e20) (e21)))).
% 83.65/83.87 intro zenon_D_pnotp.
% 83.65/83.87 apply zenon_H574.
% 83.65/83.87 rewrite <- zenon_D_pnotp.
% 83.65/83.87 exact zenon_H56d.
% 83.65/83.87 cut (((e23) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_Hb9].
% 83.65/83.87 cut (((op2 (op2 (e21) (e23)) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H575].
% 83.65/83.87 congruence.
% 83.65/83.87 elim (classic ((op2 (e22) (e21)) = (op2 (e22) (e21)))); [ zenon_intro zenon_H572 | zenon_intro zenon_H573 ].
% 83.65/83.87 cut (((op2 (e22) (e21)) = (op2 (e22) (e21))) = ((op2 (op2 (e21) (e23)) (e21)) = (op2 (e22) (e21)))).
% 83.65/83.87 intro zenon_D_pnotp.
% 83.65/83.87 apply zenon_H575.
% 83.65/83.87 rewrite <- zenon_D_pnotp.
% 83.65/83.87 exact zenon_H572.
% 83.65/83.87 cut (((op2 (e22) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H573].
% 83.65/83.87 cut (((op2 (e22) (e21)) = (op2 (op2 (e21) (e23)) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H571].
% 83.65/83.87 congruence.
% 83.65/83.87 apply (zenon_L681_); trivial.
% 83.65/83.87 apply zenon_H573. apply refl_equal.
% 83.65/83.87 apply zenon_H573. apply refl_equal.
% 83.65/83.87 apply zenon_Hb9. apply sym_equal. exact zenon_Hb8.
% 83.65/83.87 apply zenon_H573. apply refl_equal.
% 83.65/83.87 apply zenon_H573. apply refl_equal.
% 83.65/83.87 (* end of lemma zenon_L682_ *)
% 83.65/83.87 assert (zenon_L683_ : (~((op2 (e23) (e21)) = (op2 (op2 (e21) (e23)) (e21)))) -> ((op2 (e21) (e23)) = (e23)) -> False).
% 83.65/83.87 do 0 intro. intros zenon_H576 zenon_H47e.
% 83.65/83.87 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Haf].
% 83.65/83.87 cut (((e23) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H577].
% 83.65/83.87 congruence.
% 83.65/83.87 apply zenon_H577. apply sym_equal. exact zenon_H47e.
% 83.65/83.87 apply zenon_Haf. apply refl_equal.
% 83.65/83.87 (* end of lemma zenon_L683_ *)
% 83.65/83.87 assert (zenon_L684_ : ((op2 (op2 (e21) (e23)) (e21)) = (e23)) -> ((op2 (e21) (e23)) = (e23)) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> False).
% 83.65/83.87 do 0 intro. intros zenon_H56d zenon_H47e zenon_Hb8 zenon_H511.
% 83.65/83.87 elim (classic ((op2 (e23) (e21)) = (op2 (e23) (e21)))); [ zenon_intro zenon_H49d | zenon_intro zenon_H49e ].
% 83.65/83.87 cut (((op2 (e23) (e21)) = (op2 (e23) (e21))) = ((op2 (e20) (e21)) = (op2 (e23) (e21)))).
% 83.65/83.87 intro zenon_D_pnotp.
% 83.65/83.87 apply zenon_H511.
% 83.65/83.87 rewrite <- zenon_D_pnotp.
% 83.65/83.87 exact zenon_H49d.
% 83.65/83.87 cut (((op2 (e23) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H49e].
% 83.65/83.87 cut (((op2 (e23) (e21)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H512].
% 83.65/83.87 congruence.
% 83.65/83.87 cut (((op2 (op2 (e21) (e23)) (e21)) = (e23)) = ((op2 (e23) (e21)) = (op2 (e20) (e21)))).
% 83.65/83.87 intro zenon_D_pnotp.
% 83.65/83.87 apply zenon_H512.
% 83.65/83.87 rewrite <- zenon_D_pnotp.
% 83.65/83.87 exact zenon_H56d.
% 83.65/83.87 cut (((e23) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_Hb9].
% 83.65/83.87 cut (((op2 (op2 (e21) (e23)) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H578].
% 83.65/83.87 congruence.
% 83.65/83.87 elim (classic ((op2 (e23) (e21)) = (op2 (e23) (e21)))); [ zenon_intro zenon_H49d | zenon_intro zenon_H49e ].
% 83.65/83.87 cut (((op2 (e23) (e21)) = (op2 (e23) (e21))) = ((op2 (op2 (e21) (e23)) (e21)) = (op2 (e23) (e21)))).
% 83.65/83.87 intro zenon_D_pnotp.
% 83.65/83.87 apply zenon_H578.
% 83.65/83.87 rewrite <- zenon_D_pnotp.
% 83.65/83.87 exact zenon_H49d.
% 83.65/83.87 cut (((op2 (e23) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H49e].
% 83.65/83.87 cut (((op2 (e23) (e21)) = (op2 (op2 (e21) (e23)) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H576].
% 83.65/83.87 congruence.
% 83.65/83.87 apply (zenon_L683_); trivial.
% 83.65/83.87 apply zenon_H49e. apply refl_equal.
% 83.65/83.87 apply zenon_H49e. apply refl_equal.
% 83.65/83.87 apply zenon_Hb9. apply sym_equal. exact zenon_Hb8.
% 83.65/83.87 apply zenon_H49e. apply refl_equal.
% 83.65/83.87 apply zenon_H49e. apply refl_equal.
% 83.65/83.87 (* end of lemma zenon_L684_ *)
% 83.65/83.87 assert (zenon_L685_ : (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (op2 (e21) (e23)) (e21)) = (e23)) -> ((op2 (e21) (e23)) = (e22)) -> ((op2 (e22) (e23)) = (e23)) -> False).
% 83.65/83.87 do 0 intro. intros zenon_H579 zenon_H56d zenon_H130 zenon_H51c.
% 83.65/83.87 cut (((op2 (op2 (e21) (e23)) (e21)) = (e23)) = ((op2 (e22) (e21)) = (op2 (e22) (e23)))).
% 83.65/83.87 intro zenon_D_pnotp.
% 83.65/83.87 apply zenon_H579.
% 83.65/83.87 rewrite <- zenon_D_pnotp.
% 83.65/83.87 exact zenon_H56d.
% 83.65/83.87 cut (((e23) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H51d].
% 83.65/83.87 cut (((op2 (op2 (e21) (e23)) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H575].
% 83.65/83.87 congruence.
% 83.65/83.87 elim (classic ((op2 (e22) (e21)) = (op2 (e22) (e21)))); [ zenon_intro zenon_H572 | zenon_intro zenon_H573 ].
% 83.65/83.87 cut (((op2 (e22) (e21)) = (op2 (e22) (e21))) = ((op2 (op2 (e21) (e23)) (e21)) = (op2 (e22) (e21)))).
% 83.65/83.87 intro zenon_D_pnotp.
% 83.65/83.87 apply zenon_H575.
% 83.65/83.87 rewrite <- zenon_D_pnotp.
% 83.65/83.87 exact zenon_H572.
% 83.65/83.87 cut (((op2 (e22) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H573].
% 83.65/83.87 cut (((op2 (e22) (e21)) = (op2 (op2 (e21) (e23)) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H571].
% 83.65/83.87 congruence.
% 83.65/83.87 apply (zenon_L681_); trivial.
% 83.65/83.87 apply zenon_H573. apply refl_equal.
% 83.65/83.87 apply zenon_H573. apply refl_equal.
% 83.65/83.87 apply zenon_H51d. apply sym_equal. exact zenon_H51c.
% 83.65/83.87 (* end of lemma zenon_L685_ *)
% 83.65/83.87 assert (zenon_L686_ : (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((op2 (e20) (e23)) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((op2 (e22) (e23)) = (e23)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (op2 (e21) (e23)) (e21)) = (e23)) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> False).
% 83.65/83.87 do 0 intro. intros zenon_H57a zenon_H63 zenon_H73 zenon_H472 zenon_H51c zenon_H579 zenon_H56d zenon_Hb8 zenon_H511.
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H57a); [ zenon_intro zenon_H74 | zenon_intro zenon_H57b ].
% 83.65/83.87 apply (zenon_L26_); trivial.
% 83.65/83.87 apply (zenon_or_s _ _ zenon_H57b); [ zenon_intro zenon_H13c | zenon_intro zenon_H57c ].
% 83.65/83.87 apply (zenon_L679_); trivial.
% 83.65/83.88 apply (zenon_or_s _ _ zenon_H57c); [ zenon_intro zenon_H130 | zenon_intro zenon_H47e ].
% 83.65/83.88 apply (zenon_L685_); trivial.
% 83.65/83.88 apply (zenon_L684_); trivial.
% 83.65/83.88 (* end of lemma zenon_L686_ *)
% 83.65/83.88 assert (zenon_L687_ : (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e20) (e21)) = (e23)) -> ((op2 (op2 (e21) (e23)) (e21)) = (e23)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e23)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.65/83.88 do 0 intro. intros zenon_Hce zenon_H511 zenon_Hb8 zenon_H56d zenon_H579 zenon_H51c zenon_H472 zenon_H57a zenon_H73 zenon_H91 zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a.
% 83.65/83.88 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H63 | zenon_intro zenon_Hcf ].
% 83.65/83.88 apply (zenon_L686_); trivial.
% 83.65/83.88 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H74 | zenon_intro zenon_Hd0 ].
% 83.65/83.88 apply (zenon_L32_); trivial.
% 83.65/83.88 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H92 | zenon_intro zenon_H95 ].
% 83.65/83.88 apply (zenon_L34_); trivial.
% 83.65/83.88 apply (zenon_L36_); trivial.
% 83.65/83.88 (* end of lemma zenon_L687_ *)
% 83.65/83.88 assert (zenon_L688_ : (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (op2 (e21) (e23)) (e21)) = (e23)) -> ((op2 (e21) (e23)) = (e23)) -> ((op2 (e23) (e23)) = (e23)) -> False).
% 83.65/83.88 do 0 intro. intros zenon_H4fb zenon_H56d zenon_H47e zenon_H4ff.
% 83.65/83.88 cut (((op2 (op2 (e21) (e23)) (e21)) = (e23)) = ((op2 (e23) (e21)) = (op2 (e23) (e23)))).
% 83.65/83.88 intro zenon_D_pnotp.
% 83.65/83.88 apply zenon_H4fb.
% 83.65/83.88 rewrite <- zenon_D_pnotp.
% 83.65/83.88 exact zenon_H56d.
% 83.65/83.88 cut (((e23) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H57d].
% 83.65/83.88 cut (((op2 (op2 (e21) (e23)) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H578].
% 83.65/83.88 congruence.
% 83.65/83.88 elim (classic ((op2 (e23) (e21)) = (op2 (e23) (e21)))); [ zenon_intro zenon_H49d | zenon_intro zenon_H49e ].
% 83.65/83.88 cut (((op2 (e23) (e21)) = (op2 (e23) (e21))) = ((op2 (op2 (e21) (e23)) (e21)) = (op2 (e23) (e21)))).
% 83.65/83.88 intro zenon_D_pnotp.
% 83.65/83.88 apply zenon_H578.
% 83.65/83.88 rewrite <- zenon_D_pnotp.
% 83.65/83.88 exact zenon_H49d.
% 83.65/83.88 cut (((op2 (e23) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H49e].
% 83.65/83.88 cut (((op2 (e23) (e21)) = (op2 (op2 (e21) (e23)) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H576].
% 83.65/83.88 congruence.
% 83.65/83.88 apply (zenon_L683_); trivial.
% 83.65/83.88 apply zenon_H49e. apply refl_equal.
% 83.65/83.88 apply zenon_H49e. apply refl_equal.
% 83.65/83.88 apply zenon_H57d. apply sym_equal. exact zenon_H4ff.
% 83.65/83.88 (* end of lemma zenon_L688_ *)
% 83.65/83.88 assert (zenon_L689_ : (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((op2 (e20) (e21)) = (e23)) -> ((op2 (e22) (e23)) = (e22)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (op2 (e21) (e23)) (e21)) = (e23)) -> ((op2 (e23) (e23)) = (e23)) -> False).
% 83.65/83.88 do 0 intro. intros zenon_H57a zenon_H8a zenon_H7a zenon_H5d zenon_H78 zenon_H82 zenon_H7c zenon_H73 zenon_H8e zenon_H472 zenon_Hb8 zenon_Hfd zenon_H12f zenon_H4fb zenon_H56d zenon_H4ff.
% 83.65/83.88 apply (zenon_or_s _ _ zenon_H57a); [ zenon_intro zenon_H74 | zenon_intro zenon_H57b ].
% 83.65/83.88 apply (zenon_L32_); trivial.
% 83.65/83.88 apply (zenon_or_s _ _ zenon_H57b); [ zenon_intro zenon_H13c | zenon_intro zenon_H57c ].
% 83.65/83.88 apply (zenon_L679_); trivial.
% 83.65/83.88 apply (zenon_or_s _ _ zenon_H57c); [ zenon_intro zenon_H130 | zenon_intro zenon_H47e ].
% 83.65/83.88 apply (zenon_L74_); trivial.
% 83.65/83.88 apply (zenon_L688_); trivial.
% 83.65/83.88 (* end of lemma zenon_L689_ *)
% 83.65/83.88 assert (zenon_L690_ : (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((op2 (e20) (e21)) = (e23)) -> ((op2 (e22) (e23)) = (e22)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (op2 (e21) (e23)) (e21)) = (e23)) -> False).
% 83.65/83.88 do 0 intro. intros zenon_H51e zenon_H94 zenon_H91 zenon_H579 zenon_H511 zenon_Hce zenon_H57a zenon_H8a zenon_H7a zenon_H5d zenon_H78 zenon_H82 zenon_H7c zenon_H73 zenon_H8e zenon_H472 zenon_Hb8 zenon_Hfd zenon_H12f zenon_H4fb zenon_H56d.
% 83.65/83.88 apply (zenon_or_s _ _ zenon_H51e); [ zenon_intro zenon_H89 | zenon_intro zenon_H51f ].
% 83.65/83.88 apply (zenon_L31_); trivial.
% 83.65/83.88 apply (zenon_or_s _ _ zenon_H51f); [ zenon_intro zenon_H47e | zenon_intro zenon_H520 ].
% 83.65/83.88 apply (zenon_L684_); trivial.
% 83.65/83.88 apply (zenon_or_s _ _ zenon_H520); [ zenon_intro zenon_H51c | zenon_intro zenon_H4ff ].
% 83.65/83.88 apply (zenon_L687_); trivial.
% 83.65/83.88 apply (zenon_L689_); trivial.
% 83.65/83.88 (* end of lemma zenon_L690_ *)
% 83.65/83.88 assert (zenon_L691_ : (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> ((op2 (e21) (e20)) = (e21)) -> ((op2 (e21) (e23)) = (e21)) -> False).
% 83.65/83.88 do 0 intro. intros zenon_H529 zenon_Hac zenon_H13c.
% 83.65/83.88 cut (((op2 (e21) (e20)) = (e21)) = ((op2 (e21) (e20)) = (op2 (e21) (e23)))).
% 83.65/83.88 intro zenon_D_pnotp.
% 83.65/83.88 apply zenon_H529.
% 83.65/83.88 rewrite <- zenon_D_pnotp.
% 83.65/83.88 exact zenon_Hac.
% 83.65/83.88 cut (((e21) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H570].
% 83.65/83.88 cut (((op2 (e21) (e20)) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hd4].
% 83.65/83.88 congruence.
% 83.65/83.88 apply zenon_Hd4. apply refl_equal.
% 83.65/83.88 apply zenon_H570. apply sym_equal. exact zenon_H13c.
% 83.65/83.88 (* end of lemma zenon_L691_ *)
% 83.65/83.88 assert (zenon_L692_ : (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e22)) -> ((op2 (e23) (e23)) = (e22)) -> False).
% 83.65/83.88 do 0 intro. intros zenon_H57e zenon_H130 zenon_H4fc.
% 83.65/83.88 cut (((op2 (e21) (e23)) = (e22)) = ((op2 (e21) (e23)) = (op2 (e23) (e23)))).
% 83.65/83.88 intro zenon_D_pnotp.
% 83.65/83.88 apply zenon_H57e.
% 83.65/83.88 rewrite <- zenon_D_pnotp.
% 83.65/83.88 exact zenon_H130.
% 83.65/83.88 cut (((e22) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H4fd].
% 83.65/83.88 cut (((op2 (e21) (e23)) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H132].
% 83.65/83.88 congruence.
% 83.65/83.88 apply zenon_H132. apply refl_equal.
% 83.65/83.88 apply zenon_H4fd. apply sym_equal. exact zenon_H4fc.
% 83.65/83.88 (* end of lemma zenon_L692_ *)
% 83.65/83.88 assert (zenon_L693_ : (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> ((op2 (e23) (e23)) = (e22)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((op2 (op2 (e21) (e23)) (e21)) = (e23)) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> False).
% 83.65/83.88 do 0 intro. intros zenon_H57a zenon_H8a zenon_H7a zenon_H5d zenon_H78 zenon_H82 zenon_H7c zenon_H73 zenon_H8e zenon_Hac zenon_H529 zenon_H4fc zenon_H57e zenon_H56d zenon_Hb8 zenon_H511.
% 83.65/83.88 apply (zenon_or_s _ _ zenon_H57a); [ zenon_intro zenon_H74 | zenon_intro zenon_H57b ].
% 83.65/83.88 apply (zenon_L32_); trivial.
% 83.65/83.88 apply (zenon_or_s _ _ zenon_H57b); [ zenon_intro zenon_H13c | zenon_intro zenon_H57c ].
% 83.65/83.88 apply (zenon_L691_); trivial.
% 83.65/83.88 apply (zenon_or_s _ _ zenon_H57c); [ zenon_intro zenon_H130 | zenon_intro zenon_H47e ].
% 83.65/83.88 apply (zenon_L692_); trivial.
% 83.65/83.88 apply (zenon_L684_); trivial.
% 83.65/83.88 (* end of lemma zenon_L693_ *)
% 83.65/83.88 assert (zenon_L694_ : (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((op2 (op2 (e21) (e23)) (e21)) = (e23)) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> False).
% 83.65/83.88 do 0 intro. intros zenon_H57f zenon_H466 zenon_H4fb zenon_H12f zenon_H472 zenon_Hce zenon_H579 zenon_H91 zenon_H94 zenon_H51e zenon_H57a zenon_H8a zenon_H7a zenon_H5d zenon_H78 zenon_H82 zenon_H7c zenon_H73 zenon_H8e zenon_Hac zenon_H529 zenon_H57e zenon_H56d zenon_Hb8 zenon_H511.
% 83.65/83.88 apply (zenon_or_s _ _ zenon_H57f); [ zenon_intro zenon_H81 | zenon_intro zenon_H580 ].
% 83.65/83.88 apply (zenon_L29_); trivial.
% 83.65/83.88 apply (zenon_or_s _ _ zenon_H580); [ zenon_intro zenon_H130 | zenon_intro zenon_H581 ].
% 83.65/83.88 apply (zenon_L682_); trivial.
% 83.65/83.88 apply (zenon_or_s _ _ zenon_H581); [ zenon_intro zenon_Hfd | zenon_intro zenon_H4fc ].
% 83.65/83.88 apply (zenon_L690_); trivial.
% 83.65/83.88 apply (zenon_L693_); trivial.
% 83.65/83.88 (* end of lemma zenon_L694_ *)
% 83.65/83.88 assert (zenon_L695_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e20) = (e22))) -> ((op2 (e22) (e21)) = (e20)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((op2 (op2 (e21) (e23)) (e21)) = (e23)) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> False).
% 83.65/83.88 do 0 intro. intros zenon_H140 zenon_H57e zenon_H529 zenon_H57f zenon_H466 zenon_Hff zenon_Hef zenon_Ha3 zenon_He4 zenon_Hf7 zenon_H51e zenon_H94 zenon_H91 zenon_H579 zenon_H511 zenon_Hce zenon_H57a zenon_H8a zenon_H5d zenon_H82 zenon_H7c zenon_H73 zenon_H8e zenon_H12f zenon_H4fb zenon_Ha8 zenon_Hdc zenon_H142 zenon_H124 zenon_H78 zenon_H7a zenon_H56d zenon_Hb8 zenon_H472.
% 83.65/83.88 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ].
% 83.65/83.88 apply (zenon_L694_); trivial.
% 83.65/83.88 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ].
% 83.65/83.88 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 83.65/83.88 apply (zenon_L53_); trivial.
% 83.65/83.88 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_He2 | zenon_intro zenon_H146 ].
% 83.65/83.88 apply (zenon_L54_); trivial.
% 83.65/83.88 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H130 ].
% 83.65/83.88 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Hee | zenon_intro zenon_H100 ].
% 83.65/83.88 apply (zenon_L57_); trivial.
% 83.65/83.88 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H101 ].
% 83.65/83.88 apply (zenon_L58_); trivial.
% 83.65/83.88 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_Hf9 | zenon_intro zenon_Hfd ].
% 83.65/83.88 apply (zenon_L59_); trivial.
% 83.65/83.88 apply (zenon_L690_); trivial.
% 83.65/83.88 apply (zenon_L682_); trivial.
% 83.65/83.88 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ].
% 83.65/83.88 apply (zenon_L71_); trivial.
% 83.65/83.88 apply (zenon_L679_); trivial.
% 83.65/83.88 (* end of lemma zenon_L695_ *)
% 83.65/83.88 assert (zenon_L696_ : (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (op2 (e21) (e23)) (e21)) = (e23)) -> ((op2 (e21) (e23)) = (e23)) -> ((op2 (e23) (e22)) = (e23)) -> False).
% 83.65/83.88 do 0 intro. intros zenon_H50f zenon_H56d zenon_H47e zenon_H582.
% 83.65/83.88 cut (((op2 (op2 (e21) (e23)) (e21)) = (e23)) = ((op2 (e23) (e21)) = (op2 (e23) (e22)))).
% 83.65/83.88 intro zenon_D_pnotp.
% 83.65/83.88 apply zenon_H50f.
% 83.65/83.88 rewrite <- zenon_D_pnotp.
% 83.65/83.88 exact zenon_H56d.
% 83.65/83.88 cut (((e23) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H583].
% 83.65/83.88 cut (((op2 (op2 (e21) (e23)) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H578].
% 83.65/83.88 congruence.
% 83.65/83.88 elim (classic ((op2 (e23) (e21)) = (op2 (e23) (e21)))); [ zenon_intro zenon_H49d | zenon_intro zenon_H49e ].
% 83.65/83.88 cut (((op2 (e23) (e21)) = (op2 (e23) (e21))) = ((op2 (op2 (e21) (e23)) (e21)) = (op2 (e23) (e21)))).
% 83.65/83.88 intro zenon_D_pnotp.
% 83.65/83.88 apply zenon_H578.
% 83.65/83.88 rewrite <- zenon_D_pnotp.
% 83.65/83.88 exact zenon_H49d.
% 83.65/83.88 cut (((op2 (e23) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H49e].
% 83.65/83.88 cut (((op2 (e23) (e21)) = (op2 (op2 (e21) (e23)) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H576].
% 83.65/83.88 congruence.
% 83.65/83.88 apply (zenon_L683_); trivial.
% 83.65/83.88 apply zenon_H49e. apply refl_equal.
% 83.65/83.88 apply zenon_H49e. apply refl_equal.
% 83.65/83.88 apply zenon_H583. apply sym_equal. exact zenon_H582.
% 83.65/83.88 (* end of lemma zenon_L696_ *)
% 83.65/83.88 assert (zenon_L697_ : (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((op2 (e23) (e21)) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (op2 (e21) (e23)) (e21)) = (e23)) -> ((op2 (e21) (e23)) = (e23)) -> False).
% 83.65/83.88 do 0 intro. intros zenon_H584 zenon_H11e zenon_H112 zenon_H78 zenon_H7a zenon_Hf8 zenon_H11f zenon_H50f zenon_H56d zenon_H47e.
% 83.65/83.88 apply (zenon_or_s _ _ zenon_H584); [ zenon_intro zenon_H121 | zenon_intro zenon_H585 ].
% 83.65/83.88 apply (zenon_L600_); trivial.
% 83.65/83.88 apply (zenon_or_s _ _ zenon_H585); [ zenon_intro zenon_H111 | zenon_intro zenon_H586 ].
% 83.65/83.88 apply (zenon_L66_); trivial.
% 83.65/83.88 apply (zenon_or_s _ _ zenon_H586); [ zenon_intro zenon_H50d | zenon_intro zenon_H582 ].
% 83.65/83.88 apply (zenon_L598_); trivial.
% 83.65/83.88 apply (zenon_L696_); trivial.
% 83.65/83.88 (* end of lemma zenon_L697_ *)
% 83.65/83.88 assert (zenon_L698_ : (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((e20) = (e22))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((op2 (e20) (e23)) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((op2 (e23) (e21)) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (op2 (e21) (e23)) (e21)) = (e23)) -> False).
% 83.65/83.88 do 0 intro. intros zenon_H518 zenon_H509 zenon_Ha3 zenon_H57a zenon_H63 zenon_H73 zenon_H472 zenon_Hb8 zenon_H57e zenon_H584 zenon_H11e zenon_H112 zenon_H78 zenon_H7a zenon_Hf8 zenon_H11f zenon_H50f zenon_H56d.
% 83.65/83.88 apply (zenon_or_s _ _ zenon_H518); [ zenon_intro zenon_H508 | zenon_intro zenon_H519 ].
% 83.65/83.88 apply (zenon_L597_); trivial.
% 83.65/83.88 apply (zenon_or_s _ _ zenon_H519); [ zenon_intro zenon_H10f | zenon_intro zenon_H51a ].
% 83.65/83.88 apply (zenon_L69_); trivial.
% 83.65/83.88 apply (zenon_or_s _ _ zenon_H51a); [ zenon_intro zenon_H50d | zenon_intro zenon_H4fc ].
% 83.65/83.88 apply (zenon_L598_); trivial.
% 83.65/83.88 apply (zenon_or_s _ _ zenon_H57a); [ zenon_intro zenon_H74 | zenon_intro zenon_H57b ].
% 83.65/83.88 apply (zenon_L26_); trivial.
% 83.65/83.88 apply (zenon_or_s _ _ zenon_H57b); [ zenon_intro zenon_H13c | zenon_intro zenon_H57c ].
% 83.65/83.88 apply (zenon_L679_); trivial.
% 83.65/83.88 apply (zenon_or_s _ _ zenon_H57c); [ zenon_intro zenon_H130 | zenon_intro zenon_H47e ].
% 83.65/83.88 apply (zenon_L692_); trivial.
% 83.65/83.88 apply (zenon_L697_); trivial.
% 83.65/83.88 (* end of lemma zenon_L698_ *)
% 83.65/83.88 assert (zenon_L699_ : (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((op2 (op2 (e21) (e23)) (e21)) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e21)) = (e20)) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.65/83.88 do 0 intro. intros zenon_Hce zenon_H56d zenon_H50f zenon_H11f zenon_Hf8 zenon_H112 zenon_H11e zenon_H584 zenon_H57e zenon_Hb8 zenon_H472 zenon_H57a zenon_Ha3 zenon_H509 zenon_H518 zenon_H73 zenon_H91 zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a.
% 83.65/83.88 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H63 | zenon_intro zenon_Hcf ].
% 83.65/83.88 apply (zenon_L698_); trivial.
% 83.65/83.88 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H74 | zenon_intro zenon_Hd0 ].
% 83.65/83.88 apply (zenon_L32_); trivial.
% 83.65/83.88 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H92 | zenon_intro zenon_H95 ].
% 83.65/83.88 apply (zenon_L34_); trivial.
% 83.65/83.88 apply (zenon_L36_); trivial.
% 83.65/83.88 (* end of lemma zenon_L699_ *)
% 83.65/83.88 assert (zenon_L700_ : (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((e21) = (e22))) -> ((op2 (e21) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((e20) = (e22))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((op2 (e23) (e21)) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((op2 (op2 (e21) (e23)) (e21)) = (e23)) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> False).
% 83.65/83.88 do 0 intro. intros zenon_H142 zenon_Hdc zenon_Ha8 zenon_He1 zenon_H8a zenon_H7a zenon_H5d zenon_H78 zenon_H82 zenon_H7c zenon_H94 zenon_H8e zenon_H91 zenon_H73 zenon_H518 zenon_H509 zenon_Ha3 zenon_H57a zenon_H472 zenon_H57e zenon_H584 zenon_H11e zenon_H112 zenon_H11f zenon_H50f zenon_Hce zenon_H56d zenon_Hb8 zenon_H466.
% 83.65/83.88 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 83.65/83.88 apply (zenon_L53_); trivial.
% 83.65/83.88 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_He2 | zenon_intro zenon_H146 ].
% 83.65/83.88 apply (zenon_L54_); trivial.
% 83.65/83.88 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H130 ].
% 83.65/83.88 apply (zenon_L699_); trivial.
% 83.65/83.88 apply (zenon_L682_); trivial.
% 83.65/83.88 (* end of lemma zenon_L700_ *)
% 83.65/83.88 assert (zenon_L701_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e20) = (e21))) -> ((op2 (e21) (e20)) = (e20)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e21)) = (e20)) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((op2 (op2 (e21) (e23)) (e21)) = (e23)) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> False).
% 83.65/83.88 do 0 intro. intros zenon_H140 zenon_Had zenon_Hab zenon_H466 zenon_Hce zenon_H50f zenon_H11f zenon_H112 zenon_H11e zenon_H584 zenon_H57e zenon_H57a zenon_Ha3 zenon_H509 zenon_H518 zenon_H73 zenon_H91 zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H5d zenon_H8a zenon_Ha8 zenon_Hdc zenon_H142 zenon_H124 zenon_H78 zenon_H7a zenon_H56d zenon_Hb8 zenon_H472.
% 83.65/83.88 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ].
% 83.65/83.88 apply (zenon_L42_); trivial.
% 83.65/83.88 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ].
% 83.65/83.88 apply (zenon_L700_); trivial.
% 83.65/83.88 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ].
% 83.65/83.88 apply (zenon_L71_); trivial.
% 83.65/83.88 apply (zenon_L679_); trivial.
% 83.65/83.88 (* end of lemma zenon_L701_ *)
% 83.65/83.88 assert (zenon_L702_ : (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e20) = (e21))) -> ((op2 (e21) (e20)) = (e20)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((op2 (op2 (e21) (e23)) (e21)) = (e23)) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> False).
% 83.65/83.88 do 0 intro. intros zenon_H14f zenon_Hbb zenon_H554 zenon_H4fb zenon_H12f zenon_H511 zenon_H579 zenon_H51e zenon_Hf7 zenon_Hef zenon_Hff zenon_H57f zenon_H529 zenon_H140 zenon_Had zenon_Hab zenon_H466 zenon_Hce zenon_H50f zenon_H11f zenon_H112 zenon_H584 zenon_H57e zenon_H57a zenon_Ha3 zenon_H509 zenon_H518 zenon_H73 zenon_H91 zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H5d zenon_H8a zenon_Ha8 zenon_Hdc zenon_H142 zenon_H124 zenon_H78 zenon_H7a zenon_H56d zenon_Hb8 zenon_H472.
% 83.65/83.88 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ].
% 83.65/83.88 apply (zenon_L49_); trivial.
% 83.65/83.88 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ].
% 83.65/83.88 apply (zenon_L680_); trivial.
% 83.65/83.88 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ].
% 83.65/83.88 apply (zenon_L695_); trivial.
% 83.65/83.88 apply (zenon_L701_); trivial.
% 83.65/83.88 (* end of lemma zenon_L702_ *)
% 83.65/83.88 assert (zenon_L703_ : (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((op2 (op2 (e21) (e23)) (e21)) = (e23)) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((e20) = (e22))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e21) (e20)) = (e20)) -> (~((e20) = (e21))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e22) (e20)) = (e21)) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.65/83.88 do 0 intro. intros zenon_Hc9 zenon_Hb2 zenon_H472 zenon_H56d zenon_H78 zenon_H124 zenon_H142 zenon_Hdc zenon_Ha8 zenon_H82 zenon_H7c zenon_H94 zenon_H8e zenon_H91 zenon_H73 zenon_H518 zenon_H509 zenon_Ha3 zenon_H57a zenon_H57e zenon_H584 zenon_H112 zenon_H11f zenon_H50f zenon_Hce zenon_H466 zenon_Hab zenon_Had zenon_H140 zenon_H529 zenon_H57f zenon_Hff zenon_Hef zenon_Hf7 zenon_H51e zenon_H579 zenon_H511 zenon_H12f zenon_H4fb zenon_H554 zenon_Hbb zenon_H14f zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a.
% 83.65/83.88 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ].
% 83.65/83.88 apply (zenon_L43_); trivial.
% 83.65/83.88 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ].
% 83.65/83.88 apply (zenon_L702_); trivial.
% 83.65/83.88 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ].
% 83.65/83.88 apply (zenon_L46_); trivial.
% 83.65/83.88 apply (zenon_L31_); trivial.
% 83.65/83.88 (* end of lemma zenon_L703_ *)
% 83.65/83.88 assert (zenon_L704_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e21) (e20)) = (e23)) -> (~((e20) = (e21))) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((op2 (op2 (e21) (e23)) (e21)) = (e23)) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> False).
% 83.65/83.88 do 0 intro. intros zenon_H140 zenon_Hd6 zenon_Hd5 zenon_Had zenon_Hd2 zenon_H124 zenon_H78 zenon_H7a zenon_H56d zenon_Hb8 zenon_H472.
% 83.65/83.88 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ].
% 83.65/83.88 apply (zenon_L52_); trivial.
% 83.65/83.88 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ].
% 83.65/83.88 apply (zenon_L536_); trivial.
% 83.65/83.88 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ].
% 83.65/83.88 apply (zenon_L71_); trivial.
% 83.65/83.88 apply (zenon_L679_); trivial.
% 83.65/83.88 (* end of lemma zenon_L704_ *)
% 83.65/83.88 assert (zenon_L705_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e21) (e20)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e21)) = (e20)) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((op2 (op2 (e21) (e23)) (e21)) = (e23)) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> False).
% 83.65/83.88 do 0 intro. intros zenon_H140 zenon_Hd6 zenon_Hd5 zenon_H466 zenon_Hce zenon_H50f zenon_H11f zenon_H112 zenon_H11e zenon_H584 zenon_H57e zenon_H57a zenon_Ha3 zenon_H509 zenon_H518 zenon_H73 zenon_H91 zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H5d zenon_H8a zenon_Ha8 zenon_Hdc zenon_H142 zenon_H124 zenon_H78 zenon_H7a zenon_H56d zenon_Hb8 zenon_H472.
% 83.65/83.88 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ].
% 83.65/83.88 apply (zenon_L52_); trivial.
% 83.65/83.88 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ].
% 83.65/83.88 apply (zenon_L700_); trivial.
% 83.65/83.88 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ].
% 83.65/83.88 apply (zenon_L71_); trivial.
% 83.65/83.88 apply (zenon_L679_); trivial.
% 83.65/83.88 (* end of lemma zenon_L705_ *)
% 83.65/83.88 assert (zenon_L706_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((op2 (e21) (e20)) = (e20)) -> (~((e20) = (e21))) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((op2 (op2 (e21) (e23)) (e21)) = (e23)) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> False).
% 83.65/83.88 do 0 intro. intros zenon_H140 zenon_Hab zenon_Had zenon_Hd2 zenon_H124 zenon_H78 zenon_H7a zenon_H56d zenon_Hb8 zenon_H472.
% 83.65/83.88 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ].
% 83.65/83.88 apply (zenon_L42_); trivial.
% 83.65/83.88 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ].
% 83.65/83.88 apply (zenon_L536_); trivial.
% 83.65/83.88 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ].
% 83.65/83.88 apply (zenon_L71_); trivial.
% 83.65/83.88 apply (zenon_L679_); trivial.
% 83.65/83.88 (* end of lemma zenon_L706_ *)
% 83.65/83.88 assert (zenon_L707_ : (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> ((op2 (e23) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e20)) = (e23)) -> (~((e21) = (e23))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e20) = (e21))) -> ((op2 (e21) (e20)) = (e20)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((op2 (op2 (e21) (e23)) (e21)) = (e23)) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> False).
% 83.65/83.88 do 0 intro. intros zenon_H14f zenon_H10c zenon_H13e zenon_Hf7 zenon_Hef zenon_Hff zenon_He8 zenon_H152 zenon_Hd6 zenon_H102 zenon_Hc3 zenon_H141 zenon_H57f zenon_H4fb zenon_H12f zenon_H579 zenon_H51e zenon_H529 zenon_H511 zenon_H140 zenon_Had zenon_Hab zenon_H466 zenon_Hce zenon_H50f zenon_H11f zenon_H112 zenon_H584 zenon_H57e zenon_H57a zenon_Ha3 zenon_H509 zenon_H518 zenon_H73 zenon_H91 zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H5d zenon_H8a zenon_Ha8 zenon_Hdc zenon_H142 zenon_H124 zenon_H78 zenon_H7a zenon_H56d zenon_Hb8 zenon_H472.
% 83.65/83.88 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ].
% 83.65/83.88 apply (zenon_L49_); trivial.
% 83.65/83.88 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ].
% 83.65/83.88 apply (zenon_L706_); trivial.
% 83.65/83.88 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ].
% 83.65/83.88 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ].
% 83.65/83.88 apply (zenon_L694_); trivial.
% 83.65/83.88 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ].
% 83.65/83.88 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 83.65/83.88 apply (zenon_L53_); trivial.
% 83.65/83.88 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_He2 | zenon_intro zenon_H146 ].
% 83.65/83.88 apply (zenon_L54_); trivial.
% 83.65/83.88 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H130 ].
% 83.65/83.88 apply (zenon_L516_); trivial.
% 83.65/83.88 apply (zenon_L682_); trivial.
% 83.65/83.88 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ].
% 83.65/83.88 apply (zenon_L71_); trivial.
% 83.65/83.88 apply (zenon_L518_); trivial.
% 83.65/83.88 apply (zenon_L701_); trivial.
% 83.65/83.88 (* end of lemma zenon_L707_ *)
% 83.65/83.88 assert (zenon_L708_ : (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((op2 (op2 (e21) (e23)) (e21)) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> ((op2 (e21) (e20)) = (e21)) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.65/83.88 do 0 intro. intros zenon_Hc9 zenon_Hb2 zenon_H511 zenon_H56d zenon_H57e zenon_H529 zenon_Hac zenon_H8e zenon_H73 zenon_H7c zenon_H82 zenon_H78 zenon_H57a zenon_H51e zenon_H94 zenon_H91 zenon_H579 zenon_Hce zenon_H472 zenon_H12f zenon_H4fb zenon_H466 zenon_H57f zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a.
% 83.65/83.88 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ].
% 83.65/83.88 apply (zenon_L43_); trivial.
% 83.65/83.88 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ].
% 83.65/83.88 apply (zenon_L694_); trivial.
% 83.65/83.88 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ].
% 83.65/83.88 apply (zenon_L46_); trivial.
% 83.65/83.88 apply (zenon_L31_); trivial.
% 83.65/83.88 (* end of lemma zenon_L708_ *)
% 83.65/83.88 assert (zenon_L709_ : (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((e21) = (e23))) -> ((op2 (e23) (e20)) = (e21)) -> ((op2 (e22) (e20)) = (e20)) -> (~((e20) = (e23))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> ((op2 (op2 (e21) (e23)) (e21)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.65/83.88 do 0 intro. intros zenon_Hc9 zenon_Hd6 zenon_H10c zenon_H21d zenon_H21e zenon_H14f zenon_Had zenon_H48b zenon_H140 zenon_H466 zenon_Hce zenon_H50f zenon_H11f zenon_H112 zenon_H584 zenon_H57e zenon_H57a zenon_Ha3 zenon_H509 zenon_H518 zenon_H73 zenon_H91 zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_Ha8 zenon_Hdc zenon_H142 zenon_H124 zenon_H78 zenon_H56d zenon_H472 zenon_Hb2 zenon_H15c zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a.
% 83.65/83.88 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ].
% 83.65/83.88 apply (zenon_L43_); trivial.
% 83.65/83.88 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ].
% 83.65/83.88 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ].
% 83.65/83.88 apply (zenon_L43_); trivial.
% 83.65/83.88 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ].
% 83.65/83.88 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ].
% 83.65/83.88 apply (zenon_L49_); trivial.
% 83.65/83.88 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ].
% 83.65/83.88 apply (zenon_L704_); trivial.
% 83.65/83.88 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ].
% 83.65/83.88 apply (zenon_L542_); trivial.
% 83.65/83.88 apply (zenon_L705_); trivial.
% 83.65/83.88 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ].
% 83.65/83.88 apply (zenon_L139_); trivial.
% 83.65/83.88 apply (zenon_L88_); trivial.
% 83.65/83.88 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ].
% 83.65/83.88 apply (zenon_L46_); trivial.
% 83.65/83.88 apply (zenon_L31_); trivial.
% 83.65/83.88 (* end of lemma zenon_L709_ *)
% 83.65/83.88 assert (zenon_L710_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((e21) = (e23))) -> ((op2 (e22) (e20)) = (e20)) -> (~((e20) = (e23))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> ((op2 (op2 (e21) (e23)) (e21)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.65/83.88 do 0 intro. intros zenon_H15b zenon_H57f zenon_H4fb zenon_H12f zenon_H579 zenon_H51e zenon_H529 zenon_H511 zenon_Hc9 zenon_Hd6 zenon_H21d zenon_H21e zenon_H14f zenon_Had zenon_H48b zenon_H140 zenon_H466 zenon_Hce zenon_H50f zenon_H11f zenon_H112 zenon_H584 zenon_H57e zenon_H57a zenon_Ha3 zenon_H509 zenon_H518 zenon_H73 zenon_H91 zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_Ha8 zenon_Hdc zenon_H142 zenon_H124 zenon_H78 zenon_H56d zenon_H472 zenon_Hb2 zenon_H15c zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a.
% 83.65/83.88 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.65/83.88 apply (zenon_L41_); trivial.
% 83.65/83.88 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.65/83.88 apply (zenon_L708_); trivial.
% 83.65/83.88 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.65/83.88 apply (zenon_L152_); trivial.
% 83.65/83.88 apply (zenon_L709_); trivial.
% 83.65/83.88 (* end of lemma zenon_L710_ *)
% 83.65/83.88 assert (zenon_L711_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e20) = (e23))) -> ((op2 (e23) (e20)) = (e20)) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (op2 (e21) (e23)) (e21)) = (e23)) -> ((op2 (e21) (e23)) = (e23)) -> False).
% 83.65/83.88 do 0 intro. intros zenon_H587 zenon_H21e zenon_H10b zenon_H511 zenon_H7a zenon_H5d zenon_H50f zenon_H4fb zenon_H56d zenon_H47e.
% 83.65/83.88 apply (zenon_or_s _ _ zenon_H587); [ zenon_intro zenon_H159 | zenon_intro zenon_H588 ].
% 83.65/83.88 apply (zenon_L630_); trivial.
% 83.65/83.88 apply (zenon_or_s _ _ zenon_H588); [ zenon_intro zenon_H510 | zenon_intro zenon_H589 ].
% 83.65/83.88 apply (zenon_L601_); trivial.
% 83.65/83.88 apply (zenon_or_s _ _ zenon_H589); [ zenon_intro zenon_H582 | zenon_intro zenon_H4ff ].
% 83.65/83.88 apply (zenon_L696_); trivial.
% 83.65/83.88 apply (zenon_L688_); trivial.
% 83.65/83.88 (* end of lemma zenon_L711_ *)
% 83.65/83.88 assert (zenon_L712_ : (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> ((op2 (e22) (e23)) = (e23)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (op2 (e21) (e23)) (e21)) = (e23)) -> ((op2 (e23) (e22)) = (e23)) -> False).
% 83.65/83.88 do 0 intro. intros zenon_H57a zenon_H8a zenon_H7a zenon_H5d zenon_H78 zenon_H82 zenon_H7c zenon_H73 zenon_H8e zenon_Hac zenon_H529 zenon_H51c zenon_H579 zenon_H50f zenon_H56d zenon_H582.
% 83.65/83.88 apply (zenon_or_s _ _ zenon_H57a); [ zenon_intro zenon_H74 | zenon_intro zenon_H57b ].
% 83.65/83.88 apply (zenon_L32_); trivial.
% 83.65/83.88 apply (zenon_or_s _ _ zenon_H57b); [ zenon_intro zenon_H13c | zenon_intro zenon_H57c ].
% 83.65/83.88 apply (zenon_L691_); trivial.
% 83.65/83.88 apply (zenon_or_s _ _ zenon_H57c); [ zenon_intro zenon_H130 | zenon_intro zenon_H47e ].
% 83.65/83.88 apply (zenon_L685_); trivial.
% 83.65/83.88 apply (zenon_L696_); trivial.
% 83.65/83.88 (* end of lemma zenon_L712_ *)
% 83.65/83.88 assert (zenon_L713_ : ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e20) = (e23))) -> ((op2 (e23) (e20)) = (e20)) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((op2 (e20) (e21)) = (e23)) -> ((op2 (e22) (e23)) = (e22)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (op2 (e21) (e23)) (e21)) = (e23)) -> False).
% 83.65/83.88 do 0 intro. intros zenon_Hac zenon_H529 zenon_H579 zenon_H50f zenon_H587 zenon_H21e zenon_H10b zenon_H511 zenon_H51e zenon_H57a zenon_H8a zenon_H7a zenon_H5d zenon_H78 zenon_H82 zenon_H7c zenon_H73 zenon_H8e zenon_H472 zenon_Hb8 zenon_Hfd zenon_H12f zenon_H4fb zenon_H56d.
% 83.65/83.88 apply (zenon_or_s _ _ zenon_H587); [ zenon_intro zenon_H159 | zenon_intro zenon_H588 ].
% 83.65/83.88 apply (zenon_L630_); trivial.
% 83.65/83.88 apply (zenon_or_s _ _ zenon_H588); [ zenon_intro zenon_H510 | zenon_intro zenon_H589 ].
% 83.65/83.88 apply (zenon_L601_); trivial.
% 83.65/83.88 apply (zenon_or_s _ _ zenon_H589); [ zenon_intro zenon_H582 | zenon_intro zenon_H4ff ].
% 83.65/83.88 apply (zenon_or_s _ _ zenon_H51e); [ zenon_intro zenon_H89 | zenon_intro zenon_H51f ].
% 83.65/83.88 apply (zenon_L31_); trivial.
% 83.65/83.88 apply (zenon_or_s _ _ zenon_H51f); [ zenon_intro zenon_H47e | zenon_intro zenon_H520 ].
% 83.65/83.88 apply (zenon_L711_); trivial.
% 83.65/83.88 apply (zenon_or_s _ _ zenon_H520); [ zenon_intro zenon_H51c | zenon_intro zenon_H4ff ].
% 83.65/83.88 apply (zenon_L712_); trivial.
% 83.65/83.88 apply (zenon_L689_); trivial.
% 83.65/83.88 apply (zenon_L689_); trivial.
% 83.65/83.88 (* end of lemma zenon_L713_ *)
% 83.65/83.88 assert (zenon_L714_ : (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((op2 (e20) (e23)) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> ((op2 (e23) (e23)) = (e22)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (op2 (e21) (e23)) (e21)) = (e23)) -> ((op2 (e23) (e23)) = (e23)) -> False).
% 83.65/83.88 do 0 intro. intros zenon_H57a zenon_H63 zenon_H73 zenon_Hac zenon_H529 zenon_H4fc zenon_H57e zenon_H4fb zenon_H56d zenon_H4ff.
% 83.65/83.88 apply (zenon_or_s _ _ zenon_H57a); [ zenon_intro zenon_H74 | zenon_intro zenon_H57b ].
% 83.65/83.88 apply (zenon_L26_); trivial.
% 83.65/83.88 apply (zenon_or_s _ _ zenon_H57b); [ zenon_intro zenon_H13c | zenon_intro zenon_H57c ].
% 83.65/83.88 apply (zenon_L691_); trivial.
% 83.65/83.88 apply (zenon_or_s _ _ zenon_H57c); [ zenon_intro zenon_H130 | zenon_intro zenon_H47e ].
% 83.65/83.88 apply (zenon_L692_); trivial.
% 83.65/83.88 apply (zenon_L688_); trivial.
% 83.65/83.88 (* end of lemma zenon_L714_ *)
% 83.65/83.88 assert (zenon_L715_ : (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e20) = (e23))) -> ((op2 (e23) (e20)) = (e20)) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((op2 (e20) (e23)) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (op2 (e21) (e23)) (e21)) = (e23)) -> False).
% 83.65/83.88 do 0 intro. intros zenon_H57f zenon_H466 zenon_H12f zenon_Hb8 zenon_H472 zenon_H8a zenon_H7a zenon_H5d zenon_H78 zenon_H82 zenon_H7c zenon_H8e zenon_H579 zenon_H50f zenon_H587 zenon_H21e zenon_H10b zenon_H511 zenon_H51e zenon_H57a zenon_H63 zenon_H73 zenon_Hac zenon_H529 zenon_H57e zenon_H4fb zenon_H56d.
% 83.65/83.88 apply (zenon_or_s _ _ zenon_H57f); [ zenon_intro zenon_H81 | zenon_intro zenon_H580 ].
% 83.65/83.88 apply (zenon_L29_); trivial.
% 83.65/83.88 apply (zenon_or_s _ _ zenon_H580); [ zenon_intro zenon_H130 | zenon_intro zenon_H581 ].
% 83.65/83.88 apply (zenon_L682_); trivial.
% 83.65/83.88 apply (zenon_or_s _ _ zenon_H581); [ zenon_intro zenon_Hfd | zenon_intro zenon_H4fc ].
% 83.65/83.88 apply (zenon_L713_); trivial.
% 83.65/83.88 apply (zenon_or_s _ _ zenon_H587); [ zenon_intro zenon_H159 | zenon_intro zenon_H588 ].
% 83.65/83.88 apply (zenon_L630_); trivial.
% 83.65/83.88 apply (zenon_or_s _ _ zenon_H588); [ zenon_intro zenon_H510 | zenon_intro zenon_H589 ].
% 83.65/83.88 apply (zenon_L601_); trivial.
% 83.65/83.88 apply (zenon_or_s _ _ zenon_H589); [ zenon_intro zenon_H582 | zenon_intro zenon_H4ff ].
% 83.65/83.88 apply (zenon_or_s _ _ zenon_H51e); [ zenon_intro zenon_H89 | zenon_intro zenon_H51f ].
% 83.65/83.88 apply (zenon_L31_); trivial.
% 83.65/83.88 apply (zenon_or_s _ _ zenon_H51f); [ zenon_intro zenon_H47e | zenon_intro zenon_H520 ].
% 83.65/83.88 apply (zenon_L711_); trivial.
% 83.65/83.88 apply (zenon_or_s _ _ zenon_H520); [ zenon_intro zenon_H51c | zenon_intro zenon_H4ff ].
% 83.65/83.88 apply (zenon_L712_); trivial.
% 83.65/83.88 apply (zenon_L714_); trivial.
% 83.65/83.88 apply (zenon_L714_); trivial.
% 83.65/83.88 (* end of lemma zenon_L715_ *)
% 83.65/83.88 assert (zenon_L716_ : (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e20) = (e23))) -> ((op2 (e23) (e20)) = (e20)) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (op2 (e21) (e23)) (e21)) = (e23)) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.65/83.88 do 0 intro. intros zenon_Hc9 zenon_Hb2 zenon_H78 zenon_H82 zenon_H7c zenon_H94 zenon_H8e zenon_H91 zenon_H73 zenon_H57f zenon_H466 zenon_H12f zenon_H472 zenon_H579 zenon_H50f zenon_H587 zenon_H21e zenon_H10b zenon_H511 zenon_H51e zenon_H57a zenon_Hac zenon_H529 zenon_H57e zenon_H4fb zenon_H56d zenon_Hce zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a.
% 83.65/83.88 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ].
% 83.75/83.88 apply (zenon_L43_); trivial.
% 83.75/83.88 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ].
% 83.75/83.88 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H63 | zenon_intro zenon_Hcf ].
% 83.75/83.88 apply (zenon_L715_); trivial.
% 83.75/83.88 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H74 | zenon_intro zenon_Hd0 ].
% 83.75/83.88 apply (zenon_L32_); trivial.
% 83.75/83.88 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H92 | zenon_intro zenon_H95 ].
% 83.75/83.88 apply (zenon_L34_); trivial.
% 83.75/83.88 apply (zenon_L36_); trivial.
% 83.75/83.88 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ].
% 83.75/83.88 apply (zenon_L46_); trivial.
% 83.75/83.88 apply (zenon_L31_); trivial.
% 83.75/83.88 (* end of lemma zenon_L716_ *)
% 83.75/83.88 assert (zenon_L717_ : (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((e21) = (e23))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((op2 (e21) (e22)) = (e20)) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e20) = (e23))) -> ((op2 (e23) (e20)) = (e20)) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (op2 (e21) (e23)) (e21)) = (e23)) -> False).
% 83.75/83.88 do 0 intro. intros zenon_H482 zenon_Hd6 zenon_Hac zenon_H472 zenon_H120 zenon_H587 zenon_H21e zenon_H10b zenon_H511 zenon_H7a zenon_H5d zenon_H50f zenon_H4fb zenon_H56d.
% 83.75/83.88 apply (zenon_or_s _ _ zenon_H482); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H483 ].
% 83.75/83.88 apply (zenon_L52_); trivial.
% 83.75/83.88 apply (zenon_or_s _ _ zenon_H483); [ zenon_intro zenon_H471 | zenon_intro zenon_H484 ].
% 83.75/83.88 apply (zenon_L529_); trivial.
% 83.75/83.88 apply (zenon_or_s _ _ zenon_H484); [ zenon_intro zenon_H12a | zenon_intro zenon_H47e ].
% 83.75/83.88 apply (zenon_L625_); trivial.
% 83.75/83.88 apply (zenon_L711_); trivial.
% 83.75/83.88 (* end of lemma zenon_L717_ *)
% 83.75/83.88 assert (zenon_L718_ : (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> (~((e21) = (e22))) -> ((op2 (e21) (e21)) = (e21)) -> (~((e20) = (e22))) -> ((op2 (e21) (e22)) = (e20)) -> ((op2 (op2 (e21) (e23)) (e21)) = (e23)) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> False).
% 83.75/83.88 do 0 intro. intros zenon_H142 zenon_Hdc zenon_H78 zenon_Ha8 zenon_He1 zenon_Ha3 zenon_H120 zenon_H56d zenon_Hb8 zenon_H466.
% 83.75/83.88 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 83.75/83.88 apply (zenon_L53_); trivial.
% 83.75/83.88 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_He2 | zenon_intro zenon_H146 ].
% 83.75/83.88 apply (zenon_L54_); trivial.
% 83.75/83.88 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H130 ].
% 83.75/83.88 apply (zenon_L539_); trivial.
% 83.75/83.88 apply (zenon_L682_); trivial.
% 83.75/83.88 (* end of lemma zenon_L718_ *)
% 83.75/83.88 assert (zenon_L719_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e20)) = (e20)) -> (~((e20) = (e23))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e21) = (e23))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e21) (e22)) = (e20)) -> (~((e20) = (e22))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((op2 (op2 (e21) (e23)) (e21)) = (e23)) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> False).
% 83.75/83.88 do 0 intro. intros zenon_H140 zenon_H4fb zenon_H50f zenon_H5d zenon_H511 zenon_H10b zenon_H21e zenon_H587 zenon_Hd6 zenon_H482 zenon_H466 zenon_H120 zenon_Ha3 zenon_Ha8 zenon_Hdc zenon_H142 zenon_H124 zenon_H78 zenon_H7a zenon_H56d zenon_Hb8 zenon_H472.
% 83.75/83.88 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ].
% 83.75/83.88 apply (zenon_L717_); trivial.
% 83.75/83.88 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ].
% 83.75/83.88 apply (zenon_L718_); trivial.
% 83.75/83.88 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ].
% 83.75/83.88 apply (zenon_L71_); trivial.
% 83.75/83.88 apply (zenon_L679_); trivial.
% 83.75/83.88 (* end of lemma zenon_L719_ *)
% 83.75/83.88 assert (zenon_L720_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((e20) = (e22))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (op2 (e21) (e23)) (e21)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((e21) = (e23))) -> (~((e20) = (e23))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> ((op2 (e23) (e20)) = (e20)) -> (~((e20) = (e21))) -> False).
% 83.75/83.88 do 0 intro. intros zenon_H15b zenon_H8a zenon_H7a zenon_H5d zenon_Hc3 zenon_H15c zenon_Hb2 zenon_H78 zenon_H82 zenon_H7c zenon_H73 zenon_H8e zenon_H140 zenon_H4fb zenon_H50f zenon_H511 zenon_H587 zenon_H482 zenon_H466 zenon_Ha3 zenon_Ha8 zenon_Hdc zenon_H142 zenon_H124 zenon_H56d zenon_H472 zenon_H14f zenon_H554 zenon_H12f zenon_H579 zenon_H51e zenon_Hf7 zenon_Hef zenon_Hff zenon_H57f zenon_H529 zenon_Hce zenon_H11f zenon_H112 zenon_H584 zenon_H57e zenon_H57a zenon_H509 zenon_H518 zenon_H91 zenon_H94 zenon_H48e zenon_Hd6 zenon_H21e zenon_Hc9 zenon_H10b zenon_Had.
% 83.75/83.88 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.75/83.88 apply (zenon_L41_); trivial.
% 83.75/83.88 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.75/83.88 apply (zenon_L716_); trivial.
% 83.75/83.88 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.75/83.88 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ].
% 83.75/83.88 apply (zenon_L43_); trivial.
% 83.75/83.88 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ].
% 83.75/83.88 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ].
% 83.75/83.88 apply (zenon_L43_); trivial.
% 83.75/83.88 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ].
% 83.75/83.88 apply (zenon_or_s _ _ zenon_H48e); [ zenon_intro zenon_Hab | zenon_intro zenon_H494 ].
% 83.75/83.88 apply (zenon_L702_); trivial.
% 83.75/83.88 apply (zenon_or_s _ _ zenon_H494); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H495 ].
% 83.75/83.88 apply (zenon_L704_); trivial.
% 83.75/83.88 apply (zenon_or_s _ _ zenon_H495); [ zenon_intro zenon_H120 | zenon_intro zenon_H74 ].
% 83.75/83.88 apply (zenon_L719_); trivial.
% 83.75/83.88 apply (zenon_L32_); trivial.
% 83.75/83.88 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ].
% 83.75/83.88 apply (zenon_L83_); trivial.
% 83.75/83.88 apply (zenon_L630_); trivial.
% 83.75/83.88 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ].
% 83.75/83.88 apply (zenon_L46_); trivial.
% 83.75/83.88 apply (zenon_L31_); trivial.
% 83.75/83.88 apply (zenon_L64_); trivial.
% 83.75/83.88 (* end of lemma zenon_L720_ *)
% 83.75/83.88 assert (zenon_L721_ : ((~((op2 (e21) (op2 (e21) (e23))) = (e23)))/\(((op2 (op2 (e21) (e23)) (e21)) = (e23))/\(~((op2 (op2 (e21) (e23)) (e23)) = (e21))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((e20) = (e22))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((e21) = (e23))) -> (~((e20) = (e23))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((e20) = (e21))) -> False).
% 83.75/83.88 do 0 intro. intros zenon_H58a zenon_H48d zenon_H141 zenon_H102 zenon_He8 zenon_H13e zenon_H48b zenon_H15b zenon_H8a zenon_H7a zenon_H5d zenon_Hc3 zenon_H15c zenon_Hb2 zenon_H78 zenon_H82 zenon_H7c zenon_H73 zenon_H8e zenon_H140 zenon_H4fb zenon_H50f zenon_H511 zenon_H587 zenon_H482 zenon_H466 zenon_Ha3 zenon_Ha8 zenon_Hdc zenon_H142 zenon_H124 zenon_H472 zenon_H14f zenon_H554 zenon_H12f zenon_H579 zenon_H51e zenon_Hf7 zenon_Hef zenon_Hff zenon_H57f zenon_H529 zenon_Hce zenon_H11f zenon_H112 zenon_H584 zenon_H57e zenon_H57a zenon_H509 zenon_H518 zenon_H91 zenon_H94 zenon_H48e zenon_Hd6 zenon_H21e zenon_Hc9 zenon_Had.
% 83.75/83.88 apply (zenon_and_s _ _ zenon_H58a). zenon_intro zenon_H58c. zenon_intro zenon_H58b.
% 83.75/83.88 apply (zenon_and_s _ _ zenon_H58b). zenon_intro zenon_H56d. zenon_intro zenon_H58d.
% 83.75/83.88 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.75/83.88 apply (zenon_L40_); trivial.
% 83.75/83.88 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.75/83.88 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.75/83.88 apply (zenon_L41_); trivial.
% 83.75/83.88 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.75/83.88 apply (zenon_L42_); trivial.
% 83.75/83.88 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.75/83.88 apply (zenon_L703_); trivial.
% 83.75/83.88 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ].
% 83.75/83.88 apply (zenon_L43_); trivial.
% 83.75/83.88 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ].
% 83.75/83.88 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ].
% 83.75/83.88 apply (zenon_L43_); trivial.
% 83.75/83.88 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ].
% 83.75/83.88 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ].
% 83.75/83.88 apply (zenon_L49_); trivial.
% 83.75/83.88 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ].
% 83.75/83.88 apply (zenon_L704_); trivial.
% 83.75/83.88 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ].
% 83.75/83.88 apply (zenon_L695_); trivial.
% 83.75/83.88 apply (zenon_L705_); trivial.
% 83.75/83.88 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ].
% 83.75/83.88 apply (zenon_L707_); trivial.
% 83.75/83.88 apply (zenon_L88_); trivial.
% 83.75/83.88 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ].
% 83.75/83.88 apply (zenon_L46_); trivial.
% 83.75/83.88 apply (zenon_L31_); trivial.
% 83.75/83.88 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.75/83.88 apply (zenon_L710_); trivial.
% 83.75/83.88 apply (zenon_L720_); trivial.
% 83.75/83.88 (* end of lemma zenon_L721_ *)
% 83.75/83.88 assert (zenon_L722_ : (~((op2 (e22) (op2 (e22) (e20))) = (e20))) -> ((op2 (e22) (e21)) = (e20)) -> ((op2 (e22) (e20)) = (e21)) -> False).
% 83.75/83.88 do 0 intro. intros zenon_H58e zenon_He4 zenon_Hbb.
% 83.75/83.89 cut (((op2 (e22) (e21)) = (e20)) = ((op2 (e22) (op2 (e22) (e20))) = (e20))).
% 83.75/83.89 intro zenon_D_pnotp.
% 83.75/83.89 apply zenon_H58e.
% 83.75/83.89 rewrite <- zenon_D_pnotp.
% 83.75/83.89 exact zenon_He4.
% 83.75/83.89 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H60].
% 83.75/83.89 cut (((op2 (e22) (e21)) = (op2 (e22) (op2 (e22) (e20))))); [idtac | apply NNPP; zenon_intro zenon_H58f].
% 83.75/83.89 congruence.
% 83.75/83.89 elim (classic ((op2 (e22) (op2 (e22) (e20))) = (op2 (e22) (op2 (e22) (e20))))); [ zenon_intro zenon_H590 | zenon_intro zenon_H591 ].
% 83.75/83.89 cut (((op2 (e22) (op2 (e22) (e20))) = (op2 (e22) (op2 (e22) (e20)))) = ((op2 (e22) (e21)) = (op2 (e22) (op2 (e22) (e20))))).
% 83.75/83.89 intro zenon_D_pnotp.
% 83.75/83.89 apply zenon_H58f.
% 83.75/83.89 rewrite <- zenon_D_pnotp.
% 83.75/83.89 exact zenon_H590.
% 83.75/83.89 cut (((op2 (e22) (op2 (e22) (e20))) = (op2 (e22) (op2 (e22) (e20))))); [idtac | apply NNPP; zenon_intro zenon_H591].
% 83.75/83.89 cut (((op2 (e22) (op2 (e22) (e20))) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H592].
% 83.75/83.89 congruence.
% 83.75/83.89 cut (((op2 (e22) (e20)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H243].
% 83.75/83.89 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Ha1].
% 83.75/83.89 congruence.
% 83.75/83.89 apply zenon_Ha1. apply refl_equal.
% 83.75/83.89 exact (zenon_H243 zenon_Hbb).
% 83.75/83.89 apply zenon_H591. apply refl_equal.
% 83.75/83.89 apply zenon_H591. apply refl_equal.
% 83.75/83.89 apply zenon_H60. apply refl_equal.
% 83.75/83.89 (* end of lemma zenon_L722_ *)
% 83.75/83.89 assert (zenon_L723_ : (~((op2 (e20) (e20)) = (op2 (op2 (e22) (e20)) (e20)))) -> ((op2 (e22) (e20)) = (e20)) -> False).
% 83.75/83.89 do 0 intro. intros zenon_H593 zenon_H21d.
% 83.75/83.89 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H60].
% 83.75/83.89 cut (((e20) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H594].
% 83.75/83.89 congruence.
% 83.75/83.89 apply zenon_H594. apply sym_equal. exact zenon_H21d.
% 83.75/83.89 apply zenon_H60. apply refl_equal.
% 83.75/83.89 (* end of lemma zenon_L723_ *)
% 83.75/83.89 assert (zenon_L724_ : ((e22) = (op2 (e20) (e20))) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (op2 (e22) (e20)) (e20)) = (e22))) -> False).
% 83.75/83.89 do 0 intro. intros zenon_H78 zenon_H21d zenon_H595.
% 83.75/83.89 elim (classic ((e22) = (e22))); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Ha1 ].
% 83.75/83.89 cut (((e22) = (e22)) = ((op2 (op2 (e22) (e20)) (e20)) = (e22))).
% 83.75/83.89 intro zenon_D_pnotp.
% 83.75/83.89 apply zenon_H595.
% 83.75/83.89 rewrite <- zenon_D_pnotp.
% 83.75/83.89 exact zenon_Ha4.
% 83.75/83.89 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Ha1].
% 83.75/83.89 cut (((e22) = (op2 (op2 (e22) (e20)) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H596].
% 83.75/83.89 congruence.
% 83.75/83.89 cut (((e22) = (op2 (e20) (e20))) = ((e22) = (op2 (op2 (e22) (e20)) (e20)))).
% 83.75/83.89 intro zenon_D_pnotp.
% 83.75/83.89 apply zenon_H596.
% 83.75/83.89 rewrite <- zenon_D_pnotp.
% 83.75/83.89 exact zenon_H78.
% 83.75/83.89 cut (((op2 (e20) (e20)) = (op2 (op2 (e22) (e20)) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H593].
% 83.75/83.89 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Ha1].
% 83.75/83.89 congruence.
% 83.75/83.89 apply zenon_Ha1. apply refl_equal.
% 83.75/83.89 apply (zenon_L723_); trivial.
% 83.75/83.89 apply zenon_Ha1. apply refl_equal.
% 83.75/83.89 apply zenon_Ha1. apply refl_equal.
% 83.75/83.89 (* end of lemma zenon_L724_ *)
% 83.75/83.89 assert (zenon_L725_ : (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (op2 (e22) (e20)) (e22)) = (e20)) -> ((op2 (e22) (e20)) = (e21)) -> ((op2 (e22) (e22)) = (e20)) -> False).
% 83.75/83.89 do 0 intro. intros zenon_Hf7 zenon_H597 zenon_Hbb zenon_H4cc.
% 83.75/83.89 cut (((op2 (op2 (e22) (e20)) (e22)) = (e20)) = ((op2 (e21) (e22)) = (op2 (e22) (e22)))).
% 83.75/83.89 intro zenon_D_pnotp.
% 83.75/83.89 apply zenon_Hf7.
% 83.75/83.89 rewrite <- zenon_D_pnotp.
% 83.75/83.89 exact zenon_H597.
% 83.75/83.89 cut (((e20) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H4cd].
% 83.75/83.89 cut (((op2 (op2 (e22) (e20)) (e22)) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H598].
% 83.75/83.89 congruence.
% 83.75/83.89 elim (classic ((op2 (e21) (e22)) = (op2 (e21) (e22)))); [ zenon_intro zenon_H125 | zenon_intro zenon_Hfb ].
% 83.75/83.89 cut (((op2 (e21) (e22)) = (op2 (e21) (e22))) = ((op2 (op2 (e22) (e20)) (e22)) = (op2 (e21) (e22)))).
% 83.75/83.89 intro zenon_D_pnotp.
% 83.75/83.89 apply zenon_H598.
% 83.75/83.89 rewrite <- zenon_D_pnotp.
% 83.75/83.89 exact zenon_H125.
% 83.75/83.89 cut (((op2 (e21) (e22)) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hfb].
% 83.75/83.89 cut (((op2 (e21) (e22)) = (op2 (op2 (e22) (e20)) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H599].
% 83.75/83.89 congruence.
% 83.75/83.89 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Ha1].
% 83.75/83.89 cut (((e21) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hc0].
% 83.75/83.89 congruence.
% 83.75/83.89 apply zenon_Hc0. apply sym_equal. exact zenon_Hbb.
% 83.75/83.89 apply zenon_Ha1. apply refl_equal.
% 83.75/83.89 apply zenon_Hfb. apply refl_equal.
% 83.75/83.89 apply zenon_Hfb. apply refl_equal.
% 83.75/83.89 apply zenon_H4cd. apply sym_equal. exact zenon_H4cc.
% 83.75/83.89 (* end of lemma zenon_L725_ *)
% 83.75/83.89 assert (zenon_L726_ : (~((op2 (e23) (e22)) = (op2 (op2 (e22) (e20)) (e22)))) -> ((op2 (e22) (e20)) = (e23)) -> False).
% 83.75/83.89 do 0 intro. intros zenon_H59a zenon_H152.
% 83.75/83.89 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Ha1].
% 83.75/83.89 cut (((e23) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H534].
% 83.75/83.89 congruence.
% 83.75/83.89 apply zenon_H534. apply sym_equal. exact zenon_H152.
% 83.75/83.89 apply zenon_Ha1. apply refl_equal.
% 83.75/83.89 (* end of lemma zenon_L726_ *)
% 83.75/83.89 assert (zenon_L727_ : ((op2 (op2 (e22) (e20)) (e22)) = (e20)) -> ((op2 (e22) (e20)) = (e23)) -> ((op2 (e22) (e22)) = (e20)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> False).
% 83.75/83.89 do 0 intro. intros zenon_H597 zenon_H152 zenon_H4cc zenon_H59b.
% 83.75/83.89 elim (classic ((op2 (e23) (e22)) = (op2 (e23) (e22)))); [ zenon_intro zenon_H113 | zenon_intro zenon_H114 ].
% 83.75/83.89 cut (((op2 (e23) (e22)) = (op2 (e23) (e22))) = ((op2 (e22) (e22)) = (op2 (e23) (e22)))).
% 83.75/83.89 intro zenon_D_pnotp.
% 83.75/83.89 apply zenon_H59b.
% 83.75/83.89 rewrite <- zenon_D_pnotp.
% 83.75/83.89 exact zenon_H113.
% 83.75/83.89 cut (((op2 (e23) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H114].
% 83.75/83.89 cut (((op2 (e23) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H59c].
% 83.75/83.89 congruence.
% 83.75/83.89 cut (((op2 (op2 (e22) (e20)) (e22)) = (e20)) = ((op2 (e23) (e22)) = (op2 (e22) (e22)))).
% 83.75/83.89 intro zenon_D_pnotp.
% 83.75/83.89 apply zenon_H59c.
% 83.75/83.89 rewrite <- zenon_D_pnotp.
% 83.75/83.89 exact zenon_H597.
% 83.75/83.89 cut (((e20) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H4cd].
% 83.75/83.89 cut (((op2 (op2 (e22) (e20)) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H59d].
% 83.75/83.89 congruence.
% 83.75/83.89 elim (classic ((op2 (e23) (e22)) = (op2 (e23) (e22)))); [ zenon_intro zenon_H113 | zenon_intro zenon_H114 ].
% 83.75/83.89 cut (((op2 (e23) (e22)) = (op2 (e23) (e22))) = ((op2 (op2 (e22) (e20)) (e22)) = (op2 (e23) (e22)))).
% 83.75/83.89 intro zenon_D_pnotp.
% 83.75/83.89 apply zenon_H59d.
% 83.75/83.89 rewrite <- zenon_D_pnotp.
% 83.75/83.89 exact zenon_H113.
% 83.75/83.89 cut (((op2 (e23) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H114].
% 83.75/83.89 cut (((op2 (e23) (e22)) = (op2 (op2 (e22) (e20)) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H59a].
% 83.75/83.89 congruence.
% 83.75/83.89 apply (zenon_L726_); trivial.
% 83.75/83.89 apply zenon_H114. apply refl_equal.
% 83.75/83.89 apply zenon_H114. apply refl_equal.
% 83.75/83.89 apply zenon_H4cd. apply sym_equal. exact zenon_H4cc.
% 83.75/83.89 apply zenon_H114. apply refl_equal.
% 83.75/83.89 apply zenon_H114. apply refl_equal.
% 83.75/83.89 (* end of lemma zenon_L727_ *)
% 83.75/83.89 assert (zenon_L728_ : (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((e20) = (e23))) -> (~((e20) = (e22))) -> ((op2 (e22) (e21)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e20)) = (e23)) -> ((op2 (op2 (e22) (e20)) (e22)) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e23)) = (e20)) -> False).
% 83.75/83.89 do 0 intro. intros zenon_H59e zenon_H21e zenon_Ha3 zenon_Hf5 zenon_H59b zenon_H152 zenon_H597 zenon_H91 zenon_H63.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H59e); [ zenon_intro zenon_H21d | zenon_intro zenon_H59f ].
% 83.75/83.89 apply (zenon_L139_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H59f); [ zenon_intro zenon_He4 | zenon_intro zenon_H5a0 ].
% 83.75/83.89 apply (zenon_L58_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H5a0); [ zenon_intro zenon_H4cc | zenon_intro zenon_H92 ].
% 83.75/83.89 apply (zenon_L727_); trivial.
% 83.75/83.89 apply (zenon_L33_); trivial.
% 83.75/83.89 (* end of lemma zenon_L728_ *)
% 83.75/83.89 assert (zenon_L729_ : (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e22)) = (e20)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((e20) = (e23))) -> (~((e20) = (e22))) -> ((op2 (e22) (e21)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (op2 (e22) (e20)) (e22)) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e23)) = (e20)) -> False).
% 83.75/83.89 do 0 intro. intros zenon_H5a1 zenon_H4cb zenon_H4cc zenon_Hf7 zenon_Hef zenon_H78 zenon_H59e zenon_H21e zenon_Ha3 zenon_Hf5 zenon_H59b zenon_H597 zenon_H91 zenon_H63.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H5a1); [ zenon_intro zenon_H21d | zenon_intro zenon_H5a2 ].
% 83.75/83.89 apply (zenon_L569_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H5a2); [ zenon_intro zenon_Hbb | zenon_intro zenon_H5a3 ].
% 83.75/83.89 apply (zenon_L725_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H5a3); [ zenon_intro zenon_Hee | zenon_intro zenon_H152 ].
% 83.75/83.89 apply (zenon_L57_); trivial.
% 83.75/83.89 apply (zenon_L728_); trivial.
% 83.75/83.89 (* end of lemma zenon_L729_ *)
% 83.75/83.89 assert (zenon_L730_ : (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((op2 (op2 (e22) (e20)) (e22)) = (e20)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e21)) = (e22)) -> (~((e20) = (e22))) -> (~((e20) = (e23))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e22)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.75/83.89 do 0 intro. intros zenon_Hce zenon_H597 zenon_H59b zenon_Hf5 zenon_Ha3 zenon_H21e zenon_H59e zenon_Hef zenon_Hf7 zenon_H4cc zenon_H4cb zenon_H5a1 zenon_H73 zenon_H91 zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H63 | zenon_intro zenon_Hcf ].
% 83.75/83.89 apply (zenon_L729_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H74 | zenon_intro zenon_Hd0 ].
% 83.75/83.89 apply (zenon_L32_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H92 | zenon_intro zenon_H95 ].
% 83.75/83.89 apply (zenon_L34_); trivial.
% 83.75/83.89 apply (zenon_L36_); trivial.
% 83.75/83.89 (* end of lemma zenon_L730_ *)
% 83.75/83.89 assert (zenon_L731_ : (~((op2 (op2 (e22) (e20)) (e20)) = (e22))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((e20) = (e23))) -> (~((e20) = (e22))) -> ((op2 (e22) (e21)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (op2 (e22) (e20)) (e22)) = (e20)) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.75/83.89 do 0 intro. intros zenon_H595 zenon_H94 zenon_H73 zenon_H5a1 zenon_H4cb zenon_Hf7 zenon_Hef zenon_H59e zenon_H21e zenon_Ha3 zenon_Hf5 zenon_H59b zenon_H597 zenon_Hce zenon_H8e zenon_H91 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H59e); [ zenon_intro zenon_H21d | zenon_intro zenon_H59f ].
% 83.75/83.89 apply (zenon_L724_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H59f); [ zenon_intro zenon_He4 | zenon_intro zenon_H5a0 ].
% 83.75/83.89 apply (zenon_L58_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H5a0); [ zenon_intro zenon_H4cc | zenon_intro zenon_H92 ].
% 83.75/83.89 apply (zenon_L730_); trivial.
% 83.75/83.89 apply (zenon_L34_); trivial.
% 83.75/83.89 (* end of lemma zenon_L731_ *)
% 83.75/83.89 assert (zenon_L732_ : (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((e21) = (e22))) -> ((op2 (e21) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((op2 (op2 (e22) (e20)) (e22)) = (e20)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((e20) = (e23))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (op2 (e22) (e20)) (e20)) = (e22))) -> ((op2 (e23) (e21)) = (e20)) -> (~((e20) = (e22))) -> False).
% 83.75/83.89 do 0 intro. intros zenon_H133 zenon_Hb2 zenon_Ha8 zenon_He1 zenon_H8a zenon_H7a zenon_H5d zenon_H78 zenon_H82 zenon_H7c zenon_H91 zenon_H8e zenon_Hce zenon_H597 zenon_H59b zenon_H21e zenon_H59e zenon_Hef zenon_Hf7 zenon_H4cb zenon_H5a1 zenon_H73 zenon_H94 zenon_H595 zenon_H11e zenon_Ha3.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H105 | zenon_intro zenon_H135 ].
% 83.75/83.89 apply (zenon_L63_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_He2 | zenon_intro zenon_H136 ].
% 83.75/83.89 apply (zenon_L54_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H10f ].
% 83.75/83.89 apply (zenon_L731_); trivial.
% 83.75/83.89 apply (zenon_L69_); trivial.
% 83.75/83.89 (* end of lemma zenon_L732_ *)
% 83.75/83.89 assert (zenon_L733_ : ((op2 (e23) (e21)) = (e20)) -> ((op2 (e23) (e21)) = (e21)) -> (~((e20) = (e21))) -> False).
% 83.75/83.89 do 0 intro. intros zenon_H11e zenon_H10e zenon_Had.
% 83.75/83.89 elim (classic ((e21) = (e21))); [ zenon_intro zenon_Hae | zenon_intro zenon_Haf ].
% 83.75/83.89 cut (((e21) = (e21)) = ((e20) = (e21))).
% 83.75/83.89 intro zenon_D_pnotp.
% 83.75/83.89 apply zenon_Had.
% 83.75/83.89 rewrite <- zenon_D_pnotp.
% 83.75/83.89 exact zenon_Hae.
% 83.75/83.89 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Haf].
% 83.75/83.89 cut (((e21) = (e20))); [idtac | apply NNPP; zenon_intro zenon_Hb0].
% 83.75/83.89 congruence.
% 83.75/83.89 cut (((op2 (e23) (e21)) = (e20)) = ((e21) = (e20))).
% 83.75/83.89 intro zenon_D_pnotp.
% 83.75/83.89 apply zenon_Hb0.
% 83.75/83.89 rewrite <- zenon_D_pnotp.
% 83.75/83.89 exact zenon_H11e.
% 83.75/83.89 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H60].
% 83.75/83.89 cut (((op2 (e23) (e21)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H5a4].
% 83.75/83.89 congruence.
% 83.75/83.89 exact (zenon_H5a4 zenon_H10e).
% 83.75/83.89 apply zenon_H60. apply refl_equal.
% 83.75/83.89 apply zenon_Haf. apply refl_equal.
% 83.75/83.89 apply zenon_Haf. apply refl_equal.
% 83.75/83.89 (* end of lemma zenon_L733_ *)
% 83.75/83.89 assert (zenon_L734_ : (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> ((op2 (e21) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e22) (op2 (e22) (e20))) = (e20))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e20) = (e22))) -> (~((op2 (op2 (e22) (e20)) (e20)) = (e22))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((e20) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (op2 (e22) (e20)) (e22)) = (e20)) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((e20) = (e21))) -> False).
% 83.75/83.89 do 0 intro. intros zenon_H14f zenon_Hab zenon_Hd1 zenon_H58e zenon_H141 zenon_Hc3 zenon_Ha3 zenon_H595 zenon_H94 zenon_H73 zenon_H5a1 zenon_H4cb zenon_Hf7 zenon_Hef zenon_H59e zenon_H21e zenon_H59b zenon_H597 zenon_Hce zenon_H8e zenon_H91 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a zenon_Ha8 zenon_Hb2 zenon_H133 zenon_Hbb zenon_H48b zenon_Had.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ].
% 83.75/83.89 apply (zenon_L49_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ].
% 83.75/83.89 apply (zenon_L50_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ].
% 83.75/83.89 apply (zenon_L722_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H139 | zenon_intro zenon_H147 ].
% 83.75/83.89 apply (zenon_L76_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_He1 | zenon_intro zenon_H148 ].
% 83.75/83.89 apply (zenon_L732_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_He5 | zenon_intro zenon_H10e ].
% 83.75/83.89 apply (zenon_L591_); trivial.
% 83.75/83.89 apply (zenon_L733_); trivial.
% 83.75/83.89 (* end of lemma zenon_L734_ *)
% 83.75/83.89 assert (zenon_L735_ : (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (op2 (e22) (e20))) = (e20))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> (~((e20) = (e22))) -> ((op2 (e22) (e21)) = (e20)) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e21) = (e22))) -> False).
% 83.75/83.89 do 0 intro. intros zenon_H102 zenon_H58e zenon_Had zenon_He8 zenon_H7a zenon_Hff zenon_Hef zenon_H78 zenon_Ha3 zenon_He4 zenon_Hf8 zenon_Hf7 zenon_Ha8.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hbb | zenon_intro zenon_H103 ].
% 83.75/83.89 apply (zenon_L722_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_He5 | zenon_intro zenon_H104 ].
% 83.75/83.89 apply (zenon_L55_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_He7 | zenon_intro zenon_Hfc ].
% 83.75/83.89 apply (zenon_L56_); trivial.
% 83.75/83.89 apply (zenon_L61_); trivial.
% 83.75/83.89 (* end of lemma zenon_L735_ *)
% 83.75/83.89 assert (zenon_L736_ : (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((e21) = (e22))) -> ((op2 (e21) (e21)) = (e21)) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e22) (e21)) = (e20)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (e20)) = (e23)) -> (~((e20) = (e22))) -> ((op2 (e23) (e20)) = (e21)) -> (~((e20) = (e21))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (e23)) = (e22)) -> False).
% 83.75/83.89 do 0 intro. intros zenon_H133 zenon_Hb2 zenon_Ha8 zenon_He1 zenon_Hff zenon_Hef zenon_He4 zenon_H8a zenon_H7a zenon_H5d zenon_H78 zenon_H82 zenon_H7c zenon_H94 zenon_H8e zenon_H12c zenon_H11f zenon_H124 zenon_Hf7 zenon_H129 zenon_Hd5 zenon_Ha3 zenon_H10c zenon_Had zenon_H134 zenon_H12f zenon_H130.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H105 | zenon_intro zenon_H135 ].
% 83.75/83.89 apply (zenon_L63_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_He2 | zenon_intro zenon_H136 ].
% 83.75/83.89 apply (zenon_L54_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H10f ].
% 83.75/83.89 apply (zenon_L58_); trivial.
% 83.75/83.89 apply (zenon_L528_); trivial.
% 83.75/83.89 (* end of lemma zenon_L736_ *)
% 83.75/83.89 assert (zenon_L737_ : (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (op2 (e22) (e20))) = (e20))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((e21) = (e22))) -> ((op2 (e21) (e21)) = (e21)) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e22) (e21)) = (e20)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (e20)) = (e23)) -> (~((e20) = (e22))) -> ((op2 (e23) (e20)) = (e21)) -> (~((e20) = (e21))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> False).
% 83.75/83.89 do 0 intro. intros zenon_H142 zenon_Hdc zenon_He8 zenon_H58e zenon_H102 zenon_H133 zenon_Hb2 zenon_Ha8 zenon_He1 zenon_Hff zenon_Hef zenon_He4 zenon_H8a zenon_H7a zenon_H5d zenon_H78 zenon_H82 zenon_H7c zenon_H94 zenon_H8e zenon_H12c zenon_H11f zenon_H124 zenon_Hf7 zenon_H129 zenon_Hd5 zenon_Ha3 zenon_H10c zenon_Had zenon_H134 zenon_H12f.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 83.75/83.89 apply (zenon_L53_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_He2 | zenon_intro zenon_H146 ].
% 83.75/83.89 apply (zenon_L54_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H130 ].
% 83.75/83.89 apply (zenon_L735_); trivial.
% 83.75/83.89 apply (zenon_L736_); trivial.
% 83.75/83.89 (* end of lemma zenon_L737_ *)
% 83.75/83.89 assert (zenon_L738_ : (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e20) = (e22))) -> ((op2 (e21) (e20)) = (e23)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (op2 (e22) (e20))) = (e20))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((e20) = (e21))) -> ((op2 (e22) (e21)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e20)) = (e21)) -> False).
% 83.75/83.89 do 0 intro. intros zenon_H141 zenon_Hc3 zenon_H12f zenon_H134 zenon_Ha3 zenon_Hd5 zenon_H129 zenon_Hf7 zenon_H124 zenon_H11f zenon_H12c zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a zenon_Hef zenon_Hff zenon_Ha8 zenon_Hb2 zenon_H133 zenon_H102 zenon_H58e zenon_He8 zenon_Hdc zenon_H142 zenon_Had zenon_He4 zenon_H13e zenon_H10c.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H139 | zenon_intro zenon_H147 ].
% 83.75/83.89 apply (zenon_L76_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_He1 | zenon_intro zenon_H148 ].
% 83.75/83.89 apply (zenon_L737_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_He5 | zenon_intro zenon_H10e ].
% 83.75/83.89 apply (zenon_L55_); trivial.
% 83.75/83.89 apply (zenon_L517_); trivial.
% 83.75/83.89 (* end of lemma zenon_L738_ *)
% 83.75/83.89 assert (zenon_L739_ : ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((op2 (e22) (e21)) = (e23)) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> False).
% 83.75/83.89 do 0 intro. intros zenon_H5d zenon_H5a5 zenon_H7a zenon_H466.
% 83.75/83.89 elim (classic ((op2 (e22) (e21)) = (op2 (e22) (e21)))); [ zenon_intro zenon_H572 | zenon_intro zenon_H573 ].
% 83.75/83.89 cut (((op2 (e22) (e21)) = (op2 (e22) (e21))) = ((op2 (e20) (e21)) = (op2 (e22) (e21)))).
% 83.75/83.89 intro zenon_D_pnotp.
% 83.75/83.89 apply zenon_H466.
% 83.75/83.89 rewrite <- zenon_D_pnotp.
% 83.75/83.89 exact zenon_H572.
% 83.75/83.89 cut (((op2 (e22) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H573].
% 83.75/83.89 cut (((op2 (e22) (e21)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H574].
% 83.75/83.89 congruence.
% 83.75/83.89 cut (((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) = ((op2 (e22) (e21)) = (op2 (e20) (e21)))).
% 83.75/83.89 intro zenon_D_pnotp.
% 83.75/83.89 apply zenon_H574.
% 83.75/83.89 rewrite <- zenon_D_pnotp.
% 83.75/83.89 exact zenon_H5d.
% 83.75/83.89 cut (((op2 (e20) (op2 (e20) (op2 (e20) (e20)))) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H87].
% 83.75/83.89 cut (((e23) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H5a6].
% 83.75/83.89 congruence.
% 83.75/83.89 elim (classic ((op2 (e22) (e21)) = (op2 (e22) (e21)))); [ zenon_intro zenon_H572 | zenon_intro zenon_H573 ].
% 83.75/83.89 cut (((op2 (e22) (e21)) = (op2 (e22) (e21))) = ((e23) = (op2 (e22) (e21)))).
% 83.75/83.89 intro zenon_D_pnotp.
% 83.75/83.89 apply zenon_H5a6.
% 83.75/83.89 rewrite <- zenon_D_pnotp.
% 83.75/83.89 exact zenon_H572.
% 83.75/83.89 cut (((op2 (e22) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H573].
% 83.75/83.89 cut (((op2 (e22) (e21)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H5a7].
% 83.75/83.89 congruence.
% 83.75/83.89 exact (zenon_H5a7 zenon_H5a5).
% 83.75/83.89 apply zenon_H573. apply refl_equal.
% 83.75/83.89 apply zenon_H573. apply refl_equal.
% 83.75/83.89 apply (zenon_L30_); trivial.
% 83.75/83.89 apply zenon_H573. apply refl_equal.
% 83.75/83.89 apply zenon_H573. apply refl_equal.
% 83.75/83.89 (* end of lemma zenon_L739_ *)
% 83.75/83.89 assert (zenon_L740_ : (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e20)) = (e23)) -> ((op2 (e22) (e22)) = (e23)) -> False).
% 83.75/83.89 do 0 intro. intros zenon_H4cb zenon_H152 zenon_H4cf.
% 83.75/83.89 cut (((op2 (e22) (e20)) = (e23)) = ((op2 (e22) (e20)) = (op2 (e22) (e22)))).
% 83.75/83.89 intro zenon_D_pnotp.
% 83.75/83.89 apply zenon_H4cb.
% 83.75/83.89 rewrite <- zenon_D_pnotp.
% 83.75/83.89 exact zenon_H152.
% 83.75/83.89 cut (((e23) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H5a8].
% 83.75/83.89 cut (((op2 (e22) (e20)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hf1].
% 83.75/83.89 congruence.
% 83.75/83.89 apply zenon_Hf1. apply refl_equal.
% 83.75/83.89 apply zenon_H5a8. apply sym_equal. exact zenon_H4cf.
% 83.75/83.89 (* end of lemma zenon_L740_ *)
% 83.75/83.89 assert (zenon_L741_ : (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e22)) = (e20)) -> ((op2 (op2 (e22) (e20)) (e22)) = (e20)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e23)) = (e23)) -> False).
% 83.75/83.89 do 0 intro. intros zenon_H5a1 zenon_H4cb zenon_H4cc zenon_H597 zenon_Hf7 zenon_Hef zenon_H78 zenon_H51b zenon_H51c.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H5a1); [ zenon_intro zenon_H21d | zenon_intro zenon_H5a2 ].
% 83.75/83.89 apply (zenon_L569_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H5a2); [ zenon_intro zenon_Hbb | zenon_intro zenon_H5a3 ].
% 83.75/83.89 apply (zenon_L725_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H5a3); [ zenon_intro zenon_Hee | zenon_intro zenon_H152 ].
% 83.75/83.89 apply (zenon_L57_); trivial.
% 83.75/83.89 apply (zenon_L607_); trivial.
% 83.75/83.89 (* end of lemma zenon_L741_ *)
% 83.75/83.89 assert (zenon_L742_ : (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e22)) = (e20)) -> ((op2 (op2 (e22) (e20)) (e22)) = (e20)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> False).
% 83.75/83.89 do 0 intro. intros zenon_H5a9 zenon_H59b zenon_H466 zenon_H7a zenon_H5d zenon_H5a1 zenon_H4cb zenon_H4cc zenon_H597 zenon_Hf7 zenon_Hef zenon_H78 zenon_H51b.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H5a9); [ zenon_intro zenon_H152 | zenon_intro zenon_H5aa ].
% 83.75/83.89 apply (zenon_L727_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H5aa); [ zenon_intro zenon_H5a5 | zenon_intro zenon_H5ab ].
% 83.75/83.89 apply (zenon_L739_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H5ab); [ zenon_intro zenon_H4cf | zenon_intro zenon_H51c ].
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H5a1); [ zenon_intro zenon_H21d | zenon_intro zenon_H5a2 ].
% 83.75/83.89 apply (zenon_L569_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H5a2); [ zenon_intro zenon_Hbb | zenon_intro zenon_H5a3 ].
% 83.75/83.89 apply (zenon_L725_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H5a3); [ zenon_intro zenon_Hee | zenon_intro zenon_H152 ].
% 83.75/83.89 apply (zenon_L57_); trivial.
% 83.75/83.89 apply (zenon_L740_); trivial.
% 83.75/83.89 apply (zenon_L741_); trivial.
% 83.75/83.89 (* end of lemma zenon_L742_ *)
% 83.75/83.89 assert (zenon_L743_ : (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (op2 (e22) (e20)) (e20)) = (e22))) -> ((op2 (e23) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((e20) = (e21))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (op2 (e22) (e20))) = (e20))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((e21) = (e22))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (e20)) = (e23)) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (op2 (e22) (e20)) (e22)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.75/83.89 do 0 intro. intros zenon_H59e zenon_H595 zenon_H10c zenon_H13e zenon_Had zenon_H142 zenon_Hdc zenon_He8 zenon_H58e zenon_H102 zenon_H133 zenon_Hb2 zenon_Ha8 zenon_Hff zenon_H94 zenon_H12c zenon_H11f zenon_H124 zenon_H129 zenon_Hd5 zenon_Ha3 zenon_H134 zenon_H12f zenon_Hc3 zenon_H141 zenon_H51b zenon_Hef zenon_Hf7 zenon_H597 zenon_H4cb zenon_H5a1 zenon_H466 zenon_H59b zenon_H5a9 zenon_H8e zenon_H91 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H59e); [ zenon_intro zenon_H21d | zenon_intro zenon_H59f ].
% 83.75/83.89 apply (zenon_L724_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H59f); [ zenon_intro zenon_He4 | zenon_intro zenon_H5a0 ].
% 83.75/83.89 apply (zenon_L738_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H5a0); [ zenon_intro zenon_H4cc | zenon_intro zenon_H92 ].
% 83.75/83.89 apply (zenon_L742_); trivial.
% 83.75/83.89 apply (zenon_L34_); trivial.
% 83.75/83.89 (* end of lemma zenon_L743_ *)
% 83.75/83.89 assert (zenon_L744_ : (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (op2 (e22) (e20))) = (e20))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e20) = (e22))) -> ((op2 (e22) (e21)) = (e20)) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e22) (op2 (e20) (e20))) = (e22))) -> (~((e21) = (e22))) -> False).
% 83.75/83.89 do 0 intro. intros zenon_H102 zenon_H58e zenon_Had zenon_He8 zenon_H7a zenon_Hff zenon_Hef zenon_Ha3 zenon_He4 zenon_H78 zenon_H155 zenon_Ha8.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hbb | zenon_intro zenon_H103 ].
% 83.75/83.89 apply (zenon_L722_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_He5 | zenon_intro zenon_H104 ].
% 83.75/83.89 apply (zenon_L55_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_He7 | zenon_intro zenon_Hfc ].
% 83.75/83.89 apply (zenon_L56_); trivial.
% 83.75/83.89 apply (zenon_L86_); trivial.
% 83.75/83.89 (* end of lemma zenon_L744_ *)
% 83.75/83.89 assert (zenon_L745_ : ((op2 (e23) (e21)) = (e20)) -> ((op2 (e22) (e21)) = (e20)) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> False).
% 83.75/83.89 do 0 intro. intros zenon_H11e zenon_He4 zenon_H49b.
% 83.75/83.89 elim (classic ((op2 (e23) (e21)) = (op2 (e23) (e21)))); [ zenon_intro zenon_H49d | zenon_intro zenon_H49e ].
% 83.75/83.89 cut (((op2 (e23) (e21)) = (op2 (e23) (e21))) = ((op2 (e22) (e21)) = (op2 (e23) (e21)))).
% 83.75/83.89 intro zenon_D_pnotp.
% 83.75/83.89 apply zenon_H49b.
% 83.75/83.89 rewrite <- zenon_D_pnotp.
% 83.75/83.89 exact zenon_H49d.
% 83.75/83.89 cut (((op2 (e23) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H49e].
% 83.75/83.89 cut (((op2 (e23) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H49f].
% 83.75/83.89 congruence.
% 83.75/83.89 cut (((op2 (e23) (e21)) = (e20)) = ((op2 (e23) (e21)) = (op2 (e22) (e21)))).
% 83.75/83.89 intro zenon_D_pnotp.
% 83.75/83.89 apply zenon_H49f.
% 83.75/83.89 rewrite <- zenon_D_pnotp.
% 83.75/83.89 exact zenon_H11e.
% 83.75/83.89 cut (((e20) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H468].
% 83.75/83.89 cut (((op2 (e23) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H49e].
% 83.75/83.89 congruence.
% 83.75/83.89 apply zenon_H49e. apply refl_equal.
% 83.75/83.89 apply zenon_H468. apply sym_equal. exact zenon_He4.
% 83.75/83.89 apply zenon_H49e. apply refl_equal.
% 83.75/83.89 apply zenon_H49e. apply refl_equal.
% 83.75/83.89 (* end of lemma zenon_L745_ *)
% 83.75/83.89 assert (zenon_L746_ : (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (op2 (e22) (e20)) (e20)) = (e22))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e21)) = (e20)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e20)) = (e23)) -> ((op2 (op2 (e22) (e20)) (e22)) = (e20)) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.75/83.89 do 0 intro. intros zenon_H59e zenon_H595 zenon_H49b zenon_H11e zenon_H59b zenon_H152 zenon_H597 zenon_H8e zenon_H91 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H59e); [ zenon_intro zenon_H21d | zenon_intro zenon_H59f ].
% 83.75/83.89 apply (zenon_L724_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H59f); [ zenon_intro zenon_He4 | zenon_intro zenon_H5a0 ].
% 83.75/83.89 apply (zenon_L745_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H5a0); [ zenon_intro zenon_H4cc | zenon_intro zenon_H92 ].
% 83.75/83.89 apply (zenon_L727_); trivial.
% 83.75/83.89 apply (zenon_L34_); trivial.
% 83.75/83.89 (* end of lemma zenon_L746_ *)
% 83.75/83.89 assert (zenon_L747_ : ((op2 (op2 (e22) (e20)) (e22)) = (e20)) -> ((op2 (e22) (e20)) = (e23)) -> ((op2 (e23) (e20)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> False).
% 83.75/83.89 do 0 intro. intros zenon_H597 zenon_H152 zenon_H10b zenon_H462.
% 83.75/83.89 elim (classic ((op2 (e23) (e22)) = (op2 (e23) (e22)))); [ zenon_intro zenon_H113 | zenon_intro zenon_H114 ].
% 83.75/83.89 cut (((op2 (e23) (e22)) = (op2 (e23) (e22))) = ((op2 (e23) (e20)) = (op2 (e23) (e22)))).
% 83.75/83.89 intro zenon_D_pnotp.
% 83.75/83.89 apply zenon_H462.
% 83.75/83.89 rewrite <- zenon_D_pnotp.
% 83.75/83.89 exact zenon_H113.
% 83.75/83.89 cut (((op2 (e23) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H114].
% 83.75/83.89 cut (((op2 (e23) (e22)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H5ac].
% 83.75/83.89 congruence.
% 83.75/83.89 cut (((op2 (op2 (e22) (e20)) (e22)) = (e20)) = ((op2 (e23) (e22)) = (op2 (e23) (e20)))).
% 83.75/83.89 intro zenon_D_pnotp.
% 83.75/83.89 apply zenon_H5ac.
% 83.75/83.89 rewrite <- zenon_D_pnotp.
% 83.75/83.89 exact zenon_H597.
% 83.75/83.89 cut (((e20) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H5ad].
% 83.75/83.89 cut (((op2 (op2 (e22) (e20)) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H59d].
% 83.75/83.89 congruence.
% 83.75/83.89 elim (classic ((op2 (e23) (e22)) = (op2 (e23) (e22)))); [ zenon_intro zenon_H113 | zenon_intro zenon_H114 ].
% 83.75/83.89 cut (((op2 (e23) (e22)) = (op2 (e23) (e22))) = ((op2 (op2 (e22) (e20)) (e22)) = (op2 (e23) (e22)))).
% 83.75/83.89 intro zenon_D_pnotp.
% 83.75/83.89 apply zenon_H59d.
% 83.75/83.89 rewrite <- zenon_D_pnotp.
% 83.75/83.89 exact zenon_H113.
% 83.75/83.89 cut (((op2 (e23) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H114].
% 83.75/83.89 cut (((op2 (e23) (e22)) = (op2 (op2 (e22) (e20)) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H59a].
% 83.75/83.89 congruence.
% 83.75/83.89 apply (zenon_L726_); trivial.
% 83.75/83.89 apply zenon_H114. apply refl_equal.
% 83.75/83.89 apply zenon_H114. apply refl_equal.
% 83.75/83.89 apply zenon_H5ad. apply sym_equal. exact zenon_H10b.
% 83.75/83.89 apply zenon_H114. apply refl_equal.
% 83.75/83.89 apply zenon_H114. apply refl_equal.
% 83.75/83.89 (* end of lemma zenon_L747_ *)
% 83.75/83.89 assert (zenon_L748_ : (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((e21) = (e23))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (op2 (e22) (e20)) (e22)) = (e20)) -> ((op2 (e23) (e20)) = (e20)) -> (~((e20) = (e23))) -> False).
% 83.75/83.89 do 0 intro. intros zenon_H15c zenon_H7a zenon_H5d zenon_Hb2 zenon_Hd6 zenon_Hac zenon_H462 zenon_H597 zenon_H10b zenon_H21e.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ].
% 83.75/83.89 apply (zenon_L43_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ].
% 83.75/83.89 apply (zenon_L52_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ].
% 83.75/83.89 apply (zenon_L747_); trivial.
% 83.75/83.89 apply (zenon_L630_); trivial.
% 83.75/83.89 (* end of lemma zenon_L748_ *)
% 83.75/83.89 assert (zenon_L749_ : (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e20) = (e21))) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((op2 (op2 (e22) (e20)) (e22)) = (e20)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((e20) = (e22))) -> (~((e20) = (e23))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (op2 (e22) (e20)) (e20)) = (e22))) -> (~((e21) = (e22))) -> False).
% 83.75/83.89 do 0 intro. intros zenon_H141 zenon_Hc3 zenon_Had zenon_Hbb zenon_H48b zenon_H133 zenon_Hb2 zenon_Hd2 zenon_H8a zenon_H7a zenon_H5d zenon_H78 zenon_H82 zenon_H7c zenon_H91 zenon_H8e zenon_Hce zenon_H597 zenon_H59b zenon_Ha3 zenon_H21e zenon_H59e zenon_Hef zenon_Hf7 zenon_H4cb zenon_H5a1 zenon_H73 zenon_H94 zenon_H595 zenon_Ha8.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H139 | zenon_intro zenon_H147 ].
% 83.75/83.89 apply (zenon_L76_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_He1 | zenon_intro zenon_H148 ].
% 83.75/83.89 apply (zenon_L536_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_He5 | zenon_intro zenon_H10e ].
% 83.75/83.89 apply (zenon_L591_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H105 | zenon_intro zenon_H135 ].
% 83.75/83.89 apply (zenon_L63_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_He2 | zenon_intro zenon_H136 ].
% 83.75/83.89 apply (zenon_L537_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H10f ].
% 83.75/83.89 apply (zenon_L731_); trivial.
% 83.75/83.89 apply (zenon_L65_); trivial.
% 83.75/83.89 (* end of lemma zenon_L749_ *)
% 83.75/83.89 assert (zenon_L750_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e20) = (e23))) -> ((op2 (op2 (e22) (e20)) (e22)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (op2 (e22) (e20)) (e20)) = (e22))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (op2 (e22) (e20))) = (e20))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e21) = (e23))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((e20) = (e22))) -> (~((e21) = (e22))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> ((op2 (e23) (e20)) = (e20)) -> (~((e20) = (e21))) -> False).
% 83.75/83.89 do 0 intro. intros zenon_H15b zenon_H21e zenon_H597 zenon_H462 zenon_H48e zenon_Hd1 zenon_H595 zenon_H5a1 zenon_H4cb zenon_Hf7 zenon_Hef zenon_H59e zenon_H59b zenon_Hb2 zenon_H133 zenon_H48b zenon_Hc3 zenon_H141 zenon_H13e zenon_H58e zenon_H140 zenon_Hd6 zenon_H124 zenon_H142 zenon_Hdc zenon_Ha3 zenon_Ha8 zenon_Hce zenon_H91 zenon_H94 zenon_H14f zenon_H8e zenon_H73 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a zenon_H15c zenon_H10b zenon_Had.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.75/83.89 apply (zenon_L41_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.75/83.89 apply (zenon_L748_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ].
% 83.75/83.89 apply (zenon_L43_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ].
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H48e); [ zenon_intro zenon_Hab | zenon_intro zenon_H494 ].
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ].
% 83.75/83.89 apply (zenon_L49_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ].
% 83.75/83.89 apply (zenon_L50_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ].
% 83.75/83.89 apply (zenon_L722_); trivial.
% 83.75/83.89 apply (zenon_L648_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H494); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H495 ].
% 83.75/83.89 apply (zenon_L749_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H495); [ zenon_intro zenon_H120 | zenon_intro zenon_H74 ].
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ].
% 83.75/83.89 apply (zenon_L49_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ].
% 83.75/83.89 apply (zenon_L541_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ].
% 83.75/83.89 apply (zenon_L722_); trivial.
% 83.75/83.89 apply (zenon_L648_); trivial.
% 83.75/83.89 apply (zenon_L32_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ].
% 83.75/83.89 apply (zenon_L747_); trivial.
% 83.75/83.89 apply (zenon_L630_); trivial.
% 83.75/83.89 apply (zenon_L64_); trivial.
% 83.75/83.89 (* end of lemma zenon_L750_ *)
% 83.75/83.89 assert (zenon_L751_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> ((op2 (e22) (e20)) = (op2 (e20) (e22))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> ((op2 (e21) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e22) (op2 (e22) (e20))) = (e20))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e20) = (e22))) -> (~((op2 (op2 (e22) (e20)) (e20)) = (e22))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((e20) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (op2 (e22) (e20)) (e22)) = (e20)) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((e20) = (e21))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> False).
% 83.75/83.89 do 0 intro. intros zenon_H45f zenon_H45b zenon_Hbc zenon_H14f zenon_Hab zenon_Hd1 zenon_H58e zenon_H141 zenon_Hc3 zenon_Ha3 zenon_H595 zenon_H94 zenon_H73 zenon_H5a1 zenon_H4cb zenon_Hf7 zenon_Hef zenon_H59e zenon_H21e zenon_H59b zenon_H597 zenon_Hce zenon_H8e zenon_H91 zenon_H82 zenon_H5d zenon_H8a zenon_Ha8 zenon_Hb2 zenon_H133 zenon_H48b zenon_Had zenon_H15b zenon_H7a zenon_H78 zenon_H7c.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H45f); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H460 ].
% 83.75/83.89 apply (zenon_L41_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H460); [ zenon_intro zenon_H139 | zenon_intro zenon_H461 ].
% 83.75/83.89 apply (zenon_L76_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H461); [ zenon_intro zenon_H45a | zenon_intro zenon_H7b ].
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.75/83.89 apply (zenon_L41_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.75/83.89 apply (zenon_L42_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.75/83.89 apply (zenon_L734_); trivial.
% 83.75/83.89 apply (zenon_L510_); trivial.
% 83.75/83.89 apply (zenon_L28_); trivial.
% 83.75/83.89 (* end of lemma zenon_L751_ *)
% 83.75/83.89 assert (zenon_L752_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((op2 (e21) (e20)) = (e20)) -> (~((op2 (e22) (op2 (e21) (e23))) = (e22))) -> (~((op2 (e22) (op2 (e22) (e20))) = (e20))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e21) = (e22))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e22) (e20)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> (~((e20) = (e22))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((e20) = (e21))) -> ((op2 (e22) (e21)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e20)) = (e21)) -> False).
% 83.75/83.89 do 0 intro. intros zenon_H140 zenon_Hab zenon_H497 zenon_H58e zenon_H124 zenon_H141 zenon_Hc3 zenon_Ha8 zenon_H102 zenon_Hd6 zenon_H152 zenon_He8 zenon_H7a zenon_Hff zenon_Hef zenon_H78 zenon_Ha3 zenon_Hf7 zenon_Hdc zenon_H142 zenon_Had zenon_He4 zenon_H13e zenon_H10c.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ].
% 83.75/83.89 apply (zenon_L42_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ].
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 83.75/83.89 apply (zenon_L53_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_He2 | zenon_intro zenon_H146 ].
% 83.75/83.89 apply (zenon_L54_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H130 ].
% 83.75/83.89 apply (zenon_L516_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hbb | zenon_intro zenon_H103 ].
% 83.75/83.89 apply (zenon_L722_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_He5 | zenon_intro zenon_H104 ].
% 83.75/83.89 apply (zenon_L55_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_He7 | zenon_intro zenon_Hfc ].
% 83.75/83.89 apply (zenon_L56_); trivial.
% 83.75/83.89 apply (zenon_L547_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ].
% 83.75/83.89 apply (zenon_L71_); trivial.
% 83.75/83.89 apply (zenon_L518_); trivial.
% 83.75/83.89 (* end of lemma zenon_L752_ *)
% 83.75/83.89 assert (zenon_L753_ : (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (op2 (e22) (e20))) = (e20))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> (~((e20) = (e22))) -> ((op2 (e22) (e21)) = (e20)) -> (~((op2 (e22) (op2 (e22) (e22))) = (e22))) -> (~((e21) = (e22))) -> False).
% 83.75/83.89 do 0 intro. intros zenon_H102 zenon_H58e zenon_Had zenon_He8 zenon_H7a zenon_Hff zenon_Hef zenon_H78 zenon_Ha3 zenon_He4 zenon_H4c7 zenon_Ha8.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hbb | zenon_intro zenon_H103 ].
% 83.75/83.89 apply (zenon_L722_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_He5 | zenon_intro zenon_H104 ].
% 83.75/83.89 apply (zenon_L55_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_He7 | zenon_intro zenon_Hfc ].
% 83.75/83.89 apply (zenon_L56_); trivial.
% 83.75/83.89 apply (zenon_L567_); trivial.
% 83.75/83.89 (* end of lemma zenon_L753_ *)
% 83.75/83.89 assert (zenon_L754_ : ((op2 (e23) (e22)) = (op2 (e22) (e23))) -> ((op2 (e23) (e22)) = (e20)) -> ((op2 (e22) (e20)) = (e23)) -> (~((op2 (e22) (op2 (e22) (e20))) = (e20))) -> False).
% 83.75/83.89 do 0 intro. intros zenon_H4de zenon_H121 zenon_H152 zenon_H58e.
% 83.75/83.89 elim (classic ((e20) = (e20))); [ zenon_intro zenon_H5ae | zenon_intro zenon_H60 ].
% 83.75/83.89 cut (((e20) = (e20)) = ((op2 (e22) (op2 (e22) (e20))) = (e20))).
% 83.75/83.89 intro zenon_D_pnotp.
% 83.75/83.89 apply zenon_H58e.
% 83.75/83.89 rewrite <- zenon_D_pnotp.
% 83.75/83.89 exact zenon_H5ae.
% 83.75/83.89 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H60].
% 83.75/83.89 cut (((e20) = (op2 (e22) (op2 (e22) (e20))))); [idtac | apply NNPP; zenon_intro zenon_H5af].
% 83.75/83.89 congruence.
% 83.75/83.89 cut (((op2 (e23) (e22)) = (op2 (e22) (e23))) = ((e20) = (op2 (e22) (op2 (e22) (e20))))).
% 83.75/83.89 intro zenon_D_pnotp.
% 83.75/83.89 apply zenon_H5af.
% 83.75/83.89 rewrite <- zenon_D_pnotp.
% 83.75/83.89 exact zenon_H4de.
% 83.75/83.89 cut (((op2 (e22) (e23)) = (op2 (e22) (op2 (e22) (e20))))); [idtac | apply NNPP; zenon_intro zenon_H5b0].
% 83.75/83.89 cut (((op2 (e23) (e22)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H5b1].
% 83.75/83.89 congruence.
% 83.75/83.89 exact (zenon_H5b1 zenon_H121).
% 83.75/83.89 cut (((e23) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H534].
% 83.75/83.89 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Ha1].
% 83.75/83.89 congruence.
% 83.75/83.89 apply zenon_Ha1. apply refl_equal.
% 83.75/83.89 apply zenon_H534. apply sym_equal. exact zenon_H152.
% 83.75/83.89 apply zenon_H60. apply refl_equal.
% 83.75/83.89 apply zenon_H60. apply refl_equal.
% 83.75/83.89 (* end of lemma zenon_L754_ *)
% 83.75/83.89 assert (zenon_L755_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (op2 (e22) (e20)) (e22)) = (e20)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (op2 (e22) (e20)) (e20)) = (e22))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (op2 (e22) (e20))) = (e20))) -> ((op2 (e22) (e20)) = (e23)) -> ((op2 (e23) (e22)) = (op2 (e22) (e23))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.75/83.89 do 0 intro. intros zenon_H134 zenon_H462 zenon_H91 zenon_H597 zenon_H59b zenon_H49b zenon_H595 zenon_H59e zenon_H58e zenon_H152 zenon_H4de zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H10b | zenon_intro zenon_H137 ].
% 83.75/83.89 apply (zenon_L747_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H11e | zenon_intro zenon_H138 ].
% 83.75/83.89 apply (zenon_L746_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H121 | zenon_intro zenon_H95 ].
% 83.75/83.89 apply (zenon_L754_); trivial.
% 83.75/83.89 apply (zenon_L36_); trivial.
% 83.75/83.89 (* end of lemma zenon_L755_ *)
% 83.75/83.89 assert (zenon_L756_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e20) = (e23))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e21) (e20)) = (e20)) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((e20) = (e22))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((e20) = (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> ((op2 (e23) (e22)) = (op2 (e22) (e23))) -> (~((op2 (e22) (op2 (e22) (e20))) = (e20))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (op2 (e22) (e20)) (e20)) = (e22))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (op2 (e22) (e20)) (e22)) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e21) = (e23))) -> False).
% 83.75/83.89 do 0 intro. intros zenon_H15b zenon_H48b zenon_Hce zenon_H21e zenon_H73 zenon_Hd1 zenon_Hab zenon_H14f zenon_H15c zenon_H5a9 zenon_H466 zenon_H5a1 zenon_H4cb zenon_Hf7 zenon_Hef zenon_H51b zenon_H141 zenon_Hc3 zenon_H12f zenon_Ha3 zenon_H129 zenon_H124 zenon_H11f zenon_H12c zenon_Hff zenon_Ha8 zenon_Hb2 zenon_H133 zenon_H102 zenon_He8 zenon_Hdc zenon_H142 zenon_Had zenon_H13e zenon_H8a zenon_H7a zenon_H5d zenon_H78 zenon_H82 zenon_H7c zenon_H94 zenon_H8e zenon_H4de zenon_H58e zenon_H59e zenon_H595 zenon_H49b zenon_H59b zenon_H597 zenon_H91 zenon_H462 zenon_H134 zenon_Hd6.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.75/83.89 apply (zenon_L41_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.75/83.89 apply (zenon_L42_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.75/83.89 apply (zenon_L734_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ].
% 83.75/83.89 apply (zenon_L43_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ].
% 83.75/83.89 apply (zenon_L743_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ].
% 83.75/83.89 apply (zenon_L755_); trivial.
% 83.75/83.89 apply (zenon_L88_); trivial.
% 83.75/83.89 (* end of lemma zenon_L756_ *)
% 83.75/83.89 assert (zenon_L757_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e20) = (e21))) -> ((op2 (e23) (e20)) = (e21)) -> (~((e20) = (e22))) -> ((op2 (e23) (e21)) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e23)) = (op2 (e23) (e20))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.75/83.89 do 0 intro. intros zenon_H134 zenon_Had zenon_H10c zenon_Ha3 zenon_H10f zenon_H91 zenon_H73 zenon_H462 zenon_H4e6 zenon_Hce zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H10b | zenon_intro zenon_H137 ].
% 83.75/83.89 apply (zenon_L64_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H11e | zenon_intro zenon_H138 ].
% 83.75/83.89 apply (zenon_L69_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H121 | zenon_intro zenon_H95 ].
% 83.75/83.89 apply (zenon_L577_); trivial.
% 83.75/83.89 apply (zenon_L36_); trivial.
% 83.75/83.89 (* end of lemma zenon_L757_ *)
% 83.75/83.89 assert (zenon_L758_ : (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((op2 (e21) (e21)) = (e20)) -> ((op2 (op2 (e22) (e20)) (e22)) = (e20)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((e20) = (e23))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (op2 (e22) (e20)) (e20)) = (e22))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e20) = (e21))) -> ((op2 (e23) (e20)) = (e21)) -> (~((e20) = (e22))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e23)) = (op2 (e23) (e20))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.75/83.89 do 0 intro. intros zenon_H133 zenon_Hb2 zenon_Hd2 zenon_H597 zenon_H59b zenon_H21e zenon_H59e zenon_Hef zenon_Hf7 zenon_H4cb zenon_H5a1 zenon_H595 zenon_H134 zenon_Had zenon_H10c zenon_Ha3 zenon_H91 zenon_H73 zenon_H462 zenon_H4e6 zenon_Hce zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H105 | zenon_intro zenon_H135 ].
% 83.75/83.89 apply (zenon_L63_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_He2 | zenon_intro zenon_H136 ].
% 83.75/83.89 apply (zenon_L537_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H10f ].
% 83.75/83.89 apply (zenon_L731_); trivial.
% 83.75/83.89 apply (zenon_L757_); trivial.
% 83.75/83.89 (* end of lemma zenon_L758_ *)
% 83.75/83.89 assert (zenon_L759_ : (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((e20) = (e22))) -> ((op2 (e23) (e20)) = (e21)) -> (~((e20) = (e21))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e20) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((op2 (e20) (e23)) = (op2 (e23) (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (op2 (e22) (e20)) (e20)) = (e22))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e20)) = (e23)) -> ((op2 (op2 (e22) (e20)) (e22)) = (e20)) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.75/83.89 do 0 intro. intros zenon_H14f zenon_Ha3 zenon_H10c zenon_Had zenon_H5a1 zenon_H4cb zenon_Hf7 zenon_Hef zenon_H21e zenon_Hb2 zenon_H133 zenon_H94 zenon_Hce zenon_H4e6 zenon_H462 zenon_H73 zenon_H134 zenon_H59e zenon_H595 zenon_H49b zenon_H59b zenon_H152 zenon_H597 zenon_H8e zenon_H91 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ].
% 83.75/83.89 apply (zenon_L49_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ].
% 83.75/83.89 apply (zenon_L758_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ].
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H10b | zenon_intro zenon_H137 ].
% 83.75/83.89 apply (zenon_L747_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H11e | zenon_intro zenon_H138 ].
% 83.75/83.89 apply (zenon_L745_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H121 | zenon_intro zenon_H95 ].
% 83.75/83.89 apply (zenon_L577_); trivial.
% 83.75/83.89 apply (zenon_L36_); trivial.
% 83.75/83.89 apply (zenon_L746_); trivial.
% 83.75/83.89 (* end of lemma zenon_L759_ *)
% 83.75/83.89 assert (zenon_L760_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e21) (e20)) = (e20)) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((e21) = (e22))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (op2 (e22) (e20))) = (e20))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> ((op2 (op2 (e22) (e20)) (e22)) = (e20)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (op2 (e22) (e20)) (e20)) = (e22))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e23)) = (op2 (e23) (e20))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((e20) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((e20) = (e21))) -> (~((e20) = (e22))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((e21) = (e23))) -> False).
% 83.75/83.89 do 0 intro. intros zenon_H15b zenon_H48b zenon_Hd1 zenon_Hab zenon_H15c zenon_H5a9 zenon_H466 zenon_H51b zenon_H141 zenon_Hc3 zenon_H12f zenon_H129 zenon_H124 zenon_H11f zenon_H12c zenon_Hff zenon_Ha8 zenon_H102 zenon_H58e zenon_He8 zenon_Hdc zenon_H142 zenon_H13e zenon_H8a zenon_H7a zenon_H5d zenon_H78 zenon_H82 zenon_H7c zenon_H91 zenon_H8e zenon_H597 zenon_H59b zenon_H49b zenon_H595 zenon_H59e zenon_H134 zenon_H73 zenon_H462 zenon_H4e6 zenon_Hce zenon_H94 zenon_H133 zenon_Hb2 zenon_H21e zenon_Hef zenon_Hf7 zenon_H4cb zenon_H5a1 zenon_Had zenon_Ha3 zenon_H14f zenon_Hd6.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.75/83.89 apply (zenon_L41_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.75/83.89 apply (zenon_L42_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.75/83.89 apply (zenon_L734_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ].
% 83.75/83.89 apply (zenon_L43_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ].
% 83.75/83.89 apply (zenon_L743_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ].
% 83.75/83.89 apply (zenon_L759_); trivial.
% 83.75/83.89 apply (zenon_L88_); trivial.
% 83.75/83.89 (* end of lemma zenon_L760_ *)
% 83.75/83.89 assert (zenon_L761_ : (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((op2 (op2 (e22) (e20)) (e22)) = (e20)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((e20) = (e23))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (op2 (e22) (e20)) (e20)) = (e22))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e22) (op2 (e22) (e20))) = (e20))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e21) (e20)) = (e20)) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> (~((e20) = (e22))) -> ((op2 (e22) (e21)) = (e20)) -> ((op2 (e23) (e21)) = (e22)) -> (~((op2 (e22) (op2 (e23) (e21))) = (e22))) -> (~((e21) = (e22))) -> False).
% 83.75/83.89 do 0 intro. intros zenon_H102 zenon_H48b zenon_H133 zenon_Hb2 zenon_H8a zenon_H5d zenon_H82 zenon_H7c zenon_H91 zenon_H8e zenon_Hce zenon_H597 zenon_H59b zenon_H21e zenon_H59e zenon_Hf7 zenon_H4cb zenon_H5a1 zenon_H73 zenon_H94 zenon_H595 zenon_Hc3 zenon_H141 zenon_H58e zenon_Hd1 zenon_Hab zenon_H14f zenon_Had zenon_He8 zenon_H7a zenon_Hff zenon_Hef zenon_H78 zenon_Ha3 zenon_He4 zenon_H10f zenon_H4eb zenon_Ha8.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hbb | zenon_intro zenon_H103 ].
% 83.75/83.89 apply (zenon_L734_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_He5 | zenon_intro zenon_H104 ].
% 83.75/83.89 apply (zenon_L55_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_He7 | zenon_intro zenon_Hfc ].
% 83.75/83.89 apply (zenon_L56_); trivial.
% 83.75/83.89 apply (zenon_L583_); trivial.
% 83.75/83.89 (* end of lemma zenon_L761_ *)
% 83.75/83.89 assert (zenon_L762_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e20) = (e21))) -> ((op2 (e23) (e20)) = (e21)) -> (~((e20) = (e22))) -> ((op2 (e23) (e21)) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e22) (e23)) = (op2 (e23) (e22))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.75/83.89 do 0 intro. intros zenon_H134 zenon_Had zenon_H10c zenon_Ha3 zenon_H10f zenon_H91 zenon_H73 zenon_H4f7 zenon_Hce zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H10b | zenon_intro zenon_H137 ].
% 83.75/83.89 apply (zenon_L64_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H11e | zenon_intro zenon_H138 ].
% 83.75/83.89 apply (zenon_L69_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H121 | zenon_intro zenon_H95 ].
% 83.75/83.89 apply (zenon_L589_); trivial.
% 83.75/83.89 apply (zenon_L36_); trivial.
% 83.75/83.89 (* end of lemma zenon_L762_ *)
% 83.75/83.89 assert (zenon_L763_ : (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((e21) = (e22))) -> ((op2 (e21) (e21)) = (e21)) -> ((op2 (e22) (e21)) = (e20)) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e20) = (e21))) -> ((op2 (e23) (e20)) = (e21)) -> (~((e20) = (e22))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e22) (e23)) = (op2 (e23) (e22))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.75/83.89 do 0 intro. intros zenon_H133 zenon_Hb2 zenon_Ha8 zenon_He1 zenon_He4 zenon_H134 zenon_Had zenon_H10c zenon_Ha3 zenon_H91 zenon_H73 zenon_H4f7 zenon_Hce zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H105 | zenon_intro zenon_H135 ].
% 83.75/83.89 apply (zenon_L63_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_He2 | zenon_intro zenon_H136 ].
% 83.75/83.89 apply (zenon_L54_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H10f ].
% 83.75/83.89 apply (zenon_L58_); trivial.
% 83.75/83.89 apply (zenon_L762_); trivial.
% 83.75/83.89 (* end of lemma zenon_L763_ *)
% 83.75/83.89 assert (zenon_L764_ : (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((op2 (e22) (e23)) = (op2 (e23) (e22))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((e20) = (e21))) -> ((op2 (e22) (e21)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e20)) = (e21)) -> False).
% 83.75/83.89 do 0 intro. intros zenon_H141 zenon_Hc3 zenon_H8a zenon_H7a zenon_H5d zenon_H78 zenon_H82 zenon_H7c zenon_H94 zenon_H8e zenon_Hce zenon_H4f7 zenon_H73 zenon_H91 zenon_Ha3 zenon_H134 zenon_Ha8 zenon_Hb2 zenon_H133 zenon_Had zenon_He4 zenon_H13e zenon_H10c.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H139 | zenon_intro zenon_H147 ].
% 83.75/83.89 apply (zenon_L76_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_He1 | zenon_intro zenon_H148 ].
% 83.75/83.89 apply (zenon_L763_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_He5 | zenon_intro zenon_H10e ].
% 83.75/83.89 apply (zenon_L55_); trivial.
% 83.75/83.89 apply (zenon_L517_); trivial.
% 83.75/83.89 (* end of lemma zenon_L764_ *)
% 83.75/83.89 assert (zenon_L765_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((e20) = (e23))) -> (~((op2 (e22) (op2 (e22) (e20))) = (e20))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e21) (e20)) = (e20)) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (op2 (e22) (e20)) (e20)) = (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((e20) = (e21))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((e21) = (e22))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e22) (e23)) = (op2 (e23) (e22))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (op2 (e22) (e20)) (e22)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.75/83.89 do 0 intro. intros zenon_H15b zenon_H48b zenon_H21e zenon_H58e zenon_Hd1 zenon_Hab zenon_H14f zenon_H59e zenon_H595 zenon_H13e zenon_Had zenon_H133 zenon_Hb2 zenon_Ha8 zenon_H134 zenon_Ha3 zenon_H73 zenon_H4f7 zenon_Hce zenon_H94 zenon_Hc3 zenon_H141 zenon_H51b zenon_Hef zenon_Hf7 zenon_H597 zenon_H4cb zenon_H5a1 zenon_H466 zenon_H59b zenon_H5a9 zenon_H8e zenon_H91 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.75/83.89 apply (zenon_L41_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.75/83.89 apply (zenon_L42_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.75/83.89 apply (zenon_L734_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H59e); [ zenon_intro zenon_H21d | zenon_intro zenon_H59f ].
% 83.75/83.89 apply (zenon_L724_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H59f); [ zenon_intro zenon_He4 | zenon_intro zenon_H5a0 ].
% 83.75/83.89 apply (zenon_L764_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H5a0); [ zenon_intro zenon_H4cc | zenon_intro zenon_H92 ].
% 83.75/83.89 apply (zenon_L742_); trivial.
% 83.75/83.89 apply (zenon_L34_); trivial.
% 83.75/83.89 (* end of lemma zenon_L765_ *)
% 83.75/83.89 assert (zenon_L766_ : (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((e21) = (e23))) -> ((op2 (e21) (e23)) = (e21)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (op2 (e22) (e20)) (e22)) = (e20)) -> ((op2 (e22) (e22)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e20) (op2 (e23) (e23))) = (e20))) -> ((op2 (e20) (e23)) = (e20)) -> False).
% 83.75/83.89 do 0 intro. intros zenon_H51e zenon_H8a zenon_H7a zenon_H5d zenon_Hd6 zenon_H13c zenon_H51b zenon_H78 zenon_Hef zenon_Hf7 zenon_H597 zenon_H4cc zenon_H4cb zenon_H5a1 zenon_H501 zenon_H63.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H51e); [ zenon_intro zenon_H89 | zenon_intro zenon_H51f ].
% 83.75/83.89 apply (zenon_L31_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H51f); [ zenon_intro zenon_H47e | zenon_intro zenon_H520 ].
% 83.75/83.89 apply (zenon_L606_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H520); [ zenon_intro zenon_H51c | zenon_intro zenon_H4ff ].
% 83.75/83.89 apply (zenon_L741_); trivial.
% 83.75/83.89 apply (zenon_L595_); trivial.
% 83.75/83.89 (* end of lemma zenon_L766_ *)
% 83.75/83.89 assert (zenon_L767_ : (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (op2 (e23) (e23))) = (e20))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e22)) = (e20)) -> ((op2 (op2 (e22) (e20)) (e22)) = (e20)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e21) (e23)) = (e21)) -> (~((e21) = (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.75/83.89 do 0 intro. intros zenon_Hce zenon_H501 zenon_H5a1 zenon_H4cb zenon_H4cc zenon_H597 zenon_Hf7 zenon_Hef zenon_H51b zenon_H13c zenon_Hd6 zenon_H51e zenon_H73 zenon_H91 zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H63 | zenon_intro zenon_Hcf ].
% 83.75/83.89 apply (zenon_L766_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H74 | zenon_intro zenon_Hd0 ].
% 83.75/83.89 apply (zenon_L32_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H92 | zenon_intro zenon_H95 ].
% 83.75/83.89 apply (zenon_L34_); trivial.
% 83.75/83.89 apply (zenon_L36_); trivial.
% 83.75/83.89 (* end of lemma zenon_L767_ *)
% 83.75/83.89 assert (zenon_L768_ : (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (op2 (e22) (e20)) (e20)) = (e22))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e21)) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e21) = (e23))) -> ((op2 (e21) (e23)) = (e21)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (op2 (e22) (e20)) (e22)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e20) (op2 (e23) (e23))) = (e20))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.75/83.89 do 0 intro. intros zenon_H59e zenon_H595 zenon_H49b zenon_H11e zenon_H94 zenon_H73 zenon_H51e zenon_Hd6 zenon_H13c zenon_H51b zenon_Hef zenon_Hf7 zenon_H597 zenon_H4cb zenon_H5a1 zenon_H501 zenon_Hce zenon_H8e zenon_H91 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H59e); [ zenon_intro zenon_H21d | zenon_intro zenon_H59f ].
% 83.75/83.89 apply (zenon_L724_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H59f); [ zenon_intro zenon_He4 | zenon_intro zenon_H5a0 ].
% 83.75/83.89 apply (zenon_L745_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H5a0); [ zenon_intro zenon_H4cc | zenon_intro zenon_H92 ].
% 83.75/83.89 apply (zenon_L767_); trivial.
% 83.75/83.89 apply (zenon_L34_); trivial.
% 83.75/83.89 (* end of lemma zenon_L768_ *)
% 83.75/83.89 assert (zenon_L769_ : ((~((op2 (e22) (op2 (e22) (e20))) = (e20)))/\(((op2 (op2 (e22) (e20)) (e22)) = (e20))/\(~((op2 (op2 (e22) (e20)) (e20)) = (e22))))) -> ((((op2 (e20) (e20)) = (op2 (e20) (e20)))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e20) (e20))) = (e21)))/\((~((op2 (e22) (op2 (e20) (e20))) = (e22)))/\(~((op2 (e23) (op2 (e20) (e20))) = (e23)))))))\/((((op2 (e21) (e20)) = (op2 (e20) (e21)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e20)))/\((~((op2 (e21) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e20) (e21))) = (e22)))/\(~((op2 (e23) (op2 (e20) (e21))) = (e23)))))))\/((((op2 (e22) (e20)) = (op2 (e20) (e22)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e20)))/\((~((op2 (e21) (op2 (e20) (e22))) = (e21)))/\((~((op2 (e22) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e20) (e22))) = (e23)))))))\/((((op2 (e23) (e20)) = (op2 (e20) (e23)))/\((~((op2 (e20) (op2 (e20) (e23))) = (e20)))/\((~((op2 (e21) (op2 (e20) (e23))) = (e21)))/\((~((op2 (e22) (op2 (e20) (e23))) = (e22)))/\(~((op2 (e23) (op2 (e20) (e23))) = (e23)))))))\/((((op2 (e20) (e21)) = (op2 (e21) (e20)))/\((~((op2 (e20) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e20))) = (e21)))/\((~((op2 (e22) (op2 (e21) (e20))) = (e22)))/\(~((op2 (e23) (op2 (e21) (e20))) = (e23)))))))\/((((op2 (e21) (e21)) = (op2 (e21) (e21)))/\((~((op2 (e20) (op2 (e21) (e21))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e21) (e21))) = (e22)))/\(~((op2 (e23) (op2 (e21) (e21))) = (e23)))))))\/((((op2 (e22) (e21)) = (op2 (e21) (e22)))/\((~((op2 (e20) (op2 (e21) (e22))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e21)))/\((~((op2 (e22) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e21) (e22))) = (e23)))))))\/((((op2 (e23) (e21)) = (op2 (e21) (e23)))/\((~((op2 (e20) (op2 (e21) (e23))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e23))) = (e21)))/\((~((op2 (e22) (op2 (e21) (e23))) = (e22)))/\(~((op2 (e23) (op2 (e21) (e23))) = (e23)))))))\/((((op2 (e20) (e22)) = (op2 (e22) (e20)))/\((~((op2 (e20) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e22) (e20))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e20))) = (e22)))/\(~((op2 (e23) (op2 (e22) (e20))) = (e23)))))))\/((((op2 (e21) (e22)) = (op2 (e22) (e21)))/\((~((op2 (e20) (op2 (e22) (e21))) = (e20)))/\((~((op2 (e21) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e22)))/\(~((op2 (e23) (op2 (e22) (e21))) = (e23)))))))\/((((op2 (e22) (e22)) = (op2 (e22) (e22)))/\((~((op2 (e20) (op2 (e22) (e22))) = (e20)))/\((~((op2 (e21) (op2 (e22) (e22))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e22) (e22))) = (e23)))))))\/((((op2 (e23) (e22)) = (op2 (e22) (e23)))/\((~((op2 (e20) (op2 (e22) (e23))) = (e20)))/\((~((op2 (e21) (op2 (e22) (e23))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e23))) = (e22)))/\(~((op2 (e23) (op2 (e22) (e23))) = (e23)))))))\/((((op2 (e20) (e23)) = (op2 (e23) (e20)))/\((~((op2 (e20) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e23) (e20))) = (e21)))/\((~((op2 (e22) (op2 (e23) (e20))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e20))) = (e23)))))))\/((((op2 (e21) (e23)) = (op2 (e23) (e21)))/\((~((op2 (e20) (op2 (e23) (e21))) = (e20)))/\((~((op2 (e21) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e23) (e21))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e21))) = (e23)))))))\/((((op2 (e22) (e23)) = (op2 (e23) (e22)))/\((~((op2 (e20) (op2 (e23) (e22))) = (e20)))/\((~((op2 (e21) (op2 (e23) (e22))) = (e21)))/\((~((op2 (e22) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e22))) = (e23)))))))\/(((op2 (e23) (e23)) = (op2 (e23) (e23)))/\((~((op2 (e20) (op2 (e23) (e23))) = (e20)))/\((~((op2 (e21) (op2 (e23) (e23))) = (e21)))/\((~((op2 (e22) (op2 (e23) (e23))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23)))))))))))))))))))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((e22) = (e23))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e20) = (e23))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e21) = (e23))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((e20) = (e22))) -> (~((e21) = (e22))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((e20) = (e21))) -> False).
% 83.75/83.89 do 0 intro. intros zenon_H5b2 zenon_H5b3 zenon_Hc9 zenon_H45f zenon_Hbc zenon_H482 zenon_H472 zenon_H466 zenon_H5a9 zenon_H48d zenon_H51e zenon_H51b zenon_Hff zenon_He8 zenon_H102 zenon_H47f zenon_H49b zenon_H12c zenon_H11f zenon_H129 zenon_H134 zenon_H12f zenon_H554 zenon_H15b zenon_H21e zenon_H462 zenon_H48e zenon_Hd1 zenon_H5a1 zenon_H4cb zenon_Hf7 zenon_Hef zenon_H59e zenon_H59b zenon_Hb2 zenon_H133 zenon_H48b zenon_Hc3 zenon_H141 zenon_H13e zenon_H140 zenon_Hd6 zenon_H124 zenon_H142 zenon_Hdc zenon_Ha3 zenon_Ha8 zenon_Hce zenon_H91 zenon_H94 zenon_H14f zenon_H8e zenon_H73 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a zenon_H15c zenon_Had.
% 83.75/83.89 apply (zenon_and_s _ _ zenon_H5b2). zenon_intro zenon_H58e. zenon_intro zenon_H5b4.
% 83.75/83.89 apply (zenon_and_s _ _ zenon_H5b4). zenon_intro zenon_H597. zenon_intro zenon_H595.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H5b3); [ zenon_intro zenon_H5b6 | zenon_intro zenon_H5b5 ].
% 83.75/83.89 apply (zenon_and_s _ _ zenon_H5b6). zenon_intro zenon_Hb5. zenon_intro zenon_H5b7.
% 83.75/83.89 apply (zenon_and_s _ _ zenon_H5b7). zenon_intro zenon_H99. zenon_intro zenon_H5b8.
% 83.75/83.89 apply (zenon_and_s _ _ zenon_H5b8). zenon_intro zenon_H5ba. zenon_intro zenon_H5b9.
% 83.75/83.89 apply (zenon_and_s _ _ zenon_H5b9). zenon_intro zenon_H155. zenon_intro zenon_H5bb.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.75/83.89 apply (zenon_L40_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.75/83.89 apply (zenon_L41_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.75/83.89 apply (zenon_L42_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.75/83.89 apply (zenon_L734_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ].
% 83.75/83.89 apply (zenon_L43_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ].
% 83.75/83.89 apply (zenon_L743_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ].
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ].
% 83.75/83.89 apply (zenon_L49_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ].
% 83.75/83.89 apply (zenon_L50_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ].
% 83.75/83.89 apply (zenon_L744_); trivial.
% 83.75/83.89 apply (zenon_L746_); trivial.
% 83.75/83.89 apply (zenon_L88_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.75/83.89 apply (zenon_L724_); trivial.
% 83.75/83.89 apply (zenon_L750_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H5b5); [ zenon_intro zenon_H456 | zenon_intro zenon_H5bc ].
% 83.75/83.89 apply (zenon_L509_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H5bc); [ zenon_intro zenon_H5be | zenon_intro zenon_H5bd ].
% 83.75/83.89 apply (zenon_and_s _ _ zenon_H5be). zenon_intro zenon_H45b. zenon_intro zenon_H5bf.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.75/83.89 apply (zenon_L40_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.75/83.89 apply (zenon_L751_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.75/83.89 apply (zenon_L724_); trivial.
% 83.75/83.89 apply (zenon_L750_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H5bd); [ zenon_intro zenon_H5c1 | zenon_intro zenon_H5c0 ].
% 83.75/83.89 apply (zenon_and_s _ _ zenon_H5c1). zenon_intro zenon_H463. zenon_intro zenon_H5c2.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.75/83.89 apply (zenon_L40_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.75/83.89 apply (zenon_L41_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.75/83.89 apply (zenon_L42_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.75/83.89 apply (zenon_L734_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ].
% 83.75/83.89 apply (zenon_L43_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ].
% 83.75/83.89 apply (zenon_L743_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ].
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ].
% 83.75/83.89 apply (zenon_L49_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ].
% 83.75/83.89 apply (zenon_L50_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ].
% 83.75/83.89 apply (zenon_L519_); trivial.
% 83.75/83.89 apply (zenon_L746_); trivial.
% 83.75/83.89 apply (zenon_L88_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.75/83.89 apply (zenon_L724_); trivial.
% 83.75/83.89 apply (zenon_L750_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H5c0); [ zenon_intro zenon_H5c4 | zenon_intro zenon_H5c3 ].
% 83.75/83.89 apply (zenon_and_s _ _ zenon_H5c4). zenon_intro zenon_H467. zenon_intro zenon_H5c5.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.75/83.89 apply (zenon_L40_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.75/83.89 apply (zenon_L41_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.75/83.89 apply (zenon_L42_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.75/83.89 apply (zenon_L734_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ].
% 83.75/83.89 apply (zenon_L43_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ].
% 83.75/83.89 apply (zenon_L743_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ].
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ].
% 83.75/83.89 apply (zenon_L49_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ].
% 83.75/83.89 apply (zenon_L50_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ].
% 83.75/83.89 apply (zenon_L521_); trivial.
% 83.75/83.89 apply (zenon_L746_); trivial.
% 83.75/83.89 apply (zenon_L88_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.75/83.89 apply (zenon_L724_); trivial.
% 83.75/83.89 apply (zenon_L750_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H5c3); [ zenon_intro zenon_H5c7 | zenon_intro zenon_H5c6 ].
% 83.75/83.89 apply (zenon_and_s _ _ zenon_H5c7). zenon_intro zenon_H473. zenon_intro zenon_H5c8.
% 83.75/83.89 apply (zenon_and_s _ _ zenon_H5c8). zenon_intro zenon_H5ca. zenon_intro zenon_H5c9.
% 83.75/83.89 apply (zenon_and_s _ _ zenon_H5c9). zenon_intro zenon_H46d. zenon_intro zenon_H5cb.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.75/83.89 apply (zenon_L40_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.75/83.89 apply (zenon_L41_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.75/83.89 apply (zenon_L42_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.75/83.89 apply (zenon_L734_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ].
% 83.75/83.89 apply (zenon_L43_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ].
% 83.75/83.89 apply (zenon_L743_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ].
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ].
% 83.75/83.89 apply (zenon_L49_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ].
% 83.75/83.89 apply (zenon_L50_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ].
% 83.75/83.89 apply (zenon_L525_); trivial.
% 83.75/83.89 apply (zenon_L746_); trivial.
% 83.75/83.89 apply (zenon_L88_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.75/83.89 apply (zenon_L724_); trivial.
% 83.75/83.89 apply (zenon_L750_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H5c6); [ zenon_intro zenon_H48c | zenon_intro zenon_H5cc ].
% 83.75/83.89 apply (zenon_and_s _ _ zenon_H48c). zenon_intro zenon_H485. zenon_intro zenon_H48f.
% 83.75/83.89 apply (zenon_and_s _ _ zenon_H48f). zenon_intro zenon_H47a. zenon_intro zenon_H490.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.75/83.89 apply (zenon_L40_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.75/83.89 apply (zenon_L41_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.75/83.89 apply (zenon_L42_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.75/83.89 apply (zenon_L734_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ].
% 83.75/83.89 apply (zenon_L43_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ].
% 83.75/83.89 apply (zenon_L743_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ].
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ].
% 83.75/83.89 apply (zenon_L49_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ].
% 83.75/83.89 apply (zenon_L50_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ].
% 83.75/83.89 apply (zenon_L535_); trivial.
% 83.75/83.89 apply (zenon_L746_); trivial.
% 83.75/83.89 apply (zenon_L88_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.75/83.89 apply (zenon_L724_); trivial.
% 83.75/83.89 apply (zenon_L750_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H5cc); [ zenon_intro zenon_H4a3 | zenon_intro zenon_H5cd ].
% 83.75/83.89 apply (zenon_and_s _ _ zenon_H4a3). zenon_intro zenon_H49c. zenon_intro zenon_H4a4.
% 83.75/83.89 apply (zenon_and_s _ _ zenon_H4a4). zenon_intro zenon_H4a6. zenon_intro zenon_H4a5.
% 83.75/83.89 apply (zenon_and_s _ _ zenon_H4a5). zenon_intro zenon_H4a8. zenon_intro zenon_H4a7.
% 83.75/83.89 apply (zenon_and_s _ _ zenon_H4a7). zenon_intro zenon_H497. zenon_intro zenon_H4a9.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.75/83.89 apply (zenon_L40_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.75/83.89 apply (zenon_L41_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.75/83.89 apply (zenon_L42_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.75/83.89 apply (zenon_L734_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ].
% 83.75/83.89 apply (zenon_L43_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ].
% 83.75/83.89 apply (zenon_L743_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ].
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ].
% 83.75/83.89 apply (zenon_L49_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ].
% 83.75/83.89 apply (zenon_L50_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ].
% 83.75/83.89 apply (zenon_L752_); trivial.
% 83.75/83.89 apply (zenon_L746_); trivial.
% 83.75/83.89 apply (zenon_L88_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.75/83.89 apply (zenon_L724_); trivial.
% 83.75/83.89 apply (zenon_L750_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H5cd); [ zenon_intro zenon_H4b0 | zenon_intro zenon_H5ce ].
% 83.75/83.89 apply (zenon_and_s _ _ zenon_H4b0). zenon_intro zenon_H4af. zenon_intro zenon_H4b1.
% 83.75/83.89 apply (zenon_and_s _ _ zenon_H4b1). zenon_intro zenon_H4ab. zenon_intro zenon_H4b2.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.75/83.89 apply (zenon_L40_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.75/83.89 apply (zenon_L41_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.75/83.89 apply (zenon_L42_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.75/83.89 apply (zenon_L734_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ].
% 83.75/83.89 apply (zenon_L43_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ].
% 83.75/83.89 apply (zenon_L743_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ].
% 83.75/83.89 apply (zenon_L553_); trivial.
% 83.75/83.89 apply (zenon_L88_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.75/83.89 apply (zenon_L724_); trivial.
% 83.75/83.89 apply (zenon_L750_); trivial.
% 83.75/83.89 apply (zenon_or_s _ _ zenon_H5ce); [ zenon_intro zenon_H4bf | zenon_intro zenon_H5cf ].
% 83.75/83.89 apply (zenon_and_s _ _ zenon_H4bf). zenon_intro zenon_H4b9. zenon_intro zenon_H4c0.
% 83.75/83.89 apply (zenon_and_s _ _ zenon_H4c0). zenon_intro zenon_H4c2. zenon_intro zenon_H4c1.
% 83.75/83.89 apply (zenon_and_s _ _ zenon_H4c1). zenon_intro zenon_H4b5. zenon_intro zenon_H4c3.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.75/83.90 apply (zenon_L40_); trivial.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.75/83.90 apply (zenon_L41_); trivial.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.75/83.90 apply (zenon_L42_); trivial.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.75/83.90 apply (zenon_L734_); trivial.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ].
% 83.75/83.90 apply (zenon_L43_); trivial.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ].
% 83.75/83.90 apply (zenon_L743_); trivial.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ].
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ].
% 83.75/83.90 apply (zenon_L49_); trivial.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ].
% 83.75/83.90 apply (zenon_L50_); trivial.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ].
% 83.75/83.90 apply (zenon_L561_); trivial.
% 83.75/83.90 apply (zenon_L746_); trivial.
% 83.75/83.90 apply (zenon_L88_); trivial.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.75/83.90 apply (zenon_L724_); trivial.
% 83.75/83.90 apply (zenon_L750_); trivial.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H5cf); [ zenon_intro zenon_H4d8 | zenon_intro zenon_H5d0 ].
% 83.75/83.90 apply (zenon_and_s _ _ zenon_H4d8). zenon_intro zenon_He9. zenon_intro zenon_H4d9.
% 83.75/83.90 apply (zenon_and_s _ _ zenon_H4d9). zenon_intro zenon_H4d1. zenon_intro zenon_H4da.
% 83.75/83.90 apply (zenon_and_s _ _ zenon_H4da). zenon_intro zenon_H4dc. zenon_intro zenon_H4db.
% 83.75/83.90 apply (zenon_and_s _ _ zenon_H4db). zenon_intro zenon_H4c7. zenon_intro zenon_H4dd.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.75/83.90 apply (zenon_L40_); trivial.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.75/83.90 apply (zenon_L41_); trivial.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.75/83.90 apply (zenon_L42_); trivial.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.75/83.90 apply (zenon_L734_); trivial.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ].
% 83.75/83.90 apply (zenon_L43_); trivial.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ].
% 83.75/83.90 apply (zenon_L743_); trivial.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ].
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ].
% 83.75/83.90 apply (zenon_L49_); trivial.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ].
% 83.75/83.90 apply (zenon_L50_); trivial.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ].
% 83.75/83.90 apply (zenon_L753_); trivial.
% 83.75/83.90 apply (zenon_L746_); trivial.
% 83.75/83.90 apply (zenon_L88_); trivial.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.75/83.90 apply (zenon_L724_); trivial.
% 83.75/83.90 apply (zenon_L750_); trivial.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H5d0); [ zenon_intro zenon_H4e4 | zenon_intro zenon_H5d1 ].
% 83.75/83.90 apply (zenon_and_s _ _ zenon_H4e4). zenon_intro zenon_H4de. zenon_intro zenon_H4e5.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.75/83.90 apply (zenon_L40_); trivial.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.75/83.90 apply (zenon_L756_); trivial.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.75/83.90 apply (zenon_L724_); trivial.
% 83.75/83.90 apply (zenon_L750_); trivial.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H5d1); [ zenon_intro zenon_H4e7 | zenon_intro zenon_H5d2 ].
% 83.75/83.90 apply (zenon_and_s _ _ zenon_H4e7). zenon_intro zenon_H4e6. zenon_intro zenon_H4e8.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.75/83.90 apply (zenon_L40_); trivial.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.75/83.90 apply (zenon_L760_); trivial.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.75/83.90 apply (zenon_L724_); trivial.
% 83.75/83.90 apply (zenon_L750_); trivial.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H5d2); [ zenon_intro zenon_H4f0 | zenon_intro zenon_H5d3 ].
% 83.75/83.90 apply (zenon_and_s _ _ zenon_H4f0). zenon_intro zenon_H4e9. zenon_intro zenon_H4f1.
% 83.75/83.90 apply (zenon_and_s _ _ zenon_H4f1). zenon_intro zenon_H4f3. zenon_intro zenon_H4f2.
% 83.75/83.90 apply (zenon_and_s _ _ zenon_H4f2). zenon_intro zenon_H4f5. zenon_intro zenon_H4f4.
% 83.75/83.90 apply (zenon_and_s _ _ zenon_H4f4). zenon_intro zenon_H4eb. zenon_intro zenon_H4f6.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.75/83.90 apply (zenon_L40_); trivial.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.75/83.90 apply (zenon_L41_); trivial.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.75/83.90 apply (zenon_L42_); trivial.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.75/83.90 apply (zenon_L734_); trivial.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ].
% 83.75/83.90 apply (zenon_L43_); trivial.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ].
% 83.75/83.90 apply (zenon_L743_); trivial.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ].
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ].
% 83.75/83.90 apply (zenon_L49_); trivial.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ].
% 83.75/83.90 apply (zenon_L50_); trivial.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ].
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ].
% 83.75/83.90 apply (zenon_L42_); trivial.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ].
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H105 | zenon_intro zenon_H135 ].
% 83.75/83.90 apply (zenon_L63_); trivial.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_He2 | zenon_intro zenon_H136 ].
% 83.75/83.90 apply (zenon_L54_); trivial.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H10f ].
% 83.75/83.90 apply (zenon_L58_); trivial.
% 83.75/83.90 apply (zenon_L761_); trivial.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ].
% 83.75/83.90 apply (zenon_L71_); trivial.
% 83.75/83.90 apply (zenon_L518_); trivial.
% 83.75/83.90 apply (zenon_L746_); trivial.
% 83.75/83.90 apply (zenon_L88_); trivial.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.75/83.90 apply (zenon_L724_); trivial.
% 83.75/83.90 apply (zenon_L750_); trivial.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H5d3); [ zenon_intro zenon_H4f9 | zenon_intro zenon_H521 ].
% 83.75/83.90 apply (zenon_and_s _ _ zenon_H4f9). zenon_intro zenon_H4f7. zenon_intro zenon_H4fa.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.75/83.90 apply (zenon_L40_); trivial.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.75/83.90 apply (zenon_L765_); trivial.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.75/83.90 apply (zenon_L724_); trivial.
% 83.75/83.90 apply (zenon_L750_); trivial.
% 83.75/83.90 apply (zenon_and_s _ _ zenon_H521). zenon_intro zenon_H523. zenon_intro zenon_H522.
% 83.75/83.90 apply (zenon_and_s _ _ zenon_H522). zenon_intro zenon_H501. zenon_intro zenon_H524.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.75/83.90 apply (zenon_L40_); trivial.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.75/83.90 apply (zenon_L41_); trivial.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.75/83.90 apply (zenon_L42_); trivial.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ].
% 83.75/83.90 apply (zenon_L49_); trivial.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ].
% 83.75/83.90 apply (zenon_L50_); trivial.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ].
% 83.75/83.90 apply (zenon_L722_); trivial.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ].
% 83.75/83.90 apply (zenon_L652_); trivial.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ].
% 83.75/83.90 apply (zenon_L732_); trivial.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ].
% 83.75/83.90 apply (zenon_L71_); trivial.
% 83.75/83.90 apply (zenon_L768_); trivial.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ].
% 83.75/83.90 apply (zenon_L43_); trivial.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ].
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ].
% 83.75/83.90 apply (zenon_L49_); trivial.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ].
% 83.75/83.90 apply (zenon_L50_); trivial.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ].
% 83.75/83.90 apply (zenon_L738_); trivial.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ].
% 83.75/83.90 apply (zenon_L52_); trivial.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ].
% 83.75/83.90 apply (zenon_L732_); trivial.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ].
% 83.75/83.90 apply (zenon_L71_); trivial.
% 83.75/83.90 apply (zenon_L768_); trivial.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ].
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ].
% 83.75/83.90 apply (zenon_L49_); trivial.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ].
% 83.75/83.90 apply (zenon_L610_); trivial.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ].
% 83.75/83.90 apply (zenon_L613_); trivial.
% 83.75/83.90 apply (zenon_L746_); trivial.
% 83.75/83.90 apply (zenon_L88_); trivial.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.75/83.90 apply (zenon_L724_); trivial.
% 83.75/83.90 apply (zenon_L750_); trivial.
% 83.75/83.90 (* end of lemma zenon_L769_ *)
% 83.75/83.90 assert (zenon_L770_ : ((op2 (op2 (e22) (e21)) (e22)) = (e21)) -> ((op2 (e22) (e21)) = (e21)) -> ((op2 (e20) (e22)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> False).
% 83.75/83.90 do 0 intro. intros zenon_H5d4 zenon_He5 zenon_H45a zenon_H124.
% 83.75/83.90 elim (classic ((op2 (e21) (e22)) = (op2 (e21) (e22)))); [ zenon_intro zenon_H125 | zenon_intro zenon_Hfb ].
% 83.75/83.90 cut (((op2 (e21) (e22)) = (op2 (e21) (e22))) = ((op2 (e20) (e22)) = (op2 (e21) (e22)))).
% 83.75/83.90 intro zenon_D_pnotp.
% 83.75/83.90 apply zenon_H124.
% 83.75/83.90 rewrite <- zenon_D_pnotp.
% 83.75/83.90 exact zenon_H125.
% 83.75/83.90 cut (((op2 (e21) (e22)) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hfb].
% 83.75/83.90 cut (((op2 (e21) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H126].
% 83.75/83.90 congruence.
% 83.75/83.90 cut (((op2 (op2 (e22) (e21)) (e22)) = (e21)) = ((op2 (e21) (e22)) = (op2 (e20) (e22)))).
% 83.75/83.90 intro zenon_D_pnotp.
% 83.75/83.90 apply zenon_H126.
% 83.75/83.90 rewrite <- zenon_D_pnotp.
% 83.75/83.90 exact zenon_H5d4.
% 83.75/83.90 cut (((e21) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H526].
% 83.75/83.90 cut (((op2 (op2 (e22) (e21)) (e22)) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H5d5].
% 83.75/83.90 congruence.
% 83.75/83.90 elim (classic ((op2 (e21) (e22)) = (op2 (e21) (e22)))); [ zenon_intro zenon_H125 | zenon_intro zenon_Hfb ].
% 83.75/83.90 cut (((op2 (e21) (e22)) = (op2 (e21) (e22))) = ((op2 (op2 (e22) (e21)) (e22)) = (op2 (e21) (e22)))).
% 83.75/83.90 intro zenon_D_pnotp.
% 83.75/83.90 apply zenon_H5d5.
% 83.75/83.90 rewrite <- zenon_D_pnotp.
% 83.75/83.90 exact zenon_H125.
% 83.75/83.90 cut (((op2 (e21) (e22)) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hfb].
% 83.75/83.90 cut (((op2 (e21) (e22)) = (op2 (op2 (e22) (e21)) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H5d6].
% 83.75/83.90 congruence.
% 83.75/83.90 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Ha1].
% 83.75/83.90 cut (((e21) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H4a0].
% 83.75/83.90 congruence.
% 83.75/83.90 apply zenon_H4a0. apply sym_equal. exact zenon_He5.
% 83.75/83.90 apply zenon_Ha1. apply refl_equal.
% 83.75/83.90 apply zenon_Hfb. apply refl_equal.
% 83.75/83.90 apply zenon_Hfb. apply refl_equal.
% 83.75/83.90 apply zenon_H526. apply sym_equal. exact zenon_H45a.
% 83.75/83.90 apply zenon_Hfb. apply refl_equal.
% 83.75/83.90 apply zenon_Hfb. apply refl_equal.
% 83.75/83.90 (* end of lemma zenon_L770_ *)
% 83.75/83.90 assert (zenon_L771_ : ((op2 (op2 (e22) (e21)) (e22)) = (e21)) -> ((op2 (e22) (e21)) = (e22)) -> ((op2 (e20) (e22)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> False).
% 83.75/83.90 do 0 intro. intros zenon_H5d4 zenon_Hf5 zenon_H45a zenon_He8.
% 83.75/83.90 elim (classic ((op2 (e22) (e22)) = (op2 (e22) (e22)))); [ zenon_intro zenon_He9 | zenon_intro zenon_Hea ].
% 83.75/83.90 cut (((op2 (e22) (e22)) = (op2 (e22) (e22))) = ((op2 (e20) (e22)) = (op2 (e22) (e22)))).
% 83.75/83.90 intro zenon_D_pnotp.
% 83.75/83.90 apply zenon_He8.
% 83.75/83.90 rewrite <- zenon_D_pnotp.
% 83.75/83.90 exact zenon_He9.
% 83.75/83.90 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hea].
% 83.75/83.90 cut (((op2 (e22) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Heb].
% 83.75/83.90 congruence.
% 83.75/83.90 cut (((op2 (op2 (e22) (e21)) (e22)) = (e21)) = ((op2 (e22) (e22)) = (op2 (e20) (e22)))).
% 83.75/83.90 intro zenon_D_pnotp.
% 83.75/83.90 apply zenon_Heb.
% 83.75/83.90 rewrite <- zenon_D_pnotp.
% 83.75/83.90 exact zenon_H5d4.
% 83.75/83.90 cut (((e21) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H526].
% 83.75/83.90 cut (((op2 (op2 (e22) (e21)) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H5d7].
% 83.75/83.90 congruence.
% 83.75/83.90 elim (classic ((op2 (e22) (e22)) = (op2 (e22) (e22)))); [ zenon_intro zenon_He9 | zenon_intro zenon_Hea ].
% 83.75/83.90 cut (((op2 (e22) (e22)) = (op2 (e22) (e22))) = ((op2 (op2 (e22) (e21)) (e22)) = (op2 (e22) (e22)))).
% 83.75/83.90 intro zenon_D_pnotp.
% 83.75/83.90 apply zenon_H5d7.
% 83.75/83.90 rewrite <- zenon_D_pnotp.
% 83.75/83.90 exact zenon_He9.
% 83.75/83.90 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hea].
% 83.75/83.90 cut (((op2 (e22) (e22)) = (op2 (op2 (e22) (e21)) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H5d8].
% 83.75/83.90 congruence.
% 83.75/83.90 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Ha1].
% 83.75/83.90 cut (((e22) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H5d9].
% 83.75/83.90 congruence.
% 83.75/83.90 apply zenon_H5d9. apply sym_equal. exact zenon_Hf5.
% 83.75/83.90 apply zenon_Ha1. apply refl_equal.
% 83.75/83.90 apply zenon_Hea. apply refl_equal.
% 83.75/83.90 apply zenon_Hea. apply refl_equal.
% 83.75/83.90 apply zenon_H526. apply sym_equal. exact zenon_H45a.
% 83.75/83.90 apply zenon_Hea. apply refl_equal.
% 83.75/83.90 apply zenon_Hea. apply refl_equal.
% 83.75/83.90 (* end of lemma zenon_L771_ *)
% 83.75/83.90 assert (zenon_L772_ : (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((e22) = (op2 (e20) (e20))) -> (~((e20) = (e22))) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e20) (e22)) = (e21)) -> ((op2 (op2 (e22) (e21)) (e22)) = (e21)) -> (~((e21) = (e22))) -> False).
% 83.75/83.90 do 0 intro. intros zenon_H141 zenon_H7a zenon_Hc3 zenon_Had zenon_H124 zenon_H133 zenon_Hb2 zenon_H78 zenon_Ha3 zenon_Hd2 zenon_He8 zenon_H45a zenon_H5d4 zenon_Ha8.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H139 | zenon_intro zenon_H147 ].
% 83.75/83.90 apply (zenon_L76_); trivial.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_He1 | zenon_intro zenon_H148 ].
% 83.75/83.90 apply (zenon_L536_); trivial.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_He5 | zenon_intro zenon_H10e ].
% 83.75/83.90 apply (zenon_L770_); trivial.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H105 | zenon_intro zenon_H135 ].
% 83.75/83.90 apply (zenon_L63_); trivial.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_He2 | zenon_intro zenon_H136 ].
% 83.75/83.90 apply (zenon_L537_); trivial.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H10f ].
% 83.75/83.90 apply (zenon_L771_); trivial.
% 83.75/83.90 apply (zenon_L65_); trivial.
% 83.75/83.90 (* end of lemma zenon_L772_ *)
% 83.75/83.90 assert (zenon_L773_ : (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> ((op2 (e21) (e21)) = (e20)) -> (~((e20) = (e22))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((e21) = (e23))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((e20) = (e23))) -> ((op2 (e21) (e22)) = (e20)) -> (~((e22) = (e23))) -> False).
% 83.75/83.90 do 0 intro. intros zenon_H142 zenon_Hdc zenon_H78 zenon_Hd2 zenon_Ha3 zenon_H482 zenon_Hd6 zenon_Hac zenon_H472 zenon_H7a zenon_H5d zenon_H21e zenon_H120 zenon_H47f.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 83.75/83.90 apply (zenon_L53_); trivial.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_He2 | zenon_intro zenon_H146 ].
% 83.75/83.90 apply (zenon_L537_); trivial.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H130 ].
% 83.75/83.90 apply (zenon_L539_); trivial.
% 83.75/83.90 apply (zenon_L626_); trivial.
% 83.75/83.90 (* end of lemma zenon_L773_ *)
% 83.75/83.90 assert (zenon_L774_ : (~((op2 (e22) (op2 (e22) (e21))) = (op2 (e22) (e20)))) -> ((op2 (e22) (e21)) = (e20)) -> False).
% 83.75/83.90 do 0 intro. intros zenon_H5da zenon_He4.
% 83.75/83.90 cut (((op2 (e22) (e21)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H4b4].
% 83.75/83.90 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Ha1].
% 83.75/83.90 congruence.
% 83.75/83.90 apply zenon_Ha1. apply refl_equal.
% 83.75/83.90 exact (zenon_H4b4 zenon_He4).
% 83.75/83.90 (* end of lemma zenon_L774_ *)
% 83.75/83.90 assert (zenon_L775_ : (~((op2 (e22) (op2 (e22) (e21))) = (e21))) -> ((op2 (e22) (e20)) = (e21)) -> ((op2 (e22) (e21)) = (e20)) -> False).
% 83.75/83.90 do 0 intro. intros zenon_H5db zenon_Hbb zenon_He4.
% 83.75/83.90 cut (((op2 (e22) (e20)) = (e21)) = ((op2 (e22) (op2 (e22) (e21))) = (e21))).
% 83.75/83.90 intro zenon_D_pnotp.
% 83.75/83.90 apply zenon_H5db.
% 83.75/83.90 rewrite <- zenon_D_pnotp.
% 83.75/83.90 exact zenon_Hbb.
% 83.75/83.90 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Haf].
% 83.75/83.90 cut (((op2 (e22) (e20)) = (op2 (e22) (op2 (e22) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H5dc].
% 83.75/83.90 congruence.
% 83.75/83.90 elim (classic ((op2 (e22) (op2 (e22) (e21))) = (op2 (e22) (op2 (e22) (e21))))); [ zenon_intro zenon_H5dd | zenon_intro zenon_H5de ].
% 83.75/83.90 cut (((op2 (e22) (op2 (e22) (e21))) = (op2 (e22) (op2 (e22) (e21)))) = ((op2 (e22) (e20)) = (op2 (e22) (op2 (e22) (e21))))).
% 83.75/83.90 intro zenon_D_pnotp.
% 83.75/83.90 apply zenon_H5dc.
% 83.75/83.90 rewrite <- zenon_D_pnotp.
% 83.75/83.90 exact zenon_H5dd.
% 83.75/83.90 cut (((op2 (e22) (op2 (e22) (e21))) = (op2 (e22) (op2 (e22) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H5de].
% 83.75/83.90 cut (((op2 (e22) (op2 (e22) (e21))) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H5da].
% 83.75/83.90 congruence.
% 83.75/83.90 apply (zenon_L774_); trivial.
% 83.75/83.90 apply zenon_H5de. apply refl_equal.
% 83.75/83.90 apply zenon_H5de. apply refl_equal.
% 83.75/83.90 apply zenon_Haf. apply refl_equal.
% 83.75/83.90 (* end of lemma zenon_L775_ *)
% 83.75/83.90 assert (zenon_L776_ : (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (op2 (e22) (e21))) = (e21))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e20) = (e22))) -> ((op2 (e22) (e21)) = (e20)) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e22) (op2 (e20) (e20))) = (e22))) -> (~((e21) = (e22))) -> False).
% 83.75/83.90 do 0 intro. intros zenon_H102 zenon_H5db zenon_Had zenon_He8 zenon_H7a zenon_Hff zenon_Hef zenon_Ha3 zenon_He4 zenon_H78 zenon_H155 zenon_Ha8.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hbb | zenon_intro zenon_H103 ].
% 83.75/83.90 apply (zenon_L775_); trivial.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_He5 | zenon_intro zenon_H104 ].
% 83.75/83.90 apply (zenon_L55_); trivial.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_He7 | zenon_intro zenon_Hfc ].
% 83.75/83.90 apply (zenon_L56_); trivial.
% 83.75/83.90 apply (zenon_L86_); trivial.
% 83.75/83.90 (* end of lemma zenon_L776_ *)
% 83.75/83.90 assert (zenon_L777_ : (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((e22) = (op2 (e20) (e20))) -> (~((e21) = (e22))) -> ((op2 (e21) (e21)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e20) (e22)) = (e21)) -> ((op2 (op2 (e22) (e21)) (e22)) = (e21)) -> ((op2 (e23) (e21)) = (e20)) -> (~((e20) = (e22))) -> False).
% 83.75/83.90 do 0 intro. intros zenon_H133 zenon_Hb2 zenon_H78 zenon_Ha8 zenon_He1 zenon_He8 zenon_H45a zenon_H5d4 zenon_H11e zenon_Ha3.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H105 | zenon_intro zenon_H135 ].
% 83.75/83.90 apply (zenon_L63_); trivial.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_He2 | zenon_intro zenon_H136 ].
% 83.75/83.90 apply (zenon_L54_); trivial.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H10f ].
% 83.75/83.90 apply (zenon_L771_); trivial.
% 83.75/83.90 apply (zenon_L69_); trivial.
% 83.75/83.90 (* end of lemma zenon_L777_ *)
% 83.75/83.90 assert (zenon_L778_ : (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((e21) = (e22))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e22)) = (e21)) -> ((op2 (op2 (e22) (e21)) (e22)) = (e21)) -> ((op2 (e23) (e21)) = (e20)) -> (~((e20) = (e21))) -> False).
% 83.75/83.90 do 0 intro. intros zenon_H141 zenon_H7a zenon_Hc3 zenon_Ha3 zenon_He8 zenon_Ha8 zenon_H78 zenon_Hb2 zenon_H133 zenon_H124 zenon_H45a zenon_H5d4 zenon_H11e zenon_Had.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H139 | zenon_intro zenon_H147 ].
% 83.75/83.90 apply (zenon_L76_); trivial.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_He1 | zenon_intro zenon_H148 ].
% 83.75/83.90 apply (zenon_L777_); trivial.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_He5 | zenon_intro zenon_H10e ].
% 83.75/83.90 apply (zenon_L770_); trivial.
% 83.75/83.90 apply (zenon_L733_); trivial.
% 83.75/83.90 (* end of lemma zenon_L778_ *)
% 83.75/83.90 assert (zenon_L779_ : (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((e20) = (e21))) -> ((op2 (op2 (e22) (e21)) (e22)) = (e21)) -> ((op2 (e20) (e22)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (op2 (e22) (e21))) = (e21))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (op2 (e20) (e20))) = (e22))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((e21) = (e23))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((e20) = (e23))) -> (~((e22) = (e23))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.75/83.90 do 0 intro. intros zenon_H48e zenon_Had zenon_H5d4 zenon_H45a zenon_H124 zenon_H133 zenon_Hb2 zenon_Ha8 zenon_He8 zenon_Ha3 zenon_Hc3 zenon_H141 zenon_H102 zenon_H5db zenon_Hff zenon_Hef zenon_H155 zenon_H142 zenon_Hdc zenon_H482 zenon_Hd6 zenon_Hac zenon_H472 zenon_H21e zenon_H47f zenon_Hce zenon_H91 zenon_H94 zenon_H14f zenon_H8e zenon_H73 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H48e); [ zenon_intro zenon_Hab | zenon_intro zenon_H494 ].
% 83.75/83.90 apply (zenon_L42_); trivial.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H494); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H495 ].
% 83.75/83.90 apply (zenon_L772_); trivial.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H495); [ zenon_intro zenon_H120 | zenon_intro zenon_H74 ].
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ].
% 83.75/83.90 apply (zenon_L49_); trivial.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ].
% 83.75/83.90 apply (zenon_L773_); trivial.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ].
% 83.75/83.90 apply (zenon_L776_); trivial.
% 83.75/83.90 apply (zenon_L778_); trivial.
% 83.75/83.90 apply (zenon_L32_); trivial.
% 83.75/83.90 (* end of lemma zenon_L779_ *)
% 83.75/83.90 assert (zenon_L780_ : (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((op2 (e21) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e22) (op2 (e22) (e21))) = (e21))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((e21) = (e22))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e22)) = (e21)) -> ((op2 (op2 (e22) (e21)) (e22)) = (e21)) -> (~((e20) = (e21))) -> False).
% 83.75/83.90 do 0 intro. intros zenon_H14f zenon_H8a zenon_H5d zenon_H82 zenon_H7c zenon_H94 zenon_H8e zenon_H91 zenon_H73 zenon_Hce zenon_Hab zenon_Hd1 zenon_Hbb zenon_H5db zenon_H141 zenon_H7a zenon_Hc3 zenon_Ha3 zenon_He8 zenon_Ha8 zenon_H78 zenon_Hb2 zenon_H133 zenon_H124 zenon_H45a zenon_H5d4 zenon_Had.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ].
% 83.75/83.90 apply (zenon_L49_); trivial.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ].
% 83.75/83.90 apply (zenon_L50_); trivial.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ].
% 83.75/83.90 apply (zenon_L775_); trivial.
% 83.75/83.90 apply (zenon_L778_); trivial.
% 83.75/83.90 (* end of lemma zenon_L780_ *)
% 83.75/83.90 assert (zenon_L781_ : (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e20) = (e22))) -> ((op2 (e23) (e21)) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((e21) = (e22))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e22)) = (e21)) -> ((op2 (op2 (e22) (e21)) (e22)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e20)) = (e21)) -> False).
% 83.75/83.90 do 0 intro. intros zenon_H141 zenon_H7a zenon_Hc3 zenon_Ha3 zenon_H11e zenon_He8 zenon_Ha8 zenon_H78 zenon_Hb2 zenon_H133 zenon_H124 zenon_H45a zenon_H5d4 zenon_H13e zenon_H10c.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H139 | zenon_intro zenon_H147 ].
% 83.75/83.90 apply (zenon_L76_); trivial.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_He1 | zenon_intro zenon_H148 ].
% 83.75/83.90 apply (zenon_L777_); trivial.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_He5 | zenon_intro zenon_H10e ].
% 83.75/83.90 apply (zenon_L770_); trivial.
% 83.75/83.90 apply (zenon_L517_); trivial.
% 83.75/83.90 (* end of lemma zenon_L781_ *)
% 83.75/83.90 assert (zenon_L782_ : (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (op2 (e20) (e20))) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((e20) = (e21))) -> (~((op2 (e22) (op2 (e22) (e21))) = (e21))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((e21) = (e22))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e22)) = (e21)) -> ((op2 (op2 (e22) (e21)) (e22)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e20)) = (e21)) -> False).
% 83.75/83.90 do 0 intro. intros zenon_H14f zenon_H8a zenon_H5d zenon_H82 zenon_H7c zenon_H94 zenon_H8e zenon_H91 zenon_H73 zenon_Hce zenon_H155 zenon_Hef zenon_Hff zenon_Had zenon_H5db zenon_H102 zenon_H141 zenon_H7a zenon_Hc3 zenon_Ha3 zenon_He8 zenon_Ha8 zenon_H78 zenon_Hb2 zenon_H133 zenon_H124 zenon_H45a zenon_H5d4 zenon_H13e zenon_H10c.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ].
% 83.75/83.90 apply (zenon_L49_); trivial.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ].
% 83.75/83.90 apply (zenon_L772_); trivial.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ].
% 83.75/83.90 apply (zenon_L776_); trivial.
% 83.75/83.90 apply (zenon_L781_); trivial.
% 83.75/83.90 (* end of lemma zenon_L782_ *)
% 83.75/83.90 assert (zenon_L783_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((e20) = (e21))) -> ((op2 (op2 (e22) (e21)) (e22)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e22) (e20)) = (e20)) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> False).
% 83.75/83.90 do 0 intro. intros zenon_H45f zenon_Had zenon_H5d4 zenon_H124 zenon_H133 zenon_Hb2 zenon_Ha8 zenon_He8 zenon_Ha3 zenon_Hc3 zenon_H141 zenon_H48b zenon_H21d zenon_Hce zenon_H73 zenon_H91 zenon_H8e zenon_H94 zenon_H82 zenon_H5d zenon_H8a zenon_H14f zenon_H7a zenon_H78 zenon_H7c.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H45f); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H460 ].
% 83.75/83.90 apply (zenon_L41_); trivial.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H460); [ zenon_intro zenon_H139 | zenon_intro zenon_H461 ].
% 83.75/83.90 apply (zenon_L76_); trivial.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H461); [ zenon_intro zenon_H45a | zenon_intro zenon_H7b ].
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ].
% 83.75/83.90 apply (zenon_L49_); trivial.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ].
% 83.75/83.90 apply (zenon_L772_); trivial.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ].
% 83.75/83.90 apply (zenon_L542_); trivial.
% 83.75/83.90 apply (zenon_L778_); trivial.
% 83.75/83.90 apply (zenon_L28_); trivial.
% 83.75/83.90 (* end of lemma zenon_L783_ *)
% 83.75/83.90 assert (zenon_L784_ : (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> ((op2 (e21) (e21)) = (e21)) -> (~((e20) = (e22))) -> ((op2 (e21) (e22)) = (e20)) -> ((op2 (e21) (e23)) = (e21)) -> (~((e21) = (e22))) -> False).
% 83.75/83.90 do 0 intro. intros zenon_H142 zenon_Hdc zenon_H78 zenon_He1 zenon_Ha3 zenon_H120 zenon_H13c zenon_Ha8.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 83.75/83.90 apply (zenon_L53_); trivial.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_He2 | zenon_intro zenon_H146 ].
% 83.75/83.90 apply (zenon_L54_); trivial.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H130 ].
% 83.75/83.90 apply (zenon_L539_); trivial.
% 83.75/83.90 apply (zenon_L77_); trivial.
% 83.75/83.90 (* end of lemma zenon_L784_ *)
% 83.75/83.90 assert (zenon_L785_ : (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e21) = (e22))) -> ((op2 (e21) (e23)) = (e21)) -> ((op2 (e21) (e22)) = (e20)) -> (~((e20) = (e22))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e22)) = (e21)) -> ((op2 (op2 (e22) (e21)) (e22)) = (e21)) -> ((op2 (e23) (e21)) = (e20)) -> (~((e20) = (e21))) -> False).
% 83.75/83.90 do 0 intro. intros zenon_H141 zenon_H7a zenon_Hc3 zenon_Ha8 zenon_H13c zenon_H120 zenon_Ha3 zenon_H78 zenon_Hdc zenon_H142 zenon_H124 zenon_H45a zenon_H5d4 zenon_H11e zenon_Had.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H139 | zenon_intro zenon_H147 ].
% 83.75/83.90 apply (zenon_L76_); trivial.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_He1 | zenon_intro zenon_H148 ].
% 83.75/83.90 apply (zenon_L784_); trivial.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_He5 | zenon_intro zenon_H10e ].
% 83.75/83.90 apply (zenon_L770_); trivial.
% 83.75/83.90 apply (zenon_L733_); trivial.
% 83.75/83.90 (* end of lemma zenon_L785_ *)
% 83.75/83.90 assert (zenon_L786_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e21) (e20)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e21) = (e22))) -> ((op2 (e21) (e22)) = (e20)) -> (~((e20) = (e22))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e22)) = (e21)) -> ((op2 (op2 (e22) (e21)) (e22)) = (e21)) -> ((op2 (e23) (e21)) = (e20)) -> (~((e20) = (e21))) -> False).
% 83.75/83.90 do 0 intro. intros zenon_H140 zenon_Hd6 zenon_Hd5 zenon_He8 zenon_Hb2 zenon_H133 zenon_H141 zenon_H7a zenon_Hc3 zenon_Ha8 zenon_H120 zenon_Ha3 zenon_H78 zenon_Hdc zenon_H142 zenon_H124 zenon_H45a zenon_H5d4 zenon_H11e zenon_Had.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ].
% 83.75/83.90 apply (zenon_L52_); trivial.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ].
% 83.75/83.90 apply (zenon_L777_); trivial.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ].
% 83.75/83.90 apply (zenon_L71_); trivial.
% 83.75/83.90 apply (zenon_L785_); trivial.
% 83.75/83.90 (* end of lemma zenon_L786_ *)
% 83.75/83.90 assert (zenon_L787_ : (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (op2 (e22) (e21))) = (e21))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e21) = (e22))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e22)) = (e21)) -> ((op2 (op2 (e22) (e21)) (e22)) = (e21)) -> (~((e20) = (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((e21) = (e23))) -> ((op2 (e22) (e20)) = (e21)) -> ((op2 (e23) (e20)) = (e20)) -> (~((e20) = (e23))) -> False).
% 83.75/83.90 do 0 intro. intros zenon_H15c zenon_H8a zenon_H7a zenon_H5d zenon_H78 zenon_H82 zenon_H7c zenon_H73 zenon_H8e zenon_H14f zenon_H94 zenon_H91 zenon_Hce zenon_H5db zenon_H140 zenon_He8 zenon_Hb2 zenon_H133 zenon_H141 zenon_Hc3 zenon_Ha8 zenon_Ha3 zenon_Hdc zenon_H142 zenon_H124 zenon_H45a zenon_H5d4 zenon_Had zenon_Hd1 zenon_H48e zenon_Hd6 zenon_Hbb zenon_H10b zenon_H21e.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ].
% 83.75/83.90 apply (zenon_L43_); trivial.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ].
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H48e); [ zenon_intro zenon_Hab | zenon_intro zenon_H494 ].
% 83.75/83.90 apply (zenon_L780_); trivial.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H494); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H495 ].
% 83.75/83.90 apply (zenon_L772_); trivial.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H495); [ zenon_intro zenon_H120 | zenon_intro zenon_H74 ].
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ].
% 83.75/83.90 apply (zenon_L49_); trivial.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ].
% 83.75/83.90 apply (zenon_L541_); trivial.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ].
% 83.75/83.90 apply (zenon_L775_); trivial.
% 83.75/83.90 apply (zenon_L786_); trivial.
% 83.75/83.90 apply (zenon_L32_); trivial.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ].
% 83.75/83.90 apply (zenon_L83_); trivial.
% 83.75/83.90 apply (zenon_L630_); trivial.
% 83.75/83.90 (* end of lemma zenon_L787_ *)
% 83.75/83.90 assert (zenon_L788_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> ((op2 (e23) (e20)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (op2 (e22) (e21))) = (e21))) -> ((op2 (e22) (e20)) = (op2 (e20) (e22))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((op2 (op2 (e22) (e21)) (e22)) = (e21)) -> (~((e21) = (e22))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> False).
% 83.75/83.90 do 0 intro. intros zenon_H45f zenon_H10b zenon_H13e zenon_H5db zenon_H45b zenon_H141 zenon_Hc3 zenon_Had zenon_H124 zenon_H133 zenon_Hb2 zenon_Ha3 zenon_He8 zenon_H5d4 zenon_Ha8 zenon_Hce zenon_H73 zenon_H91 zenon_H8e zenon_H94 zenon_H82 zenon_H5d zenon_H8a zenon_H14f zenon_H7a zenon_H78 zenon_H7c.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H45f); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H460 ].
% 83.75/83.90 apply (zenon_L41_); trivial.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H460); [ zenon_intro zenon_H139 | zenon_intro zenon_H461 ].
% 83.75/83.90 apply (zenon_L76_); trivial.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H461); [ zenon_intro zenon_H45a | zenon_intro zenon_H7b ].
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ].
% 83.75/83.90 apply (zenon_L49_); trivial.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ].
% 83.75/83.90 apply (zenon_L772_); trivial.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ].
% 83.75/83.90 cut (((op2 (e22) (e20)) = (op2 (e20) (e22))) = ((op2 (e22) (op2 (e22) (e21))) = (e21))).
% 83.75/83.90 intro zenon_D_pnotp.
% 83.75/83.90 apply zenon_H5db.
% 83.75/83.90 rewrite <- zenon_D_pnotp.
% 83.75/83.90 exact zenon_H45b.
% 83.75/83.90 cut (((op2 (e20) (e22)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H5df].
% 83.75/83.90 cut (((op2 (e22) (e20)) = (op2 (e22) (op2 (e22) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H5dc].
% 83.75/83.90 congruence.
% 83.75/83.90 elim (classic ((op2 (e22) (op2 (e22) (e21))) = (op2 (e22) (op2 (e22) (e21))))); [ zenon_intro zenon_H5dd | zenon_intro zenon_H5de ].
% 83.75/83.90 cut (((op2 (e22) (op2 (e22) (e21))) = (op2 (e22) (op2 (e22) (e21)))) = ((op2 (e22) (e20)) = (op2 (e22) (op2 (e22) (e21))))).
% 83.75/83.90 intro zenon_D_pnotp.
% 83.75/83.90 apply zenon_H5dc.
% 83.75/83.90 rewrite <- zenon_D_pnotp.
% 83.75/83.90 exact zenon_H5dd.
% 83.75/83.90 cut (((op2 (e22) (op2 (e22) (e21))) = (op2 (e22) (op2 (e22) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H5de].
% 83.75/83.90 cut (((op2 (e22) (op2 (e22) (e21))) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H5da].
% 83.75/83.90 congruence.
% 83.75/83.90 apply (zenon_L774_); trivial.
% 83.75/83.90 apply zenon_H5de. apply refl_equal.
% 83.75/83.90 apply zenon_H5de. apply refl_equal.
% 83.75/83.90 exact (zenon_H5df zenon_H45a).
% 83.75/83.90 apply (zenon_L648_); trivial.
% 83.75/83.90 apply (zenon_L28_); trivial.
% 83.75/83.90 (* end of lemma zenon_L788_ *)
% 83.75/83.90 assert (zenon_L789_ : (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (op2 (e22) (e21))) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e22)) = (e21)) -> ((op2 (op2 (e22) (e21)) (e22)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> (~((e20) = (e22))) -> ((op2 (e22) (e21)) = (e20)) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e21) = (e22))) -> False).
% 83.75/83.90 do 0 intro. intros zenon_H102 zenon_H5db zenon_H124 zenon_H45a zenon_H5d4 zenon_He8 zenon_H7a zenon_Hff zenon_Hef zenon_H78 zenon_Ha3 zenon_He4 zenon_Hf8 zenon_Hf7 zenon_Ha8.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hbb | zenon_intro zenon_H103 ].
% 83.75/83.90 apply (zenon_L775_); trivial.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_He5 | zenon_intro zenon_H104 ].
% 83.75/83.90 apply (zenon_L770_); trivial.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_He7 | zenon_intro zenon_Hfc ].
% 83.75/83.90 apply (zenon_L56_); trivial.
% 83.75/83.90 apply (zenon_L61_); trivial.
% 83.75/83.90 (* end of lemma zenon_L789_ *)
% 83.75/83.90 assert (zenon_L790_ : (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((op2 (e21) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e23) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e22) (op2 (e22) (e21))) = (e21))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (e20)) = (e23)) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((e21) = (e22))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e22)) = (e21)) -> ((op2 (op2 (e22) (e21)) (e22)) = (e21)) -> (~((e20) = (e21))) -> False).
% 83.75/83.90 do 0 intro. intros zenon_H14f zenon_H91 zenon_H73 zenon_Hce zenon_Hab zenon_Hd1 zenon_H10c zenon_H13e zenon_H142 zenon_Hdc zenon_H5db zenon_H102 zenon_Hff zenon_Hef zenon_H8a zenon_H5d zenon_H82 zenon_H7c zenon_H94 zenon_H8e zenon_H12c zenon_H11f zenon_Hf7 zenon_H129 zenon_Hd5 zenon_H134 zenon_H12f zenon_H141 zenon_H7a zenon_Hc3 zenon_Ha3 zenon_He8 zenon_Ha8 zenon_H78 zenon_Hb2 zenon_H133 zenon_H124 zenon_H45a zenon_H5d4 zenon_Had.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ].
% 83.75/83.90 apply (zenon_L49_); trivial.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ].
% 83.75/83.90 apply (zenon_L50_); trivial.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ].
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H139 | zenon_intro zenon_H147 ].
% 83.75/83.90 apply (zenon_L76_); trivial.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_He1 | zenon_intro zenon_H148 ].
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 83.75/83.90 apply (zenon_L53_); trivial.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_He2 | zenon_intro zenon_H146 ].
% 83.75/83.90 apply (zenon_L54_); trivial.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H130 ].
% 83.75/83.90 apply (zenon_L789_); trivial.
% 83.75/83.90 apply (zenon_L736_); trivial.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_He5 | zenon_intro zenon_H10e ].
% 83.75/83.90 apply (zenon_L55_); trivial.
% 83.75/83.90 apply (zenon_L517_); trivial.
% 83.75/83.90 apply (zenon_L778_); trivial.
% 83.75/83.90 (* end of lemma zenon_L790_ *)
% 83.75/83.90 assert (zenon_L791_ : (~((op2 (e21) (op2 (e20) (e23))) = (op2 (e21) (e20)))) -> ((op2 (e20) (e23)) = (e20)) -> False).
% 83.75/83.90 do 0 intro. intros zenon_H5e0 zenon_H63.
% 83.75/83.90 cut (((op2 (e20) (e23)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H5e1].
% 83.75/83.90 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Haf].
% 83.75/83.90 congruence.
% 83.75/83.90 apply zenon_Haf. apply refl_equal.
% 83.75/83.90 exact (zenon_H5e1 zenon_H63).
% 83.75/83.90 (* end of lemma zenon_L791_ *)
% 83.75/83.90 assert (zenon_L792_ : (~((op2 (e21) (op2 (e20) (e23))) = (e21))) -> ((op2 (e21) (e20)) = (e21)) -> ((op2 (e20) (e23)) = (e20)) -> False).
% 83.75/83.90 do 0 intro. intros zenon_H5e2 zenon_Hac zenon_H63.
% 83.75/83.90 cut (((op2 (e21) (e20)) = (e21)) = ((op2 (e21) (op2 (e20) (e23))) = (e21))).
% 83.75/83.90 intro zenon_D_pnotp.
% 83.75/83.90 apply zenon_H5e2.
% 83.75/83.90 rewrite <- zenon_D_pnotp.
% 83.75/83.90 exact zenon_Hac.
% 83.75/83.90 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Haf].
% 83.75/83.90 cut (((op2 (e21) (e20)) = (op2 (e21) (op2 (e20) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H5e3].
% 83.75/83.90 congruence.
% 83.75/83.90 elim (classic ((op2 (e21) (op2 (e20) (e23))) = (op2 (e21) (op2 (e20) (e23))))); [ zenon_intro zenon_H5e4 | zenon_intro zenon_H5e5 ].
% 83.75/83.90 cut (((op2 (e21) (op2 (e20) (e23))) = (op2 (e21) (op2 (e20) (e23)))) = ((op2 (e21) (e20)) = (op2 (e21) (op2 (e20) (e23))))).
% 83.75/83.90 intro zenon_D_pnotp.
% 83.75/83.90 apply zenon_H5e3.
% 83.75/83.90 rewrite <- zenon_D_pnotp.
% 83.75/83.90 exact zenon_H5e4.
% 83.75/83.90 cut (((op2 (e21) (op2 (e20) (e23))) = (op2 (e21) (op2 (e20) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H5e5].
% 83.75/83.90 cut (((op2 (e21) (op2 (e20) (e23))) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H5e0].
% 83.75/83.90 congruence.
% 83.75/83.90 apply (zenon_L791_); trivial.
% 83.75/83.90 apply zenon_H5e5. apply refl_equal.
% 83.75/83.90 apply zenon_H5e5. apply refl_equal.
% 83.75/83.90 apply zenon_Haf. apply refl_equal.
% 83.75/83.90 (* end of lemma zenon_L792_ *)
% 83.75/83.90 assert (zenon_L793_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((e20) = (e21))) -> ((op2 (e23) (e20)) = (e20)) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (op2 (e22) (e21))) = (e21))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e21) = (e22))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (op2 (e22) (e21)) (e22)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((e21) = (e23))) -> (~((e20) = (e23))) -> (~((op2 (e21) (op2 (e20) (e23))) = (e21))) -> ((op2 (e20) (e23)) = (e20)) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> False).
% 83.75/83.90 do 0 intro. intros zenon_H45f zenon_Had zenon_H10b zenon_H15c zenon_H8a zenon_H5d zenon_H82 zenon_H73 zenon_H8e zenon_H14f zenon_H94 zenon_H91 zenon_Hce zenon_H5db zenon_H140 zenon_He8 zenon_Hb2 zenon_H133 zenon_H141 zenon_Hc3 zenon_Ha8 zenon_Ha3 zenon_Hdc zenon_H142 zenon_H124 zenon_H5d4 zenon_Hd1 zenon_H48e zenon_Hd6 zenon_H21e zenon_H5e2 zenon_H63 zenon_H15b zenon_H7a zenon_H78 zenon_H7c.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H45f); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H460 ].
% 83.75/83.90 apply (zenon_L41_); trivial.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H460); [ zenon_intro zenon_H139 | zenon_intro zenon_H461 ].
% 83.75/83.90 apply (zenon_L76_); trivial.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H461); [ zenon_intro zenon_H45a | zenon_intro zenon_H7b ].
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.75/83.90 apply (zenon_L41_); trivial.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.75/83.90 apply (zenon_L792_); trivial.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.75/83.90 apply (zenon_L787_); trivial.
% 83.75/83.90 apply (zenon_L64_); trivial.
% 83.75/83.90 apply (zenon_L28_); trivial.
% 83.75/83.90 (* end of lemma zenon_L793_ *)
% 83.75/83.90 assert (zenon_L794_ : (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> (~((e21) = (e22))) -> ((op2 (e21) (e21)) = (e21)) -> (~((e20) = (e22))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((e21) = (e23))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((e20) = (e23))) -> ((op2 (e21) (e22)) = (e20)) -> (~((e22) = (e23))) -> False).
% 83.75/83.90 do 0 intro. intros zenon_H142 zenon_Hdc zenon_H78 zenon_Ha8 zenon_He1 zenon_Ha3 zenon_H482 zenon_Hd6 zenon_Hac zenon_H472 zenon_H7a zenon_H5d zenon_H21e zenon_H120 zenon_H47f.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 83.75/83.90 apply (zenon_L53_); trivial.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_He2 | zenon_intro zenon_H146 ].
% 83.75/83.90 apply (zenon_L54_); trivial.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H130 ].
% 83.75/83.90 apply (zenon_L539_); trivial.
% 83.75/83.90 apply (zenon_L626_); trivial.
% 83.75/83.90 (* end of lemma zenon_L794_ *)
% 83.75/83.90 assert (zenon_L795_ : (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e22) = (e23))) -> ((op2 (e21) (e22)) = (e20)) -> (~((e20) = (e23))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((e21) = (e23))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((e20) = (e22))) -> (~((e21) = (e22))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e22)) = (e21)) -> ((op2 (op2 (e22) (e21)) (e22)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e21) (e20)) = (e21)) -> ((op2 (e20) (e21)) = (op2 (e21) (e20))) -> False).
% 83.75/83.90 do 0 intro. intros zenon_H141 zenon_Hc3 zenon_H47f zenon_H120 zenon_H21e zenon_H5d zenon_H7a zenon_H472 zenon_Hd6 zenon_H482 zenon_Ha3 zenon_Ha8 zenon_H78 zenon_Hdc zenon_H142 zenon_H124 zenon_H45a zenon_H5d4 zenon_H511 zenon_Hac zenon_H467.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H139 | zenon_intro zenon_H147 ].
% 83.75/83.90 apply (zenon_L76_); trivial.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_He1 | zenon_intro zenon_H148 ].
% 83.75/83.90 apply (zenon_L794_); trivial.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_He5 | zenon_intro zenon_H10e ].
% 83.75/83.90 apply (zenon_L770_); trivial.
% 83.75/83.90 cut (((op2 (e21) (e20)) = (e21)) = ((op2 (e20) (e21)) = (op2 (e23) (e21)))).
% 83.75/83.90 intro zenon_D_pnotp.
% 83.75/83.90 apply zenon_H511.
% 83.75/83.90 rewrite <- zenon_D_pnotp.
% 83.75/83.90 exact zenon_Hac.
% 83.75/83.90 cut (((e21) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H13f].
% 83.75/83.90 cut (((op2 (e21) (e20)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H469].
% 83.75/83.90 congruence.
% 83.75/83.90 elim (classic ((op2 (e20) (e21)) = (op2 (e20) (e21)))); [ zenon_intro zenon_H106 | zenon_intro zenon_H107 ].
% 83.75/83.90 cut (((op2 (e20) (e21)) = (op2 (e20) (e21))) = ((op2 (e21) (e20)) = (op2 (e20) (e21)))).
% 83.75/83.90 intro zenon_D_pnotp.
% 83.75/83.90 apply zenon_H469.
% 83.75/83.90 rewrite <- zenon_D_pnotp.
% 83.75/83.90 exact zenon_H106.
% 83.75/83.90 cut (((op2 (e20) (e21)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H107].
% 83.75/83.90 cut (((op2 (e20) (e21)) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H46a].
% 83.75/83.90 congruence.
% 83.75/83.90 exact (zenon_H46a zenon_H467).
% 83.75/83.90 apply zenon_H107. apply refl_equal.
% 83.75/83.90 apply zenon_H107. apply refl_equal.
% 83.75/83.90 apply zenon_H13f. apply sym_equal. exact zenon_H10e.
% 83.75/83.90 (* end of lemma zenon_L795_ *)
% 83.75/83.90 assert (zenon_L796_ : (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((e20) = (e21))) -> ((op2 (e20) (e21)) = (op2 (e21) (e20))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((op2 (op2 (e22) (e21)) (e22)) = (e21)) -> ((op2 (e20) (e22)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((e21) = (e22))) -> (~((e20) = (e22))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((e21) = (e23))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((e20) = (e23))) -> (~((e22) = (e23))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.75/83.90 do 0 intro. intros zenon_H48e zenon_He8 zenon_Hb2 zenon_H133 zenon_Had zenon_H467 zenon_Hac zenon_H511 zenon_H5d4 zenon_H45a zenon_H124 zenon_H142 zenon_Hdc zenon_Ha8 zenon_Ha3 zenon_H482 zenon_Hd6 zenon_H472 zenon_H21e zenon_H47f zenon_Hc3 zenon_H141 zenon_H8e zenon_H73 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H48e); [ zenon_intro zenon_Hab | zenon_intro zenon_H494 ].
% 83.75/83.90 apply (zenon_L42_); trivial.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H494); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H495 ].
% 83.75/83.90 apply (zenon_L772_); trivial.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H495); [ zenon_intro zenon_H120 | zenon_intro zenon_H74 ].
% 83.75/83.90 apply (zenon_L795_); trivial.
% 83.75/83.90 apply (zenon_L32_); trivial.
% 83.75/83.90 (* end of lemma zenon_L796_ *)
% 83.75/83.90 assert (zenon_L797_ : (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e20) = (e21))) -> ((op2 (e20) (e21)) = (op2 (e21) (e20))) -> ((op2 (e21) (e20)) = (e20)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((e21) = (e22))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e22)) = (e21)) -> ((op2 (op2 (e22) (e21)) (e22)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e20)) = (e21)) -> False).
% 83.75/83.90 do 0 intro. intros zenon_H14f zenon_H8a zenon_H5d zenon_H82 zenon_H7c zenon_H94 zenon_H8e zenon_H91 zenon_H73 zenon_Hce zenon_Had zenon_H467 zenon_Hab zenon_H466 zenon_H141 zenon_H7a zenon_Hc3 zenon_Ha3 zenon_He8 zenon_Ha8 zenon_H78 zenon_Hb2 zenon_H133 zenon_H124 zenon_H45a zenon_H5d4 zenon_H13e zenon_H10c.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ].
% 83.75/83.90 apply (zenon_L49_); trivial.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ].
% 83.75/83.90 apply (zenon_L772_); trivial.
% 83.75/83.90 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ].
% 83.75/83.90 apply (zenon_L521_); trivial.
% 83.75/83.90 apply (zenon_L781_); trivial.
% 83.75/83.90 (* end of lemma zenon_L797_ *)
% 83.75/83.90 assert (zenon_L798_ : (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e22) (op2 (e22) (e21))) = (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (op2 (e22) (e21)) (e22)) = (e21)) -> ((op2 (e20) (e22)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((e22) = (op2 (e20) (e20))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((op2 (e21) (e20)) = (e20)) -> (~((op2 (e21) (op2 (e21) (e21))) = (e21))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((e20) = (e21))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> ((op2 (e23) (e20)) = (e21)) -> (~((e21) = (e23))) -> False).
% 83.75/83.91 do 0 intro. intros zenon_H15c zenon_H12f zenon_H134 zenon_H129 zenon_H11f zenon_H12c zenon_H5db zenon_Hd1 zenon_H13e zenon_H5d4 zenon_H45a zenon_H124 zenon_H133 zenon_Hb2 zenon_H78 zenon_Ha8 zenon_He8 zenon_Ha3 zenon_Hc3 zenon_H7a zenon_H141 zenon_H140 zenon_Hab zenon_H46d zenon_H102 zenon_Hff zenon_Hef zenon_Hf7 zenon_Hdc zenon_H142 zenon_Had zenon_Hce zenon_H73 zenon_H91 zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H5d zenon_H8a zenon_H14f zenon_H10c zenon_Hd6.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ].
% 83.75/83.91 apply (zenon_L43_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ].
% 83.75/83.91 apply (zenon_L790_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ].
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ].
% 83.75/83.91 apply (zenon_L49_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ].
% 83.75/83.91 apply (zenon_L772_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ].
% 83.75/83.91 apply (zenon_L525_); trivial.
% 83.75/83.91 apply (zenon_L781_); trivial.
% 83.75/83.91 apply (zenon_L88_); trivial.
% 83.75/83.91 (* end of lemma zenon_L798_ *)
% 83.75/83.91 assert (zenon_L799_ : (~((op2 (e22) (op2 (e21) (e21))) = (op2 (e22) (e22)))) -> ((op2 (e21) (e21)) = (e22)) -> False).
% 83.75/83.91 do 0 intro. intros zenon_H5e6 zenon_He2.
% 83.75/83.91 cut (((op2 (e21) (e21)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_He3].
% 83.75/83.91 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Ha1].
% 83.75/83.91 congruence.
% 83.75/83.91 apply zenon_Ha1. apply refl_equal.
% 83.75/83.91 exact (zenon_He3 zenon_He2).
% 83.75/83.91 (* end of lemma zenon_L799_ *)
% 83.75/83.91 assert (zenon_L800_ : (~((op2 (e22) (op2 (e21) (e21))) = (e22))) -> ((op2 (e22) (e22)) = (e22)) -> ((op2 (e21) (e21)) = (e22)) -> False).
% 83.75/83.91 do 0 intro. intros zenon_H5e7 zenon_Hf9 zenon_He2.
% 83.75/83.91 cut (((op2 (e22) (e22)) = (e22)) = ((op2 (e22) (op2 (e21) (e21))) = (e22))).
% 83.75/83.91 intro zenon_D_pnotp.
% 83.75/83.91 apply zenon_H5e7.
% 83.75/83.91 rewrite <- zenon_D_pnotp.
% 83.75/83.91 exact zenon_Hf9.
% 83.75/83.91 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Ha1].
% 83.75/83.91 cut (((op2 (e22) (e22)) = (op2 (e22) (op2 (e21) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H5e8].
% 83.75/83.91 congruence.
% 83.75/83.91 elim (classic ((op2 (e22) (op2 (e21) (e21))) = (op2 (e22) (op2 (e21) (e21))))); [ zenon_intro zenon_H5e9 | zenon_intro zenon_H5ea ].
% 83.75/83.91 cut (((op2 (e22) (op2 (e21) (e21))) = (op2 (e22) (op2 (e21) (e21)))) = ((op2 (e22) (e22)) = (op2 (e22) (op2 (e21) (e21))))).
% 83.75/83.91 intro zenon_D_pnotp.
% 83.75/83.91 apply zenon_H5e8.
% 83.75/83.91 rewrite <- zenon_D_pnotp.
% 83.75/83.91 exact zenon_H5e9.
% 83.75/83.91 cut (((op2 (e22) (op2 (e21) (e21))) = (op2 (e22) (op2 (e21) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H5ea].
% 83.75/83.91 cut (((op2 (e22) (op2 (e21) (e21))) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H5e6].
% 83.75/83.91 congruence.
% 83.75/83.91 apply (zenon_L799_); trivial.
% 83.75/83.91 apply zenon_H5ea. apply refl_equal.
% 83.75/83.91 apply zenon_H5ea. apply refl_equal.
% 83.75/83.91 apply zenon_Ha1. apply refl_equal.
% 83.75/83.91 (* end of lemma zenon_L800_ *)
% 83.75/83.91 assert (zenon_L801_ : (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((e21) = (e22))) -> (~((op2 (e22) (op2 (e21) (e21))) = (e22))) -> ((op2 (e22) (e21)) = (e20)) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((e20) = (e21))) -> (~((op2 (e22) (op2 (e22) (e21))) = (e21))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((e20) = (e22))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((e21) = (e23))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((e20) = (e23))) -> ((op2 (e21) (e22)) = (e20)) -> (~((e22) = (e23))) -> False).
% 83.75/83.91 do 0 intro. intros zenon_H142 zenon_Hdc zenon_Ha8 zenon_H5e7 zenon_He4 zenon_H78 zenon_Hef zenon_Hff zenon_He8 zenon_Had zenon_H5db zenon_H102 zenon_Ha3 zenon_H482 zenon_Hd6 zenon_Hac zenon_H472 zenon_H7a zenon_H5d zenon_H21e zenon_H120 zenon_H47f.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 83.75/83.91 apply (zenon_L53_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_He2 | zenon_intro zenon_H146 ].
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hbb | zenon_intro zenon_H103 ].
% 83.75/83.91 apply (zenon_L775_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_He5 | zenon_intro zenon_H104 ].
% 83.75/83.91 apply (zenon_L55_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_He7 | zenon_intro zenon_Hfc ].
% 83.75/83.91 apply (zenon_L56_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Hee | zenon_intro zenon_H100 ].
% 83.75/83.91 apply (zenon_L57_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H101 ].
% 83.75/83.91 apply (zenon_L58_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_Hf9 | zenon_intro zenon_Hfd ].
% 83.75/83.91 apply (zenon_L800_); trivial.
% 83.75/83.91 apply (zenon_L60_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H130 ].
% 83.75/83.91 apply (zenon_L539_); trivial.
% 83.75/83.91 apply (zenon_L626_); trivial.
% 83.75/83.91 (* end of lemma zenon_L801_ *)
% 83.75/83.91 assert (zenon_L802_ : (~((op2 (e21) (op2 (e21) (e22))) = (op2 (e21) (e20)))) -> ((op2 (e21) (e22)) = (e20)) -> False).
% 83.75/83.91 do 0 intro. intros zenon_H5eb zenon_H120.
% 83.75/83.91 cut (((op2 (e21) (e22)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H5ec].
% 83.75/83.91 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Haf].
% 83.75/83.91 congruence.
% 83.75/83.91 apply zenon_Haf. apply refl_equal.
% 83.75/83.91 exact (zenon_H5ec zenon_H120).
% 83.75/83.91 (* end of lemma zenon_L802_ *)
% 83.75/83.91 assert (zenon_L803_ : (~((op2 (e21) (op2 (e21) (e22))) = (e21))) -> ((op2 (e21) (e20)) = (e21)) -> ((op2 (e21) (e22)) = (e20)) -> False).
% 83.75/83.91 do 0 intro. intros zenon_H486 zenon_Hac zenon_H120.
% 83.75/83.91 cut (((op2 (e21) (e20)) = (e21)) = ((op2 (e21) (op2 (e21) (e22))) = (e21))).
% 83.75/83.91 intro zenon_D_pnotp.
% 83.75/83.91 apply zenon_H486.
% 83.75/83.91 rewrite <- zenon_D_pnotp.
% 83.75/83.91 exact zenon_Hac.
% 83.75/83.91 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Haf].
% 83.75/83.91 cut (((op2 (e21) (e20)) = (op2 (e21) (op2 (e21) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H5ed].
% 83.75/83.91 congruence.
% 83.75/83.91 elim (classic ((op2 (e21) (op2 (e21) (e22))) = (op2 (e21) (op2 (e21) (e22))))); [ zenon_intro zenon_H557 | zenon_intro zenon_H558 ].
% 83.75/83.91 cut (((op2 (e21) (op2 (e21) (e22))) = (op2 (e21) (op2 (e21) (e22)))) = ((op2 (e21) (e20)) = (op2 (e21) (op2 (e21) (e22))))).
% 83.75/83.91 intro zenon_D_pnotp.
% 83.75/83.91 apply zenon_H5ed.
% 83.75/83.91 rewrite <- zenon_D_pnotp.
% 83.75/83.91 exact zenon_H557.
% 83.75/83.91 cut (((op2 (e21) (op2 (e21) (e22))) = (op2 (e21) (op2 (e21) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H558].
% 83.75/83.91 cut (((op2 (e21) (op2 (e21) (e22))) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H5eb].
% 83.75/83.91 congruence.
% 83.75/83.91 apply (zenon_L802_); trivial.
% 83.75/83.91 apply zenon_H558. apply refl_equal.
% 83.75/83.91 apply zenon_H558. apply refl_equal.
% 83.75/83.91 apply zenon_Haf. apply refl_equal.
% 83.75/83.91 (* end of lemma zenon_L803_ *)
% 83.75/83.91 assert (zenon_L804_ : (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((e21) = (e22))) -> ((op2 (op2 (e22) (e21)) (e22)) = (e21)) -> ((op2 (e20) (e22)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e21) (op2 (e21) (e22))) = (e21))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.75/83.91 do 0 intro. intros zenon_H48e zenon_Ha8 zenon_H5d4 zenon_H45a zenon_He8 zenon_Ha3 zenon_Hb2 zenon_H133 zenon_H124 zenon_Had zenon_Hc3 zenon_H141 zenon_Hac zenon_H486 zenon_H8e zenon_H73 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H48e); [ zenon_intro zenon_Hab | zenon_intro zenon_H494 ].
% 83.75/83.91 apply (zenon_L42_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H494); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H495 ].
% 83.75/83.91 apply (zenon_L772_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H495); [ zenon_intro zenon_H120 | zenon_intro zenon_H74 ].
% 83.75/83.91 apply (zenon_L803_); trivial.
% 83.75/83.91 apply (zenon_L32_); trivial.
% 83.75/83.91 (* end of lemma zenon_L804_ *)
% 83.75/83.91 assert (zenon_L805_ : (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((op2 (e21) (e21)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e20)) = (e23)) -> (~((e21) = (e23))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> ((op2 (op2 (e22) (e21)) (e22)) = (e21)) -> ((op2 (e20) (e22)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e22) (op2 (e22) (e21))) = (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e21) (e20)) = (e20)) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> (~((e20) = (e22))) -> ((op2 (e22) (e21)) = (e20)) -> (~((op2 (e22) (op2 (e21) (e23))) = (e22))) -> (~((e21) = (e22))) -> False).
% 83.75/83.91 do 0 intro. intros zenon_H142 zenon_Hdc zenon_He1 zenon_Hf7 zenon_H152 zenon_Hd6 zenon_H102 zenon_H5d4 zenon_H45a zenon_H124 zenon_H133 zenon_Hb2 zenon_Hc3 zenon_H141 zenon_H5db zenon_Hd1 zenon_Hab zenon_Hce zenon_H73 zenon_H91 zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H5d zenon_H8a zenon_H14f zenon_Had zenon_He8 zenon_H7a zenon_Hff zenon_Hef zenon_H78 zenon_Ha3 zenon_He4 zenon_H497 zenon_Ha8.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 83.75/83.91 apply (zenon_L53_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_He2 | zenon_intro zenon_H146 ].
% 83.75/83.91 apply (zenon_L54_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H130 ].
% 83.75/83.91 apply (zenon_L516_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hbb | zenon_intro zenon_H103 ].
% 83.75/83.91 apply (zenon_L780_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_He5 | zenon_intro zenon_H104 ].
% 83.75/83.91 apply (zenon_L55_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_He7 | zenon_intro zenon_Hfc ].
% 83.75/83.91 apply (zenon_L56_); trivial.
% 83.75/83.91 apply (zenon_L547_); trivial.
% 83.75/83.91 (* end of lemma zenon_L805_ *)
% 83.75/83.91 assert (zenon_L806_ : (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((e21) = (e23))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((e20) = (e23))) -> ((op2 (e21) (e22)) = (e20)) -> ((op2 (e23) (e21)) = (op2 (e21) (e23))) -> ((op2 (e23) (e21)) = (e21)) -> (~((op2 (e21) (op2 (e21) (e23))) = (e21))) -> False).
% 83.75/83.91 do 0 intro. intros zenon_H482 zenon_Hd6 zenon_Hac zenon_H472 zenon_H7a zenon_H5d zenon_H21e zenon_H120 zenon_H49c zenon_H10e zenon_H4a8.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H482); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H483 ].
% 83.75/83.91 apply (zenon_L52_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H483); [ zenon_intro zenon_H471 | zenon_intro zenon_H484 ].
% 83.75/83.91 apply (zenon_L529_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H484); [ zenon_intro zenon_H12a | zenon_intro zenon_H47e ].
% 83.75/83.91 apply (zenon_L625_); trivial.
% 83.75/83.91 elim (classic ((e21) = (e21))); [ zenon_intro zenon_Hae | zenon_intro zenon_Haf ].
% 83.75/83.91 cut (((e21) = (e21)) = ((op2 (e21) (op2 (e21) (e23))) = (e21))).
% 83.75/83.91 intro zenon_D_pnotp.
% 83.75/83.91 apply zenon_H4a8.
% 83.75/83.91 rewrite <- zenon_D_pnotp.
% 83.75/83.91 exact zenon_Hae.
% 83.75/83.91 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Haf].
% 83.75/83.91 cut (((e21) = (op2 (e21) (op2 (e21) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H5ee].
% 83.75/83.91 congruence.
% 83.75/83.91 cut (((op2 (e23) (e21)) = (op2 (e21) (e23))) = ((e21) = (op2 (e21) (op2 (e21) (e23))))).
% 83.75/83.91 intro zenon_D_pnotp.
% 83.75/83.91 apply zenon_H5ee.
% 83.75/83.91 rewrite <- zenon_D_pnotp.
% 83.75/83.91 exact zenon_H49c.
% 83.75/83.91 cut (((op2 (e21) (e23)) = (op2 (e21) (op2 (e21) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H5ef].
% 83.75/83.91 cut (((op2 (e23) (e21)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H5a4].
% 83.75/83.91 congruence.
% 83.75/83.91 exact (zenon_H5a4 zenon_H10e).
% 83.75/83.91 cut (((e23) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H577].
% 83.75/83.91 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Haf].
% 83.75/83.91 congruence.
% 83.75/83.91 apply zenon_Haf. apply refl_equal.
% 83.75/83.91 apply zenon_H577. apply sym_equal. exact zenon_H47e.
% 83.75/83.91 apply zenon_Haf. apply refl_equal.
% 83.75/83.91 apply zenon_Haf. apply refl_equal.
% 83.75/83.91 (* end of lemma zenon_L806_ *)
% 83.75/83.91 assert (zenon_L807_ : (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e22) = (e23))) -> (~((e20) = (e22))) -> (~((e21) = (e22))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((e20) = (e21))) -> ((op2 (e22) (e21)) = (e20)) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((e21) = (e23))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((e20) = (e23))) -> ((op2 (e21) (e22)) = (e20)) -> ((op2 (e23) (e21)) = (op2 (e21) (e23))) -> (~((op2 (e21) (op2 (e21) (e23))) = (e21))) -> False).
% 83.75/83.91 do 0 intro. intros zenon_H141 zenon_Hc3 zenon_H47f zenon_Ha3 zenon_Ha8 zenon_H78 zenon_Hdc zenon_H142 zenon_Had zenon_He4 zenon_H482 zenon_Hd6 zenon_Hac zenon_H472 zenon_H7a zenon_H5d zenon_H21e zenon_H120 zenon_H49c zenon_H4a8.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H139 | zenon_intro zenon_H147 ].
% 83.75/83.91 apply (zenon_L76_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_He1 | zenon_intro zenon_H148 ].
% 83.75/83.91 apply (zenon_L794_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_He5 | zenon_intro zenon_H10e ].
% 83.75/83.91 apply (zenon_L55_); trivial.
% 83.75/83.91 apply (zenon_L806_); trivial.
% 83.75/83.91 (* end of lemma zenon_L807_ *)
% 83.75/83.91 assert (zenon_L808_ : (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((e21) = (e23))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (op2 (e22) (e20))) = (e20))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((op2 (e23) (e20)) = (e20)) -> (~((e20) = (e23))) -> False).
% 83.75/83.91 do 0 intro. intros zenon_H15c zenon_Hb2 zenon_Hd6 zenon_Hac zenon_H8a zenon_H7a zenon_H5d zenon_H78 zenon_H82 zenon_H7c zenon_H94 zenon_H8e zenon_H91 zenon_H73 zenon_H4ab zenon_Hce zenon_H10b zenon_H21e.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ].
% 83.75/83.91 apply (zenon_L43_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ].
% 83.75/83.91 apply (zenon_L52_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ].
% 83.75/83.91 apply (zenon_L553_); trivial.
% 83.75/83.91 apply (zenon_L630_); trivial.
% 83.75/83.91 (* end of lemma zenon_L808_ *)
% 83.75/83.91 assert (zenon_L809_ : (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e21) (op2 (e22) (e21))) = (e21))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((e21) = (e22))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e22)) = (e21)) -> ((op2 (op2 (e22) (e21)) (e22)) = (e21)) -> (~((e20) = (e21))) -> False).
% 83.75/83.91 do 0 intro. intros zenon_H14f zenon_H8a zenon_H5d zenon_H82 zenon_H7c zenon_H94 zenon_H8e zenon_H91 zenon_H73 zenon_Hce zenon_Hac zenon_H4b5 zenon_H141 zenon_H7a zenon_Hc3 zenon_Ha3 zenon_He8 zenon_Ha8 zenon_H78 zenon_Hb2 zenon_H133 zenon_H124 zenon_H45a zenon_H5d4 zenon_Had.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ].
% 83.75/83.91 apply (zenon_L49_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ].
% 83.75/83.91 apply (zenon_L772_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ].
% 83.75/83.91 apply (zenon_L558_); trivial.
% 83.75/83.91 apply (zenon_L778_); trivial.
% 83.75/83.91 (* end of lemma zenon_L809_ *)
% 83.75/83.91 assert (zenon_L810_ : (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (op2 (e22) (e21))) = (e21))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> (~((e20) = (e22))) -> ((op2 (e22) (e21)) = (e20)) -> (~((op2 (e22) (op2 (e22) (e22))) = (e22))) -> (~((e21) = (e22))) -> False).
% 83.75/83.91 do 0 intro. intros zenon_H102 zenon_H5db zenon_Had zenon_He8 zenon_H7a zenon_Hff zenon_Hef zenon_H78 zenon_Ha3 zenon_He4 zenon_H4c7 zenon_Ha8.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hbb | zenon_intro zenon_H103 ].
% 83.75/83.91 apply (zenon_L775_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_He5 | zenon_intro zenon_H104 ].
% 83.75/83.91 apply (zenon_L55_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_He7 | zenon_intro zenon_Hfc ].
% 83.75/83.91 apply (zenon_L56_); trivial.
% 83.75/83.91 apply (zenon_L567_); trivial.
% 83.75/83.91 (* end of lemma zenon_L810_ *)
% 83.75/83.91 assert (zenon_L811_ : (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((e20) = (e21))) -> ((op2 (op2 (e22) (e21)) (e22)) = (e21)) -> ((op2 (e20) (e22)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (op2 (e22) (e21))) = (e21))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (op2 (e22) (e22))) = (e22))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((e21) = (e23))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((e20) = (e23))) -> (~((e22) = (e23))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.75/83.91 do 0 intro. intros zenon_H48e zenon_Had zenon_H5d4 zenon_H45a zenon_H124 zenon_H133 zenon_Hb2 zenon_Ha8 zenon_He8 zenon_Ha3 zenon_Hc3 zenon_H141 zenon_H102 zenon_H5db zenon_Hff zenon_Hef zenon_H4c7 zenon_H142 zenon_Hdc zenon_H482 zenon_Hd6 zenon_Hac zenon_H472 zenon_H21e zenon_H47f zenon_Hce zenon_H91 zenon_H94 zenon_H14f zenon_H8e zenon_H73 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H48e); [ zenon_intro zenon_Hab | zenon_intro zenon_H494 ].
% 83.75/83.91 apply (zenon_L42_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H494); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H495 ].
% 83.75/83.91 apply (zenon_L772_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H495); [ zenon_intro zenon_H120 | zenon_intro zenon_H74 ].
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ].
% 83.75/83.91 apply (zenon_L49_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ].
% 83.75/83.91 apply (zenon_L773_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ].
% 83.75/83.91 apply (zenon_L810_); trivial.
% 83.75/83.91 apply (zenon_L778_); trivial.
% 83.75/83.91 apply (zenon_L32_); trivial.
% 83.75/83.91 (* end of lemma zenon_L811_ *)
% 83.75/83.91 assert (zenon_L812_ : (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (op2 (e22) (e22))) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((e20) = (e21))) -> (~((op2 (e22) (op2 (e22) (e21))) = (e21))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((e21) = (e22))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e22)) = (e21)) -> ((op2 (op2 (e22) (e21)) (e22)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e20)) = (e21)) -> False).
% 83.75/83.91 do 0 intro. intros zenon_H14f zenon_H8a zenon_H5d zenon_H82 zenon_H7c zenon_H94 zenon_H8e zenon_H91 zenon_H73 zenon_Hce zenon_H4c7 zenon_Hef zenon_Hff zenon_Had zenon_H5db zenon_H102 zenon_H141 zenon_H7a zenon_Hc3 zenon_Ha3 zenon_He8 zenon_Ha8 zenon_H78 zenon_Hb2 zenon_H133 zenon_H124 zenon_H45a zenon_H5d4 zenon_H13e zenon_H10c.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ].
% 83.75/83.91 apply (zenon_L49_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ].
% 83.75/83.91 apply (zenon_L772_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ].
% 83.75/83.91 apply (zenon_L810_); trivial.
% 83.75/83.91 apply (zenon_L781_); trivial.
% 83.75/83.91 (* end of lemma zenon_L812_ *)
% 83.75/83.91 assert (zenon_L813_ : ((op2 (e22) (e23)) = (e21)) -> ((op2 (e23) (e22)) = (op2 (e22) (e23))) -> ((op2 (e20) (e22)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> False).
% 83.75/83.91 do 0 intro. intros zenon_Hfc zenon_H4de zenon_H45a zenon_H112.
% 83.75/83.91 elim (classic ((op2 (e23) (e22)) = (op2 (e23) (e22)))); [ zenon_intro zenon_H113 | zenon_intro zenon_H114 ].
% 83.75/83.91 cut (((op2 (e23) (e22)) = (op2 (e23) (e22))) = ((op2 (e20) (e22)) = (op2 (e23) (e22)))).
% 83.75/83.91 intro zenon_D_pnotp.
% 83.75/83.91 apply zenon_H112.
% 83.75/83.91 rewrite <- zenon_D_pnotp.
% 83.75/83.91 exact zenon_H113.
% 83.75/83.91 cut (((op2 (e23) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H114].
% 83.75/83.91 cut (((op2 (e23) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H115].
% 83.75/83.91 congruence.
% 83.75/83.91 cut (((op2 (e22) (e23)) = (e21)) = ((op2 (e23) (e22)) = (op2 (e20) (e22)))).
% 83.75/83.91 intro zenon_D_pnotp.
% 83.75/83.91 apply zenon_H115.
% 83.75/83.91 rewrite <- zenon_D_pnotp.
% 83.75/83.91 exact zenon_Hfc.
% 83.75/83.91 cut (((e21) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H526].
% 83.75/83.91 cut (((op2 (e22) (e23)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H4f8].
% 83.75/83.91 congruence.
% 83.75/83.91 elim (classic ((op2 (e23) (e22)) = (op2 (e23) (e22)))); [ zenon_intro zenon_H113 | zenon_intro zenon_H114 ].
% 83.75/83.91 cut (((op2 (e23) (e22)) = (op2 (e23) (e22))) = ((op2 (e22) (e23)) = (op2 (e23) (e22)))).
% 83.75/83.91 intro zenon_D_pnotp.
% 83.75/83.91 apply zenon_H4f8.
% 83.75/83.91 rewrite <- zenon_D_pnotp.
% 83.75/83.91 exact zenon_H113.
% 83.75/83.91 cut (((op2 (e23) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H114].
% 83.75/83.91 cut (((op2 (e23) (e22)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H4e3].
% 83.75/83.91 congruence.
% 83.75/83.91 exact (zenon_H4e3 zenon_H4de).
% 83.75/83.91 apply zenon_H114. apply refl_equal.
% 83.75/83.91 apply zenon_H114. apply refl_equal.
% 83.75/83.91 apply zenon_H526. apply sym_equal. exact zenon_H45a.
% 83.75/83.91 apply zenon_H114. apply refl_equal.
% 83.75/83.91 apply zenon_H114. apply refl_equal.
% 83.75/83.91 (* end of lemma zenon_L813_ *)
% 83.75/83.91 assert (zenon_L814_ : (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> ((op2 (e22) (e21)) = (e20)) -> (~((op2 (e22) (op2 (e22) (e21))) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (op2 (e22) (e21)) (e22)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((op2 (e23) (e22)) = (op2 (e22) (e23))) -> ((op2 (e20) (e22)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> False).
% 83.75/83.91 do 0 intro. intros zenon_H102 zenon_He4 zenon_H5db zenon_H124 zenon_H5d4 zenon_He8 zenon_H78 zenon_H7a zenon_H4de zenon_H45a zenon_H112.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hbb | zenon_intro zenon_H103 ].
% 83.75/83.91 apply (zenon_L775_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_He5 | zenon_intro zenon_H104 ].
% 83.75/83.91 apply (zenon_L770_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_He7 | zenon_intro zenon_Hfc ].
% 83.75/83.91 apply (zenon_L56_); trivial.
% 83.75/83.91 apply (zenon_L813_); trivial.
% 83.75/83.91 (* end of lemma zenon_L814_ *)
% 83.75/83.91 assert (zenon_L815_ : (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e22)) = (op2 (e22) (e23))) -> (~((op2 (e22) (op2 (e22) (e21))) = (e21))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((e21) = (e22))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e22)) = (e21)) -> ((op2 (op2 (e22) (e21)) (e22)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e20)) = (e21)) -> False).
% 83.75/83.91 do 0 intro. intros zenon_H14f zenon_H8a zenon_H5d zenon_H82 zenon_H7c zenon_H94 zenon_H8e zenon_H91 zenon_H73 zenon_Hce zenon_Had zenon_H112 zenon_H4de zenon_H5db zenon_H102 zenon_H141 zenon_H7a zenon_Hc3 zenon_Ha3 zenon_He8 zenon_Ha8 zenon_H78 zenon_Hb2 zenon_H133 zenon_H124 zenon_H45a zenon_H5d4 zenon_H13e zenon_H10c.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ].
% 83.75/83.91 apply (zenon_L49_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ].
% 83.75/83.91 apply (zenon_L772_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ].
% 83.75/83.91 apply (zenon_L814_); trivial.
% 83.75/83.91 apply (zenon_L781_); trivial.
% 83.75/83.91 (* end of lemma zenon_L815_ *)
% 83.75/83.91 assert (zenon_L816_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> ((op2 (e23) (e20)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (op2 (e22) (e21))) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (op2 (e22) (e21)) (e22)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e23) (e22)) = (op2 (e22) (e23))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e20) = (e21))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((e20) = (e22))) -> (~((e21) = (e22))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> False).
% 83.75/83.91 do 0 intro. intros zenon_H45f zenon_H10b zenon_H13e zenon_H102 zenon_H5db zenon_H124 zenon_H5d4 zenon_He8 zenon_H4de zenon_H112 zenon_H141 zenon_Hc3 zenon_Had zenon_H133 zenon_Hb2 zenon_Ha3 zenon_Ha8 zenon_Hce zenon_H73 zenon_H91 zenon_H8e zenon_H94 zenon_H82 zenon_H5d zenon_H8a zenon_H14f zenon_H7a zenon_H78 zenon_H7c.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H45f); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H460 ].
% 83.75/83.91 apply (zenon_L41_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H460); [ zenon_intro zenon_H139 | zenon_intro zenon_H461 ].
% 83.75/83.91 apply (zenon_L76_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H461); [ zenon_intro zenon_H45a | zenon_intro zenon_H7b ].
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ].
% 83.75/83.91 apply (zenon_L49_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ].
% 83.75/83.91 apply (zenon_L772_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ].
% 83.75/83.91 apply (zenon_L814_); trivial.
% 83.75/83.91 apply (zenon_L648_); trivial.
% 83.75/83.91 apply (zenon_L28_); trivial.
% 83.75/83.91 (* end of lemma zenon_L816_ *)
% 83.75/83.91 assert (zenon_L817_ : (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((e21) = (e22))) -> ((op2 (e21) (e21)) = (e21)) -> ((op2 (e22) (e21)) = (e20)) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e20) = (e21))) -> ((op2 (e23) (e20)) = (e21)) -> (~((e20) = (e22))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e23)) = (op2 (e23) (e20))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.75/83.91 do 0 intro. intros zenon_H133 zenon_Hb2 zenon_Ha8 zenon_He1 zenon_He4 zenon_H134 zenon_Had zenon_H10c zenon_Ha3 zenon_H91 zenon_H73 zenon_H462 zenon_H4e6 zenon_Hce zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H105 | zenon_intro zenon_H135 ].
% 83.75/83.91 apply (zenon_L63_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_He2 | zenon_intro zenon_H136 ].
% 83.75/83.91 apply (zenon_L54_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H10f ].
% 83.75/83.91 apply (zenon_L58_); trivial.
% 83.75/83.91 apply (zenon_L757_); trivial.
% 83.75/83.91 (* end of lemma zenon_L817_ *)
% 83.75/83.91 assert (zenon_L818_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((op2 (e21) (e20)) = (e20)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((op2 (e20) (e23)) = (op2 (e23) (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e21) = (e22))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e22) (e20)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> (~((e20) = (e22))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((e20) = (e21))) -> ((op2 (e22) (e21)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e20)) = (e21)) -> False).
% 83.75/83.91 do 0 intro. intros zenon_H140 zenon_Hab zenon_H8a zenon_H5d zenon_H82 zenon_H7c zenon_H94 zenon_H8e zenon_Hce zenon_H4e6 zenon_H462 zenon_H73 zenon_H91 zenon_H134 zenon_Hb2 zenon_H133 zenon_H124 zenon_H141 zenon_Hc3 zenon_Ha8 zenon_H102 zenon_Hd6 zenon_H152 zenon_He8 zenon_H7a zenon_Hff zenon_Hef zenon_H78 zenon_Ha3 zenon_Hf7 zenon_Hdc zenon_H142 zenon_Had zenon_He4 zenon_H13e zenon_H10c.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ].
% 83.75/83.91 apply (zenon_L42_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ].
% 83.75/83.91 apply (zenon_L817_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ].
% 83.75/83.91 apply (zenon_L71_); trivial.
% 83.75/83.91 apply (zenon_L518_); trivial.
% 83.75/83.91 (* end of lemma zenon_L818_ *)
% 83.75/83.91 assert (zenon_L819_ : (~((op2 (e21) (op2 (e23) (e20))) = (op2 (e21) (e20)))) -> ((op2 (e23) (e20)) = (e20)) -> False).
% 83.75/83.91 do 0 intro. intros zenon_H5f0 zenon_H10b.
% 83.75/83.91 cut (((op2 (e23) (e20)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H5f1].
% 83.75/83.91 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Haf].
% 83.75/83.91 congruence.
% 83.75/83.91 apply zenon_Haf. apply refl_equal.
% 83.75/83.91 exact (zenon_H5f1 zenon_H10b).
% 83.75/83.91 (* end of lemma zenon_L819_ *)
% 83.75/83.91 assert (zenon_L820_ : (~((op2 (e21) (op2 (e23) (e20))) = (e21))) -> ((op2 (e21) (e20)) = (e21)) -> ((op2 (e23) (e20)) = (e20)) -> False).
% 83.75/83.91 do 0 intro. intros zenon_H5f2 zenon_Hac zenon_H10b.
% 83.75/83.91 cut (((op2 (e21) (e20)) = (e21)) = ((op2 (e21) (op2 (e23) (e20))) = (e21))).
% 83.75/83.91 intro zenon_D_pnotp.
% 83.75/83.91 apply zenon_H5f2.
% 83.75/83.91 rewrite <- zenon_D_pnotp.
% 83.75/83.91 exact zenon_Hac.
% 83.75/83.91 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Haf].
% 83.75/83.91 cut (((op2 (e21) (e20)) = (op2 (e21) (op2 (e23) (e20))))); [idtac | apply NNPP; zenon_intro zenon_H5f3].
% 83.75/83.91 congruence.
% 83.75/83.91 elim (classic ((op2 (e21) (op2 (e23) (e20))) = (op2 (e21) (op2 (e23) (e20))))); [ zenon_intro zenon_H5f4 | zenon_intro zenon_H5f5 ].
% 83.75/83.91 cut (((op2 (e21) (op2 (e23) (e20))) = (op2 (e21) (op2 (e23) (e20)))) = ((op2 (e21) (e20)) = (op2 (e21) (op2 (e23) (e20))))).
% 83.75/83.91 intro zenon_D_pnotp.
% 83.75/83.91 apply zenon_H5f3.
% 83.75/83.91 rewrite <- zenon_D_pnotp.
% 83.75/83.91 exact zenon_H5f4.
% 83.75/83.91 cut (((op2 (e21) (op2 (e23) (e20))) = (op2 (e21) (op2 (e23) (e20))))); [idtac | apply NNPP; zenon_intro zenon_H5f5].
% 83.75/83.91 cut (((op2 (e21) (op2 (e23) (e20))) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H5f0].
% 83.75/83.91 congruence.
% 83.75/83.91 apply (zenon_L819_); trivial.
% 83.75/83.91 apply zenon_H5f5. apply refl_equal.
% 83.75/83.91 apply zenon_H5f5. apply refl_equal.
% 83.75/83.91 apply zenon_Haf. apply refl_equal.
% 83.75/83.91 (* end of lemma zenon_L820_ *)
% 83.75/83.91 assert (zenon_L821_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((e20) = (e21))) -> ((op2 (e23) (e20)) = (e20)) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (op2 (e22) (e21))) = (e21))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e21) = (e22))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (op2 (e22) (e21)) (e22)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((e21) = (e23))) -> (~((e20) = (e23))) -> (~((op2 (e21) (op2 (e23) (e20))) = (e21))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> False).
% 83.75/83.91 do 0 intro. intros zenon_H45f zenon_Had zenon_H10b zenon_H15c zenon_H8a zenon_H5d zenon_H82 zenon_H73 zenon_H8e zenon_H14f zenon_H94 zenon_H91 zenon_Hce zenon_H5db zenon_H140 zenon_He8 zenon_Hb2 zenon_H133 zenon_H141 zenon_Hc3 zenon_Ha8 zenon_Ha3 zenon_Hdc zenon_H142 zenon_H124 zenon_H5d4 zenon_Hd1 zenon_H48e zenon_Hd6 zenon_H21e zenon_H5f2 zenon_H15b zenon_H7a zenon_H78 zenon_H7c.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H45f); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H460 ].
% 83.75/83.91 apply (zenon_L41_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H460); [ zenon_intro zenon_H139 | zenon_intro zenon_H461 ].
% 83.75/83.91 apply (zenon_L76_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H461); [ zenon_intro zenon_H45a | zenon_intro zenon_H7b ].
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.75/83.91 apply (zenon_L41_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.75/83.91 apply (zenon_L820_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.75/83.91 apply (zenon_L787_); trivial.
% 83.75/83.91 apply (zenon_L64_); trivial.
% 83.75/83.91 apply (zenon_L28_); trivial.
% 83.75/83.91 (* end of lemma zenon_L821_ *)
% 83.75/83.91 assert (zenon_L822_ : (~((e23) = (e23))) -> False).
% 83.75/83.91 do 0 intro. intros zenon_Hd8.
% 83.75/83.91 apply zenon_Hd8. apply refl_equal.
% 83.75/83.91 (* end of lemma zenon_L822_ *)
% 83.75/83.91 assert (zenon_L823_ : (~((op2 (e23) (e21)) = (op2 (e23) (op2 (e23) (e21))))) -> ((op2 (e23) (e21)) = (e21)) -> False).
% 83.75/83.91 do 0 intro. intros zenon_H5f6 zenon_H10e.
% 83.75/83.91 cut (((e21) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H13f].
% 83.75/83.91 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_Hd8].
% 83.75/83.91 congruence.
% 83.75/83.91 apply zenon_Hd8. apply refl_equal.
% 83.75/83.91 apply zenon_H13f. apply sym_equal. exact zenon_H10e.
% 83.75/83.91 (* end of lemma zenon_L823_ *)
% 83.75/83.91 assert (zenon_L824_ : ((op2 (e21) (e23)) = (op2 (e23) (e21))) -> ((op2 (e21) (e23)) = (e23)) -> ((op2 (e23) (e21)) = (e21)) -> (~((op2 (e23) (op2 (e23) (e21))) = (e23))) -> False).
% 83.75/83.91 do 0 intro. intros zenon_H4e9 zenon_H47e zenon_H10e zenon_H4f6.
% 83.75/83.91 elim (classic ((e23) = (e23))); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hd8 ].
% 83.75/83.91 cut (((e23) = (e23)) = ((op2 (e23) (op2 (e23) (e21))) = (e23))).
% 83.75/83.91 intro zenon_D_pnotp.
% 83.75/83.91 apply zenon_H4f6.
% 83.75/83.91 rewrite <- zenon_D_pnotp.
% 83.75/83.91 exact zenon_Hd7.
% 83.75/83.91 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_Hd8].
% 83.75/83.91 cut (((e23) = (op2 (e23) (op2 (e23) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H5f7].
% 83.75/83.91 congruence.
% 83.75/83.91 cut (((op2 (e21) (e23)) = (op2 (e23) (e21))) = ((e23) = (op2 (e23) (op2 (e23) (e21))))).
% 83.75/83.91 intro zenon_D_pnotp.
% 83.75/83.91 apply zenon_H5f7.
% 83.75/83.91 rewrite <- zenon_D_pnotp.
% 83.75/83.91 exact zenon_H4e9.
% 83.75/83.91 cut (((op2 (e23) (e21)) = (op2 (e23) (op2 (e23) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H5f6].
% 83.75/83.91 cut (((op2 (e21) (e23)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H481].
% 83.75/83.91 congruence.
% 83.75/83.91 exact (zenon_H481 zenon_H47e).
% 83.75/83.91 apply (zenon_L823_); trivial.
% 83.75/83.91 apply zenon_Hd8. apply refl_equal.
% 83.75/83.91 apply zenon_Hd8. apply refl_equal.
% 83.75/83.91 (* end of lemma zenon_L824_ *)
% 83.75/83.91 assert (zenon_L825_ : (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((e21) = (e23))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((e20) = (e23))) -> ((op2 (e21) (e22)) = (e20)) -> ((op2 (e21) (e23)) = (op2 (e23) (e21))) -> ((op2 (e23) (e21)) = (e21)) -> (~((op2 (e23) (op2 (e23) (e21))) = (e23))) -> False).
% 83.75/83.91 do 0 intro. intros zenon_H482 zenon_Hd6 zenon_Hac zenon_H472 zenon_H7a zenon_H5d zenon_H21e zenon_H120 zenon_H4e9 zenon_H10e zenon_H4f6.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H482); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H483 ].
% 83.75/83.91 apply (zenon_L52_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H483); [ zenon_intro zenon_H471 | zenon_intro zenon_H484 ].
% 83.75/83.91 apply (zenon_L529_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H484); [ zenon_intro zenon_H12a | zenon_intro zenon_H47e ].
% 83.75/83.91 apply (zenon_L625_); trivial.
% 83.75/83.91 apply (zenon_L824_); trivial.
% 83.75/83.91 (* end of lemma zenon_L825_ *)
% 83.75/83.91 assert (zenon_L826_ : (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e22) = (e23))) -> (~((e20) = (e22))) -> (~((e21) = (e22))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e22)) = (e21)) -> ((op2 (op2 (e22) (e21)) (e22)) = (e21)) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((e21) = (e23))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((e20) = (e23))) -> ((op2 (e21) (e22)) = (e20)) -> ((op2 (e21) (e23)) = (op2 (e23) (e21))) -> (~((op2 (e23) (op2 (e23) (e21))) = (e23))) -> False).
% 83.75/83.91 do 0 intro. intros zenon_H141 zenon_Hc3 zenon_H47f zenon_Ha3 zenon_Ha8 zenon_H78 zenon_Hdc zenon_H142 zenon_H124 zenon_H45a zenon_H5d4 zenon_H482 zenon_Hd6 zenon_Hac zenon_H472 zenon_H7a zenon_H5d zenon_H21e zenon_H120 zenon_H4e9 zenon_H4f6.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H139 | zenon_intro zenon_H147 ].
% 83.75/83.91 apply (zenon_L76_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_He1 | zenon_intro zenon_H148 ].
% 83.75/83.91 apply (zenon_L794_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_He5 | zenon_intro zenon_H10e ].
% 83.75/83.91 apply (zenon_L770_); trivial.
% 83.75/83.91 apply (zenon_L825_); trivial.
% 83.75/83.91 (* end of lemma zenon_L826_ *)
% 83.75/83.91 assert (zenon_L827_ : (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((e20) = (e21))) -> (~((op2 (e23) (op2 (e23) (e21))) = (e23))) -> ((op2 (e21) (e23)) = (op2 (e23) (e21))) -> (~((e20) = (e23))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((op2 (e21) (e20)) = (e21)) -> (~((e21) = (e23))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> ((op2 (op2 (e22) (e21)) (e22)) = (e21)) -> ((op2 (e20) (e22)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((e21) = (e22))) -> (~((e20) = (e22))) -> (~((e22) = (e23))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.75/83.91 do 0 intro. intros zenon_H48e zenon_He8 zenon_Hb2 zenon_H133 zenon_Had zenon_H4f6 zenon_H4e9 zenon_H21e zenon_H472 zenon_Hac zenon_Hd6 zenon_H482 zenon_H5d4 zenon_H45a zenon_H124 zenon_H142 zenon_Hdc zenon_Ha8 zenon_Ha3 zenon_H47f zenon_Hc3 zenon_H141 zenon_H8e zenon_H73 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H48e); [ zenon_intro zenon_Hab | zenon_intro zenon_H494 ].
% 83.75/83.91 apply (zenon_L42_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H494); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H495 ].
% 83.75/83.91 apply (zenon_L772_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H495); [ zenon_intro zenon_H120 | zenon_intro zenon_H74 ].
% 83.75/83.91 apply (zenon_L826_); trivial.
% 83.75/83.91 apply (zenon_L32_); trivial.
% 83.75/83.91 (* end of lemma zenon_L827_ *)
% 83.75/83.91 assert (zenon_L828_ : (~((op2 (e20) (op2 (e23) (e22))) = (op2 (e20) (e23)))) -> ((op2 (e23) (e22)) = (e23)) -> False).
% 83.75/83.91 do 0 intro. intros zenon_H5f8 zenon_H582.
% 83.75/83.91 cut (((op2 (e23) (e22)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H5f9].
% 83.75/83.91 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H60].
% 83.75/83.91 congruence.
% 83.75/83.91 apply zenon_H60. apply refl_equal.
% 83.75/83.91 exact (zenon_H5f9 zenon_H582).
% 83.75/83.91 (* end of lemma zenon_L828_ *)
% 83.75/83.91 assert (zenon_L829_ : (~((op2 (e20) (op2 (e23) (e22))) = (e20))) -> ((op2 (e20) (e23)) = (e20)) -> ((op2 (e23) (e22)) = (e23)) -> False).
% 83.75/83.91 do 0 intro. intros zenon_H5fa zenon_H63 zenon_H582.
% 83.75/83.91 cut (((op2 (e20) (e23)) = (e20)) = ((op2 (e20) (op2 (e23) (e22))) = (e20))).
% 83.75/83.91 intro zenon_D_pnotp.
% 83.75/83.91 apply zenon_H5fa.
% 83.75/83.91 rewrite <- zenon_D_pnotp.
% 83.75/83.91 exact zenon_H63.
% 83.75/83.91 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H60].
% 83.75/83.91 cut (((op2 (e20) (e23)) = (op2 (e20) (op2 (e23) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H5fb].
% 83.75/83.91 congruence.
% 83.75/83.91 elim (classic ((op2 (e20) (op2 (e23) (e22))) = (op2 (e20) (op2 (e23) (e22))))); [ zenon_intro zenon_H5fc | zenon_intro zenon_H5fd ].
% 83.75/83.91 cut (((op2 (e20) (op2 (e23) (e22))) = (op2 (e20) (op2 (e23) (e22)))) = ((op2 (e20) (e23)) = (op2 (e20) (op2 (e23) (e22))))).
% 83.75/83.91 intro zenon_D_pnotp.
% 83.75/83.91 apply zenon_H5fb.
% 83.75/83.91 rewrite <- zenon_D_pnotp.
% 83.75/83.91 exact zenon_H5fc.
% 83.75/83.91 cut (((op2 (e20) (op2 (e23) (e22))) = (op2 (e20) (op2 (e23) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H5fd].
% 83.75/83.91 cut (((op2 (e20) (op2 (e23) (e22))) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H5f8].
% 83.75/83.91 congruence.
% 83.75/83.91 apply (zenon_L828_); trivial.
% 83.75/83.91 apply zenon_H5fd. apply refl_equal.
% 83.75/83.91 apply zenon_H5fd. apply refl_equal.
% 83.75/83.91 apply zenon_H60. apply refl_equal.
% 83.75/83.91 (* end of lemma zenon_L829_ *)
% 83.75/83.91 assert (zenon_L830_ : (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((op2 (e23) (e22)) = (e23)) -> (~((op2 (e20) (op2 (e23) (e22))) = (e20))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.75/83.91 do 0 intro. intros zenon_Hce zenon_H582 zenon_H5fa zenon_H73 zenon_H91 zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H63 | zenon_intro zenon_Hcf ].
% 83.75/83.91 apply (zenon_L829_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H74 | zenon_intro zenon_Hd0 ].
% 83.75/83.91 apply (zenon_L32_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H92 | zenon_intro zenon_H95 ].
% 83.75/83.91 apply (zenon_L34_); trivial.
% 83.75/83.91 apply (zenon_L36_); trivial.
% 83.75/83.91 (* end of lemma zenon_L830_ *)
% 83.75/83.91 assert (zenon_L831_ : (~((op2 (e22) (op2 (e23) (e23))) = (op2 (e22) (e22)))) -> ((op2 (e23) (e23)) = (e22)) -> False).
% 83.75/83.91 do 0 intro. intros zenon_H5fe zenon_H4fc.
% 83.75/83.91 cut (((op2 (e23) (e23)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H5ff].
% 83.75/83.91 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Ha1].
% 83.75/83.91 congruence.
% 83.75/83.91 apply zenon_Ha1. apply refl_equal.
% 83.75/83.91 exact (zenon_H5ff zenon_H4fc).
% 83.75/83.91 (* end of lemma zenon_L831_ *)
% 83.75/83.91 assert (zenon_L832_ : (~((op2 (e22) (op2 (e23) (e23))) = (e22))) -> ((op2 (e22) (e22)) = (e22)) -> ((op2 (e23) (e23)) = (e22)) -> False).
% 83.75/83.91 do 0 intro. intros zenon_H600 zenon_Hf9 zenon_H4fc.
% 83.75/83.91 cut (((op2 (e22) (e22)) = (e22)) = ((op2 (e22) (op2 (e23) (e23))) = (e22))).
% 83.75/83.91 intro zenon_D_pnotp.
% 83.75/83.91 apply zenon_H600.
% 83.75/83.91 rewrite <- zenon_D_pnotp.
% 83.75/83.91 exact zenon_Hf9.
% 83.75/83.91 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Ha1].
% 83.75/83.91 cut (((op2 (e22) (e22)) = (op2 (e22) (op2 (e23) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H601].
% 83.75/83.91 congruence.
% 83.75/83.91 elim (classic ((op2 (e22) (op2 (e23) (e23))) = (op2 (e22) (op2 (e23) (e23))))); [ zenon_intro zenon_H602 | zenon_intro zenon_H603 ].
% 83.75/83.91 cut (((op2 (e22) (op2 (e23) (e23))) = (op2 (e22) (op2 (e23) (e23)))) = ((op2 (e22) (e22)) = (op2 (e22) (op2 (e23) (e23))))).
% 83.75/83.91 intro zenon_D_pnotp.
% 83.75/83.91 apply zenon_H601.
% 83.75/83.91 rewrite <- zenon_D_pnotp.
% 83.75/83.91 exact zenon_H602.
% 83.75/83.91 cut (((op2 (e22) (op2 (e23) (e23))) = (op2 (e22) (op2 (e23) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H603].
% 83.75/83.91 cut (((op2 (e22) (op2 (e23) (e23))) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H5fe].
% 83.75/83.91 congruence.
% 83.75/83.91 apply (zenon_L831_); trivial.
% 83.75/83.91 apply zenon_H603. apply refl_equal.
% 83.75/83.91 apply zenon_H603. apply refl_equal.
% 83.75/83.91 apply zenon_Ha1. apply refl_equal.
% 83.75/83.91 (* end of lemma zenon_L832_ *)
% 83.75/83.91 assert (zenon_L833_ : (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (~((e22) = (e23))) -> ((op2 (e21) (e23)) = (e23)) -> (~((e21) = (e22))) -> ((op2 (e22) (e23)) = (e21)) -> (~((op2 (e22) (op2 (e23) (e23))) = (e22))) -> ((op2 (e22) (e22)) = (e22)) -> False).
% 83.75/83.91 do 0 intro. intros zenon_H57f zenon_H82 zenon_H78 zenon_H47f zenon_H47e zenon_Ha8 zenon_Hfc zenon_H600 zenon_Hf9.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H57f); [ zenon_intro zenon_H81 | zenon_intro zenon_H580 ].
% 83.75/83.91 apply (zenon_L29_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H580); [ zenon_intro zenon_H130 | zenon_intro zenon_H581 ].
% 83.75/83.91 apply (zenon_L532_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H581); [ zenon_intro zenon_Hfd | zenon_intro zenon_H4fc ].
% 83.75/83.91 apply (zenon_L60_); trivial.
% 83.75/83.91 apply (zenon_L832_); trivial.
% 83.75/83.91 (* end of lemma zenon_L833_ *)
% 83.75/83.91 assert (zenon_L834_ : (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e20) = (e22))) -> ((op2 (e22) (e21)) = (e20)) -> (~((op2 (e22) (op2 (e23) (e23))) = (e22))) -> ((op2 (e21) (e23)) = (e23)) -> (~((e22) = (e23))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e22) (e23)) = (e21)) -> (~((e21) = (e22))) -> False).
% 83.75/83.91 do 0 intro. intros zenon_Hff zenon_Hef zenon_Ha3 zenon_He4 zenon_H600 zenon_H47e zenon_H47f zenon_H78 zenon_H82 zenon_H57f zenon_Hfc zenon_Ha8.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Hee | zenon_intro zenon_H100 ].
% 83.75/83.91 apply (zenon_L57_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H101 ].
% 83.75/83.91 apply (zenon_L58_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_Hf9 | zenon_intro zenon_Hfd ].
% 83.75/83.91 apply (zenon_L833_); trivial.
% 83.75/83.91 apply (zenon_L60_); trivial.
% 83.75/83.91 (* end of lemma zenon_L834_ *)
% 83.75/83.91 assert (zenon_L835_ : (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((e21) = (e22))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e22) = (e23))) -> (~((op2 (e22) (op2 (e23) (e23))) = (e22))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((op2 (op2 (e22) (e21)) (e22)) = (e21)) -> ((op2 (e20) (e22)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((e21) = (e23))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((op2 (e21) (e20)) = (e21)) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e20) = (e21))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> ((op2 (e23) (e20)) = (e20)) -> (~((e20) = (e23))) -> False).
% 83.75/83.91 do 0 intro. intros zenon_H15c zenon_H8a zenon_H7a zenon_H5d zenon_H78 zenon_H82 zenon_H7c zenon_H73 zenon_H8e zenon_H14f zenon_H94 zenon_H91 zenon_Hce zenon_Hdc zenon_H142 zenon_Ha8 zenon_H57f zenon_H47f zenon_H600 zenon_Ha3 zenon_Hef zenon_Hff zenon_He8 zenon_H5d4 zenon_H45a zenon_H124 zenon_Hd6 zenon_H102 zenon_H472 zenon_Hac zenon_H482 zenon_H13e zenon_H141 zenon_Hc3 zenon_Had zenon_H133 zenon_Hb2 zenon_H48e zenon_H10b zenon_H21e.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ].
% 83.75/83.91 apply (zenon_L43_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ].
% 83.75/83.91 apply (zenon_L52_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ].
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H48e); [ zenon_intro zenon_Hab | zenon_intro zenon_H494 ].
% 83.75/83.91 apply (zenon_L42_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H494); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H495 ].
% 83.75/83.91 apply (zenon_L772_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H495); [ zenon_intro zenon_H120 | zenon_intro zenon_H74 ].
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ].
% 83.75/83.91 apply (zenon_L49_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ].
% 83.75/83.91 apply (zenon_L773_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ].
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H482); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H483 ].
% 83.75/83.91 apply (zenon_L52_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H483); [ zenon_intro zenon_H471 | zenon_intro zenon_H484 ].
% 83.75/83.91 apply (zenon_L529_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H484); [ zenon_intro zenon_H12a | zenon_intro zenon_H47e ].
% 83.75/83.91 apply (zenon_L625_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hbb | zenon_intro zenon_H103 ].
% 83.75/83.91 apply (zenon_L83_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_He5 | zenon_intro zenon_H104 ].
% 83.75/83.91 apply (zenon_L770_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_He7 | zenon_intro zenon_Hfc ].
% 83.75/83.91 apply (zenon_L56_); trivial.
% 83.75/83.91 apply (zenon_L834_); trivial.
% 83.75/83.91 apply (zenon_L648_); trivial.
% 83.75/83.91 apply (zenon_L32_); trivial.
% 83.75/83.91 apply (zenon_L630_); trivial.
% 83.75/83.91 (* end of lemma zenon_L835_ *)
% 83.75/83.91 assert (zenon_L836_ : ((~((op2 (e22) (op2 (e22) (e21))) = (e21)))/\(((op2 (op2 (e22) (e21)) (e22)) = (e21))/\(~((op2 (op2 (e22) (e21)) (e21)) = (e22))))) -> ((((op2 (e20) (e20)) = (op2 (e20) (e20)))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e20) (e20))) = (e21)))/\((~((op2 (e22) (op2 (e20) (e20))) = (e22)))/\(~((op2 (e23) (op2 (e20) (e20))) = (e23)))))))\/((((op2 (e21) (e20)) = (op2 (e20) (e21)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e20)))/\((~((op2 (e21) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e20) (e21))) = (e22)))/\(~((op2 (e23) (op2 (e20) (e21))) = (e23)))))))\/((((op2 (e22) (e20)) = (op2 (e20) (e22)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e20)))/\((~((op2 (e21) (op2 (e20) (e22))) = (e21)))/\((~((op2 (e22) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e20) (e22))) = (e23)))))))\/((((op2 (e23) (e20)) = (op2 (e20) (e23)))/\((~((op2 (e20) (op2 (e20) (e23))) = (e20)))/\((~((op2 (e21) (op2 (e20) (e23))) = (e21)))/\((~((op2 (e22) (op2 (e20) (e23))) = (e22)))/\(~((op2 (e23) (op2 (e20) (e23))) = (e23)))))))\/((((op2 (e20) (e21)) = (op2 (e21) (e20)))/\((~((op2 (e20) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e20))) = (e21)))/\((~((op2 (e22) (op2 (e21) (e20))) = (e22)))/\(~((op2 (e23) (op2 (e21) (e20))) = (e23)))))))\/((((op2 (e21) (e21)) = (op2 (e21) (e21)))/\((~((op2 (e20) (op2 (e21) (e21))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e21) (e21))) = (e22)))/\(~((op2 (e23) (op2 (e21) (e21))) = (e23)))))))\/((((op2 (e22) (e21)) = (op2 (e21) (e22)))/\((~((op2 (e20) (op2 (e21) (e22))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e21)))/\((~((op2 (e22) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e21) (e22))) = (e23)))))))\/((((op2 (e23) (e21)) = (op2 (e21) (e23)))/\((~((op2 (e20) (op2 (e21) (e23))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e23))) = (e21)))/\((~((op2 (e22) (op2 (e21) (e23))) = (e22)))/\(~((op2 (e23) (op2 (e21) (e23))) = (e23)))))))\/((((op2 (e20) (e22)) = (op2 (e22) (e20)))/\((~((op2 (e20) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e22) (e20))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e20))) = (e22)))/\(~((op2 (e23) (op2 (e22) (e20))) = (e23)))))))\/((((op2 (e21) (e22)) = (op2 (e22) (e21)))/\((~((op2 (e20) (op2 (e22) (e21))) = (e20)))/\((~((op2 (e21) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e22)))/\(~((op2 (e23) (op2 (e22) (e21))) = (e23)))))))\/((((op2 (e22) (e22)) = (op2 (e22) (e22)))/\((~((op2 (e20) (op2 (e22) (e22))) = (e20)))/\((~((op2 (e21) (op2 (e22) (e22))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e22) (e22))) = (e23)))))))\/((((op2 (e23) (e22)) = (op2 (e22) (e23)))/\((~((op2 (e20) (op2 (e22) (e23))) = (e20)))/\((~((op2 (e21) (op2 (e22) (e23))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e23))) = (e22)))/\(~((op2 (e23) (op2 (e22) (e23))) = (e23)))))))\/((((op2 (e20) (e23)) = (op2 (e23) (e20)))/\((~((op2 (e20) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e23) (e20))) = (e21)))/\((~((op2 (e22) (op2 (e23) (e20))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e20))) = (e23)))))))\/((((op2 (e21) (e23)) = (op2 (e23) (e21)))/\((~((op2 (e20) (op2 (e23) (e21))) = (e20)))/\((~((op2 (e21) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e23) (e21))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e21))) = (e23)))))))\/((((op2 (e22) (e23)) = (op2 (e23) (e22)))/\((~((op2 (e20) (op2 (e23) (e22))) = (e20)))/\((~((op2 (e21) (op2 (e23) (e22))) = (e21)))/\((~((op2 (e22) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e22))) = (e23)))))))\/(((op2 (e23) (e23)) = (op2 (e23) (e23)))/\((~((op2 (e20) (op2 (e23) (e23))) = (e20)))/\((~((op2 (e21) (op2 (e23) (e23))) = (e21)))/\((~((op2 (e22) (op2 (e23) (e23))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23)))))))))))))))))))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((e20) = (e21))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e21) = (e22))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((e21) = (e23))) -> (~((e20) = (e23))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e22) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> False).
% 83.75/83.91 do 0 intro. intros zenon_H604 zenon_H5b3 zenon_Hc9 zenon_Hbc zenon_H511 zenon_H466 zenon_H112 zenon_H462 zenon_H4cb zenon_H605 zenon_H48d zenon_H12f zenon_H134 zenon_H129 zenon_H11f zenon_H12c zenon_Hf7 zenon_H51b zenon_H51e zenon_H48b zenon_H45f zenon_Had zenon_H15c zenon_H8a zenon_H5d zenon_H82 zenon_H73 zenon_H8e zenon_H14f zenon_H94 zenon_H91 zenon_Hce zenon_H140 zenon_He8 zenon_Hb2 zenon_H133 zenon_H141 zenon_Hc3 zenon_Ha8 zenon_Ha3 zenon_Hdc zenon_H142 zenon_H124 zenon_Hd1 zenon_H48e zenon_Hd6 zenon_H21e zenon_H57f zenon_H47f zenon_Hef zenon_Hff zenon_H102 zenon_H472 zenon_H482 zenon_H13e zenon_H15b zenon_H7a zenon_H78 zenon_H7c.
% 83.75/83.91 apply (zenon_and_s _ _ zenon_H604). zenon_intro zenon_H5db. zenon_intro zenon_H606.
% 83.75/83.91 apply (zenon_and_s _ _ zenon_H606). zenon_intro zenon_H5d4. zenon_intro zenon_H607.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H5b3); [ zenon_intro zenon_H5b6 | zenon_intro zenon_H5b5 ].
% 83.75/83.91 apply (zenon_and_s _ _ zenon_H5b6). zenon_intro zenon_Hb5. zenon_intro zenon_H5b7.
% 83.75/83.91 apply (zenon_and_s _ _ zenon_H5b7). zenon_intro zenon_H99. zenon_intro zenon_H5b8.
% 83.75/83.91 apply (zenon_and_s _ _ zenon_H5b8). zenon_intro zenon_H5ba. zenon_intro zenon_H5b9.
% 83.75/83.91 apply (zenon_and_s _ _ zenon_H5b9). zenon_intro zenon_H155. zenon_intro zenon_H5bb.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.75/83.91 apply (zenon_L40_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H45f); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H460 ].
% 83.75/83.91 apply (zenon_L41_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H460); [ zenon_intro zenon_H139 | zenon_intro zenon_H461 ].
% 83.75/83.91 apply (zenon_L76_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H461); [ zenon_intro zenon_H45a | zenon_intro zenon_H7b ].
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.75/83.91 apply (zenon_L41_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.75/83.91 apply (zenon_L779_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.75/83.91 apply (zenon_L780_); trivial.
% 83.75/83.91 apply (zenon_L782_); trivial.
% 83.75/83.91 apply (zenon_L28_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.75/83.91 apply (zenon_L783_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H45f); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H460 ].
% 83.75/83.91 apply (zenon_L41_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H460); [ zenon_intro zenon_H139 | zenon_intro zenon_H461 ].
% 83.75/83.91 apply (zenon_L76_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H461); [ zenon_intro zenon_H45a | zenon_intro zenon_H7b ].
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.75/83.91 apply (zenon_L41_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.75/83.91 apply (zenon_L779_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.75/83.91 apply (zenon_L787_); trivial.
% 83.75/83.91 apply (zenon_L64_); trivial.
% 83.75/83.91 apply (zenon_L28_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H5b5); [ zenon_intro zenon_H456 | zenon_intro zenon_H5bc ].
% 83.75/83.91 apply (zenon_L509_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H5bc); [ zenon_intro zenon_H5be | zenon_intro zenon_H5bd ].
% 83.75/83.91 apply (zenon_and_s _ _ zenon_H5be). zenon_intro zenon_H45b. zenon_intro zenon_H5bf.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.75/83.91 apply (zenon_L40_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H45f); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H460 ].
% 83.75/83.91 apply (zenon_L41_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H460); [ zenon_intro zenon_H139 | zenon_intro zenon_H461 ].
% 83.75/83.91 apply (zenon_L76_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H461); [ zenon_intro zenon_H45a | zenon_intro zenon_H7b ].
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.75/83.91 apply (zenon_L41_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.75/83.91 apply (zenon_L42_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.75/83.91 apply (zenon_L780_); trivial.
% 83.75/83.91 apply (zenon_L510_); trivial.
% 83.75/83.91 apply (zenon_L28_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.75/83.91 apply (zenon_L783_); trivial.
% 83.75/83.91 apply (zenon_L788_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H5bd); [ zenon_intro zenon_H5c1 | zenon_intro zenon_H5c0 ].
% 83.75/83.91 apply (zenon_and_s _ _ zenon_H5c1). zenon_intro zenon_H463. zenon_intro zenon_H5c2.
% 83.75/83.91 apply (zenon_and_s _ _ zenon_H5c2). zenon_intro zenon_H609. zenon_intro zenon_H608.
% 83.75/83.91 apply (zenon_and_s _ _ zenon_H608). zenon_intro zenon_H5e2. zenon_intro zenon_H60a.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.75/83.91 apply (zenon_L40_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H45f); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H460 ].
% 83.75/83.91 apply (zenon_L41_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H460); [ zenon_intro zenon_H139 | zenon_intro zenon_H461 ].
% 83.75/83.91 apply (zenon_L76_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H461); [ zenon_intro zenon_H45a | zenon_intro zenon_H7b ].
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.75/83.91 apply (zenon_L41_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.75/83.91 apply (zenon_L42_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.75/83.91 apply (zenon_L780_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ].
% 83.75/83.91 apply (zenon_L43_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ].
% 83.75/83.91 apply (zenon_L790_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ].
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ].
% 83.75/83.91 apply (zenon_L49_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ].
% 83.75/83.91 apply (zenon_L50_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ].
% 83.75/83.91 apply (zenon_L519_); trivial.
% 83.75/83.91 apply (zenon_L781_); trivial.
% 83.75/83.91 apply (zenon_L88_); trivial.
% 83.75/83.91 apply (zenon_L28_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.75/83.91 apply (zenon_L783_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H63 | zenon_intro zenon_Hcf ].
% 83.75/83.91 apply (zenon_L793_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H74 | zenon_intro zenon_Hd0 ].
% 83.75/83.91 apply (zenon_L32_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H92 | zenon_intro zenon_H95 ].
% 83.75/83.91 apply (zenon_L34_); trivial.
% 83.75/83.91 apply (zenon_L36_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H5c0); [ zenon_intro zenon_H5c4 | zenon_intro zenon_H5c3 ].
% 83.75/83.91 apply (zenon_and_s _ _ zenon_H5c4). zenon_intro zenon_H467. zenon_intro zenon_H5c5.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.75/83.91 apply (zenon_L40_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H45f); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H460 ].
% 83.75/83.91 apply (zenon_L41_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H460); [ zenon_intro zenon_H139 | zenon_intro zenon_H461 ].
% 83.75/83.91 apply (zenon_L76_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H461); [ zenon_intro zenon_H45a | zenon_intro zenon_H7b ].
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.75/83.91 apply (zenon_L41_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.75/83.91 apply (zenon_L796_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.75/83.91 apply (zenon_L780_); trivial.
% 83.75/83.91 apply (zenon_L797_); trivial.
% 83.75/83.91 apply (zenon_L28_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.75/83.91 apply (zenon_L783_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H45f); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H460 ].
% 83.75/83.91 apply (zenon_L41_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H460); [ zenon_intro zenon_H139 | zenon_intro zenon_H461 ].
% 83.75/83.91 apply (zenon_L76_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H461); [ zenon_intro zenon_H45a | zenon_intro zenon_H7b ].
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.75/83.91 apply (zenon_L41_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.75/83.91 apply (zenon_L796_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.75/83.91 apply (zenon_L787_); trivial.
% 83.75/83.91 apply (zenon_L64_); trivial.
% 83.75/83.91 apply (zenon_L28_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H5c3); [ zenon_intro zenon_H5c7 | zenon_intro zenon_H5c6 ].
% 83.75/83.91 apply (zenon_and_s _ _ zenon_H5c7). zenon_intro zenon_H473. zenon_intro zenon_H5c8.
% 83.75/83.91 apply (zenon_and_s _ _ zenon_H5c8). zenon_intro zenon_H5ca. zenon_intro zenon_H5c9.
% 83.75/83.91 apply (zenon_and_s _ _ zenon_H5c9). zenon_intro zenon_H46d. zenon_intro zenon_H5cb.
% 83.75/83.91 apply (zenon_and_s _ _ zenon_H5cb). zenon_intro zenon_H5e7. zenon_intro zenon_H60b.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.75/83.91 apply (zenon_L40_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H45f); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H460 ].
% 83.75/83.91 apply (zenon_L41_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H460); [ zenon_intro zenon_H139 | zenon_intro zenon_H461 ].
% 83.75/83.91 apply (zenon_L76_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H461); [ zenon_intro zenon_H45a | zenon_intro zenon_H7b ].
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.75/83.91 apply (zenon_L41_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.75/83.91 apply (zenon_L42_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.75/83.91 apply (zenon_L780_); trivial.
% 83.75/83.91 apply (zenon_L798_); trivial.
% 83.75/83.91 apply (zenon_L28_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.75/83.91 apply (zenon_L783_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H45f); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H460 ].
% 83.75/83.91 apply (zenon_L41_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H460); [ zenon_intro zenon_H139 | zenon_intro zenon_H461 ].
% 83.75/83.91 apply (zenon_L76_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H461); [ zenon_intro zenon_H45a | zenon_intro zenon_H7b ].
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.75/83.91 apply (zenon_L41_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H48e); [ zenon_intro zenon_Hab | zenon_intro zenon_H494 ].
% 83.75/83.91 apply (zenon_L42_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H494); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H495 ].
% 83.75/83.91 apply (zenon_L772_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H495); [ zenon_intro zenon_H120 | zenon_intro zenon_H74 ].
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ].
% 83.75/83.91 apply (zenon_L49_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ].
% 83.75/83.91 apply (zenon_L773_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ].
% 83.75/83.91 apply (zenon_L801_); trivial.
% 83.75/83.91 apply (zenon_L648_); trivial.
% 83.75/83.91 apply (zenon_L32_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.75/83.91 apply (zenon_L787_); trivial.
% 83.75/83.91 apply (zenon_L64_); trivial.
% 83.75/83.91 apply (zenon_L28_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H5c6); [ zenon_intro zenon_H48c | zenon_intro zenon_H5cc ].
% 83.75/83.91 apply (zenon_and_s _ _ zenon_H48c). zenon_intro zenon_H485. zenon_intro zenon_H48f.
% 83.75/83.91 apply (zenon_and_s _ _ zenon_H48f). zenon_intro zenon_H47a. zenon_intro zenon_H490.
% 83.75/83.91 apply (zenon_and_s _ _ zenon_H490). zenon_intro zenon_H486. zenon_intro zenon_H491.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.75/83.91 apply (zenon_L40_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H45f); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H460 ].
% 83.75/83.91 apply (zenon_L41_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H460); [ zenon_intro zenon_H139 | zenon_intro zenon_H461 ].
% 83.75/83.91 apply (zenon_L76_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H461); [ zenon_intro zenon_H45a | zenon_intro zenon_H7b ].
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.75/83.91 apply (zenon_L41_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.75/83.91 apply (zenon_L804_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.75/83.91 apply (zenon_L780_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ].
% 83.75/83.91 apply (zenon_L43_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ].
% 83.75/83.91 apply (zenon_L790_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ].
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ].
% 83.75/83.91 apply (zenon_L49_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ].
% 83.75/83.91 apply (zenon_L772_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ].
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ].
% 83.75/83.91 apply (zenon_L804_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ].
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 83.75/83.91 apply (zenon_L53_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_He2 | zenon_intro zenon_H146 ].
% 83.75/83.91 apply (zenon_L54_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H130 ].
% 83.75/83.91 apply (zenon_L789_); trivial.
% 83.75/83.91 apply (zenon_L534_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ].
% 83.75/83.91 apply (zenon_L71_); trivial.
% 83.75/83.91 apply (zenon_L518_); trivial.
% 83.75/83.91 apply (zenon_L781_); trivial.
% 83.75/83.91 apply (zenon_L88_); trivial.
% 83.75/83.91 apply (zenon_L28_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.75/83.91 apply (zenon_L783_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H45f); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H460 ].
% 83.75/83.91 apply (zenon_L41_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H460); [ zenon_intro zenon_H139 | zenon_intro zenon_H461 ].
% 83.75/83.91 apply (zenon_L76_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H461); [ zenon_intro zenon_H45a | zenon_intro zenon_H7b ].
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.75/83.91 apply (zenon_L41_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.75/83.91 apply (zenon_L804_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.75/83.91 apply (zenon_L787_); trivial.
% 83.75/83.91 apply (zenon_L64_); trivial.
% 83.75/83.91 apply (zenon_L28_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H5cc); [ zenon_intro zenon_H4a3 | zenon_intro zenon_H5cd ].
% 83.75/83.91 apply (zenon_and_s _ _ zenon_H4a3). zenon_intro zenon_H49c. zenon_intro zenon_H4a4.
% 83.75/83.91 apply (zenon_and_s _ _ zenon_H4a4). zenon_intro zenon_H4a6. zenon_intro zenon_H4a5.
% 83.75/83.91 apply (zenon_and_s _ _ zenon_H4a5). zenon_intro zenon_H4a8. zenon_intro zenon_H4a7.
% 83.75/83.91 apply (zenon_and_s _ _ zenon_H4a7). zenon_intro zenon_H497. zenon_intro zenon_H4a9.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.75/83.91 apply (zenon_L40_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H45f); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H460 ].
% 83.75/83.91 apply (zenon_L41_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H460); [ zenon_intro zenon_H139 | zenon_intro zenon_H461 ].
% 83.75/83.91 apply (zenon_L76_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H461); [ zenon_intro zenon_H45a | zenon_intro zenon_H7b ].
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.75/83.91 apply (zenon_L41_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.75/83.91 apply (zenon_L42_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.75/83.91 apply (zenon_L780_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ].
% 83.75/83.91 apply (zenon_L43_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ].
% 83.75/83.91 apply (zenon_L790_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ].
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ].
% 83.75/83.91 apply (zenon_L49_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ].
% 83.75/83.91 apply (zenon_L772_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ].
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ].
% 83.75/83.91 apply (zenon_L42_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ].
% 83.75/83.91 apply (zenon_L805_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ].
% 83.75/83.91 apply (zenon_L71_); trivial.
% 83.75/83.91 apply (zenon_L518_); trivial.
% 83.75/83.91 apply (zenon_L781_); trivial.
% 83.75/83.91 apply (zenon_L88_); trivial.
% 83.75/83.91 apply (zenon_L28_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.75/83.91 apply (zenon_L783_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H45f); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H460 ].
% 83.75/83.91 apply (zenon_L41_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H460); [ zenon_intro zenon_H139 | zenon_intro zenon_H461 ].
% 83.75/83.91 apply (zenon_L76_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H461); [ zenon_intro zenon_H45a | zenon_intro zenon_H7b ].
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.75/83.91 apply (zenon_L41_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H48e); [ zenon_intro zenon_Hab | zenon_intro zenon_H494 ].
% 83.75/83.91 apply (zenon_L42_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H494); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H495 ].
% 83.75/83.91 apply (zenon_L772_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H495); [ zenon_intro zenon_H120 | zenon_intro zenon_H74 ].
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ].
% 83.75/83.91 apply (zenon_L49_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ].
% 83.75/83.91 apply (zenon_L773_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ].
% 83.75/83.91 apply (zenon_L807_); trivial.
% 83.75/83.91 apply (zenon_L648_); trivial.
% 83.75/83.91 apply (zenon_L32_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.75/83.91 apply (zenon_L787_); trivial.
% 83.75/83.91 apply (zenon_L64_); trivial.
% 83.75/83.91 apply (zenon_L28_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H5cd); [ zenon_intro zenon_H4b0 | zenon_intro zenon_H5ce ].
% 83.75/83.91 apply (zenon_and_s _ _ zenon_H4b0). zenon_intro zenon_H4af. zenon_intro zenon_H4b1.
% 83.75/83.91 apply (zenon_and_s _ _ zenon_H4b1). zenon_intro zenon_H4ab. zenon_intro zenon_H4b2.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.75/83.91 apply (zenon_L40_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H45f); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H460 ].
% 83.75/83.91 apply (zenon_L41_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H460); [ zenon_intro zenon_H139 | zenon_intro zenon_H461 ].
% 83.75/83.91 apply (zenon_L76_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H461); [ zenon_intro zenon_H45a | zenon_intro zenon_H7b ].
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.75/83.91 apply (zenon_L41_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.75/83.91 apply (zenon_L42_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.75/83.91 apply (zenon_L780_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ].
% 83.75/83.91 apply (zenon_L43_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ].
% 83.75/83.91 apply (zenon_L790_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ].
% 83.75/83.91 apply (zenon_L553_); trivial.
% 83.75/83.91 apply (zenon_L88_); trivial.
% 83.75/83.91 apply (zenon_L28_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.75/83.91 apply (zenon_L783_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H45f); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H460 ].
% 83.75/83.91 apply (zenon_L41_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H460); [ zenon_intro zenon_H139 | zenon_intro zenon_H461 ].
% 83.75/83.91 apply (zenon_L76_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H461); [ zenon_intro zenon_H45a | zenon_intro zenon_H7b ].
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.75/83.91 apply (zenon_L41_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.75/83.91 apply (zenon_L808_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.75/83.91 apply (zenon_L787_); trivial.
% 83.75/83.91 apply (zenon_L64_); trivial.
% 83.75/83.91 apply (zenon_L28_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H5ce); [ zenon_intro zenon_H4bf | zenon_intro zenon_H5cf ].
% 83.75/83.91 apply (zenon_and_s _ _ zenon_H4bf). zenon_intro zenon_H4b9. zenon_intro zenon_H4c0.
% 83.75/83.91 apply (zenon_and_s _ _ zenon_H4c0). zenon_intro zenon_H4c2. zenon_intro zenon_H4c1.
% 83.75/83.91 apply (zenon_and_s _ _ zenon_H4c1). zenon_intro zenon_H4b5. zenon_intro zenon_H4c3.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.75/83.91 apply (zenon_L40_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H45f); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H460 ].
% 83.75/83.91 apply (zenon_L41_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H460); [ zenon_intro zenon_H139 | zenon_intro zenon_H461 ].
% 83.75/83.91 apply (zenon_L76_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H461); [ zenon_intro zenon_H45a | zenon_intro zenon_H7b ].
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.75/83.91 apply (zenon_L41_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.75/83.91 apply (zenon_L809_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.75/83.91 apply (zenon_L780_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ].
% 83.75/83.91 apply (zenon_L43_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ].
% 83.75/83.91 apply (zenon_L790_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ].
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ].
% 83.75/83.91 apply (zenon_L49_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ].
% 83.75/83.91 apply (zenon_L50_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ].
% 83.75/83.91 apply (zenon_L561_); trivial.
% 83.75/83.91 apply (zenon_L778_); trivial.
% 83.75/83.91 apply (zenon_L88_); trivial.
% 83.75/83.91 apply (zenon_L28_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.75/83.91 apply (zenon_L783_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H45f); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H460 ].
% 83.75/83.91 apply (zenon_L41_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H460); [ zenon_intro zenon_H139 | zenon_intro zenon_H461 ].
% 83.75/83.91 apply (zenon_L76_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H461); [ zenon_intro zenon_H45a | zenon_intro zenon_H7b ].
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.75/83.91 apply (zenon_L41_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.75/83.91 apply (zenon_L809_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.75/83.91 apply (zenon_L787_); trivial.
% 83.75/83.91 apply (zenon_L64_); trivial.
% 83.75/83.91 apply (zenon_L28_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H5cf); [ zenon_intro zenon_H4d8 | zenon_intro zenon_H5d0 ].
% 83.75/83.91 apply (zenon_and_s _ _ zenon_H4d8). zenon_intro zenon_He9. zenon_intro zenon_H4d9.
% 83.75/83.91 apply (zenon_and_s _ _ zenon_H4d9). zenon_intro zenon_H4d1. zenon_intro zenon_H4da.
% 83.75/83.91 apply (zenon_and_s _ _ zenon_H4da). zenon_intro zenon_H4dc. zenon_intro zenon_H4db.
% 83.75/83.91 apply (zenon_and_s _ _ zenon_H4db). zenon_intro zenon_H4c7. zenon_intro zenon_H4dd.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.75/83.91 apply (zenon_L40_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H45f); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H460 ].
% 83.75/83.91 apply (zenon_L41_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H460); [ zenon_intro zenon_H139 | zenon_intro zenon_H461 ].
% 83.75/83.91 apply (zenon_L76_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H461); [ zenon_intro zenon_H45a | zenon_intro zenon_H7b ].
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.75/83.91 apply (zenon_L41_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.75/83.91 apply (zenon_L811_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.75/83.91 apply (zenon_L780_); trivial.
% 83.75/83.91 apply (zenon_L812_); trivial.
% 83.75/83.91 apply (zenon_L28_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.75/83.91 apply (zenon_L783_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H45f); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H460 ].
% 83.75/83.91 apply (zenon_L41_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H460); [ zenon_intro zenon_H139 | zenon_intro zenon_H461 ].
% 83.75/83.91 apply (zenon_L76_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H461); [ zenon_intro zenon_H45a | zenon_intro zenon_H7b ].
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.75/83.91 apply (zenon_L41_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.75/83.91 apply (zenon_L811_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.75/83.91 apply (zenon_L787_); trivial.
% 83.75/83.91 apply (zenon_L64_); trivial.
% 83.75/83.91 apply (zenon_L28_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H5d0); [ zenon_intro zenon_H4e4 | zenon_intro zenon_H5d1 ].
% 83.75/83.91 apply (zenon_and_s _ _ zenon_H4e4). zenon_intro zenon_H4de. zenon_intro zenon_H4e5.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.75/83.91 apply (zenon_L40_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H45f); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H460 ].
% 83.75/83.91 apply (zenon_L41_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H460); [ zenon_intro zenon_H139 | zenon_intro zenon_H461 ].
% 83.75/83.91 apply (zenon_L76_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H461); [ zenon_intro zenon_H45a | zenon_intro zenon_H7b ].
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.75/83.91 apply (zenon_L41_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.75/83.91 apply (zenon_L42_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.75/83.91 apply (zenon_L780_); trivial.
% 83.75/83.91 apply (zenon_L815_); trivial.
% 83.75/83.91 apply (zenon_L28_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.75/83.91 apply (zenon_L783_); trivial.
% 83.75/83.91 apply (zenon_L816_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H5d1); [ zenon_intro zenon_H4e7 | zenon_intro zenon_H5d2 ].
% 83.75/83.91 apply (zenon_and_s _ _ zenon_H4e7). zenon_intro zenon_H4e6. zenon_intro zenon_H4e8.
% 83.75/83.91 apply (zenon_and_s _ _ zenon_H4e8). zenon_intro zenon_H60d. zenon_intro zenon_H60c.
% 83.75/83.91 apply (zenon_and_s _ _ zenon_H60c). zenon_intro zenon_H5f2. zenon_intro zenon_H60e.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.75/83.91 apply (zenon_L40_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H45f); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H460 ].
% 83.75/83.91 apply (zenon_L41_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H460); [ zenon_intro zenon_H139 | zenon_intro zenon_H461 ].
% 83.75/83.91 apply (zenon_L76_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H461); [ zenon_intro zenon_H45a | zenon_intro zenon_H7b ].
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.75/83.91 apply (zenon_L41_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.75/83.91 apply (zenon_L42_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.75/83.91 apply (zenon_L780_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ].
% 83.75/83.91 apply (zenon_L43_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ].
% 83.75/83.91 apply (zenon_L790_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ].
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ].
% 83.75/83.91 apply (zenon_L49_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ].
% 83.75/83.91 apply (zenon_L772_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ].
% 83.75/83.91 apply (zenon_L818_); trivial.
% 83.75/83.91 apply (zenon_L778_); trivial.
% 83.75/83.91 apply (zenon_L88_); trivial.
% 83.75/83.91 apply (zenon_L28_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.75/83.91 apply (zenon_L783_); trivial.
% 83.75/83.91 apply (zenon_L821_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H5d2); [ zenon_intro zenon_H4f0 | zenon_intro zenon_H5d3 ].
% 83.75/83.91 apply (zenon_and_s _ _ zenon_H4f0). zenon_intro zenon_H4e9. zenon_intro zenon_H4f1.
% 83.75/83.91 apply (zenon_and_s _ _ zenon_H4f1). zenon_intro zenon_H4f3. zenon_intro zenon_H4f2.
% 83.75/83.91 apply (zenon_and_s _ _ zenon_H4f2). zenon_intro zenon_H4f5. zenon_intro zenon_H4f4.
% 83.75/83.91 apply (zenon_and_s _ _ zenon_H4f4). zenon_intro zenon_H4eb. zenon_intro zenon_H4f6.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.75/83.91 apply (zenon_L40_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H45f); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H460 ].
% 83.75/83.91 apply (zenon_L41_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H460); [ zenon_intro zenon_H139 | zenon_intro zenon_H461 ].
% 83.75/83.91 apply (zenon_L76_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H461); [ zenon_intro zenon_H45a | zenon_intro zenon_H7b ].
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.75/83.91 apply (zenon_L41_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.75/83.91 apply (zenon_L42_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.75/83.91 apply (zenon_L780_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ].
% 83.75/83.91 apply (zenon_L43_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ].
% 83.75/83.91 apply (zenon_L790_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ].
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ].
% 83.75/83.91 apply (zenon_L49_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ].
% 83.75/83.91 apply (zenon_L772_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ].
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ].
% 83.75/83.91 apply (zenon_L827_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ].
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H105 | zenon_intro zenon_H135 ].
% 83.75/83.91 apply (zenon_L63_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_He2 | zenon_intro zenon_H136 ].
% 83.75/83.91 apply (zenon_L54_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H10f ].
% 83.75/83.91 apply (zenon_L58_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hbb | zenon_intro zenon_H103 ].
% 83.75/83.91 apply (zenon_L775_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_He5 | zenon_intro zenon_H104 ].
% 83.75/83.91 apply (zenon_L55_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_He7 | zenon_intro zenon_Hfc ].
% 83.75/83.91 apply (zenon_L56_); trivial.
% 83.75/83.91 apply (zenon_L583_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ].
% 83.75/83.91 apply (zenon_L71_); trivial.
% 83.75/83.91 apply (zenon_L518_); trivial.
% 83.75/83.91 apply (zenon_L778_); trivial.
% 83.75/83.91 apply (zenon_L88_); trivial.
% 83.75/83.91 apply (zenon_L28_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.75/83.91 apply (zenon_L783_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H45f); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H460 ].
% 83.75/83.91 apply (zenon_L41_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H460); [ zenon_intro zenon_H139 | zenon_intro zenon_H461 ].
% 83.75/83.91 apply (zenon_L76_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H461); [ zenon_intro zenon_H45a | zenon_intro zenon_H7b ].
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.75/83.91 apply (zenon_L41_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.75/83.91 apply (zenon_L827_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.75/83.91 apply (zenon_L787_); trivial.
% 83.75/83.91 apply (zenon_L64_); trivial.
% 83.75/83.91 apply (zenon_L28_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H5d3); [ zenon_intro zenon_H4f9 | zenon_intro zenon_H521 ].
% 83.75/83.91 apply (zenon_and_s _ _ zenon_H4f9). zenon_intro zenon_H4f7. zenon_intro zenon_H4fa.
% 83.75/83.91 apply (zenon_and_s _ _ zenon_H4fa). zenon_intro zenon_H5fa. zenon_intro zenon_H60f.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.75/83.91 apply (zenon_L40_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H45f); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H460 ].
% 83.75/83.91 apply (zenon_L41_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H460); [ zenon_intro zenon_H139 | zenon_intro zenon_H461 ].
% 83.75/83.91 apply (zenon_L76_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H461); [ zenon_intro zenon_H45a | zenon_intro zenon_H7b ].
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.75/83.91 apply (zenon_L41_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.75/83.91 apply (zenon_L42_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.75/83.91 apply (zenon_L780_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ].
% 83.75/83.91 apply (zenon_L49_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ].
% 83.75/83.91 apply (zenon_L772_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ].
% 83.75/83.91 apply (zenon_L764_); trivial.
% 83.75/83.91 apply (zenon_L781_); trivial.
% 83.75/83.91 apply (zenon_L28_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.75/83.91 apply (zenon_L783_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H45f); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H460 ].
% 83.75/83.91 apply (zenon_L41_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H460); [ zenon_intro zenon_H139 | zenon_intro zenon_H461 ].
% 83.75/83.91 apply (zenon_L76_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H461); [ zenon_intro zenon_H45a | zenon_intro zenon_H7b ].
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.75/83.91 apply (zenon_L41_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ].
% 83.75/83.91 apply (zenon_L43_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ].
% 83.75/83.91 apply (zenon_L52_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ].
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H48e); [ zenon_intro zenon_Hab | zenon_intro zenon_H494 ].
% 83.75/83.91 apply (zenon_L42_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H494); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H495 ].
% 83.75/83.91 apply (zenon_L772_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H495); [ zenon_intro zenon_H120 | zenon_intro zenon_H74 ].
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H605); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H610 ].
% 83.75/83.91 apply (zenon_L46_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H610); [ zenon_intro zenon_H12a | zenon_intro zenon_H611 ].
% 83.75/83.91 apply (zenon_L625_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H611); [ zenon_intro zenon_H4cf | zenon_intro zenon_H582 ].
% 83.75/83.91 apply (zenon_L740_); trivial.
% 83.75/83.91 apply (zenon_L830_); trivial.
% 83.75/83.91 apply (zenon_L32_); trivial.
% 83.75/83.91 apply (zenon_L630_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.75/83.91 apply (zenon_L787_); trivial.
% 83.75/83.91 apply (zenon_L64_); trivial.
% 83.75/83.91 apply (zenon_L28_); trivial.
% 83.75/83.91 apply (zenon_and_s _ _ zenon_H521). zenon_intro zenon_H523. zenon_intro zenon_H522.
% 83.75/83.91 apply (zenon_and_s _ _ zenon_H522). zenon_intro zenon_H501. zenon_intro zenon_H524.
% 83.75/83.91 apply (zenon_and_s _ _ zenon_H524). zenon_intro zenon_H613. zenon_intro zenon_H612.
% 83.75/83.91 apply (zenon_and_s _ _ zenon_H612). zenon_intro zenon_H600. zenon_intro zenon_H614.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.75/83.91 apply (zenon_L40_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H45f); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H460 ].
% 83.75/83.91 apply (zenon_L41_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H460); [ zenon_intro zenon_H139 | zenon_intro zenon_H461 ].
% 83.75/83.91 apply (zenon_L76_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H461); [ zenon_intro zenon_H45a | zenon_intro zenon_H7b ].
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.75/83.91 apply (zenon_L41_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.75/83.91 apply (zenon_L42_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.75/83.91 apply (zenon_L780_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ].
% 83.75/83.91 apply (zenon_L43_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ].
% 83.75/83.91 apply (zenon_L790_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ].
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ].
% 83.75/83.91 apply (zenon_L49_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ].
% 83.75/83.91 apply (zenon_L610_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ].
% 83.75/83.91 apply (zenon_L613_); trivial.
% 83.75/83.91 apply (zenon_L781_); trivial.
% 83.75/83.91 apply (zenon_L88_); trivial.
% 83.75/83.91 apply (zenon_L28_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.75/83.91 apply (zenon_L783_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H45f); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H460 ].
% 83.75/83.91 apply (zenon_L41_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H460); [ zenon_intro zenon_H139 | zenon_intro zenon_H461 ].
% 83.75/83.91 apply (zenon_L76_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H461); [ zenon_intro zenon_H45a | zenon_intro zenon_H7b ].
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.75/83.91 apply (zenon_L41_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.75/83.91 apply (zenon_L835_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.75/83.91 apply (zenon_L787_); trivial.
% 83.75/83.91 apply (zenon_L64_); trivial.
% 83.75/83.91 apply (zenon_L28_); trivial.
% 83.75/83.91 (* end of lemma zenon_L836_ *)
% 83.75/83.91 assert (zenon_L837_ : ((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(((op2 (op2 (e22) (e22)) (e22)) = (e22))/\(~((op2 (op2 (e22) (e22)) (e22)) = (e22))))) -> False).
% 83.75/83.91 do 0 intro. intros zenon_H615.
% 83.75/83.91 apply (zenon_and_s _ _ zenon_H615). zenon_intro zenon_H4c7. zenon_intro zenon_H616.
% 83.75/83.91 apply (zenon_and_s _ _ zenon_H616). zenon_intro zenon_H618. zenon_intro zenon_H617.
% 83.75/83.91 exact (zenon_H617 zenon_H618).
% 83.75/83.91 (* end of lemma zenon_L837_ *)
% 83.75/83.91 assert (zenon_L838_ : (~((op2 (e22) (op2 (e22) (e23))) = (e23))) -> ((op2 (op2 (e22) (e23)) (e22)) = (e23)) -> ((op2 (e22) (e23)) = (e22)) -> False).
% 83.75/83.91 do 0 intro. intros zenon_H619 zenon_H61a zenon_Hfd.
% 83.75/83.91 cut (((op2 (op2 (e22) (e23)) (e22)) = (e23)) = ((op2 (e22) (op2 (e22) (e23))) = (e23))).
% 83.75/83.91 intro zenon_D_pnotp.
% 83.75/83.91 apply zenon_H619.
% 83.75/83.91 rewrite <- zenon_D_pnotp.
% 83.75/83.91 exact zenon_H61a.
% 83.75/83.91 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_Hd8].
% 83.75/83.91 cut (((op2 (op2 (e22) (e23)) (e22)) = (op2 (e22) (op2 (e22) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H61b].
% 83.75/83.91 congruence.
% 83.75/83.91 elim (classic ((op2 (e22) (op2 (e22) (e23))) = (op2 (e22) (op2 (e22) (e23))))); [ zenon_intro zenon_H61c | zenon_intro zenon_H61d ].
% 83.75/83.91 cut (((op2 (e22) (op2 (e22) (e23))) = (op2 (e22) (op2 (e22) (e23)))) = ((op2 (op2 (e22) (e23)) (e22)) = (op2 (e22) (op2 (e22) (e23))))).
% 83.75/83.91 intro zenon_D_pnotp.
% 83.75/83.91 apply zenon_H61b.
% 83.75/83.91 rewrite <- zenon_D_pnotp.
% 83.75/83.91 exact zenon_H61c.
% 83.75/83.91 cut (((op2 (e22) (op2 (e22) (e23))) = (op2 (e22) (op2 (e22) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H61d].
% 83.75/83.91 cut (((op2 (e22) (op2 (e22) (e23))) = (op2 (op2 (e22) (e23)) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H61e].
% 83.75/83.91 congruence.
% 83.75/83.91 cut (((op2 (e22) (e23)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Hfe].
% 83.75/83.91 cut (((e22) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H131].
% 83.75/83.91 congruence.
% 83.75/83.91 apply zenon_H131. apply sym_equal. exact zenon_Hfd.
% 83.75/83.91 exact (zenon_Hfe zenon_Hfd).
% 83.75/83.91 apply zenon_H61d. apply refl_equal.
% 83.75/83.91 apply zenon_H61d. apply refl_equal.
% 83.75/83.91 apply zenon_Hd8. apply refl_equal.
% 83.75/83.91 (* end of lemma zenon_L838_ *)
% 83.75/83.91 assert (zenon_L839_ : (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> (~((e20) = (e22))) -> ((op2 (e22) (e21)) = (e20)) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (op2 (e22) (e23))) = (e23))) -> ((op2 (op2 (e22) (e23)) (e22)) = (e23)) -> False).
% 83.75/83.91 do 0 intro. intros zenon_Hff zenon_Hef zenon_H78 zenon_Ha3 zenon_He4 zenon_Hf8 zenon_Hf7 zenon_H619 zenon_H61a.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Hee | zenon_intro zenon_H100 ].
% 83.75/83.91 apply (zenon_L57_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H101 ].
% 83.75/83.91 apply (zenon_L58_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_Hf9 | zenon_intro zenon_Hfd ].
% 83.75/83.91 apply (zenon_L59_); trivial.
% 83.75/83.91 apply (zenon_L838_); trivial.
% 83.75/83.91 (* end of lemma zenon_L839_ *)
% 83.75/83.91 assert (zenon_L840_ : (~((op2 (op2 (e22) (e23)) (e23)) = (e22))) -> ((op2 (e21) (e23)) = (e22)) -> ((op2 (e22) (e23)) = (e21)) -> False).
% 83.75/83.91 do 0 intro. intros zenon_H61f zenon_H130 zenon_Hfc.
% 83.75/83.91 cut (((op2 (e21) (e23)) = (e22)) = ((op2 (op2 (e22) (e23)) (e23)) = (e22))).
% 83.75/83.91 intro zenon_D_pnotp.
% 83.75/83.91 apply zenon_H61f.
% 83.75/83.91 rewrite <- zenon_D_pnotp.
% 83.75/83.91 exact zenon_H130.
% 83.75/83.91 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Ha1].
% 83.75/83.91 cut (((op2 (e21) (e23)) = (op2 (op2 (e22) (e23)) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H620].
% 83.75/83.91 congruence.
% 83.75/83.91 elim (classic ((op2 (op2 (e22) (e23)) (e23)) = (op2 (op2 (e22) (e23)) (e23)))); [ zenon_intro zenon_H621 | zenon_intro zenon_H622 ].
% 83.75/83.91 cut (((op2 (op2 (e22) (e23)) (e23)) = (op2 (op2 (e22) (e23)) (e23))) = ((op2 (e21) (e23)) = (op2 (op2 (e22) (e23)) (e23)))).
% 83.75/83.91 intro zenon_D_pnotp.
% 83.75/83.91 apply zenon_H620.
% 83.75/83.91 rewrite <- zenon_D_pnotp.
% 83.75/83.91 exact zenon_H621.
% 83.75/83.91 cut (((op2 (op2 (e22) (e23)) (e23)) = (op2 (op2 (e22) (e23)) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H622].
% 83.75/83.91 cut (((op2 (op2 (e22) (e23)) (e23)) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H623].
% 83.75/83.91 congruence.
% 83.75/83.91 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_Hd8].
% 83.75/83.91 cut (((op2 (e22) (e23)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H624].
% 83.75/83.91 congruence.
% 83.75/83.91 exact (zenon_H624 zenon_Hfc).
% 83.75/83.91 apply zenon_Hd8. apply refl_equal.
% 83.75/83.91 apply zenon_H622. apply refl_equal.
% 83.75/83.91 apply zenon_H622. apply refl_equal.
% 83.75/83.91 apply zenon_Ha1. apply refl_equal.
% 83.75/83.91 (* end of lemma zenon_L840_ *)
% 83.75/83.91 assert (zenon_L841_ : (~((op2 (e22) (op2 (e22) (e23))) = (op2 (e22) (e23)))) -> ((op2 (e22) (e23)) = (e23)) -> False).
% 83.75/83.91 do 0 intro. intros zenon_H625 zenon_H51c.
% 83.75/83.91 cut (((op2 (e22) (e23)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H626].
% 83.75/83.91 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Ha1].
% 83.75/83.91 congruence.
% 83.75/83.91 apply zenon_Ha1. apply refl_equal.
% 83.75/83.91 exact (zenon_H626 zenon_H51c).
% 83.75/83.91 (* end of lemma zenon_L841_ *)
% 83.75/83.91 assert (zenon_L842_ : (~((op2 (e22) (op2 (e22) (e23))) = (e23))) -> ((op2 (e22) (e23)) = (e23)) -> False).
% 83.75/83.91 do 0 intro. intros zenon_H619 zenon_H51c.
% 83.75/83.91 cut (((op2 (e22) (e23)) = (e23)) = ((op2 (e22) (op2 (e22) (e23))) = (e23))).
% 83.75/83.91 intro zenon_D_pnotp.
% 83.75/83.91 apply zenon_H619.
% 83.75/83.91 rewrite <- zenon_D_pnotp.
% 83.75/83.91 exact zenon_H51c.
% 83.75/83.91 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_Hd8].
% 83.75/83.91 cut (((op2 (e22) (e23)) = (op2 (e22) (op2 (e22) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H627].
% 83.75/83.91 congruence.
% 83.75/83.91 elim (classic ((op2 (e22) (op2 (e22) (e23))) = (op2 (e22) (op2 (e22) (e23))))); [ zenon_intro zenon_H61c | zenon_intro zenon_H61d ].
% 83.75/83.91 cut (((op2 (e22) (op2 (e22) (e23))) = (op2 (e22) (op2 (e22) (e23)))) = ((op2 (e22) (e23)) = (op2 (e22) (op2 (e22) (e23))))).
% 83.75/83.91 intro zenon_D_pnotp.
% 83.75/83.91 apply zenon_H627.
% 83.75/83.91 rewrite <- zenon_D_pnotp.
% 83.75/83.91 exact zenon_H61c.
% 83.75/83.91 cut (((op2 (e22) (op2 (e22) (e23))) = (op2 (e22) (op2 (e22) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H61d].
% 83.75/83.91 cut (((op2 (e22) (op2 (e22) (e23))) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H625].
% 83.75/83.91 congruence.
% 83.75/83.91 apply (zenon_L841_); trivial.
% 83.75/83.91 apply zenon_H61d. apply refl_equal.
% 83.75/83.91 apply zenon_H61d. apply refl_equal.
% 83.75/83.91 apply zenon_Hd8. apply refl_equal.
% 83.75/83.91 (* end of lemma zenon_L842_ *)
% 83.75/83.91 assert (zenon_L843_ : (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> ((op2 (e21) (e23)) = (e22)) -> (~((op2 (op2 (e22) (e23)) (e23)) = (e22))) -> ((op2 (op2 (e22) (e23)) (e22)) = (e23)) -> (~((op2 (e22) (op2 (e22) (e23))) = (e23))) -> False).
% 83.75/83.91 do 0 intro. intros zenon_H628 zenon_H8a zenon_H7a zenon_H5d zenon_H78 zenon_H82 zenon_H7c zenon_H91 zenon_H8e zenon_H130 zenon_H61f zenon_H61a zenon_H619.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H628); [ zenon_intro zenon_H92 | zenon_intro zenon_H629 ].
% 83.75/83.91 apply (zenon_L34_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H629); [ zenon_intro zenon_Hfc | zenon_intro zenon_H62a ].
% 83.75/83.91 apply (zenon_L840_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H62a); [ zenon_intro zenon_Hfd | zenon_intro zenon_H51c ].
% 83.75/83.91 apply (zenon_L838_); trivial.
% 83.75/83.91 apply (zenon_L842_); trivial.
% 83.75/83.91 (* end of lemma zenon_L843_ *)
% 83.75/83.91 assert (zenon_L844_ : (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((e21) = (e22))) -> ((op2 (e21) (e21)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e21)) = (e20)) -> (~((e20) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (op2 (e22) (e23)) (e23)) = (e22))) -> ((op2 (op2 (e22) (e23)) (e22)) = (e23)) -> (~((op2 (e22) (op2 (e22) (e23))) = (e23))) -> False).
% 83.75/83.91 do 0 intro. intros zenon_H142 zenon_Hdc zenon_Ha8 zenon_He1 zenon_Hf7 zenon_He4 zenon_Ha3 zenon_Hef zenon_Hff zenon_H628 zenon_H8a zenon_H7a zenon_H5d zenon_H78 zenon_H82 zenon_H7c zenon_H91 zenon_H8e zenon_H61f zenon_H61a zenon_H619.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 83.75/83.91 apply (zenon_L53_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_He2 | zenon_intro zenon_H146 ].
% 83.75/83.91 apply (zenon_L54_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H130 ].
% 83.75/83.91 apply (zenon_L839_); trivial.
% 83.75/83.91 apply (zenon_L843_); trivial.
% 83.75/83.91 (* end of lemma zenon_L844_ *)
% 83.75/83.91 assert (zenon_L845_ : (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> ((op2 (e20) (e23)) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (e23)) = (e21)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (op2 (e22) (e23)) (e22)) = (e23)) -> (~((op2 (e22) (op2 (e22) (e23))) = (e23))) -> False).
% 83.75/83.91 do 0 intro. intros zenon_H628 zenon_H63 zenon_H91 zenon_H13c zenon_H12f zenon_H61a zenon_H619.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H628); [ zenon_intro zenon_H92 | zenon_intro zenon_H629 ].
% 83.75/83.91 apply (zenon_L33_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H629); [ zenon_intro zenon_Hfc | zenon_intro zenon_H62a ].
% 83.75/83.91 apply (zenon_L584_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_H62a); [ zenon_intro zenon_Hfd | zenon_intro zenon_H51c ].
% 83.75/83.91 apply (zenon_L838_); trivial.
% 83.75/83.91 apply (zenon_L842_); trivial.
% 83.75/83.91 (* end of lemma zenon_L845_ *)
% 83.75/83.91 assert (zenon_L846_ : (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (op2 (e22) (e23))) = (e23))) -> ((op2 (op2 (e22) (e23)) (e22)) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (e23)) = (e21)) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.75/83.91 do 0 intro. intros zenon_Hce zenon_H619 zenon_H61a zenon_H12f zenon_H13c zenon_H628 zenon_H73 zenon_H91 zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H63 | zenon_intro zenon_Hcf ].
% 83.75/83.91 apply (zenon_L845_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H74 | zenon_intro zenon_Hd0 ].
% 83.75/83.91 apply (zenon_L32_); trivial.
% 83.75/83.91 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H92 | zenon_intro zenon_H95 ].
% 83.75/83.91 apply (zenon_L34_); trivial.
% 83.75/83.91 apply (zenon_L36_); trivial.
% 83.75/83.91 (* end of lemma zenon_L846_ *)
% 83.75/83.91 assert (zenon_L847_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e20) = (e21))) -> ((op2 (e21) (e20)) = (e20)) -> (~((op2 (op2 (e22) (e23)) (e23)) = (e22))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e20) = (e22))) -> ((op2 (e22) (e21)) = (e20)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (op2 (e22) (e23))) = (e23))) -> ((op2 (op2 (e22) (e23)) (e22)) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.75/83.92 do 0 intro. intros zenon_H140 zenon_Had zenon_Hab zenon_H61f zenon_Hff zenon_Hef zenon_Ha3 zenon_He4 zenon_Hf7 zenon_Ha8 zenon_Hdc zenon_H142 zenon_H124 zenon_Hce zenon_H619 zenon_H61a zenon_H12f zenon_H628 zenon_H73 zenon_H91 zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ].
% 83.75/83.92 apply (zenon_L42_); trivial.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ].
% 83.75/83.92 apply (zenon_L844_); trivial.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ].
% 83.75/83.92 apply (zenon_L71_); trivial.
% 83.75/83.92 apply (zenon_L846_); trivial.
% 83.75/83.92 (* end of lemma zenon_L847_ *)
% 83.75/83.92 assert (zenon_L848_ : (~((op2 (e21) (e22)) = (op2 (op2 (e22) (e23)) (e22)))) -> ((op2 (e22) (e23)) = (e21)) -> False).
% 83.75/83.92 do 0 intro. intros zenon_H62b zenon_Hfc.
% 83.75/83.92 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Ha1].
% 83.75/83.92 cut (((e21) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H4ef].
% 83.75/83.92 congruence.
% 83.75/83.92 apply zenon_H4ef. apply sym_equal. exact zenon_Hfc.
% 83.75/83.92 apply zenon_Ha1. apply refl_equal.
% 83.75/83.92 (* end of lemma zenon_L848_ *)
% 83.75/83.92 assert (zenon_L849_ : (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (op2 (e22) (e23)) (e22)) = (e23)) -> ((op2 (e22) (e23)) = (e21)) -> ((op2 (e23) (e22)) = (e23)) -> False).
% 83.75/83.92 do 0 intro. intros zenon_H11f zenon_H61a zenon_Hfc zenon_H582.
% 83.75/83.92 cut (((op2 (op2 (e22) (e23)) (e22)) = (e23)) = ((op2 (e21) (e22)) = (op2 (e23) (e22)))).
% 83.75/83.92 intro zenon_D_pnotp.
% 83.75/83.92 apply zenon_H11f.
% 83.75/83.92 rewrite <- zenon_D_pnotp.
% 83.75/83.92 exact zenon_H61a.
% 83.75/83.92 cut (((e23) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H583].
% 83.75/83.92 cut (((op2 (op2 (e22) (e23)) (e22)) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H62c].
% 83.75/83.92 congruence.
% 83.75/83.92 elim (classic ((op2 (e21) (e22)) = (op2 (e21) (e22)))); [ zenon_intro zenon_H125 | zenon_intro zenon_Hfb ].
% 83.75/83.92 cut (((op2 (e21) (e22)) = (op2 (e21) (e22))) = ((op2 (op2 (e22) (e23)) (e22)) = (op2 (e21) (e22)))).
% 83.75/83.92 intro zenon_D_pnotp.
% 83.75/83.92 apply zenon_H62c.
% 83.75/83.92 rewrite <- zenon_D_pnotp.
% 83.75/83.92 exact zenon_H125.
% 83.75/83.92 cut (((op2 (e21) (e22)) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hfb].
% 83.75/83.92 cut (((op2 (e21) (e22)) = (op2 (op2 (e22) (e23)) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H62b].
% 83.75/83.92 congruence.
% 83.75/83.92 apply (zenon_L848_); trivial.
% 83.75/83.92 apply zenon_Hfb. apply refl_equal.
% 83.75/83.92 apply zenon_Hfb. apply refl_equal.
% 83.75/83.92 apply zenon_H583. apply sym_equal. exact zenon_H582.
% 83.75/83.92 (* end of lemma zenon_L849_ *)
% 83.75/83.92 assert (zenon_L850_ : (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((op2 (e23) (e21)) = (e20)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (op2 (e22) (e23)) (e22)) = (e23)) -> ((op2 (e22) (e23)) = (e21)) -> False).
% 83.75/83.92 do 0 intro. intros zenon_H584 zenon_H11e zenon_H50f zenon_H112 zenon_H78 zenon_H7a zenon_Hf8 zenon_H11f zenon_H61a zenon_Hfc.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H584); [ zenon_intro zenon_H121 | zenon_intro zenon_H585 ].
% 83.75/83.92 apply (zenon_L600_); trivial.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H585); [ zenon_intro zenon_H111 | zenon_intro zenon_H586 ].
% 83.75/83.92 apply (zenon_L66_); trivial.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H586); [ zenon_intro zenon_H50d | zenon_intro zenon_H582 ].
% 83.75/83.92 apply (zenon_L598_); trivial.
% 83.75/83.92 apply (zenon_L849_); trivial.
% 83.75/83.92 (* end of lemma zenon_L850_ *)
% 83.75/83.92 assert (zenon_L851_ : (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e22)) = (e22)) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e21)) = (e20)) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((op2 (op2 (e22) (e23)) (e22)) = (e23)) -> (~((op2 (e22) (op2 (e22) (e23))) = (e23))) -> False).
% 83.75/83.92 do 0 intro. intros zenon_H628 zenon_H8a zenon_H5d zenon_H82 zenon_H7c zenon_H91 zenon_H8e zenon_H11f zenon_Hf8 zenon_H7a zenon_H78 zenon_H112 zenon_H50f zenon_H11e zenon_H584 zenon_H61a zenon_H619.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H628); [ zenon_intro zenon_H92 | zenon_intro zenon_H629 ].
% 83.75/83.92 apply (zenon_L34_); trivial.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H629); [ zenon_intro zenon_Hfc | zenon_intro zenon_H62a ].
% 83.75/83.92 apply (zenon_L850_); trivial.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H62a); [ zenon_intro zenon_Hfd | zenon_intro zenon_H51c ].
% 83.75/83.92 apply (zenon_L838_); trivial.
% 83.75/83.92 apply (zenon_L842_); trivial.
% 83.75/83.92 (* end of lemma zenon_L851_ *)
% 83.75/83.92 assert (zenon_L852_ : (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((e21) = (e22))) -> ((op2 (e21) (e21)) = (e21)) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((op2 (e23) (e21)) = (e20)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (op2 (e22) (e23)) (e23)) = (e22))) -> ((op2 (op2 (e22) (e23)) (e22)) = (e23)) -> (~((op2 (e22) (op2 (e22) (e23))) = (e23))) -> False).
% 83.75/83.92 do 0 intro. intros zenon_H142 zenon_Hdc zenon_Ha8 zenon_He1 zenon_H584 zenon_H11e zenon_H50f zenon_H112 zenon_H11f zenon_H628 zenon_H8a zenon_H7a zenon_H5d zenon_H78 zenon_H82 zenon_H7c zenon_H91 zenon_H8e zenon_H61f zenon_H61a zenon_H619.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 83.75/83.92 apply (zenon_L53_); trivial.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_He2 | zenon_intro zenon_H146 ].
% 83.75/83.92 apply (zenon_L54_); trivial.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H130 ].
% 83.75/83.92 apply (zenon_L851_); trivial.
% 83.75/83.92 apply (zenon_L843_); trivial.
% 83.75/83.92 (* end of lemma zenon_L852_ *)
% 83.75/83.92 assert (zenon_L853_ : (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((op2 (e21) (e20)) = (e20)) -> (~((e20) = (e21))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (op2 (e22) (e23)) (e23)) = (e22))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (op2 (e22) (e23))) = (e23))) -> ((op2 (op2 (e22) (e23)) (e22)) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.75/83.92 do 0 intro. intros zenon_H14f zenon_Hd1 zenon_Hf7 zenon_Ha3 zenon_Hef zenon_Hff zenon_Hab zenon_Had zenon_H140 zenon_H554 zenon_Hbb zenon_H61f zenon_H11f zenon_H112 zenon_H50f zenon_H584 zenon_Ha8 zenon_Hdc zenon_H142 zenon_H124 zenon_Hce zenon_H619 zenon_H61a zenon_H12f zenon_H628 zenon_H73 zenon_H91 zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ].
% 83.75/83.92 apply (zenon_L49_); trivial.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ].
% 83.75/83.92 apply (zenon_L50_); trivial.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ].
% 83.75/83.92 apply (zenon_L847_); trivial.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ].
% 83.75/83.92 apply (zenon_L652_); trivial.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ].
% 83.75/83.92 apply (zenon_L852_); trivial.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ].
% 83.75/83.92 apply (zenon_L71_); trivial.
% 83.75/83.92 apply (zenon_L846_); trivial.
% 83.75/83.92 (* end of lemma zenon_L853_ *)
% 83.75/83.92 assert (zenon_L854_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e21) (e20)) = (e23)) -> (~((op2 (op2 (e22) (e23)) (e23)) = (e22))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e21)) = (e20)) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (op2 (e22) (e23))) = (e23))) -> ((op2 (op2 (e22) (e23)) (e22)) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.75/83.92 do 0 intro. intros zenon_H140 zenon_Hd6 zenon_Hd5 zenon_H61f zenon_H11f zenon_H112 zenon_H50f zenon_H11e zenon_H584 zenon_Ha8 zenon_Hdc zenon_H142 zenon_H124 zenon_Hce zenon_H619 zenon_H61a zenon_H12f zenon_H628 zenon_H73 zenon_H91 zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ].
% 83.75/83.92 apply (zenon_L52_); trivial.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ].
% 83.75/83.92 apply (zenon_L852_); trivial.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ].
% 83.75/83.92 apply (zenon_L71_); trivial.
% 83.75/83.92 apply (zenon_L846_); trivial.
% 83.75/83.92 (* end of lemma zenon_L854_ *)
% 83.75/83.92 assert (zenon_L855_ : ((op2 (op2 (e22) (e23)) (e22)) = (e23)) -> ((op2 (e22) (e23)) = (e23)) -> ((op2 (e21) (e22)) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> False).
% 83.75/83.92 do 0 intro. intros zenon_H61a zenon_H51c zenon_H12a zenon_H11f.
% 83.75/83.92 elim (classic ((op2 (e23) (e22)) = (op2 (e23) (e22)))); [ zenon_intro zenon_H113 | zenon_intro zenon_H114 ].
% 83.75/83.92 cut (((op2 (e23) (e22)) = (op2 (e23) (e22))) = ((op2 (e21) (e22)) = (op2 (e23) (e22)))).
% 83.75/83.92 intro zenon_D_pnotp.
% 83.75/83.92 apply zenon_H11f.
% 83.75/83.92 rewrite <- zenon_D_pnotp.
% 83.75/83.92 exact zenon_H113.
% 83.75/83.92 cut (((op2 (e23) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H114].
% 83.75/83.92 cut (((op2 (e23) (e22)) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H62d].
% 83.75/83.92 congruence.
% 83.75/83.92 cut (((op2 (op2 (e22) (e23)) (e22)) = (e23)) = ((op2 (e23) (e22)) = (op2 (e21) (e22)))).
% 83.75/83.92 intro zenon_D_pnotp.
% 83.75/83.92 apply zenon_H62d.
% 83.75/83.92 rewrite <- zenon_D_pnotp.
% 83.75/83.92 exact zenon_H61a.
% 83.75/83.92 cut (((e23) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H12b].
% 83.75/83.92 cut (((op2 (op2 (e22) (e23)) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H62e].
% 83.75/83.92 congruence.
% 83.75/83.92 elim (classic ((op2 (e23) (e22)) = (op2 (e23) (e22)))); [ zenon_intro zenon_H113 | zenon_intro zenon_H114 ].
% 83.75/83.92 cut (((op2 (e23) (e22)) = (op2 (e23) (e22))) = ((op2 (op2 (e22) (e23)) (e22)) = (op2 (e23) (e22)))).
% 83.75/83.92 intro zenon_D_pnotp.
% 83.75/83.92 apply zenon_H62e.
% 83.75/83.92 rewrite <- zenon_D_pnotp.
% 83.75/83.92 exact zenon_H113.
% 83.75/83.92 cut (((op2 (e23) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H114].
% 83.75/83.92 cut (((op2 (e23) (e22)) = (op2 (op2 (e22) (e23)) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H62f].
% 83.75/83.92 congruence.
% 83.75/83.92 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Ha1].
% 83.75/83.92 cut (((e23) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H51d].
% 83.75/83.92 congruence.
% 83.75/83.92 apply zenon_H51d. apply sym_equal. exact zenon_H51c.
% 83.75/83.92 apply zenon_Ha1. apply refl_equal.
% 83.75/83.92 apply zenon_H114. apply refl_equal.
% 83.75/83.92 apply zenon_H114. apply refl_equal.
% 83.75/83.92 apply zenon_H12b. apply sym_equal. exact zenon_H12a.
% 83.75/83.92 apply zenon_H114. apply refl_equal.
% 83.75/83.92 apply zenon_H114. apply refl_equal.
% 83.75/83.92 (* end of lemma zenon_L855_ *)
% 83.75/83.92 assert (zenon_L856_ : (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (op2 (e22) (e23)) (e23)) = (e22))) -> ((op2 (e21) (e23)) = (e22)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (op2 (e22) (e23)) (e22)) = (e23)) -> ((op2 (e21) (e22)) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> False).
% 83.75/83.92 do 0 intro. intros zenon_H628 zenon_H8a zenon_H7a zenon_H5d zenon_H78 zenon_H82 zenon_H7c zenon_H91 zenon_H8e zenon_H61f zenon_H130 zenon_H12f zenon_H61a zenon_H12a zenon_H11f.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H628); [ zenon_intro zenon_H92 | zenon_intro zenon_H629 ].
% 83.75/83.92 apply (zenon_L34_); trivial.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H629); [ zenon_intro zenon_Hfc | zenon_intro zenon_H62a ].
% 83.75/83.92 apply (zenon_L840_); trivial.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H62a); [ zenon_intro zenon_Hfd | zenon_intro zenon_H51c ].
% 83.75/83.92 apply (zenon_L74_); trivial.
% 83.75/83.92 apply (zenon_L855_); trivial.
% 83.75/83.92 (* end of lemma zenon_L856_ *)
% 83.75/83.92 assert (zenon_L857_ : (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((e21) = (e23))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (op2 (e22) (e23)) (e22)) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (op2 (e22) (e23)) (e23)) = (e22))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> ((op2 (e21) (e23)) = (e22)) -> (~((e22) = (e23))) -> False).
% 83.75/83.92 do 0 intro. intros zenon_H482 zenon_Hd6 zenon_Hac zenon_H472 zenon_H11f zenon_H61a zenon_H12f zenon_H61f zenon_H8e zenon_H91 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a zenon_H628 zenon_H130 zenon_H47f.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H482); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H483 ].
% 83.75/83.92 apply (zenon_L52_); trivial.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H483); [ zenon_intro zenon_H471 | zenon_intro zenon_H484 ].
% 83.75/83.92 apply (zenon_L529_); trivial.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H484); [ zenon_intro zenon_H12a | zenon_intro zenon_H47e ].
% 83.75/83.92 apply (zenon_L856_); trivial.
% 83.75/83.92 apply (zenon_L532_); trivial.
% 83.75/83.92 (* end of lemma zenon_L857_ *)
% 83.75/83.92 assert (zenon_L858_ : (~((op2 (e22) (e22)) = (op2 (op2 (e22) (e23)) (e22)))) -> ((op2 (e22) (e23)) = (e22)) -> False).
% 83.75/83.92 do 0 intro. intros zenon_H630 zenon_Hfd.
% 83.75/83.92 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Ha1].
% 83.75/83.92 cut (((e22) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H131].
% 83.75/83.92 congruence.
% 83.75/83.92 apply zenon_H131. apply sym_equal. exact zenon_Hfd.
% 83.75/83.92 apply zenon_Ha1. apply refl_equal.
% 83.75/83.92 (* end of lemma zenon_L858_ *)
% 83.75/83.92 assert (zenon_L859_ : ((op2 (op2 (e22) (e23)) (e22)) = (e23)) -> ((op2 (e22) (e23)) = (e22)) -> ((op2 (e21) (e22)) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> False).
% 83.75/83.92 do 0 intro. intros zenon_H61a zenon_Hfd zenon_H12a zenon_Hf7.
% 83.75/83.92 elim (classic ((op2 (e22) (e22)) = (op2 (e22) (e22)))); [ zenon_intro zenon_He9 | zenon_intro zenon_Hea ].
% 83.75/83.92 cut (((op2 (e22) (e22)) = (op2 (e22) (e22))) = ((op2 (e21) (e22)) = (op2 (e22) (e22)))).
% 83.75/83.92 intro zenon_D_pnotp.
% 83.75/83.92 apply zenon_Hf7.
% 83.75/83.92 rewrite <- zenon_D_pnotp.
% 83.75/83.92 exact zenon_He9.
% 83.75/83.92 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hea].
% 83.75/83.92 cut (((op2 (e22) (e22)) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H631].
% 83.75/83.92 congruence.
% 83.75/83.92 cut (((op2 (op2 (e22) (e23)) (e22)) = (e23)) = ((op2 (e22) (e22)) = (op2 (e21) (e22)))).
% 83.75/83.92 intro zenon_D_pnotp.
% 83.75/83.92 apply zenon_H631.
% 83.75/83.92 rewrite <- zenon_D_pnotp.
% 83.75/83.92 exact zenon_H61a.
% 83.75/83.92 cut (((e23) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H12b].
% 83.75/83.92 cut (((op2 (op2 (e22) (e23)) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H632].
% 83.75/83.92 congruence.
% 83.75/83.92 elim (classic ((op2 (e22) (e22)) = (op2 (e22) (e22)))); [ zenon_intro zenon_He9 | zenon_intro zenon_Hea ].
% 83.75/83.92 cut (((op2 (e22) (e22)) = (op2 (e22) (e22))) = ((op2 (op2 (e22) (e23)) (e22)) = (op2 (e22) (e22)))).
% 83.75/83.92 intro zenon_D_pnotp.
% 83.75/83.92 apply zenon_H632.
% 83.75/83.92 rewrite <- zenon_D_pnotp.
% 83.75/83.92 exact zenon_He9.
% 83.75/83.92 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hea].
% 83.75/83.92 cut (((op2 (e22) (e22)) = (op2 (op2 (e22) (e23)) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H630].
% 83.75/83.92 congruence.
% 83.75/83.92 apply (zenon_L858_); trivial.
% 83.75/83.92 apply zenon_Hea. apply refl_equal.
% 83.75/83.92 apply zenon_Hea. apply refl_equal.
% 83.75/83.92 apply zenon_H12b. apply sym_equal. exact zenon_H12a.
% 83.75/83.92 apply zenon_Hea. apply refl_equal.
% 83.75/83.92 apply zenon_Hea. apply refl_equal.
% 83.75/83.92 (* end of lemma zenon_L859_ *)
% 83.75/83.92 assert (zenon_L860_ : (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (op2 (e22) (e23)) (e22)) = (e23)) -> ((op2 (e22) (e23)) = (e21)) -> ((op2 (e21) (e23)) = (e23)) -> False).
% 83.75/83.92 do 0 intro. intros zenon_H633 zenon_H61a zenon_Hfc zenon_H47e.
% 83.75/83.92 cut (((op2 (op2 (e22) (e23)) (e22)) = (e23)) = ((op2 (e21) (e22)) = (op2 (e21) (e23)))).
% 83.75/83.92 intro zenon_D_pnotp.
% 83.75/83.92 apply zenon_H633.
% 83.75/83.92 rewrite <- zenon_D_pnotp.
% 83.75/83.92 exact zenon_H61a.
% 83.75/83.92 cut (((e23) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H577].
% 83.75/83.92 cut (((op2 (op2 (e22) (e23)) (e22)) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H62c].
% 83.75/83.92 congruence.
% 83.75/83.92 elim (classic ((op2 (e21) (e22)) = (op2 (e21) (e22)))); [ zenon_intro zenon_H125 | zenon_intro zenon_Hfb ].
% 83.75/83.92 cut (((op2 (e21) (e22)) = (op2 (e21) (e22))) = ((op2 (op2 (e22) (e23)) (e22)) = (op2 (e21) (e22)))).
% 83.75/83.92 intro zenon_D_pnotp.
% 83.75/83.92 apply zenon_H62c.
% 83.75/83.92 rewrite <- zenon_D_pnotp.
% 83.75/83.92 exact zenon_H125.
% 83.75/83.92 cut (((op2 (e21) (e22)) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hfb].
% 83.75/83.92 cut (((op2 (e21) (e22)) = (op2 (op2 (e22) (e23)) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H62b].
% 83.75/83.92 congruence.
% 83.75/83.92 apply (zenon_L848_); trivial.
% 83.75/83.92 apply zenon_Hfb. apply refl_equal.
% 83.75/83.92 apply zenon_Hfb. apply refl_equal.
% 83.75/83.92 apply zenon_H577. apply sym_equal. exact zenon_H47e.
% 83.75/83.92 (* end of lemma zenon_L860_ *)
% 83.75/83.92 assert (zenon_L861_ : (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> ((op2 (e21) (e23)) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (op2 (e22) (e23)) (e22)) = (e23)) -> ((op2 (e21) (e22)) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> False).
% 83.75/83.92 do 0 intro. intros zenon_H628 zenon_H8a zenon_H7a zenon_H5d zenon_H78 zenon_H82 zenon_H7c zenon_H91 zenon_H8e zenon_H47e zenon_H633 zenon_Hf7 zenon_H61a zenon_H12a zenon_H11f.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H628); [ zenon_intro zenon_H92 | zenon_intro zenon_H629 ].
% 83.75/83.92 apply (zenon_L34_); trivial.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H629); [ zenon_intro zenon_Hfc | zenon_intro zenon_H62a ].
% 83.75/83.92 apply (zenon_L860_); trivial.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H62a); [ zenon_intro zenon_Hfd | zenon_intro zenon_H51c ].
% 83.75/83.92 apply (zenon_L859_); trivial.
% 83.75/83.92 apply (zenon_L855_); trivial.
% 83.75/83.92 (* end of lemma zenon_L861_ *)
% 83.75/83.92 assert (zenon_L862_ : (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((op2 (e20) (e23)) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> ((op2 (e23) (e23)) = (e22)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (op2 (e22) (e23)) (e22)) = (e23)) -> ((op2 (e21) (e22)) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> False).
% 83.75/83.92 do 0 intro. intros zenon_H57a zenon_H63 zenon_H73 zenon_Hac zenon_H529 zenon_H4fc zenon_H57e zenon_H628 zenon_H8a zenon_H7a zenon_H5d zenon_H78 zenon_H82 zenon_H7c zenon_H91 zenon_H8e zenon_H633 zenon_Hf7 zenon_H61a zenon_H12a zenon_H11f.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H57a); [ zenon_intro zenon_H74 | zenon_intro zenon_H57b ].
% 83.75/83.92 apply (zenon_L26_); trivial.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H57b); [ zenon_intro zenon_H13c | zenon_intro zenon_H57c ].
% 83.75/83.92 apply (zenon_L691_); trivial.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H57c); [ zenon_intro zenon_H130 | zenon_intro zenon_H47e ].
% 83.75/83.92 apply (zenon_L692_); trivial.
% 83.75/83.92 apply (zenon_L861_); trivial.
% 83.75/83.92 (* end of lemma zenon_L862_ *)
% 83.75/83.92 assert (zenon_L863_ : (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e22) = (e23))) -> (~((op2 (op2 (e22) (e23)) (e23)) = (e22))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((e21) = (e23))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((op2 (e20) (e23)) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (op2 (e22) (e23)) (e22)) = (e23)) -> ((op2 (e21) (e22)) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> False).
% 83.75/83.92 do 0 intro. intros zenon_H57f zenon_H47f zenon_H61f zenon_H12f zenon_H472 zenon_Hd6 zenon_H482 zenon_H57a zenon_H63 zenon_H73 zenon_Hac zenon_H529 zenon_H57e zenon_H628 zenon_H8a zenon_H7a zenon_H5d zenon_H78 zenon_H82 zenon_H7c zenon_H91 zenon_H8e zenon_H633 zenon_Hf7 zenon_H61a zenon_H12a zenon_H11f.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H57f); [ zenon_intro zenon_H81 | zenon_intro zenon_H580 ].
% 83.75/83.92 apply (zenon_L29_); trivial.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H580); [ zenon_intro zenon_H130 | zenon_intro zenon_H581 ].
% 83.75/83.92 apply (zenon_L857_); trivial.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H581); [ zenon_intro zenon_Hfd | zenon_intro zenon_H4fc ].
% 83.75/83.92 apply (zenon_L859_); trivial.
% 83.75/83.92 apply (zenon_L862_); trivial.
% 83.75/83.92 (* end of lemma zenon_L863_ *)
% 83.75/83.92 assert (zenon_L864_ : (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e22)) = (e23)) -> ((op2 (op2 (e22) (e23)) (e22)) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> ((op2 (e21) (e20)) = (e21)) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((e21) = (e23))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (op2 (e22) (e23)) (e23)) = (e22))) -> (~((e22) = (e23))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.75/83.92 do 0 intro. intros zenon_Hce zenon_H11f zenon_H12a zenon_H61a zenon_Hf7 zenon_H633 zenon_H628 zenon_H57e zenon_H529 zenon_Hac zenon_H57a zenon_H482 zenon_Hd6 zenon_H472 zenon_H12f zenon_H61f zenon_H47f zenon_H57f zenon_H73 zenon_H91 zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H63 | zenon_intro zenon_Hcf ].
% 83.75/83.92 apply (zenon_L863_); trivial.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H74 | zenon_intro zenon_Hd0 ].
% 83.75/83.92 apply (zenon_L32_); trivial.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H92 | zenon_intro zenon_H95 ].
% 83.75/83.92 apply (zenon_L34_); trivial.
% 83.75/83.92 apply (zenon_L36_); trivial.
% 83.75/83.92 (* end of lemma zenon_L864_ *)
% 83.75/83.92 assert (zenon_L865_ : (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> ((op2 (e23) (e23)) = (e22)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (op2 (e22) (e23)) (e22)) = (e23)) -> ((op2 (e22) (e23)) = (e21)) -> False).
% 83.75/83.92 do 0 intro. intros zenon_H57a zenon_H8a zenon_H7a zenon_H5d zenon_H78 zenon_H82 zenon_H7c zenon_H73 zenon_H8e zenon_Hac zenon_H529 zenon_H4fc zenon_H57e zenon_H633 zenon_H61a zenon_Hfc.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H57a); [ zenon_intro zenon_H74 | zenon_intro zenon_H57b ].
% 83.75/83.92 apply (zenon_L32_); trivial.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H57b); [ zenon_intro zenon_H13c | zenon_intro zenon_H57c ].
% 83.75/83.92 apply (zenon_L691_); trivial.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H57c); [ zenon_intro zenon_H130 | zenon_intro zenon_H47e ].
% 83.75/83.92 apply (zenon_L692_); trivial.
% 83.75/83.92 apply (zenon_L860_); trivial.
% 83.75/83.92 (* end of lemma zenon_L865_ *)
% 83.75/83.92 assert (zenon_L866_ : (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e23)) = (e22)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> ((op2 (e21) (e20)) = (e21)) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((op2 (op2 (e22) (e23)) (e22)) = (e23)) -> (~((op2 (e22) (op2 (e22) (e23))) = (e23))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e20)) = (e23)) -> False).
% 83.75/83.92 do 0 intro. intros zenon_H628 zenon_H91 zenon_H633 zenon_H57e zenon_H4fc zenon_H529 zenon_Hac zenon_H8e zenon_H73 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a zenon_H57a zenon_H61a zenon_H619 zenon_H51b zenon_H152.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H628); [ zenon_intro zenon_H92 | zenon_intro zenon_H629 ].
% 83.75/83.92 apply (zenon_L34_); trivial.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H629); [ zenon_intro zenon_Hfc | zenon_intro zenon_H62a ].
% 83.75/83.92 apply (zenon_L865_); trivial.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H62a); [ zenon_intro zenon_Hfd | zenon_intro zenon_H51c ].
% 83.75/83.92 apply (zenon_L838_); trivial.
% 83.75/83.92 apply (zenon_L607_); trivial.
% 83.75/83.92 (* end of lemma zenon_L866_ *)
% 83.75/83.92 assert (zenon_L867_ : (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (op2 (e22) (e23)) (e23)) = (e22))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((e21) = (e23))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e22) = (e23))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> ((op2 (e21) (e20)) = (e21)) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((op2 (op2 (e22) (e23)) (e22)) = (e23)) -> (~((op2 (e22) (op2 (e22) (e23))) = (e23))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e20)) = (e23)) -> False).
% 83.75/83.92 do 0 intro. intros zenon_H94 zenon_H61f zenon_H12f zenon_H472 zenon_Hd6 zenon_H482 zenon_Hf7 zenon_H11f zenon_Hce zenon_H57f zenon_H47f zenon_H628 zenon_H91 zenon_H633 zenon_H57e zenon_H529 zenon_Hac zenon_H8e zenon_H73 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a zenon_H57a zenon_H61a zenon_H619 zenon_H51b zenon_H152.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H482); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H483 ].
% 83.75/83.92 apply (zenon_L52_); trivial.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H483); [ zenon_intro zenon_H471 | zenon_intro zenon_H484 ].
% 83.75/83.92 apply (zenon_L529_); trivial.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H484); [ zenon_intro zenon_H12a | zenon_intro zenon_H47e ].
% 83.75/83.92 apply (zenon_L864_); trivial.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H57f); [ zenon_intro zenon_H81 | zenon_intro zenon_H580 ].
% 83.75/83.92 apply (zenon_L29_); trivial.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H580); [ zenon_intro zenon_H130 | zenon_intro zenon_H581 ].
% 83.75/83.92 apply (zenon_L532_); trivial.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H581); [ zenon_intro zenon_Hfd | zenon_intro zenon_H4fc ].
% 83.75/83.92 apply (zenon_L838_); trivial.
% 83.75/83.92 apply (zenon_L866_); trivial.
% 83.75/83.92 (* end of lemma zenon_L867_ *)
% 83.75/83.92 assert (zenon_L868_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((op2 (e22) (e20)) = (e23)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((e22) = (e23))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((e21) = (e23))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (op2 (e22) (e23)) (e23)) = (e22))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e21)) = (e20)) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (op2 (e22) (e23))) = (e23))) -> ((op2 (op2 (e22) (e23)) (e22)) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.75/83.92 do 0 intro. intros zenon_H140 zenon_H152 zenon_H51b zenon_H57a zenon_H529 zenon_H57e zenon_H633 zenon_H47f zenon_H57f zenon_Hf7 zenon_H482 zenon_Hd6 zenon_H472 zenon_H61f zenon_H11f zenon_H112 zenon_H50f zenon_H11e zenon_H584 zenon_Ha8 zenon_Hdc zenon_H142 zenon_H124 zenon_Hce zenon_H619 zenon_H61a zenon_H12f zenon_H628 zenon_H73 zenon_H91 zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ].
% 83.75/83.92 apply (zenon_L867_); trivial.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ].
% 83.75/83.92 apply (zenon_L852_); trivial.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ].
% 83.75/83.92 apply (zenon_L71_); trivial.
% 83.75/83.92 apply (zenon_L846_); trivial.
% 83.75/83.92 (* end of lemma zenon_L868_ *)
% 83.75/83.92 assert (zenon_L869_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e21) (e20)) = (e23)) -> (~((e20) = (e21))) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (op2 (e22) (e23))) = (e23))) -> ((op2 (op2 (e22) (e23)) (e22)) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.75/83.92 do 0 intro. intros zenon_H140 zenon_Hd6 zenon_Hd5 zenon_Had zenon_Hd2 zenon_H124 zenon_Hce zenon_H619 zenon_H61a zenon_H12f zenon_H628 zenon_H73 zenon_H91 zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ].
% 83.75/83.92 apply (zenon_L52_); trivial.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ].
% 83.75/83.92 apply (zenon_L536_); trivial.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ].
% 83.75/83.92 apply (zenon_L71_); trivial.
% 83.75/83.92 apply (zenon_L846_); trivial.
% 83.75/83.92 (* end of lemma zenon_L869_ *)
% 83.75/83.92 assert (zenon_L870_ : (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((e20) = (e21))) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e21) (e20)) = (e23)) -> (~((op2 (op2 (e22) (e23)) (e23)) = (e22))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (op2 (e22) (e23))) = (e23))) -> ((op2 (op2 (e22) (e23)) (e22)) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.75/83.92 do 0 intro. intros zenon_H14f zenon_Had zenon_H21d zenon_H48b zenon_H140 zenon_Hd6 zenon_Hd5 zenon_H61f zenon_H11f zenon_H112 zenon_H50f zenon_H584 zenon_Ha8 zenon_Hdc zenon_H142 zenon_H124 zenon_Hce zenon_H619 zenon_H61a zenon_H12f zenon_H628 zenon_H73 zenon_H91 zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ].
% 83.75/83.92 apply (zenon_L49_); trivial.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ].
% 83.75/83.92 apply (zenon_L869_); trivial.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ].
% 83.75/83.92 apply (zenon_L542_); trivial.
% 83.75/83.92 apply (zenon_L854_); trivial.
% 83.75/83.92 (* end of lemma zenon_L870_ *)
% 83.75/83.92 assert (zenon_L871_ : (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e23)) = (e22)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> ((op2 (e21) (e20)) = (e21)) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((op2 (op2 (e22) (e23)) (e22)) = (e23)) -> (~((op2 (e22) (op2 (e22) (e23))) = (e23))) -> False).
% 83.75/83.92 do 0 intro. intros zenon_H628 zenon_H91 zenon_H633 zenon_H57e zenon_H4fc zenon_H529 zenon_Hac zenon_H8e zenon_H73 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a zenon_H57a zenon_H61a zenon_H619.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H628); [ zenon_intro zenon_H92 | zenon_intro zenon_H629 ].
% 83.75/83.92 apply (zenon_L34_); trivial.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H629); [ zenon_intro zenon_Hfc | zenon_intro zenon_H62a ].
% 83.75/83.92 apply (zenon_L865_); trivial.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H62a); [ zenon_intro zenon_Hfd | zenon_intro zenon_H51c ].
% 83.75/83.92 apply (zenon_L838_); trivial.
% 83.75/83.92 apply (zenon_L842_); trivial.
% 83.75/83.92 (* end of lemma zenon_L871_ *)
% 83.75/83.92 assert (zenon_L872_ : (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e22) = (e23))) -> ((op2 (e21) (e23)) = (e23)) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> ((op2 (e21) (e20)) = (e21)) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((op2 (op2 (e22) (e23)) (e22)) = (e23)) -> (~((op2 (e22) (op2 (e22) (e23))) = (e23))) -> False).
% 83.75/83.92 do 0 intro. intros zenon_H57f zenon_H47f zenon_H47e zenon_H628 zenon_H91 zenon_H633 zenon_H57e zenon_H529 zenon_Hac zenon_H8e zenon_H73 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a zenon_H57a zenon_H61a zenon_H619.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H57f); [ zenon_intro zenon_H81 | zenon_intro zenon_H580 ].
% 83.75/83.92 apply (zenon_L29_); trivial.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H580); [ zenon_intro zenon_H130 | zenon_intro zenon_H581 ].
% 83.75/83.92 apply (zenon_L532_); trivial.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H581); [ zenon_intro zenon_Hfd | zenon_intro zenon_H4fc ].
% 83.75/83.92 apply (zenon_L838_); trivial.
% 83.75/83.92 apply (zenon_L871_); trivial.
% 83.75/83.92 (* end of lemma zenon_L872_ *)
% 83.75/83.92 assert (zenon_L873_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((e22) = (e23))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (op2 (e22) (e23)) (e22)) = (e23)) -> (~((op2 (e22) (op2 (e22) (e23))) = (e23))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((e21) = (e22))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (op2 (e22) (e23)) (e23)) = (e22))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((e20) = (e21))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((e20) = (e23))) -> ((op2 (e22) (e20)) = (e20)) -> (~((e21) = (e23))) -> False).
% 83.75/83.92 do 0 intro. intros zenon_H15b zenon_H57a zenon_H529 zenon_H57e zenon_H633 zenon_H47f zenon_H57f zenon_Hf7 zenon_H482 zenon_H472 zenon_H15c zenon_Hb2 zenon_H8a zenon_H7a zenon_H5d zenon_H78 zenon_H82 zenon_H7c zenon_H94 zenon_H8e zenon_H91 zenon_H73 zenon_H628 zenon_H12f zenon_H61a zenon_H619 zenon_Hce zenon_H124 zenon_H142 zenon_Hdc zenon_Ha8 zenon_H584 zenon_H50f zenon_H112 zenon_H11f zenon_H61f zenon_H140 zenon_H48b zenon_Had zenon_H14f zenon_H21e zenon_H21d zenon_Hd6.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.75/83.92 apply (zenon_L41_); trivial.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H482); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H483 ].
% 83.75/83.92 apply (zenon_L870_); trivial.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H483); [ zenon_intro zenon_H471 | zenon_intro zenon_H484 ].
% 83.75/83.92 apply (zenon_L529_); trivial.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H484); [ zenon_intro zenon_H12a | zenon_intro zenon_H47e ].
% 83.75/83.92 apply (zenon_L864_); trivial.
% 83.75/83.92 apply (zenon_L872_); trivial.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.75/83.92 apply (zenon_L152_); trivial.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ].
% 83.75/83.92 apply (zenon_L43_); trivial.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ].
% 83.75/83.92 apply (zenon_L870_); trivial.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ].
% 83.75/83.92 apply (zenon_L139_); trivial.
% 83.75/83.92 apply (zenon_L88_); trivial.
% 83.75/83.92 (* end of lemma zenon_L873_ *)
% 83.75/83.92 assert (zenon_L874_ : (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (op2 (e22) (e23))) = (e23))) -> ((op2 (op2 (e22) (e23)) (e22)) = (e23)) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((e22) = (e23))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((e21) = (e23))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (op2 (e22) (e23)) (e23)) = (e22))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e20)) = (e20)) -> (~((e20) = (e23))) -> False).
% 83.75/83.92 do 0 intro. intros zenon_H15c zenon_Hb2 zenon_H51b zenon_H619 zenon_H61a zenon_H57a zenon_H8a zenon_H7a zenon_H5d zenon_H78 zenon_H82 zenon_H7c zenon_H73 zenon_H8e zenon_Hac zenon_H529 zenon_H57e zenon_H633 zenon_H91 zenon_H628 zenon_H47f zenon_H57f zenon_Hce zenon_H11f zenon_Hf7 zenon_H482 zenon_Hd6 zenon_H472 zenon_H12f zenon_H61f zenon_H94 zenon_H10b zenon_H21e.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ].
% 83.75/83.92 apply (zenon_L43_); trivial.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ].
% 83.75/83.92 apply (zenon_L52_); trivial.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ].
% 83.75/83.92 apply (zenon_L867_); trivial.
% 83.75/83.92 apply (zenon_L630_); trivial.
% 83.75/83.92 (* end of lemma zenon_L874_ *)
% 83.75/83.92 assert (zenon_L875_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e20) = (e23))) -> ((op2 (e23) (e20)) = (e20)) -> (~((op2 (op2 (e22) (e23)) (e23)) = (e22))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((e21) = (e23))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e22) = (e23))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((e20) = (e21))) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (op2 (e22) (e23))) = (e23))) -> ((op2 (op2 (e22) (e23)) (e22)) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.75/83.92 do 0 intro. intros zenon_H140 zenon_H21e zenon_H10b zenon_H61f zenon_H472 zenon_Hd6 zenon_H482 zenon_Hf7 zenon_H11f zenon_H57f zenon_H47f zenon_H633 zenon_H57e zenon_H529 zenon_H57a zenon_H51b zenon_Hb2 zenon_H15c zenon_Had zenon_Hd2 zenon_H124 zenon_Hce zenon_H619 zenon_H61a zenon_H12f zenon_H628 zenon_H73 zenon_H91 zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ].
% 83.75/83.92 apply (zenon_L874_); trivial.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ].
% 83.75/83.92 apply (zenon_L536_); trivial.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ].
% 83.75/83.92 apply (zenon_L71_); trivial.
% 83.75/83.92 apply (zenon_L846_); trivial.
% 83.75/83.92 (* end of lemma zenon_L875_ *)
% 83.75/83.92 assert (zenon_L876_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e20) = (e23))) -> (~((e21) = (e23))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((e22) = (e23))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (op2 (e22) (e23)) (e22)) = (e23)) -> (~((op2 (e22) (op2 (e22) (e23))) = (e23))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (op2 (e22) (e23)) (e23)) = (e22))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e20)) = (e20)) -> (~((e20) = (e21))) -> False).
% 83.75/83.92 do 0 intro. intros zenon_H15b zenon_H21e zenon_Hd6 zenon_H14f zenon_H15c zenon_Hb2 zenon_H51b zenon_H57a zenon_H529 zenon_H57e zenon_H633 zenon_H47f zenon_H57f zenon_H11f zenon_H482 zenon_H472 zenon_H8a zenon_H7a zenon_H5d zenon_H78 zenon_H82 zenon_H7c zenon_H94 zenon_H8e zenon_H91 zenon_H73 zenon_H628 zenon_H12f zenon_H61a zenon_H619 zenon_Hce zenon_H124 zenon_H142 zenon_Hdc zenon_Ha8 zenon_Hf7 zenon_Ha3 zenon_Hef zenon_Hff zenon_H61f zenon_H140 zenon_H13e zenon_H10b zenon_Had.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.75/83.92 apply (zenon_L41_); trivial.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.75/83.92 apply (zenon_L874_); trivial.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ].
% 83.75/83.92 apply (zenon_L43_); trivial.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ].
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ].
% 83.75/83.92 apply (zenon_L49_); trivial.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ].
% 83.75/83.92 apply (zenon_L875_); trivial.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ].
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ].
% 83.75/83.92 apply (zenon_L52_); trivial.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ].
% 83.75/83.92 apply (zenon_L844_); trivial.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ].
% 83.75/83.92 apply (zenon_L71_); trivial.
% 83.75/83.92 apply (zenon_L846_); trivial.
% 83.75/83.92 apply (zenon_L648_); trivial.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ].
% 83.75/83.92 apply (zenon_L83_); trivial.
% 83.75/83.92 apply (zenon_L630_); trivial.
% 83.75/83.92 apply (zenon_L64_); trivial.
% 83.75/83.92 (* end of lemma zenon_L876_ *)
% 83.75/83.92 assert (zenon_L877_ : ((~((op2 (e22) (op2 (e22) (e23))) = (e23)))/\(((op2 (op2 (e22) (e23)) (e22)) = (e23))/\(~((op2 (op2 (e22) (e23)) (e23)) = (e22))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e20) = (e23))) -> (~((e21) = (e23))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((e22) = (e23))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((e20) = (e21))) -> False).
% 83.75/83.92 do 0 intro. intros zenon_H634 zenon_H48d zenon_Hd1 zenon_H554 zenon_H48b zenon_H112 zenon_H50f zenon_H584 zenon_H15b zenon_H21e zenon_Hd6 zenon_H14f zenon_H15c zenon_Hb2 zenon_H51b zenon_H57a zenon_H529 zenon_H57e zenon_H633 zenon_H47f zenon_H57f zenon_H11f zenon_H482 zenon_H472 zenon_H8a zenon_H7a zenon_H5d zenon_H78 zenon_H82 zenon_H7c zenon_H94 zenon_H8e zenon_H91 zenon_H73 zenon_H628 zenon_H12f zenon_Hce zenon_H124 zenon_H142 zenon_Hdc zenon_Ha8 zenon_Hf7 zenon_Ha3 zenon_Hef zenon_Hff zenon_H140 zenon_H13e zenon_Had.
% 83.75/83.92 apply (zenon_and_s _ _ zenon_H634). zenon_intro zenon_H619. zenon_intro zenon_H635.
% 83.75/83.92 apply (zenon_and_s _ _ zenon_H635). zenon_intro zenon_H61a. zenon_intro zenon_H61f.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.75/83.92 apply (zenon_L40_); trivial.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.75/83.92 apply (zenon_L41_); trivial.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.75/83.92 apply (zenon_L42_); trivial.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.75/83.92 apply (zenon_L853_); trivial.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ].
% 83.75/83.92 apply (zenon_L43_); trivial.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ].
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ].
% 83.75/83.92 apply (zenon_L49_); trivial.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ].
% 83.75/83.92 apply (zenon_L50_); trivial.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ].
% 83.75/83.92 apply (zenon_L847_); trivial.
% 83.75/83.92 apply (zenon_L854_); trivial.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ].
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ].
% 83.75/83.92 apply (zenon_L49_); trivial.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ].
% 83.75/83.92 apply (zenon_L50_); trivial.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ].
% 83.75/83.92 apply (zenon_L847_); trivial.
% 83.75/83.92 apply (zenon_L868_); trivial.
% 83.75/83.92 apply (zenon_L88_); trivial.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.75/83.92 apply (zenon_L873_); trivial.
% 83.75/83.92 apply (zenon_L876_); trivial.
% 83.75/83.92 (* end of lemma zenon_L877_ *)
% 83.75/83.92 assert (zenon_L878_ : (~((op2 (e23) (op2 (e23) (e20))) = (e20))) -> ((op2 (e23) (e20)) = (e20)) -> False).
% 83.75/83.92 do 0 intro. intros zenon_H636 zenon_H10b.
% 83.75/83.92 cut (((op2 (e23) (e20)) = (e20)) = ((op2 (e23) (op2 (e23) (e20))) = (e20))).
% 83.75/83.92 intro zenon_D_pnotp.
% 83.75/83.92 apply zenon_H636.
% 83.75/83.92 rewrite <- zenon_D_pnotp.
% 83.75/83.92 exact zenon_H10b.
% 83.75/83.92 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H60].
% 83.75/83.92 cut (((op2 (e23) (e20)) = (op2 (e23) (op2 (e23) (e20))))); [idtac | apply NNPP; zenon_intro zenon_H637].
% 83.75/83.92 congruence.
% 83.75/83.92 elim (classic ((op2 (e23) (op2 (e23) (e20))) = (op2 (e23) (op2 (e23) (e20))))); [ zenon_intro zenon_H638 | zenon_intro zenon_H639 ].
% 83.75/83.92 cut (((op2 (e23) (op2 (e23) (e20))) = (op2 (e23) (op2 (e23) (e20)))) = ((op2 (e23) (e20)) = (op2 (e23) (op2 (e23) (e20))))).
% 83.75/83.92 intro zenon_D_pnotp.
% 83.75/83.92 apply zenon_H637.
% 83.75/83.92 rewrite <- zenon_D_pnotp.
% 83.75/83.92 exact zenon_H638.
% 83.75/83.92 cut (((op2 (e23) (op2 (e23) (e20))) = (op2 (e23) (op2 (e23) (e20))))); [idtac | apply NNPP; zenon_intro zenon_H639].
% 83.75/83.92 cut (((op2 (e23) (op2 (e23) (e20))) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H63a].
% 83.75/83.92 congruence.
% 83.75/83.92 cut (((op2 (e23) (e20)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H5f1].
% 83.75/83.92 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_Hd8].
% 83.75/83.92 congruence.
% 83.75/83.92 apply zenon_Hd8. apply refl_equal.
% 83.75/83.92 exact (zenon_H5f1 zenon_H10b).
% 83.75/83.92 apply zenon_H639. apply refl_equal.
% 83.75/83.92 apply zenon_H639. apply refl_equal.
% 83.75/83.92 apply zenon_H60. apply refl_equal.
% 83.75/83.92 (* end of lemma zenon_L878_ *)
% 83.75/83.92 assert (zenon_L879_ : ((op2 (op2 (e23) (e20)) (e23)) = (e20)) -> ((op2 (e23) (e20)) = (e23)) -> ((op2 (e20) (e23)) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> False).
% 83.75/83.92 do 0 intro. intros zenon_H63b zenon_H159 zenon_H63 zenon_H94.
% 83.75/83.92 elim (classic ((op2 (e23) (e23)) = (op2 (e23) (e23)))); [ zenon_intro zenon_H523 | zenon_intro zenon_H63c ].
% 83.75/83.92 cut (((op2 (e23) (e23)) = (op2 (e23) (e23))) = ((op2 (e20) (e23)) = (op2 (e23) (e23)))).
% 83.75/83.92 intro zenon_D_pnotp.
% 83.75/83.92 apply zenon_H94.
% 83.75/83.92 rewrite <- zenon_D_pnotp.
% 83.75/83.92 exact zenon_H523.
% 83.75/83.92 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H63c].
% 83.75/83.92 cut (((op2 (e23) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H63d].
% 83.75/83.92 congruence.
% 83.75/83.92 cut (((op2 (op2 (e23) (e20)) (e23)) = (e20)) = ((op2 (e23) (e23)) = (op2 (e20) (e23)))).
% 83.75/83.92 intro zenon_D_pnotp.
% 83.75/83.92 apply zenon_H63d.
% 83.75/83.92 rewrite <- zenon_D_pnotp.
% 83.75/83.92 exact zenon_H63b.
% 83.75/83.92 cut (((e20) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H4e2].
% 83.75/83.92 cut (((op2 (op2 (e23) (e20)) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H63e].
% 83.75/83.92 congruence.
% 83.75/83.92 elim (classic ((op2 (e23) (e23)) = (op2 (e23) (e23)))); [ zenon_intro zenon_H523 | zenon_intro zenon_H63c ].
% 83.75/83.92 cut (((op2 (e23) (e23)) = (op2 (e23) (e23))) = ((op2 (op2 (e23) (e20)) (e23)) = (op2 (e23) (e23)))).
% 83.75/83.92 intro zenon_D_pnotp.
% 83.75/83.92 apply zenon_H63e.
% 83.75/83.92 rewrite <- zenon_D_pnotp.
% 83.75/83.92 exact zenon_H523.
% 83.75/83.92 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H63c].
% 83.75/83.92 cut (((op2 (e23) (e23)) = (op2 (op2 (e23) (e20)) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H63f].
% 83.75/83.92 congruence.
% 83.75/83.92 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_Hd8].
% 83.75/83.92 cut (((e23) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H535].
% 83.75/83.92 congruence.
% 83.75/83.92 apply zenon_H535. apply sym_equal. exact zenon_H159.
% 83.75/83.92 apply zenon_Hd8. apply refl_equal.
% 83.75/83.92 apply zenon_H63c. apply refl_equal.
% 83.75/83.92 apply zenon_H63c. apply refl_equal.
% 83.75/83.92 apply zenon_H4e2. apply sym_equal. exact zenon_H63.
% 83.75/83.92 apply zenon_H63c. apply refl_equal.
% 83.75/83.92 apply zenon_H63c. apply refl_equal.
% 83.75/83.92 (* end of lemma zenon_L879_ *)
% 83.75/83.92 assert (zenon_L880_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e23) (op2 (e23) (e20))) = (e20))) -> ((op2 (e23) (e21)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> ((op2 (op2 (e23) (e20)) (e23)) = (e20)) -> ((op2 (e20) (e23)) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> False).
% 83.75/83.92 do 0 intro. intros zenon_H640 zenon_H636 zenon_H10e zenon_H13e zenon_H509 zenon_H78 zenon_H63b zenon_H63 zenon_H94.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H640); [ zenon_intro zenon_H10b | zenon_intro zenon_H641 ].
% 83.75/83.92 apply (zenon_L878_); trivial.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H641); [ zenon_intro zenon_H10c | zenon_intro zenon_H642 ].
% 83.75/83.92 apply (zenon_L517_); trivial.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H642); [ zenon_intro zenon_H508 | zenon_intro zenon_H159 ].
% 83.75/83.92 apply (zenon_L597_); trivial.
% 83.75/83.92 apply (zenon_L879_); trivial.
% 83.75/83.92 (* end of lemma zenon_L880_ *)
% 83.75/83.92 assert (zenon_L881_ : (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e20) = (e21))) -> ((op2 (e21) (e21)) = (e20)) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e23) (op2 (e23) (e20))) = (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> ((op2 (op2 (e23) (e20)) (e23)) = (e20)) -> ((op2 (e20) (e23)) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> False).
% 83.75/83.92 do 0 intro. intros zenon_H141 zenon_H7a zenon_Hc3 zenon_Had zenon_Hd2 zenon_Hbb zenon_H48b zenon_H640 zenon_H636 zenon_H13e zenon_H509 zenon_H78 zenon_H63b zenon_H63 zenon_H94.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H139 | zenon_intro zenon_H147 ].
% 83.75/83.92 apply (zenon_L76_); trivial.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_He1 | zenon_intro zenon_H148 ].
% 83.75/83.92 apply (zenon_L536_); trivial.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_He5 | zenon_intro zenon_H10e ].
% 83.75/83.92 apply (zenon_L591_); trivial.
% 83.75/83.92 apply (zenon_L880_); trivial.
% 83.75/83.92 (* end of lemma zenon_L881_ *)
% 83.75/83.92 assert (zenon_L882_ : ((op2 (op2 (e23) (e20)) (e23)) = (e20)) -> ((op2 (e23) (e20)) = (e21)) -> ((op2 (e20) (e23)) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> False).
% 83.75/83.92 do 0 intro. intros zenon_H63b zenon_H10c zenon_H63 zenon_H73.
% 83.75/83.92 elim (classic ((op2 (e21) (e23)) = (op2 (e21) (e23)))); [ zenon_intro zenon_H643 | zenon_intro zenon_H132 ].
% 83.75/83.92 cut (((op2 (e21) (e23)) = (op2 (e21) (e23))) = ((op2 (e20) (e23)) = (op2 (e21) (e23)))).
% 83.75/83.92 intro zenon_D_pnotp.
% 83.75/83.92 apply zenon_H73.
% 83.75/83.92 rewrite <- zenon_D_pnotp.
% 83.75/83.92 exact zenon_H643.
% 83.75/83.92 cut (((op2 (e21) (e23)) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H132].
% 83.75/83.92 cut (((op2 (e21) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H644].
% 83.75/83.92 congruence.
% 83.75/83.92 cut (((op2 (op2 (e23) (e20)) (e23)) = (e20)) = ((op2 (e21) (e23)) = (op2 (e20) (e23)))).
% 83.75/83.92 intro zenon_D_pnotp.
% 83.75/83.92 apply zenon_H644.
% 83.75/83.92 rewrite <- zenon_D_pnotp.
% 83.75/83.92 exact zenon_H63b.
% 83.75/83.92 cut (((e20) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H4e2].
% 83.75/83.92 cut (((op2 (op2 (e23) (e20)) (e23)) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H645].
% 83.75/83.92 congruence.
% 83.75/83.92 elim (classic ((op2 (e21) (e23)) = (op2 (e21) (e23)))); [ zenon_intro zenon_H643 | zenon_intro zenon_H132 ].
% 83.75/83.92 cut (((op2 (e21) (e23)) = (op2 (e21) (e23))) = ((op2 (op2 (e23) (e20)) (e23)) = (op2 (e21) (e23)))).
% 83.75/83.92 intro zenon_D_pnotp.
% 83.75/83.92 apply zenon_H645.
% 83.75/83.92 rewrite <- zenon_D_pnotp.
% 83.75/83.92 exact zenon_H643.
% 83.75/83.92 cut (((op2 (e21) (e23)) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H132].
% 83.75/83.92 cut (((op2 (e21) (e23)) = (op2 (op2 (e23) (e20)) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H646].
% 83.75/83.92 congruence.
% 83.75/83.92 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_Hd8].
% 83.75/83.92 cut (((e21) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H45c].
% 83.75/83.92 congruence.
% 83.75/83.92 apply zenon_H45c. apply sym_equal. exact zenon_H10c.
% 83.75/83.92 apply zenon_Hd8. apply refl_equal.
% 83.75/83.92 apply zenon_H132. apply refl_equal.
% 83.75/83.92 apply zenon_H132. apply refl_equal.
% 83.75/83.92 apply zenon_H4e2. apply sym_equal. exact zenon_H63.
% 83.75/83.92 apply zenon_H132. apply refl_equal.
% 83.75/83.92 apply zenon_H132. apply refl_equal.
% 83.75/83.92 (* end of lemma zenon_L882_ *)
% 83.75/83.92 assert (zenon_L883_ : (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e20)) = (e21)) -> ((op2 (e23) (e23)) = (e21)) -> False).
% 83.75/83.92 do 0 intro. intros zenon_H118 zenon_H10c zenon_H119.
% 83.75/83.92 cut (((op2 (e23) (e20)) = (e21)) = ((op2 (e23) (e20)) = (op2 (e23) (e23)))).
% 83.75/83.92 intro zenon_D_pnotp.
% 83.75/83.92 apply zenon_H118.
% 83.75/83.92 rewrite <- zenon_D_pnotp.
% 83.75/83.92 exact zenon_H10c.
% 83.75/83.92 cut (((e21) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H11a].
% 83.75/83.92 cut (((op2 (e23) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hbe].
% 83.75/83.92 congruence.
% 83.75/83.92 apply zenon_Hbe. apply refl_equal.
% 83.75/83.92 apply zenon_H11a. apply sym_equal. exact zenon_H119.
% 83.75/83.92 (* end of lemma zenon_L883_ *)
% 83.75/83.92 assert (zenon_L884_ : (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((e21) = (e22))) -> ((op2 (e23) (e21)) = (e22)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e23) (op2 (e23) (e20))) = (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> ((op2 (op2 (e23) (e20)) (e23)) = (e20)) -> ((op2 (e20) (e23)) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> False).
% 83.75/83.92 do 0 intro. intros zenon_H11b zenon_H73 zenon_Ha8 zenon_H10f zenon_H112 zenon_H7a zenon_H640 zenon_H636 zenon_H118 zenon_H509 zenon_H78 zenon_H63b zenon_H63 zenon_H94.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10c | zenon_intro zenon_H11c ].
% 83.75/83.92 apply (zenon_L882_); trivial.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H10e | zenon_intro zenon_H11d ].
% 83.75/83.92 apply (zenon_L65_); trivial.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H111 | zenon_intro zenon_H119 ].
% 83.75/83.92 apply (zenon_L66_); trivial.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H640); [ zenon_intro zenon_H10b | zenon_intro zenon_H641 ].
% 83.75/83.92 apply (zenon_L878_); trivial.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H641); [ zenon_intro zenon_H10c | zenon_intro zenon_H642 ].
% 83.75/83.92 apply (zenon_L883_); trivial.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H642); [ zenon_intro zenon_H508 | zenon_intro zenon_H159 ].
% 83.75/83.92 apply (zenon_L597_); trivial.
% 83.75/83.92 apply (zenon_L879_); trivial.
% 83.75/83.92 (* end of lemma zenon_L884_ *)
% 83.75/83.92 assert (zenon_L885_ : (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> ((op2 (e23) (e21)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> ((op2 (op2 (e23) (e20)) (e23)) = (e20)) -> ((op2 (e20) (e23)) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> False).
% 83.75/83.92 do 0 intro. intros zenon_H11b zenon_H73 zenon_Had zenon_H112 zenon_H7a zenon_H640 zenon_H11e zenon_H13e zenon_H118 zenon_H509 zenon_H78 zenon_H63b zenon_H63 zenon_H94.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10c | zenon_intro zenon_H11c ].
% 83.75/83.92 apply (zenon_L882_); trivial.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H10e | zenon_intro zenon_H11d ].
% 83.75/83.92 apply (zenon_L733_); trivial.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H111 | zenon_intro zenon_H119 ].
% 83.75/83.92 apply (zenon_L66_); trivial.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H640); [ zenon_intro zenon_H10b | zenon_intro zenon_H641 ].
% 83.75/83.92 apply (zenon_L648_); trivial.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H641); [ zenon_intro zenon_H10c | zenon_intro zenon_H642 ].
% 83.75/83.92 apply (zenon_L883_); trivial.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H642); [ zenon_intro zenon_H508 | zenon_intro zenon_H159 ].
% 83.75/83.92 apply (zenon_L597_); trivial.
% 83.75/83.92 apply (zenon_L879_); trivial.
% 83.75/83.92 (* end of lemma zenon_L885_ *)
% 83.75/83.92 assert (zenon_L886_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e21) = (e22))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((e20) = (e23))) -> (~((e21) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((e20) = (e21))) -> ((op2 (e22) (e20)) = (e20)) -> ((op2 (op2 (e23) (e20)) (e23)) = (e20)) -> ((op2 (e20) (e23)) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> False).
% 83.75/83.92 do 0 intro. intros zenon_H15b zenon_Ha8 zenon_H78 zenon_H94 zenon_H21e zenon_Hd6 zenon_Hb2 zenon_H5d zenon_H7a zenon_H15c zenon_Had zenon_H21d zenon_H63b zenon_H63 zenon_H73.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.75/83.92 apply (zenon_L41_); trivial.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ].
% 83.75/83.92 apply (zenon_L43_); trivial.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ].
% 83.75/83.92 apply (zenon_L52_); trivial.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ].
% 83.75/83.92 apply (zenon_L139_); trivial.
% 83.75/83.92 apply (zenon_L879_); trivial.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.75/83.92 apply (zenon_L152_); trivial.
% 83.75/83.92 apply (zenon_L882_); trivial.
% 83.75/83.92 (* end of lemma zenon_L886_ *)
% 83.75/83.92 assert (zenon_L887_ : (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e20) (e23)) = (e20)) -> ((op2 (op2 (e23) (e20)) (e23)) = (e20)) -> (~((e20) = (e21))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((e21) = (e23))) -> (~((e20) = (e23))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (~((e21) = (e22))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e23) (op2 (e23) (e20))) = (e20))) -> False).
% 83.75/83.92 do 0 intro. intros zenon_H48d zenon_H14f zenon_H8a zenon_H48b zenon_H133 zenon_Ha3 zenon_Hc3 zenon_H141 zenon_H11b zenon_H112 zenon_H640 zenon_H13e zenon_H118 zenon_H509 zenon_H73 zenon_H63 zenon_H63b zenon_Had zenon_H15c zenon_H7a zenon_H5d zenon_Hb2 zenon_Hd6 zenon_H21e zenon_H94 zenon_H78 zenon_Ha8 zenon_H15b zenon_H636.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.75/83.92 apply (zenon_L40_); trivial.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.75/83.92 apply (zenon_L41_); trivial.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.75/83.92 apply (zenon_L42_); trivial.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ].
% 83.75/83.92 apply (zenon_L48_); trivial.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ].
% 83.75/83.92 apply (zenon_L881_); trivial.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ].
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H139 | zenon_intro zenon_H147 ].
% 83.75/83.92 apply (zenon_L76_); trivial.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_He1 | zenon_intro zenon_H148 ].
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H105 | zenon_intro zenon_H135 ].
% 83.75/83.92 apply (zenon_L63_); trivial.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_He2 | zenon_intro zenon_H136 ].
% 83.75/83.92 apply (zenon_L54_); trivial.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H10f ].
% 83.75/83.92 apply (zenon_L58_); trivial.
% 83.75/83.92 apply (zenon_L884_); trivial.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_He5 | zenon_intro zenon_H10e ].
% 83.75/83.92 apply (zenon_L591_); trivial.
% 83.75/83.92 apply (zenon_L880_); trivial.
% 83.75/83.92 apply (zenon_L885_); trivial.
% 83.75/83.92 apply (zenon_L882_); trivial.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.75/83.92 apply (zenon_L886_); trivial.
% 83.75/83.92 apply (zenon_L878_); trivial.
% 83.75/83.92 (* end of lemma zenon_L887_ *)
% 83.75/83.92 assert (zenon_L888_ : ((~((op2 (e23) (op2 (e23) (e20))) = (e20)))/\(((op2 (op2 (e23) (e20)) (e23)) = (e20))/\(~((op2 (op2 (e23) (e20)) (e20)) = (e23))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e21) = (e22))) -> (~((e20) = (e23))) -> (~((e21) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e20)) = (e22))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e20) = (e22))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.75/83.92 do 0 intro. intros zenon_H647 zenon_Hce zenon_H15b zenon_Ha8 zenon_H21e zenon_Hd6 zenon_Hb2 zenon_H15c zenon_Had zenon_H509 zenon_H118 zenon_H13e zenon_H640 zenon_H112 zenon_H11b zenon_H141 zenon_Hc3 zenon_Ha3 zenon_H133 zenon_H48b zenon_H14f zenon_H48d zenon_H73 zenon_H91 zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a.
% 83.75/83.92 apply (zenon_and_s _ _ zenon_H647). zenon_intro zenon_H636. zenon_intro zenon_H648.
% 83.75/83.92 apply (zenon_and_s _ _ zenon_H648). zenon_intro zenon_H63b. zenon_intro zenon_H649.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H63 | zenon_intro zenon_Hcf ].
% 83.75/83.92 apply (zenon_L887_); trivial.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H74 | zenon_intro zenon_Hd0 ].
% 83.75/83.92 apply (zenon_L32_); trivial.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H92 | zenon_intro zenon_H95 ].
% 83.75/83.92 apply (zenon_L34_); trivial.
% 83.75/83.92 apply (zenon_L36_); trivial.
% 83.75/83.92 (* end of lemma zenon_L888_ *)
% 83.75/83.92 assert (zenon_L889_ : ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((op2 (e23) (e21)) = (e20)) -> (~((op2 (op2 (e23) (e21)) (e21)) = (e23))) -> False).
% 83.75/83.92 do 0 intro. intros zenon_H5d zenon_H7a zenon_H11e zenon_H64a.
% 83.75/83.92 elim (classic ((e23) = (e23))); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hd8 ].
% 83.75/83.92 cut (((e23) = (e23)) = ((op2 (op2 (e23) (e21)) (e21)) = (e23))).
% 83.75/83.92 intro zenon_D_pnotp.
% 83.75/83.92 apply zenon_H64a.
% 83.75/83.92 rewrite <- zenon_D_pnotp.
% 83.75/83.92 exact zenon_Hd7.
% 83.75/83.92 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_Hd8].
% 83.75/83.92 cut (((e23) = (op2 (op2 (e23) (e21)) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H64b].
% 83.75/83.92 congruence.
% 83.75/83.92 cut (((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) = ((e23) = (op2 (op2 (e23) (e21)) (e21)))).
% 83.75/83.92 intro zenon_D_pnotp.
% 83.75/83.92 apply zenon_H64b.
% 83.75/83.92 rewrite <- zenon_D_pnotp.
% 83.75/83.92 exact zenon_H5d.
% 83.75/83.92 cut (((op2 (e20) (op2 (e20) (op2 (e20) (e20)))) = (op2 (op2 (e23) (e21)) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H64c].
% 83.75/83.92 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_Hd8].
% 83.75/83.92 congruence.
% 83.75/83.92 apply zenon_Hd8. apply refl_equal.
% 83.75/83.92 cut (((op2 (e20) (op2 (e20) (e20))) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H88].
% 83.75/83.92 cut (((e20) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H53e].
% 83.75/83.92 congruence.
% 83.75/83.92 apply zenon_H53e. apply sym_equal. exact zenon_H11e.
% 83.75/83.92 apply zenon_H88. apply sym_equal. exact zenon_H7a.
% 83.75/83.92 apply zenon_Hd8. apply refl_equal.
% 83.75/83.92 apply zenon_Hd8. apply refl_equal.
% 83.75/83.92 (* end of lemma zenon_L889_ *)
% 83.75/83.92 assert (zenon_L890_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e20) = (e21))) -> ((op2 (e23) (e20)) = (e21)) -> (~((op2 (op2 (e23) (e21)) (e21)) = (e23))) -> ((op2 (e21) (e22)) = (e20)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.75/83.92 do 0 intro. intros zenon_H134 zenon_Had zenon_H10c zenon_H64a zenon_H120 zenon_H11f zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H10b | zenon_intro zenon_H137 ].
% 83.75/83.92 apply (zenon_L64_); trivial.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H11e | zenon_intro zenon_H138 ].
% 83.75/83.92 apply (zenon_L889_); trivial.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H121 | zenon_intro zenon_H95 ].
% 83.75/83.92 apply (zenon_L70_); trivial.
% 83.75/83.92 apply (zenon_L36_); trivial.
% 83.75/83.92 (* end of lemma zenon_L890_ *)
% 83.75/83.92 assert (zenon_L891_ : (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (op2 (e23) (e21)) (e21)) = (e23))) -> ((op2 (e23) (e20)) = (e21)) -> (~((e20) = (e21))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((op2 (e22) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (e20)) = (e23)) -> False).
% 83.75/83.92 do 0 intro. intros zenon_H12c zenon_H8a zenon_H5d zenon_H82 zenon_H7c zenon_H94 zenon_H8e zenon_H11f zenon_H64a zenon_H10c zenon_Had zenon_H134 zenon_H124 zenon_H78 zenon_H7a zenon_Hf9 zenon_Hf7 zenon_H129 zenon_Hd5.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H120 | zenon_intro zenon_H12d ].
% 83.75/83.92 apply (zenon_L890_); trivial.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H123 | zenon_intro zenon_H12e ].
% 83.75/83.92 apply (zenon_L71_); trivial.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H12a ].
% 83.75/83.92 apply (zenon_L59_); trivial.
% 83.75/83.92 apply (zenon_L72_); trivial.
% 83.75/83.92 (* end of lemma zenon_L891_ *)
% 83.75/83.92 assert (zenon_L892_ : (~((op2 (e23) (op2 (e23) (e21))) = (e21))) -> ((op2 (e23) (e21)) = (e21)) -> False).
% 83.75/83.92 do 0 intro. intros zenon_H64d zenon_H10e.
% 83.75/83.92 cut (((op2 (e23) (e21)) = (e21)) = ((op2 (e23) (op2 (e23) (e21))) = (e21))).
% 83.75/83.92 intro zenon_D_pnotp.
% 83.75/83.92 apply zenon_H64d.
% 83.75/83.92 rewrite <- zenon_D_pnotp.
% 83.75/83.92 exact zenon_H10e.
% 83.75/83.92 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Haf].
% 83.75/83.92 cut (((op2 (e23) (e21)) = (op2 (e23) (op2 (e23) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H5f6].
% 83.75/83.92 congruence.
% 83.75/83.92 elim (classic ((op2 (e23) (op2 (e23) (e21))) = (op2 (e23) (op2 (e23) (e21))))); [ zenon_intro zenon_H64e | zenon_intro zenon_H64f ].
% 83.75/83.92 cut (((op2 (e23) (op2 (e23) (e21))) = (op2 (e23) (op2 (e23) (e21)))) = ((op2 (e23) (e21)) = (op2 (e23) (op2 (e23) (e21))))).
% 83.75/83.92 intro zenon_D_pnotp.
% 83.75/83.92 apply zenon_H5f6.
% 83.75/83.92 rewrite <- zenon_D_pnotp.
% 83.75/83.92 exact zenon_H64e.
% 83.75/83.92 cut (((op2 (e23) (op2 (e23) (e21))) = (op2 (e23) (op2 (e23) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H64f].
% 83.75/83.92 cut (((op2 (e23) (op2 (e23) (e21))) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H650].
% 83.75/83.92 congruence.
% 83.75/83.92 cut (((op2 (e23) (e21)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H5a4].
% 83.75/83.92 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_Hd8].
% 83.75/83.92 congruence.
% 83.75/83.92 apply zenon_Hd8. apply refl_equal.
% 83.75/83.92 exact (zenon_H5a4 zenon_H10e).
% 83.75/83.92 apply zenon_H64f. apply refl_equal.
% 83.75/83.92 apply zenon_H64f. apply refl_equal.
% 83.75/83.92 apply zenon_Haf. apply refl_equal.
% 83.75/83.92 (* end of lemma zenon_L892_ *)
% 83.75/83.92 assert (zenon_L893_ : (~((op2 (e22) (e23)) = (op2 (op2 (e23) (e21)) (e23)))) -> ((op2 (e23) (e21)) = (e22)) -> False).
% 83.75/83.92 do 0 intro. intros zenon_H651 zenon_H10f.
% 83.75/83.92 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_Hd8].
% 83.75/83.92 cut (((e22) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H652].
% 83.75/83.92 congruence.
% 83.75/83.92 apply zenon_H652. apply sym_equal. exact zenon_H10f.
% 83.75/83.92 apply zenon_Hd8. apply refl_equal.
% 83.75/83.92 (* end of lemma zenon_L893_ *)
% 83.75/83.92 assert (zenon_L894_ : (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (op2 (e23) (e21)) (e23)) = (e21)) -> ((op2 (e23) (e21)) = (e22)) -> ((op2 (e23) (e23)) = (e21)) -> False).
% 83.75/83.92 do 0 intro. intros zenon_H653 zenon_H654 zenon_H10f zenon_H119.
% 83.75/83.92 cut (((op2 (op2 (e23) (e21)) (e23)) = (e21)) = ((op2 (e22) (e23)) = (op2 (e23) (e23)))).
% 83.75/83.92 intro zenon_D_pnotp.
% 83.75/83.92 apply zenon_H653.
% 83.75/83.92 rewrite <- zenon_D_pnotp.
% 83.75/83.92 exact zenon_H654.
% 83.75/83.92 cut (((e21) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H11a].
% 83.75/83.92 cut (((op2 (op2 (e23) (e21)) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H655].
% 83.75/83.92 congruence.
% 83.75/83.92 elim (classic ((op2 (e22) (e23)) = (op2 (e22) (e23)))); [ zenon_intro zenon_H4df | zenon_intro zenon_H4e0 ].
% 83.75/83.92 cut (((op2 (e22) (e23)) = (op2 (e22) (e23))) = ((op2 (op2 (e23) (e21)) (e23)) = (op2 (e22) (e23)))).
% 83.75/83.92 intro zenon_D_pnotp.
% 83.75/83.92 apply zenon_H655.
% 83.75/83.92 rewrite <- zenon_D_pnotp.
% 83.75/83.92 exact zenon_H4df.
% 83.75/83.92 cut (((op2 (e22) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H4e0].
% 83.75/83.92 cut (((op2 (e22) (e23)) = (op2 (op2 (e23) (e21)) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H651].
% 83.75/83.92 congruence.
% 83.75/83.92 apply (zenon_L893_); trivial.
% 83.75/83.92 apply zenon_H4e0. apply refl_equal.
% 83.75/83.92 apply zenon_H4e0. apply refl_equal.
% 83.75/83.92 apply zenon_H11a. apply sym_equal. exact zenon_H119.
% 83.75/83.92 (* end of lemma zenon_L894_ *)
% 83.75/83.92 assert (zenon_L895_ : (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e22) (e21)) = (e20)) -> (~((op2 (e23) (op2 (e23) (e21))) = (e21))) -> ((op2 (e23) (e23)) = (e21)) -> ((op2 (op2 (e23) (e21)) (e23)) = (e21)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> False).
% 83.75/83.92 do 0 intro. intros zenon_H515 zenon_H49b zenon_He4 zenon_H64d zenon_H119 zenon_H654 zenon_H653 zenon_H5d zenon_H7a zenon_H511.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H515); [ zenon_intro zenon_H11e | zenon_intro zenon_H516 ].
% 83.75/83.92 apply (zenon_L745_); trivial.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H516); [ zenon_intro zenon_H10e | zenon_intro zenon_H517 ].
% 83.75/83.92 apply (zenon_L892_); trivial.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H517); [ zenon_intro zenon_H10f | zenon_intro zenon_H510 ].
% 83.75/83.92 apply (zenon_L894_); trivial.
% 83.75/83.92 apply (zenon_L601_); trivial.
% 83.75/83.92 (* end of lemma zenon_L895_ *)
% 83.75/83.92 assert (zenon_L896_ : (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> ((op2 (e21) (e20)) = (e23)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e22)) = (e22)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e20) = (e21))) -> (~((op2 (op2 (e23) (e21)) (e21)) = (e23))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e22) (e21)) = (e20)) -> (~((op2 (e23) (op2 (e23) (e21))) = (e21))) -> ((op2 (op2 (e23) (e21)) (e23)) = (e21)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> False).
% 83.75/83.92 do 0 intro. intros zenon_H11b zenon_Hd5 zenon_H129 zenon_Hf7 zenon_Hf9 zenon_H124 zenon_H134 zenon_Had zenon_H64a zenon_H11f zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H8a zenon_H12c zenon_H112 zenon_H78 zenon_H515 zenon_H49b zenon_He4 zenon_H64d zenon_H654 zenon_H653 zenon_H5d zenon_H7a zenon_H511.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10c | zenon_intro zenon_H11c ].
% 83.75/83.92 apply (zenon_L891_); trivial.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H10e | zenon_intro zenon_H11d ].
% 83.75/83.92 apply (zenon_L892_); trivial.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H111 | zenon_intro zenon_H119 ].
% 83.75/83.92 apply (zenon_L66_); trivial.
% 83.75/83.92 apply (zenon_L895_); trivial.
% 83.75/83.92 (* end of lemma zenon_L896_ *)
% 83.75/83.92 assert (zenon_L897_ : ((op2 (op2 (e23) (e21)) (e23)) = (e21)) -> ((op2 (e23) (e21)) = (e22)) -> ((op2 (e21) (e23)) = (e21)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> False).
% 83.75/83.92 do 0 intro. intros zenon_H654 zenon_H10f zenon_H13c zenon_H12f.
% 83.75/83.92 elim (classic ((op2 (e22) (e23)) = (op2 (e22) (e23)))); [ zenon_intro zenon_H4df | zenon_intro zenon_H4e0 ].
% 83.75/83.92 cut (((op2 (e22) (e23)) = (op2 (e22) (e23))) = ((op2 (e21) (e23)) = (op2 (e22) (e23)))).
% 83.75/83.92 intro zenon_D_pnotp.
% 83.75/83.92 apply zenon_H12f.
% 83.75/83.92 rewrite <- zenon_D_pnotp.
% 83.75/83.92 exact zenon_H4df.
% 83.75/83.92 cut (((op2 (e22) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H4e0].
% 83.75/83.92 cut (((op2 (e22) (e23)) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H656].
% 83.75/83.92 congruence.
% 83.75/83.92 cut (((op2 (op2 (e23) (e21)) (e23)) = (e21)) = ((op2 (e22) (e23)) = (op2 (e21) (e23)))).
% 83.75/83.92 intro zenon_D_pnotp.
% 83.75/83.92 apply zenon_H656.
% 83.75/83.92 rewrite <- zenon_D_pnotp.
% 83.75/83.92 exact zenon_H654.
% 83.75/83.92 cut (((e21) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H570].
% 83.75/83.92 cut (((op2 (op2 (e23) (e21)) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H655].
% 83.75/83.92 congruence.
% 83.75/83.92 elim (classic ((op2 (e22) (e23)) = (op2 (e22) (e23)))); [ zenon_intro zenon_H4df | zenon_intro zenon_H4e0 ].
% 83.75/83.92 cut (((op2 (e22) (e23)) = (op2 (e22) (e23))) = ((op2 (op2 (e23) (e21)) (e23)) = (op2 (e22) (e23)))).
% 83.75/83.92 intro zenon_D_pnotp.
% 83.75/83.92 apply zenon_H655.
% 83.75/83.92 rewrite <- zenon_D_pnotp.
% 83.75/83.92 exact zenon_H4df.
% 83.75/83.92 cut (((op2 (e22) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H4e0].
% 83.75/83.92 cut (((op2 (e22) (e23)) = (op2 (op2 (e23) (e21)) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H651].
% 83.75/83.92 congruence.
% 83.75/83.92 apply (zenon_L893_); trivial.
% 83.75/83.92 apply zenon_H4e0. apply refl_equal.
% 83.75/83.92 apply zenon_H4e0. apply refl_equal.
% 83.75/83.92 apply zenon_H570. apply sym_equal. exact zenon_H13c.
% 83.75/83.92 apply zenon_H4e0. apply refl_equal.
% 83.75/83.92 apply zenon_H4e0. apply refl_equal.
% 83.75/83.92 (* end of lemma zenon_L897_ *)
% 83.75/83.92 assert (zenon_L898_ : (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e23) (e21)) = (e22)) -> (~((e21) = (e22))) -> ((op2 (e22) (e23)) = (e22)) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e22) (e21)) = (e20)) -> (~((op2 (e23) (op2 (e23) (e21))) = (e21))) -> ((op2 (op2 (e23) (e21)) (e23)) = (e21)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> False).
% 83.75/83.92 do 0 intro. intros zenon_H657 zenon_H7c zenon_H78 zenon_H12f zenon_H10f zenon_Ha8 zenon_Hfd zenon_H515 zenon_H49b zenon_He4 zenon_H64d zenon_H654 zenon_H653 zenon_H5d zenon_H7a zenon_H511.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H657); [ zenon_intro zenon_H7b | zenon_intro zenon_H658 ].
% 83.75/83.92 apply (zenon_L28_); trivial.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H658); [ zenon_intro zenon_H13c | zenon_intro zenon_H659 ].
% 83.75/83.92 apply (zenon_L897_); trivial.
% 83.75/83.92 apply (zenon_or_s _ _ zenon_H659); [ zenon_intro zenon_Hfc | zenon_intro zenon_H119 ].
% 83.75/83.92 apply (zenon_L60_); trivial.
% 83.75/83.92 apply (zenon_L895_); trivial.
% 83.75/83.92 (* end of lemma zenon_L898_ *)
% 83.75/83.92 assert (zenon_L899_ : (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (op2 (e23) (e21)) (e21)) = (e23))) -> (~((e20) = (e21))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (e20)) = (e23)) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e23) (e21)) = (e22)) -> (~((e21) = (e22))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e22) (e21)) = (e20)) -> (~((op2 (e23) (op2 (e23) (e21))) = (e21))) -> ((op2 (op2 (e23) (e21)) (e23)) = (e21)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> False).
% 83.75/83.93 do 0 intro. intros zenon_Hff zenon_Hef zenon_Ha3 zenon_H112 zenon_H12c zenon_H8a zenon_H82 zenon_H94 zenon_H8e zenon_H11f zenon_H64a zenon_Had zenon_H134 zenon_H124 zenon_Hf7 zenon_H129 zenon_Hd5 zenon_H11b zenon_H657 zenon_H7c zenon_H78 zenon_H12f zenon_H10f zenon_Ha8 zenon_H515 zenon_H49b zenon_He4 zenon_H64d zenon_H654 zenon_H653 zenon_H5d zenon_H7a zenon_H511.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Hee | zenon_intro zenon_H100 ].
% 83.75/83.93 apply (zenon_L57_); trivial.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H101 ].
% 83.75/83.93 apply (zenon_L58_); trivial.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_Hf9 | zenon_intro zenon_Hfd ].
% 83.75/83.93 apply (zenon_L896_); trivial.
% 83.75/83.93 apply (zenon_L898_); trivial.
% 83.75/83.93 (* end of lemma zenon_L899_ *)
% 83.75/83.93 assert (zenon_L900_ : (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (op2 (e23) (e21)) (e21)) = (e23))) -> (~((op2 (e23) (op2 (e23) (e21))) = (e21))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (e23)) = (e21)) -> ((op2 (op2 (e23) (e21)) (e23)) = (e21)) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> False).
% 83.75/83.93 do 0 intro. intros zenon_H515 zenon_H64a zenon_H64d zenon_H12f zenon_H13c zenon_H654 zenon_H5d zenon_H7a zenon_H511.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H515); [ zenon_intro zenon_H11e | zenon_intro zenon_H516 ].
% 83.75/83.93 apply (zenon_L889_); trivial.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H516); [ zenon_intro zenon_H10e | zenon_intro zenon_H517 ].
% 83.75/83.93 apply (zenon_L892_); trivial.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H517); [ zenon_intro zenon_H10f | zenon_intro zenon_H510 ].
% 83.75/83.93 apply (zenon_L897_); trivial.
% 83.75/83.93 apply (zenon_L601_); trivial.
% 83.75/83.93 (* end of lemma zenon_L900_ *)
% 83.75/83.93 assert (zenon_L901_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e21) = (e23))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e22) (e21)) = (e20)) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> ((op2 (e21) (e20)) = (e23)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e20) = (e21))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (op2 (e23) (e21)) (e21)) = (e23))) -> (~((op2 (e23) (op2 (e23) (e21))) = (e21))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (op2 (e23) (e21)) (e23)) = (e21)) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> False).
% 83.75/83.93 do 0 intro. intros zenon_H140 zenon_Hd6 zenon_H653 zenon_He4 zenon_H49b zenon_Ha8 zenon_H7c zenon_H657 zenon_H11b zenon_Hd5 zenon_H129 zenon_Hf7 zenon_H134 zenon_Had zenon_H11f zenon_H8e zenon_H94 zenon_H82 zenon_H8a zenon_H12c zenon_H112 zenon_Ha3 zenon_Hef zenon_Hff zenon_Hb2 zenon_H133 zenon_H124 zenon_H78 zenon_H515 zenon_H64a zenon_H64d zenon_H12f zenon_H654 zenon_H5d zenon_H7a zenon_H511.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ].
% 83.75/83.93 apply (zenon_L52_); trivial.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ].
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H105 | zenon_intro zenon_H135 ].
% 83.75/83.93 apply (zenon_L63_); trivial.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_He2 | zenon_intro zenon_H136 ].
% 83.75/83.93 apply (zenon_L54_); trivial.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H10f ].
% 83.75/83.93 apply (zenon_L58_); trivial.
% 83.75/83.93 apply (zenon_L899_); trivial.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ].
% 83.75/83.93 apply (zenon_L71_); trivial.
% 83.75/83.93 apply (zenon_L900_); trivial.
% 83.75/83.93 (* end of lemma zenon_L901_ *)
% 83.75/83.93 assert (zenon_L902_ : (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> ((e22) = (op2 (e20) (e20))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e20) = (e21))) -> ((op2 (e21) (e21)) = (e20)) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (op2 (e23) (e21))) = (e21))) -> False).
% 83.75/83.93 do 0 intro. intros zenon_H141 zenon_H78 zenon_H7a zenon_Hc3 zenon_Had zenon_Hd2 zenon_Hbb zenon_H48b zenon_H64d.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H139 | zenon_intro zenon_H147 ].
% 83.75/83.93 apply (zenon_L76_); trivial.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_He1 | zenon_intro zenon_H148 ].
% 83.75/83.93 apply (zenon_L536_); trivial.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_He5 | zenon_intro zenon_H10e ].
% 83.75/83.93 apply (zenon_L591_); trivial.
% 83.75/83.93 apply (zenon_L892_); trivial.
% 83.75/83.93 (* end of lemma zenon_L902_ *)
% 83.75/83.93 assert (zenon_L903_ : (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e23) (e20)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e22) (e21)) = (e20)) -> (~((op2 (e23) (op2 (e23) (e21))) = (e21))) -> ((op2 (op2 (e23) (e21)) (e23)) = (e21)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> False).
% 83.75/83.93 do 0 intro. intros zenon_H11b zenon_Hd6 zenon_H159 zenon_H112 zenon_H78 zenon_H515 zenon_H49b zenon_He4 zenon_H64d zenon_H654 zenon_H653 zenon_H5d zenon_H7a zenon_H511.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10c | zenon_intro zenon_H11c ].
% 83.75/83.93 apply (zenon_L88_); trivial.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H10e | zenon_intro zenon_H11d ].
% 83.75/83.93 apply (zenon_L892_); trivial.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H111 | zenon_intro zenon_H119 ].
% 83.75/83.93 apply (zenon_L66_); trivial.
% 83.75/83.93 apply (zenon_L895_); trivial.
% 83.75/83.93 (* end of lemma zenon_L903_ *)
% 83.75/83.93 assert (zenon_L904_ : (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e22) (e20)) = (e21)) -> (~((e20) = (e21))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (op2 (e23) (e21)) (e23)) = (e21)) -> (~((op2 (e23) (op2 (e23) (e21))) = (e21))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e20)) = (e23)) -> (~((e21) = (e23))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (op2 (e23) (e21)) (e21)) = (e23))) -> False).
% 83.75/83.93 do 0 intro. intros zenon_H14f zenon_H8a zenon_H82 zenon_H7c zenon_H94 zenon_H8e zenon_H91 zenon_H73 zenon_Hce zenon_H48b zenon_Hbb zenon_Had zenon_Hc3 zenon_H141 zenon_H511 zenon_H653 zenon_H654 zenon_H64d zenon_H49b zenon_H515 zenon_H78 zenon_H112 zenon_H159 zenon_Hd6 zenon_H11b zenon_H5d zenon_H7a zenon_H64a.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ].
% 83.75/83.93 apply (zenon_L49_); trivial.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ].
% 83.75/83.93 apply (zenon_L902_); trivial.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ].
% 83.75/83.93 apply (zenon_L903_); trivial.
% 83.75/83.93 apply (zenon_L889_); trivial.
% 83.75/83.93 (* end of lemma zenon_L904_ *)
% 83.75/83.93 assert (zenon_L905_ : (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e21) = (e22))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e21) (e20)) = (e20)) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e22) (e20)) = (e21)) -> (~((e20) = (e21))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (op2 (e23) (e21)) (e23)) = (e21)) -> (~((op2 (e23) (op2 (e23) (e21))) = (e21))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((e21) = (e23))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (op2 (e23) (e21)) (e21)) = (e23))) -> False).
% 83.75/83.93 do 0 intro. intros zenon_H15c zenon_H140 zenon_Ha8 zenon_H657 zenon_H129 zenon_Hf7 zenon_H134 zenon_H11f zenon_H12c zenon_Ha3 zenon_Hef zenon_Hff zenon_Hb2 zenon_H133 zenon_H124 zenon_H12f zenon_Hd1 zenon_Hab zenon_H14f zenon_H8a zenon_H82 zenon_H7c zenon_H94 zenon_H8e zenon_H91 zenon_H73 zenon_Hce zenon_H48b zenon_Hbb zenon_Had zenon_Hc3 zenon_H141 zenon_H511 zenon_H653 zenon_H654 zenon_H64d zenon_H49b zenon_H515 zenon_H78 zenon_H112 zenon_Hd6 zenon_H11b zenon_H5d zenon_H7a zenon_H64a.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ].
% 83.75/83.93 apply (zenon_L43_); trivial.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ].
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ].
% 83.75/83.93 apply (zenon_L49_); trivial.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ].
% 83.75/83.93 apply (zenon_L50_); trivial.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ].
% 83.75/83.93 apply (zenon_L901_); trivial.
% 83.75/83.93 apply (zenon_L889_); trivial.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ].
% 83.75/83.93 apply (zenon_L83_); trivial.
% 83.75/83.93 apply (zenon_L904_); trivial.
% 83.75/83.93 (* end of lemma zenon_L905_ *)
% 83.75/83.93 assert (zenon_L906_ : ((op2 (op2 (e23) (e21)) (e23)) = (e21)) -> ((op2 (e23) (e21)) = (e22)) -> ((op2 (e22) (e21)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> False).
% 83.75/83.93 do 0 intro. intros zenon_H654 zenon_H10f zenon_He5 zenon_H579.
% 83.75/83.93 elim (classic ((op2 (e22) (e23)) = (op2 (e22) (e23)))); [ zenon_intro zenon_H4df | zenon_intro zenon_H4e0 ].
% 83.75/83.93 cut (((op2 (e22) (e23)) = (op2 (e22) (e23))) = ((op2 (e22) (e21)) = (op2 (e22) (e23)))).
% 83.75/83.93 intro zenon_D_pnotp.
% 83.75/83.93 apply zenon_H579.
% 83.75/83.93 rewrite <- zenon_D_pnotp.
% 83.75/83.93 exact zenon_H4df.
% 83.75/83.93 cut (((op2 (e22) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H4e0].
% 83.75/83.93 cut (((op2 (e22) (e23)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H65a].
% 83.75/83.93 congruence.
% 83.75/83.93 cut (((op2 (op2 (e23) (e21)) (e23)) = (e21)) = ((op2 (e22) (e23)) = (op2 (e22) (e21)))).
% 83.75/83.93 intro zenon_D_pnotp.
% 83.75/83.93 apply zenon_H65a.
% 83.75/83.93 rewrite <- zenon_D_pnotp.
% 83.75/83.93 exact zenon_H654.
% 83.75/83.93 cut (((e21) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H4a0].
% 83.75/83.93 cut (((op2 (op2 (e23) (e21)) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H655].
% 83.75/83.93 congruence.
% 83.75/83.93 elim (classic ((op2 (e22) (e23)) = (op2 (e22) (e23)))); [ zenon_intro zenon_H4df | zenon_intro zenon_H4e0 ].
% 83.75/83.93 cut (((op2 (e22) (e23)) = (op2 (e22) (e23))) = ((op2 (op2 (e23) (e21)) (e23)) = (op2 (e22) (e23)))).
% 83.75/83.93 intro zenon_D_pnotp.
% 83.75/83.93 apply zenon_H655.
% 83.75/83.93 rewrite <- zenon_D_pnotp.
% 83.75/83.93 exact zenon_H4df.
% 83.75/83.93 cut (((op2 (e22) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H4e0].
% 83.75/83.93 cut (((op2 (e22) (e23)) = (op2 (op2 (e23) (e21)) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H651].
% 83.75/83.93 congruence.
% 83.75/83.93 apply (zenon_L893_); trivial.
% 83.75/83.93 apply zenon_H4e0. apply refl_equal.
% 83.75/83.93 apply zenon_H4e0. apply refl_equal.
% 83.75/83.93 apply zenon_H4a0. apply sym_equal. exact zenon_He5.
% 83.75/83.93 apply zenon_H4e0. apply refl_equal.
% 83.75/83.93 apply zenon_H4e0. apply refl_equal.
% 83.75/83.93 (* end of lemma zenon_L906_ *)
% 83.75/83.93 assert (zenon_L907_ : (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (op2 (e23) (e21)) (e21)) = (e23))) -> (~((op2 (e23) (op2 (e23) (e21))) = (e21))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e21)) = (e21)) -> ((op2 (op2 (e23) (e21)) (e23)) = (e21)) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> False).
% 83.75/83.93 do 0 intro. intros zenon_H515 zenon_H64a zenon_H64d zenon_H579 zenon_He5 zenon_H654 zenon_H5d zenon_H7a zenon_H511.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H515); [ zenon_intro zenon_H11e | zenon_intro zenon_H516 ].
% 83.75/83.93 apply (zenon_L889_); trivial.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H516); [ zenon_intro zenon_H10e | zenon_intro zenon_H517 ].
% 83.75/83.93 apply (zenon_L892_); trivial.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H517); [ zenon_intro zenon_H10f | zenon_intro zenon_H510 ].
% 83.75/83.93 apply (zenon_L906_); trivial.
% 83.75/83.93 apply (zenon_L601_); trivial.
% 83.75/83.93 (* end of lemma zenon_L907_ *)
% 83.75/83.93 assert (zenon_L908_ : (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e20) = (e21))) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((op2 (op2 (e23) (e21)) (e23)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (op2 (e23) (e21))) = (e21))) -> (~((op2 (op2 (e23) (e21)) (e21)) = (e23))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e20)) = (e21)) -> False).
% 83.75/83.93 do 0 intro. intros zenon_H141 zenon_H78 zenon_Hc3 zenon_Had zenon_Hd2 zenon_H511 zenon_H7a zenon_H5d zenon_H654 zenon_H579 zenon_H64d zenon_H64a zenon_H515 zenon_H13e zenon_H10c.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H139 | zenon_intro zenon_H147 ].
% 83.75/83.93 apply (zenon_L76_); trivial.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_He1 | zenon_intro zenon_H148 ].
% 83.75/83.93 apply (zenon_L536_); trivial.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_He5 | zenon_intro zenon_H10e ].
% 83.75/83.93 apply (zenon_L907_); trivial.
% 83.75/83.93 apply (zenon_L517_); trivial.
% 83.75/83.93 (* end of lemma zenon_L908_ *)
% 83.75/83.93 assert (zenon_L909_ : (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (e20)) = (e23)) -> (~((e20) = (e22))) -> ((op2 (e23) (e20)) = (e21)) -> (~((e20) = (e21))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e23) (e21)) = (e22)) -> (~((e21) = (e22))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e22) (e21)) = (e20)) -> (~((op2 (e23) (op2 (e23) (e21))) = (e21))) -> ((op2 (op2 (e23) (e21)) (e23)) = (e21)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> False).
% 83.75/83.93 do 0 intro. intros zenon_Hff zenon_Hef zenon_H8a zenon_H82 zenon_H94 zenon_H8e zenon_H12c zenon_H11f zenon_H124 zenon_Hf7 zenon_H129 zenon_Hd5 zenon_Ha3 zenon_H10c zenon_Had zenon_H134 zenon_H657 zenon_H7c zenon_H78 zenon_H12f zenon_H10f zenon_Ha8 zenon_H515 zenon_H49b zenon_He4 zenon_H64d zenon_H654 zenon_H653 zenon_H5d zenon_H7a zenon_H511.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Hee | zenon_intro zenon_H100 ].
% 83.75/83.93 apply (zenon_L57_); trivial.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H101 ].
% 83.75/83.93 apply (zenon_L58_); trivial.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_Hf9 | zenon_intro zenon_Hfd ].
% 83.75/83.93 apply (zenon_L527_); trivial.
% 83.75/83.93 apply (zenon_L898_); trivial.
% 83.75/83.93 (* end of lemma zenon_L909_ *)
% 83.75/83.93 assert (zenon_L910_ : (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((op2 (op2 (e23) (e21)) (e23)) = (e21)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (op2 (e23) (e21))) = (e21))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (e20)) = (e23)) -> (~((e20) = (e22))) -> ((op2 (e23) (e20)) = (e21)) -> (~((e20) = (e21))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((e21) = (e22))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e20)) = (e20)) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (op2 (e23) (e21)) (e21)) = (e23))) -> False).
% 83.75/83.93 do 0 intro. intros zenon_H14f zenon_H91 zenon_H73 zenon_Hce zenon_H13e zenon_H579 zenon_Hc3 zenon_H141 zenon_H511 zenon_H654 zenon_H12f zenon_H64d zenon_H515 zenon_H78 zenon_H124 zenon_H133 zenon_Hb2 zenon_Hff zenon_Hef zenon_H8a zenon_H82 zenon_H94 zenon_H8e zenon_H12c zenon_H11f zenon_Hf7 zenon_H129 zenon_Hd5 zenon_Ha3 zenon_H10c zenon_Had zenon_H134 zenon_H657 zenon_H7c zenon_Ha8 zenon_H49b zenon_H653 zenon_Hab zenon_H140 zenon_H5d zenon_H7a zenon_H64a.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ].
% 83.75/83.93 apply (zenon_L49_); trivial.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ].
% 83.75/83.93 apply (zenon_L908_); trivial.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ].
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ].
% 83.75/83.93 apply (zenon_L42_); trivial.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ].
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H105 | zenon_intro zenon_H135 ].
% 83.75/83.93 apply (zenon_L63_); trivial.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_He2 | zenon_intro zenon_H136 ].
% 83.75/83.93 apply (zenon_L54_); trivial.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H10f ].
% 83.75/83.93 apply (zenon_L58_); trivial.
% 83.75/83.93 apply (zenon_L909_); trivial.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ].
% 83.75/83.93 apply (zenon_L71_); trivial.
% 83.75/83.93 apply (zenon_L900_); trivial.
% 83.75/83.93 apply (zenon_L889_); trivial.
% 83.75/83.93 (* end of lemma zenon_L910_ *)
% 83.75/83.93 assert (zenon_L911_ : (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((op2 (e21) (e21)) = (e21)) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e22) (e20)) = (e23)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (op2 (e23) (e21)) (e23)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((e20) = (e22))) -> ((op2 (e22) (e21)) = (e20)) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e22) (op2 (e20) (e20))) = (e22))) -> (~((e21) = (e22))) -> False).
% 83.75/83.93 do 0 intro. intros zenon_H133 zenon_Hb2 zenon_He1 zenon_H102 zenon_Hd6 zenon_H152 zenon_H579 zenon_H654 zenon_He8 zenon_H7a zenon_Hff zenon_Hef zenon_Ha3 zenon_He4 zenon_H78 zenon_H155 zenon_Ha8.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H105 | zenon_intro zenon_H135 ].
% 83.75/83.93 apply (zenon_L63_); trivial.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_He2 | zenon_intro zenon_H136 ].
% 83.75/83.93 apply (zenon_L54_); trivial.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H10f ].
% 83.75/83.93 apply (zenon_L58_); trivial.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hbb | zenon_intro zenon_H103 ].
% 83.75/83.93 apply (zenon_L83_); trivial.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_He5 | zenon_intro zenon_H104 ].
% 83.75/83.93 apply (zenon_L906_); trivial.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_He7 | zenon_intro zenon_Hfc ].
% 83.75/83.93 apply (zenon_L56_); trivial.
% 83.75/83.93 apply (zenon_L86_); trivial.
% 83.75/83.93 (* end of lemma zenon_L911_ *)
% 83.75/83.93 assert (zenon_L912_ : (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e22) (e21)) = (e20)) -> ((op2 (e23) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (e23)) = (e21)) -> ((op2 (op2 (e23) (e21)) (e23)) = (e21)) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> False).
% 83.75/83.93 do 0 intro. intros zenon_H515 zenon_H49b zenon_He4 zenon_H10c zenon_H13e zenon_H12f zenon_H13c zenon_H654 zenon_H5d zenon_H7a zenon_H511.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H515); [ zenon_intro zenon_H11e | zenon_intro zenon_H516 ].
% 83.75/83.93 apply (zenon_L745_); trivial.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H516); [ zenon_intro zenon_H10e | zenon_intro zenon_H517 ].
% 83.75/83.93 apply (zenon_L517_); trivial.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H517); [ zenon_intro zenon_H10f | zenon_intro zenon_H510 ].
% 83.75/83.93 apply (zenon_L897_); trivial.
% 83.75/83.93 apply (zenon_L601_); trivial.
% 83.75/83.93 (* end of lemma zenon_L912_ *)
% 83.75/83.93 assert (zenon_L913_ : (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e20) = (e21))) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((op2 (op2 (e23) (e21)) (e23)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (op2 (e23) (e21)) (e21)) = (e23))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (op2 (e23) (e21))) = (e21))) -> False).
% 83.75/83.93 do 0 intro. intros zenon_H141 zenon_H78 zenon_Hc3 zenon_Had zenon_Hd2 zenon_H511 zenon_H7a zenon_H5d zenon_H654 zenon_H579 zenon_H64a zenon_H515 zenon_H64d.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H139 | zenon_intro zenon_H147 ].
% 83.75/83.93 apply (zenon_L76_); trivial.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_He1 | zenon_intro zenon_H148 ].
% 83.75/83.93 apply (zenon_L536_); trivial.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_He5 | zenon_intro zenon_H10e ].
% 83.75/83.93 apply (zenon_L907_); trivial.
% 83.75/83.93 apply (zenon_L892_); trivial.
% 83.75/83.93 (* end of lemma zenon_L913_ *)
% 83.75/83.93 assert (zenon_L914_ : (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (op2 (e23) (e21))) = (e21))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (op2 (e23) (e21)) (e23)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (op2 (e23) (e21)) (e21)) = (e23))) -> False).
% 83.75/83.93 do 0 intro. intros zenon_H14f zenon_H8a zenon_H82 zenon_H7c zenon_H94 zenon_H8e zenon_H91 zenon_H73 zenon_Hce zenon_H64d zenon_H515 zenon_H579 zenon_H654 zenon_H511 zenon_Had zenon_Hc3 zenon_H78 zenon_H141 zenon_H21d zenon_H48b zenon_H5d zenon_H7a zenon_H64a.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ].
% 83.75/83.93 apply (zenon_L49_); trivial.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ].
% 83.75/83.93 apply (zenon_L913_); trivial.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ].
% 83.75/83.93 apply (zenon_L542_); trivial.
% 83.75/83.93 apply (zenon_L889_); trivial.
% 83.75/83.93 (* end of lemma zenon_L914_ *)
% 83.75/83.93 assert (zenon_L915_ : (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> ((op2 (e23) (e20)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (op2 (e23) (e21))) = (e21))) -> ((op2 (op2 (e23) (e21)) (e23)) = (e21)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> False).
% 83.75/83.93 do 0 intro. intros zenon_H11b zenon_Had zenon_H112 zenon_H78 zenon_H515 zenon_H10b zenon_H13e zenon_H64d zenon_H654 zenon_H653 zenon_H5d zenon_H7a zenon_H511.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10c | zenon_intro zenon_H11c ].
% 83.75/83.93 apply (zenon_L64_); trivial.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H10e | zenon_intro zenon_H11d ].
% 83.75/83.93 apply (zenon_L892_); trivial.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H111 | zenon_intro zenon_H119 ].
% 83.75/83.93 apply (zenon_L66_); trivial.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H515); [ zenon_intro zenon_H11e | zenon_intro zenon_H516 ].
% 83.75/83.93 apply (zenon_L648_); trivial.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H516); [ zenon_intro zenon_H10e | zenon_intro zenon_H517 ].
% 83.75/83.93 apply (zenon_L892_); trivial.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H517); [ zenon_intro zenon_H10f | zenon_intro zenon_H510 ].
% 83.75/83.93 apply (zenon_L894_); trivial.
% 83.75/83.93 apply (zenon_L601_); trivial.
% 83.75/83.93 (* end of lemma zenon_L915_ *)
% 83.75/83.93 assert (zenon_L916_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> ((op2 (e22) (e20)) = (op2 (e20) (e22))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e21) = (e22))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e21) (e20)) = (e20)) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (op2 (e23) (e21)) (e23)) = (e21)) -> (~((op2 (e23) (op2 (e23) (e21))) = (e21))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((e21) = (e23))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((op2 (op2 (e23) (e21)) (e21)) = (e23))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> False).
% 83.75/83.93 do 0 intro. intros zenon_H45f zenon_H45b zenon_Hbc zenon_H15c zenon_H140 zenon_Ha8 zenon_H657 zenon_H129 zenon_Hf7 zenon_H134 zenon_H11f zenon_H12c zenon_Ha3 zenon_Hef zenon_Hff zenon_Hb2 zenon_H133 zenon_H124 zenon_H12f zenon_Hd1 zenon_Hab zenon_H14f zenon_H8a zenon_H82 zenon_H94 zenon_H8e zenon_H91 zenon_H73 zenon_Hce zenon_H48b zenon_Had zenon_Hc3 zenon_H141 zenon_H511 zenon_H653 zenon_H654 zenon_H64d zenon_H49b zenon_H515 zenon_H112 zenon_Hd6 zenon_H11b zenon_H5d zenon_H64a zenon_H15b zenon_H7a zenon_H78 zenon_H7c.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H45f); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H460 ].
% 83.75/83.93 apply (zenon_L41_); trivial.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H460); [ zenon_intro zenon_H139 | zenon_intro zenon_H461 ].
% 83.75/83.93 apply (zenon_L76_); trivial.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H461); [ zenon_intro zenon_H45a | zenon_intro zenon_H7b ].
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.75/83.93 apply (zenon_L41_); trivial.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.75/83.93 apply (zenon_L42_); trivial.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.75/83.93 apply (zenon_L905_); trivial.
% 83.75/83.93 apply (zenon_L510_); trivial.
% 83.75/83.93 apply (zenon_L28_); trivial.
% 83.75/83.93 (* end of lemma zenon_L916_ *)
% 83.75/83.93 assert (zenon_L917_ : (((op2 (e23) (e20)) = (op2 (e20) (e23)))/\((~((op2 (e20) (op2 (e20) (e23))) = (e20)))/\((~((op2 (e21) (op2 (e20) (e23))) = (e21)))/\((~((op2 (e22) (op2 (e20) (e23))) = (e22)))/\(~((op2 (e23) (op2 (e20) (e23))) = (e23))))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (op2 (e23) (e21)) (e23)) = (e21)) -> (~((op2 (e23) (op2 (e23) (e21))) = (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((e20) = (e21))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (op2 (e23) (e21)) (e21)) = (e23))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.75/83.93 do 0 intro. intros zenon_H5c1 zenon_H134 zenon_H511 zenon_H653 zenon_H654 zenon_H64d zenon_H13e zenon_H515 zenon_H112 zenon_Had zenon_H11b zenon_H64a zenon_H91 zenon_H73 zenon_H462 zenon_Hce zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a.
% 83.75/83.93 apply (zenon_and_s _ _ zenon_H5c1). zenon_intro zenon_H463. zenon_intro zenon_H5c2.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H10b | zenon_intro zenon_H137 ].
% 83.75/83.93 apply (zenon_L915_); trivial.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H11e | zenon_intro zenon_H138 ].
% 83.75/83.93 apply (zenon_L889_); trivial.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H121 | zenon_intro zenon_H95 ].
% 83.75/83.93 apply (zenon_L513_); trivial.
% 83.75/83.93 apply (zenon_L36_); trivial.
% 83.75/83.93 (* end of lemma zenon_L917_ *)
% 83.75/83.93 assert (zenon_L918_ : (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (op2 (e23) (e21))) = (e21))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (op2 (e23) (e21)) (e23)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> ((op2 (e20) (e21)) = (op2 (e21) (e20))) -> ((op2 (e21) (e20)) = (e20)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (op2 (e23) (e21)) (e21)) = (e23))) -> False).
% 83.75/83.93 do 0 intro. intros zenon_H14f zenon_H8a zenon_H82 zenon_H7c zenon_H94 zenon_H8e zenon_H91 zenon_H73 zenon_Hce zenon_H64d zenon_H515 zenon_H579 zenon_H654 zenon_H511 zenon_Had zenon_Hc3 zenon_H78 zenon_H141 zenon_H467 zenon_Hab zenon_H466 zenon_H5d zenon_H7a zenon_H64a.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ].
% 83.75/83.93 apply (zenon_L49_); trivial.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ].
% 83.75/83.93 apply (zenon_L913_); trivial.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ].
% 83.75/83.93 apply (zenon_L521_); trivial.
% 83.75/83.93 apply (zenon_L889_); trivial.
% 83.75/83.93 (* end of lemma zenon_L918_ *)
% 83.75/83.93 assert (zenon_L919_ : (((op2 (e20) (e21)) = (op2 (e21) (e20)))/\((~((op2 (e20) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e20))) = (e21)))/\((~((op2 (e22) (op2 (e21) (e20))) = (e22)))/\(~((op2 (e23) (op2 (e21) (e20))) = (e23))))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (op2 (e23) (e21)) (e21)) = (e23))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (op2 (e23) (e21))) = (e21))) -> ((op2 (op2 (e23) (e21)) (e23)) = (e21)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> False).
% 83.75/83.93 do 0 intro. intros zenon_H5c4 zenon_H48d zenon_Ha3 zenon_H466 zenon_H64a zenon_H48b zenon_H141 zenon_Hc3 zenon_H579 zenon_Hce zenon_H73 zenon_H91 zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H8a zenon_H14f zenon_H11b zenon_Had zenon_H112 zenon_H78 zenon_H515 zenon_H13e zenon_H64d zenon_H654 zenon_H653 zenon_H5d zenon_H7a zenon_H511.
% 83.75/83.93 apply (zenon_and_s _ _ zenon_H5c4). zenon_intro zenon_H467. zenon_intro zenon_H5c5.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.75/83.93 apply (zenon_L40_); trivial.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.75/83.93 apply (zenon_L918_); trivial.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.75/83.93 apply (zenon_L914_); trivial.
% 83.75/83.93 apply (zenon_L915_); trivial.
% 83.75/83.93 (* end of lemma zenon_L919_ *)
% 83.75/83.93 assert (zenon_L920_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e20) = (e21))) -> ((op2 (e21) (e20)) = (e20)) -> (~((op2 (e21) (op2 (e21) (e21))) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e22) (e21)) = (e20)) -> ((op2 (e23) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (op2 (e23) (e21)) (e23)) = (e21)) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> False).
% 83.75/83.93 do 0 intro. intros zenon_H140 zenon_Had zenon_Hab zenon_H46d zenon_H124 zenon_H78 zenon_H515 zenon_H49b zenon_He4 zenon_H10c zenon_H13e zenon_H12f zenon_H654 zenon_H5d zenon_H7a zenon_H511.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ].
% 83.75/83.93 apply (zenon_L42_); trivial.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ].
% 83.75/83.93 apply (zenon_L524_); trivial.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ].
% 83.75/83.93 apply (zenon_L71_); trivial.
% 83.75/83.93 apply (zenon_L912_); trivial.
% 83.75/83.93 (* end of lemma zenon_L920_ *)
% 83.75/83.93 assert (zenon_L921_ : (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (op2 (e23) (e21))) = (e21))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((op2 (op2 (e23) (e21)) (e23)) = (e21)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e20)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (op2 (e21) (e21))) = (e21))) -> ((op2 (e21) (e20)) = (e20)) -> (~((e20) = (e21))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (op2 (e23) (e21)) (e21)) = (e23))) -> False).
% 83.75/83.93 do 0 intro. intros zenon_H14f zenon_H8a zenon_H82 zenon_H7c zenon_H94 zenon_H8e zenon_H91 zenon_H73 zenon_Hce zenon_H64d zenon_H579 zenon_Hc3 zenon_H141 zenon_H511 zenon_H654 zenon_H12f zenon_H13e zenon_H10c zenon_H49b zenon_H515 zenon_H78 zenon_H124 zenon_H46d zenon_Hab zenon_Had zenon_H140 zenon_H5d zenon_H7a zenon_H64a.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ].
% 83.75/83.93 apply (zenon_L49_); trivial.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ].
% 83.75/83.93 apply (zenon_L908_); trivial.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ].
% 83.75/83.93 apply (zenon_L920_); trivial.
% 83.75/83.93 apply (zenon_L889_); trivial.
% 83.75/83.93 (* end of lemma zenon_L921_ *)
% 83.75/83.93 assert (zenon_L922_ : (~((op2 (op2 (e23) (e21)) (e21)) = (e23))) -> ((op2 (e22) (e21)) = (op2 (e21) (e22))) -> ((op2 (e23) (e21)) = (e22)) -> ((op2 (e21) (e22)) = (e23)) -> False).
% 83.75/83.93 do 0 intro. intros zenon_H64a zenon_H485 zenon_H10f zenon_H12a.
% 83.75/83.93 cut (((op2 (e22) (e21)) = (op2 (e21) (e22))) = ((op2 (op2 (e23) (e21)) (e21)) = (e23))).
% 83.75/83.93 intro zenon_D_pnotp.
% 83.75/83.93 apply zenon_H64a.
% 83.75/83.93 rewrite <- zenon_D_pnotp.
% 83.75/83.93 exact zenon_H485.
% 83.75/83.93 cut (((op2 (e21) (e22)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H479].
% 83.75/83.93 cut (((op2 (e22) (e21)) = (op2 (op2 (e23) (e21)) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H65b].
% 83.75/83.93 congruence.
% 83.75/83.93 elim (classic ((op2 (op2 (e23) (e21)) (e21)) = (op2 (op2 (e23) (e21)) (e21)))); [ zenon_intro zenon_H65c | zenon_intro zenon_H65d ].
% 83.75/83.93 cut (((op2 (op2 (e23) (e21)) (e21)) = (op2 (op2 (e23) (e21)) (e21))) = ((op2 (e22) (e21)) = (op2 (op2 (e23) (e21)) (e21)))).
% 83.75/83.93 intro zenon_D_pnotp.
% 83.75/83.93 apply zenon_H65b.
% 83.75/83.93 rewrite <- zenon_D_pnotp.
% 83.75/83.93 exact zenon_H65c.
% 83.75/83.93 cut (((op2 (op2 (e23) (e21)) (e21)) = (op2 (op2 (e23) (e21)) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H65d].
% 83.75/83.93 cut (((op2 (op2 (e23) (e21)) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H65e].
% 83.75/83.93 congruence.
% 83.75/83.93 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Haf].
% 83.75/83.93 cut (((op2 (e23) (e21)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H110].
% 83.75/83.93 congruence.
% 83.75/83.93 exact (zenon_H110 zenon_H10f).
% 83.75/83.93 apply zenon_Haf. apply refl_equal.
% 83.75/83.93 apply zenon_H65d. apply refl_equal.
% 83.75/83.93 apply zenon_H65d. apply refl_equal.
% 83.75/83.93 exact (zenon_H479 zenon_H12a).
% 83.75/83.93 (* end of lemma zenon_L922_ *)
% 83.75/83.93 assert (zenon_L923_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((op2 (e21) (e20)) = (e20)) -> (~((e21) = (e22))) -> (~((op2 (e22) (op2 (e21) (e23))) = (e22))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e20)) = (e23)) -> (~((e21) = (e23))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((e20) = (e21))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e22) (e21)) = (e20)) -> ((op2 (e23) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (op2 (e23) (e21)) (e23)) = (e21)) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> False).
% 83.75/83.93 do 0 intro. intros zenon_H140 zenon_Hab zenon_Ha8 zenon_H497 zenon_Ha3 zenon_Hef zenon_Hff zenon_He8 zenon_H579 zenon_H152 zenon_Hd6 zenon_H102 zenon_Hb2 zenon_H133 zenon_Had zenon_Hf7 zenon_Hdc zenon_H142 zenon_H124 zenon_H78 zenon_H515 zenon_H49b zenon_He4 zenon_H10c zenon_H13e zenon_H12f zenon_H654 zenon_H5d zenon_H7a zenon_H511.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ].
% 83.75/83.93 apply (zenon_L42_); trivial.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ].
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 83.75/83.93 apply (zenon_L53_); trivial.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_He2 | zenon_intro zenon_H146 ].
% 83.75/83.93 apply (zenon_L54_); trivial.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H130 ].
% 83.75/83.93 apply (zenon_L516_); trivial.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H105 | zenon_intro zenon_H135 ].
% 83.75/83.93 apply (zenon_L63_); trivial.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_He2 | zenon_intro zenon_H136 ].
% 83.75/83.93 apply (zenon_L54_); trivial.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H10f ].
% 83.75/83.93 apply (zenon_L58_); trivial.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hbb | zenon_intro zenon_H103 ].
% 83.75/83.93 apply (zenon_L83_); trivial.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_He5 | zenon_intro zenon_H104 ].
% 83.75/83.93 apply (zenon_L906_); trivial.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_He7 | zenon_intro zenon_Hfc ].
% 83.75/83.93 apply (zenon_L56_); trivial.
% 83.75/83.93 apply (zenon_L547_); trivial.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ].
% 83.75/83.93 apply (zenon_L71_); trivial.
% 83.75/83.93 apply (zenon_L912_); trivial.
% 83.75/83.93 (* end of lemma zenon_L923_ *)
% 83.75/83.93 assert (zenon_L924_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((op2 (e21) (e20)) = (e20)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e22)) = (op2 (e22) (e21))) -> (~((e20) = (e22))) -> (~((e20) = (e21))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e22) (e21)) = (e20)) -> ((op2 (e23) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (op2 (e23) (e21)) (e23)) = (e21)) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> False).
% 83.75/83.93 do 0 intro. intros zenon_H140 zenon_Hab zenon_H8a zenon_H82 zenon_H7c zenon_H94 zenon_H8e zenon_H11f zenon_H4b9 zenon_Ha3 zenon_Had zenon_H134 zenon_Ha8 zenon_Hb2 zenon_H133 zenon_H124 zenon_H78 zenon_H515 zenon_H49b zenon_He4 zenon_H10c zenon_H13e zenon_H12f zenon_H654 zenon_H5d zenon_H7a zenon_H511.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ].
% 83.75/83.93 apply (zenon_L42_); trivial.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ].
% 83.75/83.93 apply (zenon_L560_); trivial.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ].
% 83.75/83.93 apply (zenon_L71_); trivial.
% 83.75/83.93 apply (zenon_L912_); trivial.
% 83.75/83.93 (* end of lemma zenon_L924_ *)
% 83.75/83.93 assert (zenon_L925_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e20) = (e21))) -> ((op2 (e21) (e20)) = (e20)) -> (~((e21) = (e22))) -> (~((op2 (e22) (op2 (e22) (e22))) = (e22))) -> ((op2 (e22) (e21)) = (e20)) -> (~((e20) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e20)) = (e23)) -> (~((e21) = (e23))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (op2 (e23) (e21)) (e21)) = (e23))) -> (~((op2 (e23) (op2 (e23) (e21))) = (e21))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (op2 (e23) (e21)) (e23)) = (e21)) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> False).
% 83.75/83.93 do 0 intro. intros zenon_H140 zenon_Had zenon_Hab zenon_Ha8 zenon_H4c7 zenon_He4 zenon_Ha3 zenon_Hef zenon_Hff zenon_He8 zenon_H579 zenon_H152 zenon_Hd6 zenon_H102 zenon_Hb2 zenon_H133 zenon_H124 zenon_H78 zenon_H515 zenon_H64a zenon_H64d zenon_H12f zenon_H654 zenon_H5d zenon_H7a zenon_H511.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ].
% 83.75/83.93 apply (zenon_L42_); trivial.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ].
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H105 | zenon_intro zenon_H135 ].
% 83.75/83.93 apply (zenon_L63_); trivial.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_He2 | zenon_intro zenon_H136 ].
% 83.75/83.93 apply (zenon_L54_); trivial.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H10f ].
% 83.75/83.93 apply (zenon_L58_); trivial.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hbb | zenon_intro zenon_H103 ].
% 83.75/83.93 apply (zenon_L83_); trivial.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_He5 | zenon_intro zenon_H104 ].
% 83.75/83.93 apply (zenon_L906_); trivial.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_He7 | zenon_intro zenon_Hfc ].
% 83.75/83.93 apply (zenon_L56_); trivial.
% 83.75/83.93 apply (zenon_L567_); trivial.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ].
% 83.75/83.93 apply (zenon_L71_); trivial.
% 83.75/83.93 apply (zenon_L900_); trivial.
% 83.75/83.93 (* end of lemma zenon_L925_ *)
% 83.75/83.93 assert (zenon_L926_ : (~((op2 (e23) (op2 (e23) (e21))) = (e21))) -> ((op2 (e23) (e22)) = (op2 (e22) (e23))) -> ((op2 (e23) (e21)) = (e22)) -> ((op2 (e22) (e23)) = (e21)) -> False).
% 83.75/83.93 do 0 intro. intros zenon_H64d zenon_H4de zenon_H10f zenon_Hfc.
% 83.75/83.93 cut (((op2 (e23) (e22)) = (op2 (e22) (e23))) = ((op2 (e23) (op2 (e23) (e21))) = (e21))).
% 83.75/83.93 intro zenon_D_pnotp.
% 83.75/83.93 apply zenon_H64d.
% 83.75/83.93 rewrite <- zenon_D_pnotp.
% 83.75/83.93 exact zenon_H4de.
% 83.75/83.93 cut (((op2 (e22) (e23)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H624].
% 83.75/83.93 cut (((op2 (e23) (e22)) = (op2 (e23) (op2 (e23) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H65f].
% 83.75/83.93 congruence.
% 83.75/83.93 elim (classic ((op2 (e23) (op2 (e23) (e21))) = (op2 (e23) (op2 (e23) (e21))))); [ zenon_intro zenon_H64e | zenon_intro zenon_H64f ].
% 83.75/83.93 cut (((op2 (e23) (op2 (e23) (e21))) = (op2 (e23) (op2 (e23) (e21)))) = ((op2 (e23) (e22)) = (op2 (e23) (op2 (e23) (e21))))).
% 83.75/83.93 intro zenon_D_pnotp.
% 83.75/83.93 apply zenon_H65f.
% 83.75/83.93 rewrite <- zenon_D_pnotp.
% 83.75/83.93 exact zenon_H64e.
% 83.75/83.93 cut (((op2 (e23) (op2 (e23) (e21))) = (op2 (e23) (op2 (e23) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H64f].
% 83.75/83.93 cut (((op2 (e23) (op2 (e23) (e21))) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H660].
% 83.75/83.93 congruence.
% 83.75/83.93 cut (((op2 (e23) (e21)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H110].
% 83.75/83.93 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_Hd8].
% 83.75/83.93 congruence.
% 83.75/83.93 apply zenon_Hd8. apply refl_equal.
% 83.75/83.93 exact (zenon_H110 zenon_H10f).
% 83.75/83.93 apply zenon_H64f. apply refl_equal.
% 83.75/83.93 apply zenon_H64f. apply refl_equal.
% 83.75/83.93 exact (zenon_H624 zenon_Hfc).
% 83.75/83.93 (* end of lemma zenon_L926_ *)
% 83.75/83.93 assert (zenon_L927_ : (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (op2 (e23) (e21)) (e21)) = (e23))) -> ((op2 (e23) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e22) (e23)) = (e21)) -> ((op2 (e23) (e22)) = (op2 (e22) (e23))) -> (~((op2 (e23) (op2 (e23) (e21))) = (e21))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> False).
% 83.75/83.93 do 0 intro. intros zenon_H515 zenon_H64a zenon_H10c zenon_H13e zenon_Hfc zenon_H4de zenon_H64d zenon_H5d zenon_H7a zenon_H511.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H515); [ zenon_intro zenon_H11e | zenon_intro zenon_H516 ].
% 83.75/83.93 apply (zenon_L889_); trivial.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H516); [ zenon_intro zenon_H10e | zenon_intro zenon_H517 ].
% 83.75/83.93 apply (zenon_L517_); trivial.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H517); [ zenon_intro zenon_H10f | zenon_intro zenon_H510 ].
% 83.75/83.93 apply (zenon_L926_); trivial.
% 83.75/83.93 apply (zenon_L601_); trivial.
% 83.75/83.93 (* end of lemma zenon_L927_ *)
% 83.75/83.93 assert (zenon_L928_ : (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((op2 (op2 (e23) (e21)) (e23)) = (e21)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e21)) = (e20)) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((op2 (e23) (op2 (e23) (e21))) = (e21))) -> ((op2 (e23) (e22)) = (op2 (e22) (e23))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (op2 (e23) (e21)) (e21)) = (e23))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e20)) = (e21)) -> False).
% 83.75/83.93 do 0 intro. intros zenon_H657 zenon_H7c zenon_H78 zenon_H654 zenon_H12f zenon_He4 zenon_H49b zenon_H511 zenon_H7a zenon_H5d zenon_H64d zenon_H4de zenon_H13e zenon_H64a zenon_H515 zenon_H118 zenon_H10c.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H657); [ zenon_intro zenon_H7b | zenon_intro zenon_H658 ].
% 83.75/83.93 apply (zenon_L28_); trivial.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H658); [ zenon_intro zenon_H13c | zenon_intro zenon_H659 ].
% 83.75/83.93 apply (zenon_L912_); trivial.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H659); [ zenon_intro zenon_Hfc | zenon_intro zenon_H119 ].
% 83.75/83.93 apply (zenon_L927_); trivial.
% 83.75/83.93 apply (zenon_L883_); trivial.
% 83.75/83.93 (* end of lemma zenon_L928_ *)
% 83.75/83.93 assert (zenon_L929_ : (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((op2 (e20) (e23)) = (e20)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> ((op2 (e23) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e22)) = (op2 (e22) (e23))) -> (~((op2 (e23) (op2 (e23) (e21))) = (e21))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (op2 (e23) (e21)) (e23)) = (e21)) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (op2 (e23) (e21)) (e21)) = (e23))) -> False).
% 83.75/83.93 do 0 intro. intros zenon_H14f zenon_H8a zenon_H63 zenon_H579 zenon_Had zenon_Hc3 zenon_H141 zenon_H10c zenon_H118 zenon_H515 zenon_H13e zenon_H4de zenon_H64d zenon_H511 zenon_H49b zenon_H12f zenon_H654 zenon_H78 zenon_H7c zenon_H657 zenon_H5d zenon_H7a zenon_H64a.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ].
% 83.75/83.93 apply (zenon_L48_); trivial.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ].
% 83.75/83.93 apply (zenon_L908_); trivial.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ].
% 83.75/83.93 apply (zenon_L928_); trivial.
% 83.75/83.93 apply (zenon_L889_); trivial.
% 83.75/83.93 (* end of lemma zenon_L929_ *)
% 83.75/83.93 assert (zenon_L930_ : (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (op2 (e23) (e21)) (e21)) = (e23))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e23) (e22)) = (op2 (e22) (e23))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e23)) = (e20)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e22) (e21)) = (e20)) -> (~((op2 (e23) (op2 (e23) (e21))) = (e21))) -> ((op2 (op2 (e23) (e21)) (e23)) = (e21)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> False).
% 83.75/83.93 do 0 intro. intros zenon_H11b zenon_H64a zenon_H657 zenon_H7c zenon_H12f zenon_H4de zenon_H13e zenon_H118 zenon_H141 zenon_Hc3 zenon_Had zenon_H579 zenon_H63 zenon_H8a zenon_H14f zenon_H112 zenon_H78 zenon_H515 zenon_H49b zenon_He4 zenon_H64d zenon_H654 zenon_H653 zenon_H5d zenon_H7a zenon_H511.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10c | zenon_intro zenon_H11c ].
% 83.75/83.93 apply (zenon_L929_); trivial.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H10e | zenon_intro zenon_H11d ].
% 83.75/83.93 apply (zenon_L892_); trivial.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H111 | zenon_intro zenon_H119 ].
% 83.75/83.93 apply (zenon_L66_); trivial.
% 83.75/83.93 apply (zenon_L895_); trivial.
% 83.75/83.93 (* end of lemma zenon_L930_ *)
% 83.75/83.93 assert (zenon_L931_ : (((op2 (e23) (e22)) = (op2 (e22) (e23)))/\((~((op2 (e20) (op2 (e22) (e23))) = (e20)))/\((~((op2 (e21) (op2 (e22) (e23))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e23))) = (e22)))/\(~((op2 (e23) (op2 (e22) (e23))) = (e23))))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (op2 (e23) (e21))) = (e21))) -> ((op2 (op2 (e23) (e21)) (e23)) = (e21)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (op2 (e23) (e21)) (e21)) = (e23))) -> False).
% 83.75/83.93 do 0 intro. intros zenon_H4e4 zenon_H8a zenon_H78 zenon_H82 zenon_H7c zenon_H94 zenon_H8e zenon_H91 zenon_H73 zenon_H11b zenon_H657 zenon_H12f zenon_H13e zenon_H118 zenon_H141 zenon_Hc3 zenon_Had zenon_H579 zenon_H14f zenon_H112 zenon_H515 zenon_H49b zenon_H64d zenon_H654 zenon_H653 zenon_H511 zenon_Hce zenon_H5d zenon_H7a zenon_H64a.
% 83.75/83.93 apply (zenon_and_s _ _ zenon_H4e4). zenon_intro zenon_H4de. zenon_intro zenon_H4e5.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ].
% 83.75/83.93 apply (zenon_L49_); trivial.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ].
% 83.75/83.93 apply (zenon_L913_); trivial.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ].
% 83.75/83.93 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H63 | zenon_intro zenon_Hcf ].
% 83.75/83.93 apply (zenon_L930_); trivial.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H74 | zenon_intro zenon_Hd0 ].
% 83.75/83.93 apply (zenon_L32_); trivial.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H92 | zenon_intro zenon_H95 ].
% 83.75/83.93 apply (zenon_L34_); trivial.
% 83.75/83.93 apply (zenon_L36_); trivial.
% 83.75/83.93 apply (zenon_L889_); trivial.
% 83.75/83.93 (* end of lemma zenon_L931_ *)
% 83.75/83.93 assert (zenon_L932_ : (((op2 (e20) (e23)) = (op2 (e23) (e20)))/\((~((op2 (e20) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e23) (e20))) = (e21)))/\((~((op2 (e22) (op2 (e23) (e20))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e20))) = (e23))))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (op2 (e23) (e21)) (e23)) = (e21)) -> (~((op2 (e23) (op2 (e23) (e21))) = (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((e20) = (e21))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (op2 (e23) (e21)) (e21)) = (e23))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.75/83.93 do 0 intro. intros zenon_H4e7 zenon_H134 zenon_H511 zenon_H653 zenon_H654 zenon_H64d zenon_H13e zenon_H515 zenon_H112 zenon_Had zenon_H11b zenon_H64a zenon_H91 zenon_H73 zenon_H462 zenon_Hce zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a.
% 83.75/83.93 apply (zenon_and_s _ _ zenon_H4e7). zenon_intro zenon_H4e6. zenon_intro zenon_H4e8.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H10b | zenon_intro zenon_H137 ].
% 83.75/83.93 apply (zenon_L915_); trivial.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H11e | zenon_intro zenon_H138 ].
% 83.75/83.93 apply (zenon_L889_); trivial.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H121 | zenon_intro zenon_H95 ].
% 83.75/83.93 apply (zenon_L577_); trivial.
% 83.75/83.93 apply (zenon_L36_); trivial.
% 83.75/83.93 (* end of lemma zenon_L932_ *)
% 83.75/83.93 assert (zenon_L933_ : (~((e21) = (e22))) -> (~((op2 (e22) (op2 (e23) (e21))) = (e22))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e21) (e20)) = (e20)) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (op2 (e23) (e21))) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((e21) = (e23))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (op2 (e23) (e21)) (e21)) = (e23))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e22) (e21)) = (e20)) -> ((op2 (e23) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (op2 (e23) (e21)) (e23)) = (e21)) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> False).
% 83.75/83.93 do 0 intro. intros zenon_Ha8 zenon_H4eb zenon_Ha3 zenon_Hef zenon_Hff zenon_He8 zenon_H579 zenon_H15c zenon_H140 zenon_H657 zenon_H129 zenon_Hf7 zenon_H134 zenon_H11f zenon_H12c zenon_Hb2 zenon_H133 zenon_Hd1 zenon_Hab zenon_H14f zenon_H8a zenon_H82 zenon_H7c zenon_H94 zenon_H8e zenon_H91 zenon_H73 zenon_Hce zenon_H48b zenon_Had zenon_Hc3 zenon_H141 zenon_H653 zenon_H64d zenon_H112 zenon_Hd6 zenon_H11b zenon_H64a zenon_H102 zenon_H124 zenon_H78 zenon_H515 zenon_H49b zenon_He4 zenon_H10c zenon_H13e zenon_H12f zenon_H654 zenon_H5d zenon_H7a zenon_H511.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ].
% 83.75/83.93 apply (zenon_L42_); trivial.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ].
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H105 | zenon_intro zenon_H135 ].
% 83.75/83.93 apply (zenon_L63_); trivial.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_He2 | zenon_intro zenon_H136 ].
% 83.75/83.93 apply (zenon_L54_); trivial.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H10f ].
% 83.75/83.93 apply (zenon_L58_); trivial.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hbb | zenon_intro zenon_H103 ].
% 83.75/83.93 apply (zenon_L905_); trivial.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_He5 | zenon_intro zenon_H104 ].
% 83.75/83.93 apply (zenon_L906_); trivial.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_He7 | zenon_intro zenon_Hfc ].
% 83.75/83.93 apply (zenon_L56_); trivial.
% 83.75/83.93 apply (zenon_L583_); trivial.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ].
% 83.75/83.93 apply (zenon_L71_); trivial.
% 83.75/83.93 apply (zenon_L912_); trivial.
% 83.75/83.93 (* end of lemma zenon_L933_ *)
% 83.75/83.93 assert (zenon_L934_ : ((op2 (e22) (e23)) = (op2 (e23) (e22))) -> ((op2 (e22) (e23)) = (e21)) -> ((op2 (e23) (e21)) = (e22)) -> (~((op2 (e23) (op2 (e23) (e21))) = (e21))) -> False).
% 83.75/83.93 do 0 intro. intros zenon_H4f7 zenon_Hfc zenon_H10f zenon_H64d.
% 83.75/83.93 elim (classic ((e21) = (e21))); [ zenon_intro zenon_Hae | zenon_intro zenon_Haf ].
% 83.75/83.93 cut (((e21) = (e21)) = ((op2 (e23) (op2 (e23) (e21))) = (e21))).
% 83.75/83.93 intro zenon_D_pnotp.
% 83.75/83.93 apply zenon_H64d.
% 83.75/83.93 rewrite <- zenon_D_pnotp.
% 83.75/83.93 exact zenon_Hae.
% 83.75/83.93 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_Haf].
% 83.75/83.93 cut (((e21) = (op2 (e23) (op2 (e23) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H661].
% 83.75/83.93 congruence.
% 83.75/83.93 cut (((op2 (e22) (e23)) = (op2 (e23) (e22))) = ((e21) = (op2 (e23) (op2 (e23) (e21))))).
% 83.75/83.93 intro zenon_D_pnotp.
% 83.75/83.93 apply zenon_H661.
% 83.75/83.93 rewrite <- zenon_D_pnotp.
% 83.75/83.93 exact zenon_H4f7.
% 83.75/83.93 cut (((op2 (e23) (e22)) = (op2 (e23) (op2 (e23) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H65f].
% 83.75/83.93 cut (((op2 (e22) (e23)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H624].
% 83.75/83.93 congruence.
% 83.75/83.93 exact (zenon_H624 zenon_Hfc).
% 83.75/83.93 cut (((e22) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H652].
% 83.75/83.93 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_Hd8].
% 83.75/83.93 congruence.
% 83.75/83.93 apply zenon_Hd8. apply refl_equal.
% 83.75/83.93 apply zenon_H652. apply sym_equal. exact zenon_H10f.
% 83.75/83.93 apply zenon_Haf. apply refl_equal.
% 83.75/83.93 apply zenon_Haf. apply refl_equal.
% 83.75/83.93 (* end of lemma zenon_L934_ *)
% 83.75/83.93 assert (zenon_L935_ : (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (op2 (e23) (e21)) (e21)) = (e23))) -> ((op2 (e23) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (op2 (e23) (e21))) = (e21))) -> ((op2 (e22) (e23)) = (e21)) -> ((op2 (e22) (e23)) = (op2 (e23) (e22))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> False).
% 83.75/83.93 do 0 intro. intros zenon_H515 zenon_H64a zenon_H10c zenon_H13e zenon_H64d zenon_Hfc zenon_H4f7 zenon_H5d zenon_H7a zenon_H511.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H515); [ zenon_intro zenon_H11e | zenon_intro zenon_H516 ].
% 83.75/83.93 apply (zenon_L889_); trivial.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H516); [ zenon_intro zenon_H10e | zenon_intro zenon_H517 ].
% 83.75/83.93 apply (zenon_L517_); trivial.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H517); [ zenon_intro zenon_H10f | zenon_intro zenon_H510 ].
% 83.75/83.93 apply (zenon_L934_); trivial.
% 83.75/83.93 apply (zenon_L601_); trivial.
% 83.75/83.93 (* end of lemma zenon_L935_ *)
% 83.75/83.93 assert (zenon_L936_ : (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e23)) = (op2 (e23) (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e20)) = (e21)) -> (~((op2 (op2 (e23) (e21)) (e21)) = (e23))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e22) (e21)) = (e20)) -> (~((op2 (e23) (op2 (e23) (e21))) = (e21))) -> ((op2 (op2 (e23) (e21)) (e23)) = (e21)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> False).
% 83.75/83.93 do 0 intro. intros zenon_H657 zenon_H7c zenon_H78 zenon_H12f zenon_H4f7 zenon_H13e zenon_H10c zenon_H64a zenon_H515 zenon_H49b zenon_He4 zenon_H64d zenon_H654 zenon_H653 zenon_H5d zenon_H7a zenon_H511.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H657); [ zenon_intro zenon_H7b | zenon_intro zenon_H658 ].
% 83.75/83.93 apply (zenon_L28_); trivial.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H658); [ zenon_intro zenon_H13c | zenon_intro zenon_H659 ].
% 83.75/83.93 apply (zenon_L900_); trivial.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H659); [ zenon_intro zenon_Hfc | zenon_intro zenon_H119 ].
% 83.75/83.93 apply (zenon_L935_); trivial.
% 83.75/83.93 apply (zenon_L895_); trivial.
% 83.75/83.93 (* end of lemma zenon_L936_ *)
% 83.75/83.93 assert (zenon_L937_ : (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((op2 (e20) (e23)) = (e20)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (op2 (e23) (e21)) (e23)) = (e21)) -> (~((op2 (e23) (op2 (e23) (e21))) = (e21))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> ((op2 (e23) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e22) (e23)) = (op2 (e23) (e22))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (op2 (e23) (e21)) (e21)) = (e23))) -> False).
% 83.75/83.93 do 0 intro. intros zenon_H14f zenon_H8a zenon_H63 zenon_H579 zenon_Had zenon_Hc3 zenon_H141 zenon_H511 zenon_H653 zenon_H654 zenon_H64d zenon_H49b zenon_H515 zenon_H10c zenon_H13e zenon_H4f7 zenon_H12f zenon_H78 zenon_H7c zenon_H657 zenon_H5d zenon_H7a zenon_H64a.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ].
% 83.75/83.93 apply (zenon_L48_); trivial.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ].
% 83.75/83.93 apply (zenon_L908_); trivial.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ].
% 83.75/83.93 apply (zenon_L936_); trivial.
% 83.75/83.93 apply (zenon_L889_); trivial.
% 83.75/83.93 (* end of lemma zenon_L937_ *)
% 83.75/83.93 assert (zenon_L938_ : (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (op2 (e23) (e21)) (e21)) = (e23))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e23)) = (op2 (e23) (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e23)) = (e20)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e22) (e21)) = (e20)) -> (~((op2 (e23) (op2 (e23) (e21))) = (e21))) -> ((op2 (op2 (e23) (e21)) (e23)) = (e21)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> False).
% 83.75/83.93 do 0 intro. intros zenon_H11b zenon_H64a zenon_H657 zenon_H7c zenon_H12f zenon_H4f7 zenon_H13e zenon_H141 zenon_Hc3 zenon_Had zenon_H579 zenon_H63 zenon_H8a zenon_H14f zenon_H112 zenon_H78 zenon_H515 zenon_H49b zenon_He4 zenon_H64d zenon_H654 zenon_H653 zenon_H5d zenon_H7a zenon_H511.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H10c | zenon_intro zenon_H11c ].
% 83.75/83.93 apply (zenon_L937_); trivial.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H10e | zenon_intro zenon_H11d ].
% 83.75/83.93 apply (zenon_L892_); trivial.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H111 | zenon_intro zenon_H119 ].
% 83.75/83.93 apply (zenon_L66_); trivial.
% 83.75/83.93 apply (zenon_L895_); trivial.
% 83.75/83.93 (* end of lemma zenon_L938_ *)
% 83.75/83.93 assert (zenon_L939_ : (((op2 (e22) (e23)) = (op2 (e23) (e22)))/\((~((op2 (e20) (op2 (e23) (e22))) = (e20)))/\((~((op2 (e21) (op2 (e23) (e22))) = (e21)))/\((~((op2 (e22) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e22))) = (e23))))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (op2 (e23) (e21))) = (e21))) -> ((op2 (op2 (e23) (e21)) (e23)) = (e21)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (op2 (e23) (e21)) (e21)) = (e23))) -> False).
% 83.75/83.93 do 0 intro. intros zenon_H4f9 zenon_H8a zenon_H78 zenon_H82 zenon_H7c zenon_H94 zenon_H8e zenon_H91 zenon_H73 zenon_H11b zenon_H657 zenon_H12f zenon_H13e zenon_H141 zenon_Hc3 zenon_Had zenon_H579 zenon_H14f zenon_H112 zenon_H515 zenon_H49b zenon_H64d zenon_H654 zenon_H653 zenon_H511 zenon_Hce zenon_H5d zenon_H7a zenon_H64a.
% 83.75/83.93 apply (zenon_and_s _ _ zenon_H4f9). zenon_intro zenon_H4f7. zenon_intro zenon_H4fa.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ].
% 83.75/83.93 apply (zenon_L49_); trivial.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ].
% 83.75/83.93 apply (zenon_L913_); trivial.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ].
% 83.75/83.93 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H63 | zenon_intro zenon_Hcf ].
% 83.75/83.93 apply (zenon_L938_); trivial.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H74 | zenon_intro zenon_Hd0 ].
% 83.75/83.93 apply (zenon_L32_); trivial.
% 83.75/83.93 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H92 | zenon_intro zenon_H95 ].
% 83.75/83.93 apply (zenon_L34_); trivial.
% 83.75/83.93 apply (zenon_L36_); trivial.
% 83.75/83.93 apply (zenon_L889_); trivial.
% 83.75/83.93 (* end of lemma zenon_L939_ *)
% 83.75/83.93 assert (zenon_L940_ : (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (op2 (e23) (e21)) (e23)) = (e21)) -> (~((op2 (e23) (op2 (e23) (e21))) = (e21))) -> ((op2 (e22) (e21)) = (e20)) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> ((op2 (e21) (e23)) = (e22)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (op2 (e23) (e23))) = (e20))) -> ((op2 (e20) (e23)) = (e20)) -> False).
% 83.75/83.94 do 0 intro. intros zenon_H505 zenon_H8a zenon_H78 zenon_H82 zenon_H7c zenon_H94 zenon_H8e zenon_H511 zenon_H7a zenon_H5d zenon_H653 zenon_H654 zenon_H64d zenon_He4 zenon_H49b zenon_H515 zenon_H130 zenon_H57e zenon_H501 zenon_H63.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H505); [ zenon_intro zenon_H95 | zenon_intro zenon_H506 ].
% 83.75/83.94 apply (zenon_L36_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H506); [ zenon_intro zenon_H119 | zenon_intro zenon_H507 ].
% 83.75/83.94 apply (zenon_L895_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H507); [ zenon_intro zenon_H4fc | zenon_intro zenon_H4ff ].
% 83.75/83.94 apply (zenon_L692_); trivial.
% 83.75/83.94 apply (zenon_L595_); trivial.
% 83.75/83.94 (* end of lemma zenon_L940_ *)
% 83.75/83.94 assert (zenon_L941_ : (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (op2 (e23) (e23))) = (e20))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e22)) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e22) (e21)) = (e20)) -> (~((op2 (e23) (op2 (e23) (e21))) = (e21))) -> ((op2 (op2 (e23) (e21)) (e23)) = (e21)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.75/83.94 do 0 intro. intros zenon_Hce zenon_H501 zenon_H57e zenon_H130 zenon_H515 zenon_H49b zenon_He4 zenon_H64d zenon_H654 zenon_H653 zenon_H511 zenon_H505 zenon_H73 zenon_H91 zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H63 | zenon_intro zenon_Hcf ].
% 83.75/83.94 apply (zenon_L940_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H74 | zenon_intro zenon_Hd0 ].
% 83.75/83.94 apply (zenon_L32_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H92 | zenon_intro zenon_H95 ].
% 83.75/83.94 apply (zenon_L34_); trivial.
% 83.75/83.94 apply (zenon_L36_); trivial.
% 83.75/83.94 (* end of lemma zenon_L941_ *)
% 83.75/83.94 assert (zenon_L942_ : (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((op2 (e21) (e21)) = (e21)) -> (~((e21) = (e22))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((e20) = (e21))) -> ((op2 (e22) (e20)) = (e23)) -> (~((e21) = (e23))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (op2 (e23) (e23))) = (e20))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e22) (e21)) = (e20)) -> (~((op2 (e23) (op2 (e23) (e21))) = (e21))) -> ((op2 (op2 (e23) (e21)) (e23)) = (e21)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.75/83.94 do 0 intro. intros zenon_H142 zenon_Hdc zenon_He1 zenon_Ha8 zenon_Hf7 zenon_Ha3 zenon_Hef zenon_Hff zenon_He8 zenon_Had zenon_H152 zenon_Hd6 zenon_H102 zenon_Hce zenon_H501 zenon_H57e zenon_H515 zenon_H49b zenon_He4 zenon_H64d zenon_H654 zenon_H653 zenon_H511 zenon_H505 zenon_H73 zenon_H91 zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 83.75/83.94 apply (zenon_L53_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_He2 | zenon_intro zenon_H146 ].
% 83.75/83.94 apply (zenon_L54_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H130 ].
% 83.75/83.94 apply (zenon_L516_); trivial.
% 83.75/83.94 apply (zenon_L941_); trivial.
% 83.75/83.94 (* end of lemma zenon_L942_ *)
% 83.75/83.94 assert (zenon_L943_ : ((~((op2 (e23) (op2 (e23) (e21))) = (e21)))/\(((op2 (op2 (e23) (e21)) (e23)) = (e21))/\(~((op2 (op2 (e23) (e21)) (e21)) = (e23))))) -> ((((op2 (e20) (e20)) = (op2 (e20) (e20)))/\((~((op2 (e20) (op2 (e20) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e20) (e20))) = (e21)))/\((~((op2 (e22) (op2 (e20) (e20))) = (e22)))/\(~((op2 (e23) (op2 (e20) (e20))) = (e23)))))))\/((((op2 (e21) (e20)) = (op2 (e20) (e21)))/\((~((op2 (e20) (op2 (e20) (e21))) = (e20)))/\((~((op2 (e21) (op2 (e20) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e20) (e21))) = (e22)))/\(~((op2 (e23) (op2 (e20) (e21))) = (e23)))))))\/((((op2 (e22) (e20)) = (op2 (e20) (e22)))/\((~((op2 (e20) (op2 (e20) (e22))) = (e20)))/\((~((op2 (e21) (op2 (e20) (e22))) = (e21)))/\((~((op2 (e22) (op2 (e20) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e20) (e22))) = (e23)))))))\/((((op2 (e23) (e20)) = (op2 (e20) (e23)))/\((~((op2 (e20) (op2 (e20) (e23))) = (e20)))/\((~((op2 (e21) (op2 (e20) (e23))) = (e21)))/\((~((op2 (e22) (op2 (e20) (e23))) = (e22)))/\(~((op2 (e23) (op2 (e20) (e23))) = (e23)))))))\/((((op2 (e20) (e21)) = (op2 (e21) (e20)))/\((~((op2 (e20) (op2 (e21) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e20))) = (e21)))/\((~((op2 (e22) (op2 (e21) (e20))) = (e22)))/\(~((op2 (e23) (op2 (e21) (e20))) = (e23)))))))\/((((op2 (e21) (e21)) = (op2 (e21) (e21)))/\((~((op2 (e20) (op2 (e21) (e21))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e21) (e21))) = (e22)))/\(~((op2 (e23) (op2 (e21) (e21))) = (e23)))))))\/((((op2 (e22) (e21)) = (op2 (e21) (e22)))/\((~((op2 (e20) (op2 (e21) (e22))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e22))) = (e21)))/\((~((op2 (e22) (op2 (e21) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e21) (e22))) = (e23)))))))\/((((op2 (e23) (e21)) = (op2 (e21) (e23)))/\((~((op2 (e20) (op2 (e21) (e23))) = (e20)))/\((~((op2 (e21) (op2 (e21) (e23))) = (e21)))/\((~((op2 (e22) (op2 (e21) (e23))) = (e22)))/\(~((op2 (e23) (op2 (e21) (e23))) = (e23)))))))\/((((op2 (e20) (e22)) = (op2 (e22) (e20)))/\((~((op2 (e20) (op2 (e22) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e22) (e20))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e20))) = (e22)))/\(~((op2 (e23) (op2 (e22) (e20))) = (e23)))))))\/((((op2 (e21) (e22)) = (op2 (e22) (e21)))/\((~((op2 (e20) (op2 (e22) (e21))) = (e20)))/\((~((op2 (e21) (op2 (e22) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e21))) = (e22)))/\(~((op2 (e23) (op2 (e22) (e21))) = (e23)))))))\/((((op2 (e22) (e22)) = (op2 (e22) (e22)))/\((~((op2 (e20) (op2 (e22) (e22))) = (e20)))/\((~((op2 (e21) (op2 (e22) (e22))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e22) (e22))) = (e23)))))))\/((((op2 (e23) (e22)) = (op2 (e22) (e23)))/\((~((op2 (e20) (op2 (e22) (e23))) = (e20)))/\((~((op2 (e21) (op2 (e22) (e23))) = (e21)))/\((~((op2 (e22) (op2 (e22) (e23))) = (e22)))/\(~((op2 (e23) (op2 (e22) (e23))) = (e23)))))))\/((((op2 (e20) (e23)) = (op2 (e23) (e20)))/\((~((op2 (e20) (op2 (e23) (e20))) = (e20)))/\((~((op2 (e21) (op2 (e23) (e20))) = (e21)))/\((~((op2 (e22) (op2 (e23) (e20))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e20))) = (e23)))))))\/((((op2 (e21) (e23)) = (op2 (e23) (e21)))/\((~((op2 (e20) (op2 (e23) (e21))) = (e20)))/\((~((op2 (e21) (op2 (e23) (e21))) = (e21)))/\((~((op2 (e22) (op2 (e23) (e21))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e21))) = (e23)))))))\/((((op2 (e22) (e23)) = (op2 (e23) (e22)))/\((~((op2 (e20) (op2 (e23) (e22))) = (e20)))/\((~((op2 (e21) (op2 (e23) (e22))) = (e21)))/\((~((op2 (e22) (op2 (e23) (e22))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e22))) = (e23)))))))\/(((op2 (e23) (e23)) = (op2 (e23) (e23)))/\((~((op2 (e20) (op2 (e23) (e23))) = (e20)))/\((~((op2 (e21) (op2 (e23) (e23))) = (e21)))/\((~((op2 (e22) (op2 (e23) (e23))) = (e22)))/\(~((op2 (e23) (op2 (e23) (e23))) = (e23)))))))))))))))))))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((e22) = (e23))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((e21) = (e23))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e23)) = (e20))\/(((op2 (e23) (e23)) = (e21))\/(((op2 (e23) (e23)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> False).
% 83.75/83.94 do 0 intro. intros zenon_H662 zenon_H5b3 zenon_Hc9 zenon_H45f zenon_Hbc zenon_H466 zenon_H47f zenon_H472 zenon_H482 zenon_H118 zenon_H462 zenon_H48d zenon_Hd6 zenon_H51e zenon_H51b zenon_H12f zenon_H49b zenon_H124 zenon_H142 zenon_Hdc zenon_Ha8 zenon_Hf7 zenon_Ha3 zenon_Hef zenon_Hff zenon_He8 zenon_H102 zenon_H57e zenon_H505 zenon_H140 zenon_H133 zenon_Hb2 zenon_H12c zenon_H11f zenon_H129 zenon_H134 zenon_H657 zenon_H15c zenon_Hd1 zenon_H15b zenon_H48b zenon_H141 zenon_Hc3 zenon_H579 zenon_Hce zenon_H73 zenon_H91 zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H8a zenon_H14f zenon_H11b zenon_Had zenon_H112 zenon_H78 zenon_H515 zenon_H13e zenon_H653 zenon_H5d zenon_H7a zenon_H511.
% 83.75/83.94 apply (zenon_and_s _ _ zenon_H662). zenon_intro zenon_H64d. zenon_intro zenon_H663.
% 83.75/83.94 apply (zenon_and_s _ _ zenon_H663). zenon_intro zenon_H654. zenon_intro zenon_H64a.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H5b3); [ zenon_intro zenon_H5b6 | zenon_intro zenon_H5b5 ].
% 83.75/83.94 apply (zenon_and_s _ _ zenon_H5b6). zenon_intro zenon_Hb5. zenon_intro zenon_H5b7.
% 83.75/83.94 apply (zenon_and_s _ _ zenon_H5b7). zenon_intro zenon_H99. zenon_intro zenon_H5b8.
% 83.75/83.94 apply (zenon_and_s _ _ zenon_H5b8). zenon_intro zenon_H5ba. zenon_intro zenon_H5b9.
% 83.75/83.94 apply (zenon_and_s _ _ zenon_H5b9). zenon_intro zenon_H155. zenon_intro zenon_H5bb.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.75/83.94 apply (zenon_L40_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.75/83.94 apply (zenon_L41_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.75/83.94 apply (zenon_L42_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.75/83.94 apply (zenon_L905_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ].
% 83.75/83.94 apply (zenon_L43_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ].
% 83.75/83.94 apply (zenon_L910_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ].
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ].
% 83.75/83.94 apply (zenon_L49_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ].
% 83.75/83.94 apply (zenon_L908_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ].
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ].
% 83.75/83.94 apply (zenon_L42_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ].
% 83.75/83.94 apply (zenon_L911_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ].
% 83.75/83.94 apply (zenon_L71_); trivial.
% 83.75/83.94 apply (zenon_L912_); trivial.
% 83.75/83.94 apply (zenon_L889_); trivial.
% 83.75/83.94 apply (zenon_L88_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.75/83.94 apply (zenon_L914_); trivial.
% 83.75/83.94 apply (zenon_L915_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H5b5); [ zenon_intro zenon_H456 | zenon_intro zenon_H5bc ].
% 83.75/83.94 apply (zenon_L509_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H5bc); [ zenon_intro zenon_H5be | zenon_intro zenon_H5bd ].
% 83.75/83.94 apply (zenon_and_s _ _ zenon_H5be). zenon_intro zenon_H45b. zenon_intro zenon_H5bf.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.75/83.94 apply (zenon_L40_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.75/83.94 apply (zenon_L916_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.75/83.94 apply (zenon_L914_); trivial.
% 83.75/83.94 apply (zenon_L915_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H5bd); [ zenon_intro zenon_H5c1 | zenon_intro zenon_H5c0 ].
% 83.75/83.94 apply (zenon_L917_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H5c0); [ zenon_intro zenon_H5c4 | zenon_intro zenon_H5c3 ].
% 83.75/83.94 apply (zenon_L919_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H5c3); [ zenon_intro zenon_H5c7 | zenon_intro zenon_H5c6 ].
% 83.75/83.94 apply (zenon_and_s _ _ zenon_H5c7). zenon_intro zenon_H473. zenon_intro zenon_H5c8.
% 83.75/83.94 apply (zenon_and_s _ _ zenon_H5c8). zenon_intro zenon_H5ca. zenon_intro zenon_H5c9.
% 83.75/83.94 apply (zenon_and_s _ _ zenon_H5c9). zenon_intro zenon_H46d. zenon_intro zenon_H5cb.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.75/83.94 apply (zenon_L40_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.75/83.94 apply (zenon_L41_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.75/83.94 apply (zenon_L42_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.75/83.94 apply (zenon_L905_); trivial.
% 83.75/83.94 apply (zenon_L921_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.75/83.94 apply (zenon_L914_); trivial.
% 83.75/83.94 apply (zenon_L915_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H5c6); [ zenon_intro zenon_H48c | zenon_intro zenon_H5cc ].
% 83.75/83.94 apply (zenon_and_s _ _ zenon_H48c). zenon_intro zenon_H485. zenon_intro zenon_H48f.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.75/83.94 apply (zenon_L40_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.75/83.94 apply (zenon_L41_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.75/83.94 apply (zenon_L42_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.75/83.94 apply (zenon_L905_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ].
% 83.75/83.94 apply (zenon_L43_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ].
% 83.75/83.94 apply (zenon_L910_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ].
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ].
% 83.75/83.94 apply (zenon_L49_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ].
% 83.75/83.94 apply (zenon_L913_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ].
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ].
% 83.75/83.94 apply (zenon_L42_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ].
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 83.75/83.94 apply (zenon_L53_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_He2 | zenon_intro zenon_H146 ].
% 83.75/83.94 apply (zenon_L54_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H130 ].
% 83.75/83.94 apply (zenon_L516_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H105 | zenon_intro zenon_H135 ].
% 83.75/83.94 apply (zenon_L63_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_He2 | zenon_intro zenon_H136 ].
% 83.75/83.94 apply (zenon_L54_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H10f ].
% 83.75/83.94 apply (zenon_L58_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H482); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H483 ].
% 83.75/83.94 apply (zenon_L909_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H483); [ zenon_intro zenon_H471 | zenon_intro zenon_H484 ].
% 83.75/83.94 apply (zenon_L529_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H484); [ zenon_intro zenon_H12a | zenon_intro zenon_H47e ].
% 83.75/83.94 apply (zenon_L922_); trivial.
% 83.75/83.94 apply (zenon_L532_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ].
% 83.75/83.94 apply (zenon_L71_); trivial.
% 83.75/83.94 apply (zenon_L912_); trivial.
% 83.75/83.94 apply (zenon_L889_); trivial.
% 83.75/83.94 apply (zenon_L88_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.75/83.94 apply (zenon_L914_); trivial.
% 83.75/83.94 apply (zenon_L915_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H5cc); [ zenon_intro zenon_H4a3 | zenon_intro zenon_H5cd ].
% 83.75/83.94 apply (zenon_and_s _ _ zenon_H4a3). zenon_intro zenon_H49c. zenon_intro zenon_H4a4.
% 83.75/83.94 apply (zenon_and_s _ _ zenon_H4a4). zenon_intro zenon_H4a6. zenon_intro zenon_H4a5.
% 83.75/83.94 apply (zenon_and_s _ _ zenon_H4a5). zenon_intro zenon_H4a8. zenon_intro zenon_H4a7.
% 83.75/83.94 apply (zenon_and_s _ _ zenon_H4a7). zenon_intro zenon_H497. zenon_intro zenon_H4a9.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.75/83.94 apply (zenon_L40_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.75/83.94 apply (zenon_L41_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.75/83.94 apply (zenon_L42_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.75/83.94 apply (zenon_L905_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ].
% 83.75/83.94 apply (zenon_L43_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ].
% 83.75/83.94 apply (zenon_L910_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ].
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ].
% 83.75/83.94 apply (zenon_L49_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ].
% 83.75/83.94 apply (zenon_L908_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ].
% 83.75/83.94 apply (zenon_L923_); trivial.
% 83.75/83.94 apply (zenon_L889_); trivial.
% 83.75/83.94 apply (zenon_L88_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.75/83.94 apply (zenon_L914_); trivial.
% 83.75/83.94 apply (zenon_L915_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H5cd); [ zenon_intro zenon_H4b0 | zenon_intro zenon_H5ce ].
% 83.75/83.94 apply (zenon_and_s _ _ zenon_H4b0). zenon_intro zenon_H4af. zenon_intro zenon_H4b1.
% 83.75/83.94 apply (zenon_and_s _ _ zenon_H4b1). zenon_intro zenon_H4ab. zenon_intro zenon_H4b2.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.75/83.94 apply (zenon_L40_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.75/83.94 apply (zenon_L41_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.75/83.94 apply (zenon_L42_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.75/83.94 apply (zenon_L905_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ].
% 83.75/83.94 apply (zenon_L43_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ].
% 83.75/83.94 apply (zenon_L910_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ].
% 83.75/83.94 apply (zenon_L553_); trivial.
% 83.75/83.94 apply (zenon_L88_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.75/83.94 apply (zenon_L914_); trivial.
% 83.75/83.94 apply (zenon_L915_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H5ce); [ zenon_intro zenon_H4bf | zenon_intro zenon_H5cf ].
% 83.75/83.94 apply (zenon_and_s _ _ zenon_H4bf). zenon_intro zenon_H4b9. zenon_intro zenon_H4c0.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.75/83.94 apply (zenon_L40_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.75/83.94 apply (zenon_L41_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.75/83.94 apply (zenon_L42_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.75/83.94 apply (zenon_L905_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ].
% 83.75/83.94 apply (zenon_L49_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ].
% 83.75/83.94 apply (zenon_L908_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ].
% 83.75/83.94 apply (zenon_L924_); trivial.
% 83.75/83.94 apply (zenon_L889_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.75/83.94 apply (zenon_L914_); trivial.
% 83.75/83.94 apply (zenon_L915_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H5cf); [ zenon_intro zenon_H4d8 | zenon_intro zenon_H5d0 ].
% 83.75/83.94 apply (zenon_and_s _ _ zenon_H4d8). zenon_intro zenon_He9. zenon_intro zenon_H4d9.
% 83.75/83.94 apply (zenon_and_s _ _ zenon_H4d9). zenon_intro zenon_H4d1. zenon_intro zenon_H4da.
% 83.75/83.94 apply (zenon_and_s _ _ zenon_H4da). zenon_intro zenon_H4dc. zenon_intro zenon_H4db.
% 83.75/83.94 apply (zenon_and_s _ _ zenon_H4db). zenon_intro zenon_H4c7. zenon_intro zenon_H4dd.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.75/83.94 apply (zenon_L40_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.75/83.94 apply (zenon_L41_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.75/83.94 apply (zenon_L42_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.75/83.94 apply (zenon_L905_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ].
% 83.75/83.94 apply (zenon_L43_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ].
% 83.75/83.94 apply (zenon_L910_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ].
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ].
% 83.75/83.94 apply (zenon_L49_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ].
% 83.75/83.94 apply (zenon_L908_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ].
% 83.75/83.94 apply (zenon_L925_); trivial.
% 83.75/83.94 apply (zenon_L889_); trivial.
% 83.75/83.94 apply (zenon_L88_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.75/83.94 apply (zenon_L914_); trivial.
% 83.75/83.94 apply (zenon_L915_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H5d0); [ zenon_intro zenon_H4e4 | zenon_intro zenon_H5d1 ].
% 83.75/83.94 apply (zenon_L931_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H5d1); [ zenon_intro zenon_H4e7 | zenon_intro zenon_H5d2 ].
% 83.75/83.94 apply (zenon_L932_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H5d2); [ zenon_intro zenon_H4f0 | zenon_intro zenon_H5d3 ].
% 83.75/83.94 apply (zenon_and_s _ _ zenon_H4f0). zenon_intro zenon_H4e9. zenon_intro zenon_H4f1.
% 83.75/83.94 apply (zenon_and_s _ _ zenon_H4f1). zenon_intro zenon_H4f3. zenon_intro zenon_H4f2.
% 83.75/83.94 apply (zenon_and_s _ _ zenon_H4f2). zenon_intro zenon_H4f5. zenon_intro zenon_H4f4.
% 83.75/83.94 apply (zenon_and_s _ _ zenon_H4f4). zenon_intro zenon_H4eb. zenon_intro zenon_H4f6.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.75/83.94 apply (zenon_L40_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.75/83.94 apply (zenon_L41_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.75/83.94 apply (zenon_L42_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.75/83.94 apply (zenon_L905_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ].
% 83.75/83.94 apply (zenon_L49_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ].
% 83.75/83.94 apply (zenon_L908_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ].
% 83.75/83.94 apply (zenon_L933_); trivial.
% 83.75/83.94 apply (zenon_L889_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.75/83.94 apply (zenon_L914_); trivial.
% 83.75/83.94 apply (zenon_L915_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H5d3); [ zenon_intro zenon_H4f9 | zenon_intro zenon_H521 ].
% 83.75/83.94 apply (zenon_L939_); trivial.
% 83.75/83.94 apply (zenon_and_s _ _ zenon_H521). zenon_intro zenon_H523. zenon_intro zenon_H522.
% 83.75/83.94 apply (zenon_and_s _ _ zenon_H522). zenon_intro zenon_H501. zenon_intro zenon_H524.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.75/83.94 apply (zenon_L40_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.75/83.94 apply (zenon_L41_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.75/83.94 apply (zenon_L42_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.75/83.94 apply (zenon_L905_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ].
% 83.75/83.94 apply (zenon_L43_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ].
% 83.75/83.94 apply (zenon_L910_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ].
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_Hcc | zenon_intro zenon_H150 ].
% 83.75/83.94 apply (zenon_L49_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H151 ].
% 83.75/83.94 apply (zenon_L610_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_He4 | zenon_intro zenon_H11e ].
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ].
% 83.75/83.94 apply (zenon_L42_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ].
% 83.75/83.94 apply (zenon_L942_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ].
% 83.75/83.94 apply (zenon_L71_); trivial.
% 83.75/83.94 apply (zenon_L912_); trivial.
% 83.75/83.94 apply (zenon_L889_); trivial.
% 83.75/83.94 apply (zenon_L88_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.75/83.94 apply (zenon_L914_); trivial.
% 83.75/83.94 apply (zenon_L915_); trivial.
% 83.75/83.94 (* end of lemma zenon_L943_ *)
% 83.75/83.94 assert (zenon_L944_ : (~((op2 (e20) (e23)) = (op2 (op2 (e23) (e22)) (e23)))) -> ((op2 (e23) (e22)) = (e20)) -> False).
% 83.75/83.94 do 0 intro. intros zenon_H664 zenon_H121.
% 83.75/83.94 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_Hd8].
% 83.75/83.94 cut (((e20) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H122].
% 83.75/83.94 congruence.
% 83.75/83.94 apply zenon_H122. apply sym_equal. exact zenon_H121.
% 83.75/83.94 apply zenon_Hd8. apply refl_equal.
% 83.75/83.94 (* end of lemma zenon_L944_ *)
% 83.75/83.94 assert (zenon_L945_ : (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (op2 (e23) (e22)) (e23)) = (e22)) -> ((op2 (e23) (e22)) = (e20)) -> ((op2 (e21) (e23)) = (e22)) -> False).
% 83.75/83.94 do 0 intro. intros zenon_H73 zenon_H665 zenon_H121 zenon_H130.
% 83.75/83.94 cut (((op2 (op2 (e23) (e22)) (e23)) = (e22)) = ((op2 (e20) (e23)) = (op2 (e21) (e23)))).
% 83.75/83.94 intro zenon_D_pnotp.
% 83.75/83.94 apply zenon_H73.
% 83.75/83.94 rewrite <- zenon_D_pnotp.
% 83.75/83.94 exact zenon_H665.
% 83.75/83.94 cut (((e22) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H52a].
% 83.75/83.94 cut (((op2 (op2 (e23) (e22)) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H666].
% 83.75/83.94 congruence.
% 83.75/83.94 elim (classic ((op2 (e20) (e23)) = (op2 (e20) (e23)))); [ zenon_intro zenon_H7d | zenon_intro zenon_H76 ].
% 83.75/83.94 cut (((op2 (e20) (e23)) = (op2 (e20) (e23))) = ((op2 (op2 (e23) (e22)) (e23)) = (op2 (e20) (e23)))).
% 83.75/83.94 intro zenon_D_pnotp.
% 83.75/83.94 apply zenon_H666.
% 83.75/83.94 rewrite <- zenon_D_pnotp.
% 83.75/83.94 exact zenon_H7d.
% 83.75/83.94 cut (((op2 (e20) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H76].
% 83.75/83.94 cut (((op2 (e20) (e23)) = (op2 (op2 (e23) (e22)) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H664].
% 83.75/83.94 congruence.
% 83.75/83.94 apply (zenon_L944_); trivial.
% 83.75/83.94 apply zenon_H76. apply refl_equal.
% 83.75/83.94 apply zenon_H76. apply refl_equal.
% 83.75/83.94 apply zenon_H52a. apply sym_equal. exact zenon_H130.
% 83.75/83.94 (* end of lemma zenon_L945_ *)
% 83.75/83.94 assert (zenon_L946_ : (~((op2 (e22) (e23)) = (op2 (op2 (e23) (e22)) (e23)))) -> ((op2 (e23) (e22)) = (e22)) -> False).
% 83.75/83.94 do 0 intro. intros zenon_H667 zenon_H50d.
% 83.75/83.94 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_Hd8].
% 83.75/83.94 cut (((e22) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H50e].
% 83.75/83.94 congruence.
% 83.75/83.94 apply zenon_H50e. apply sym_equal. exact zenon_H50d.
% 83.75/83.94 apply zenon_Hd8. apply refl_equal.
% 83.75/83.94 (* end of lemma zenon_L946_ *)
% 83.75/83.94 assert (zenon_L947_ : ((op2 (op2 (e23) (e22)) (e23)) = (e22)) -> ((op2 (e23) (e22)) = (e22)) -> ((op2 (e21) (e23)) = (e22)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> False).
% 83.75/83.94 do 0 intro. intros zenon_H665 zenon_H50d zenon_H130 zenon_H12f.
% 83.75/83.94 elim (classic ((op2 (e22) (e23)) = (op2 (e22) (e23)))); [ zenon_intro zenon_H4df | zenon_intro zenon_H4e0 ].
% 83.75/83.94 cut (((op2 (e22) (e23)) = (op2 (e22) (e23))) = ((op2 (e21) (e23)) = (op2 (e22) (e23)))).
% 83.75/83.94 intro zenon_D_pnotp.
% 83.75/83.94 apply zenon_H12f.
% 83.75/83.94 rewrite <- zenon_D_pnotp.
% 83.75/83.94 exact zenon_H4df.
% 83.75/83.94 cut (((op2 (e22) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H4e0].
% 83.75/83.94 cut (((op2 (e22) (e23)) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H656].
% 83.75/83.94 congruence.
% 83.75/83.94 cut (((op2 (op2 (e23) (e22)) (e23)) = (e22)) = ((op2 (e22) (e23)) = (op2 (e21) (e23)))).
% 83.75/83.94 intro zenon_D_pnotp.
% 83.75/83.94 apply zenon_H656.
% 83.75/83.94 rewrite <- zenon_D_pnotp.
% 83.75/83.94 exact zenon_H665.
% 83.75/83.94 cut (((e22) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H52a].
% 83.75/83.94 cut (((op2 (op2 (e23) (e22)) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H668].
% 83.75/83.94 congruence.
% 83.75/83.94 elim (classic ((op2 (e22) (e23)) = (op2 (e22) (e23)))); [ zenon_intro zenon_H4df | zenon_intro zenon_H4e0 ].
% 83.75/83.94 cut (((op2 (e22) (e23)) = (op2 (e22) (e23))) = ((op2 (op2 (e23) (e22)) (e23)) = (op2 (e22) (e23)))).
% 83.75/83.94 intro zenon_D_pnotp.
% 83.75/83.94 apply zenon_H668.
% 83.75/83.94 rewrite <- zenon_D_pnotp.
% 83.75/83.94 exact zenon_H4df.
% 83.75/83.94 cut (((op2 (e22) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H4e0].
% 83.75/83.94 cut (((op2 (e22) (e23)) = (op2 (op2 (e23) (e22)) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H667].
% 83.75/83.94 congruence.
% 83.75/83.94 apply (zenon_L946_); trivial.
% 83.75/83.94 apply zenon_H4e0. apply refl_equal.
% 83.75/83.94 apply zenon_H4e0. apply refl_equal.
% 83.75/83.94 apply zenon_H52a. apply sym_equal. exact zenon_H130.
% 83.75/83.94 apply zenon_H4e0. apply refl_equal.
% 83.75/83.94 apply zenon_H4e0. apply refl_equal.
% 83.75/83.94 (* end of lemma zenon_L947_ *)
% 83.75/83.94 assert (zenon_L948_ : (~((op2 (e23) (e23)) = (op2 (op2 (e23) (e22)) (e23)))) -> ((op2 (e23) (e22)) = (e23)) -> False).
% 83.75/83.94 do 0 intro. intros zenon_H669 zenon_H582.
% 83.75/83.94 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_Hd8].
% 83.75/83.94 cut (((e23) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H583].
% 83.75/83.94 congruence.
% 83.75/83.94 apply zenon_H583. apply sym_equal. exact zenon_H582.
% 83.75/83.94 apply zenon_Hd8. apply refl_equal.
% 83.75/83.94 (* end of lemma zenon_L948_ *)
% 83.75/83.94 assert (zenon_L949_ : ((op2 (op2 (e23) (e22)) (e23)) = (e22)) -> ((op2 (e23) (e22)) = (e23)) -> ((op2 (e21) (e23)) = (e22)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> False).
% 83.75/83.94 do 0 intro. intros zenon_H665 zenon_H582 zenon_H130 zenon_H57e.
% 83.75/83.94 elim (classic ((op2 (e23) (e23)) = (op2 (e23) (e23)))); [ zenon_intro zenon_H523 | zenon_intro zenon_H63c ].
% 83.75/83.94 cut (((op2 (e23) (e23)) = (op2 (e23) (e23))) = ((op2 (e21) (e23)) = (op2 (e23) (e23)))).
% 83.75/83.94 intro zenon_D_pnotp.
% 83.75/83.94 apply zenon_H57e.
% 83.75/83.94 rewrite <- zenon_D_pnotp.
% 83.75/83.94 exact zenon_H523.
% 83.75/83.94 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H63c].
% 83.75/83.94 cut (((op2 (e23) (e23)) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H66a].
% 83.75/83.94 congruence.
% 83.75/83.94 cut (((op2 (op2 (e23) (e22)) (e23)) = (e22)) = ((op2 (e23) (e23)) = (op2 (e21) (e23)))).
% 83.75/83.94 intro zenon_D_pnotp.
% 83.75/83.94 apply zenon_H66a.
% 83.75/83.94 rewrite <- zenon_D_pnotp.
% 83.75/83.94 exact zenon_H665.
% 83.75/83.94 cut (((e22) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H52a].
% 83.75/83.94 cut (((op2 (op2 (e23) (e22)) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H66b].
% 83.75/83.94 congruence.
% 83.75/83.94 elim (classic ((op2 (e23) (e23)) = (op2 (e23) (e23)))); [ zenon_intro zenon_H523 | zenon_intro zenon_H63c ].
% 83.75/83.94 cut (((op2 (e23) (e23)) = (op2 (e23) (e23))) = ((op2 (op2 (e23) (e22)) (e23)) = (op2 (e23) (e23)))).
% 83.75/83.94 intro zenon_D_pnotp.
% 83.75/83.94 apply zenon_H66b.
% 83.75/83.94 rewrite <- zenon_D_pnotp.
% 83.75/83.94 exact zenon_H523.
% 83.75/83.94 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H63c].
% 83.75/83.94 cut (((op2 (e23) (e23)) = (op2 (op2 (e23) (e22)) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H669].
% 83.75/83.94 congruence.
% 83.75/83.94 apply (zenon_L948_); trivial.
% 83.75/83.94 apply zenon_H63c. apply refl_equal.
% 83.75/83.94 apply zenon_H63c. apply refl_equal.
% 83.75/83.94 apply zenon_H52a. apply sym_equal. exact zenon_H130.
% 83.75/83.94 apply zenon_H63c. apply refl_equal.
% 83.75/83.94 apply zenon_H63c. apply refl_equal.
% 83.75/83.94 (* end of lemma zenon_L949_ *)
% 83.75/83.94 assert (zenon_L950_ : (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (op2 (e23) (e22)) (e23)) = (e22)) -> ((op2 (e21) (e23)) = (e22)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> False).
% 83.75/83.94 do 0 intro. intros zenon_H584 zenon_H73 zenon_H112 zenon_H78 zenon_H7a zenon_H12f zenon_H665 zenon_H130 zenon_H57e.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H584); [ zenon_intro zenon_H121 | zenon_intro zenon_H585 ].
% 83.75/83.94 apply (zenon_L945_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H585); [ zenon_intro zenon_H111 | zenon_intro zenon_H586 ].
% 83.75/83.94 apply (zenon_L66_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H586); [ zenon_intro zenon_H50d | zenon_intro zenon_H582 ].
% 83.75/83.94 apply (zenon_L947_); trivial.
% 83.75/83.94 apply (zenon_L949_); trivial.
% 83.75/83.94 (* end of lemma zenon_L950_ *)
% 83.75/83.94 assert (zenon_L951_ : (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (op2 (e23) (e22)) (e23)) = (e22)) -> ((op2 (e23) (e22)) = (e20)) -> ((op2 (e22) (e23)) = (e22)) -> False).
% 83.75/83.94 do 0 intro. intros zenon_H91 zenon_H665 zenon_H121 zenon_Hfd.
% 83.75/83.94 cut (((op2 (op2 (e23) (e22)) (e23)) = (e22)) = ((op2 (e20) (e23)) = (op2 (e22) (e23)))).
% 83.75/83.94 intro zenon_D_pnotp.
% 83.75/83.94 apply zenon_H91.
% 83.75/83.94 rewrite <- zenon_D_pnotp.
% 83.75/83.94 exact zenon_H665.
% 83.75/83.94 cut (((e22) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H131].
% 83.75/83.94 cut (((op2 (op2 (e23) (e22)) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H666].
% 83.75/83.94 congruence.
% 83.75/83.94 elim (classic ((op2 (e20) (e23)) = (op2 (e20) (e23)))); [ zenon_intro zenon_H7d | zenon_intro zenon_H76 ].
% 83.75/83.94 cut (((op2 (e20) (e23)) = (op2 (e20) (e23))) = ((op2 (op2 (e23) (e22)) (e23)) = (op2 (e20) (e23)))).
% 83.75/83.94 intro zenon_D_pnotp.
% 83.75/83.94 apply zenon_H666.
% 83.75/83.94 rewrite <- zenon_D_pnotp.
% 83.75/83.94 exact zenon_H7d.
% 83.75/83.94 cut (((op2 (e20) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H76].
% 83.75/83.94 cut (((op2 (e20) (e23)) = (op2 (op2 (e23) (e22)) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H664].
% 83.75/83.94 congruence.
% 83.75/83.94 apply (zenon_L944_); trivial.
% 83.75/83.94 apply zenon_H76. apply refl_equal.
% 83.75/83.94 apply zenon_H76. apply refl_equal.
% 83.75/83.94 apply zenon_H131. apply sym_equal. exact zenon_Hfd.
% 83.75/83.94 (* end of lemma zenon_L951_ *)
% 83.75/83.94 assert (zenon_L952_ : (~((op2 (e23) (op2 (e23) (e22))) = (e22))) -> ((op2 (op2 (e23) (e22)) (e23)) = (e22)) -> ((op2 (e23) (e22)) = (e23)) -> False).
% 83.75/83.94 do 0 intro. intros zenon_H66c zenon_H665 zenon_H582.
% 83.75/83.94 cut (((op2 (op2 (e23) (e22)) (e23)) = (e22)) = ((op2 (e23) (op2 (e23) (e22))) = (e22))).
% 83.75/83.94 intro zenon_D_pnotp.
% 83.75/83.94 apply zenon_H66c.
% 83.75/83.94 rewrite <- zenon_D_pnotp.
% 83.75/83.94 exact zenon_H665.
% 83.75/83.94 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Ha1].
% 83.75/83.94 cut (((op2 (op2 (e23) (e22)) (e23)) = (op2 (e23) (op2 (e23) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H66d].
% 83.75/83.94 congruence.
% 83.75/83.94 elim (classic ((op2 (e23) (op2 (e23) (e22))) = (op2 (e23) (op2 (e23) (e22))))); [ zenon_intro zenon_H66e | zenon_intro zenon_H66f ].
% 83.75/83.94 cut (((op2 (e23) (op2 (e23) (e22))) = (op2 (e23) (op2 (e23) (e22)))) = ((op2 (op2 (e23) (e22)) (e23)) = (op2 (e23) (op2 (e23) (e22))))).
% 83.75/83.94 intro zenon_D_pnotp.
% 83.75/83.94 apply zenon_H66d.
% 83.75/83.94 rewrite <- zenon_D_pnotp.
% 83.75/83.94 exact zenon_H66e.
% 83.75/83.94 cut (((op2 (e23) (op2 (e23) (e22))) = (op2 (e23) (op2 (e23) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H66f].
% 83.75/83.94 cut (((op2 (e23) (op2 (e23) (e22))) = (op2 (op2 (e23) (e22)) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H670].
% 83.75/83.94 congruence.
% 83.75/83.94 cut (((op2 (e23) (e22)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H5f9].
% 83.75/83.94 cut (((e23) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H583].
% 83.75/83.94 congruence.
% 83.75/83.94 apply zenon_H583. apply sym_equal. exact zenon_H582.
% 83.75/83.94 exact (zenon_H5f9 zenon_H582).
% 83.75/83.94 apply zenon_H66f. apply refl_equal.
% 83.75/83.94 apply zenon_H66f. apply refl_equal.
% 83.75/83.94 apply zenon_Ha1. apply refl_equal.
% 83.75/83.94 (* end of lemma zenon_L952_ *)
% 83.75/83.94 assert (zenon_L953_ : (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((op2 (e22) (e23)) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (op2 (e23) (e22))) = (e22))) -> ((op2 (op2 (e23) (e22)) (e23)) = (e22)) -> False).
% 83.75/83.94 do 0 intro. intros zenon_H584 zenon_Hfd zenon_H91 zenon_H112 zenon_H78 zenon_H7a zenon_Hf8 zenon_H11f zenon_H66c zenon_H665.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H584); [ zenon_intro zenon_H121 | zenon_intro zenon_H585 ].
% 83.75/83.94 apply (zenon_L951_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H585); [ zenon_intro zenon_H111 | zenon_intro zenon_H586 ].
% 83.75/83.94 apply (zenon_L66_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H586); [ zenon_intro zenon_H50d | zenon_intro zenon_H582 ].
% 83.75/83.94 apply (zenon_L598_); trivial.
% 83.75/83.94 apply (zenon_L952_); trivial.
% 83.75/83.94 (* end of lemma zenon_L953_ *)
% 83.75/83.94 assert (zenon_L954_ : (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (op2 (e23) (e22)) (e23)) = (e22)) -> ((op2 (e23) (e22)) = (e20)) -> ((op2 (e23) (e23)) = (e22)) -> False).
% 83.75/83.94 do 0 intro. intros zenon_H94 zenon_H665 zenon_H121 zenon_H4fc.
% 83.75/83.94 cut (((op2 (op2 (e23) (e22)) (e23)) = (e22)) = ((op2 (e20) (e23)) = (op2 (e23) (e23)))).
% 83.75/83.94 intro zenon_D_pnotp.
% 83.75/83.94 apply zenon_H94.
% 83.75/83.94 rewrite <- zenon_D_pnotp.
% 83.75/83.94 exact zenon_H665.
% 83.75/83.94 cut (((e22) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H4fd].
% 83.75/83.94 cut (((op2 (op2 (e23) (e22)) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H666].
% 83.75/83.94 congruence.
% 83.75/83.94 elim (classic ((op2 (e20) (e23)) = (op2 (e20) (e23)))); [ zenon_intro zenon_H7d | zenon_intro zenon_H76 ].
% 83.75/83.94 cut (((op2 (e20) (e23)) = (op2 (e20) (e23))) = ((op2 (op2 (e23) (e22)) (e23)) = (op2 (e20) (e23)))).
% 83.75/83.94 intro zenon_D_pnotp.
% 83.75/83.94 apply zenon_H666.
% 83.75/83.94 rewrite <- zenon_D_pnotp.
% 83.75/83.94 exact zenon_H7d.
% 83.75/83.94 cut (((op2 (e20) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H76].
% 83.75/83.94 cut (((op2 (e20) (e23)) = (op2 (op2 (e23) (e22)) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H664].
% 83.75/83.94 congruence.
% 83.75/83.94 apply (zenon_L944_); trivial.
% 83.75/83.94 apply zenon_H76. apply refl_equal.
% 83.75/83.94 apply zenon_H76. apply refl_equal.
% 83.75/83.94 apply zenon_H4fd. apply sym_equal. exact zenon_H4fc.
% 83.75/83.94 (* end of lemma zenon_L954_ *)
% 83.75/83.94 assert (zenon_L955_ : (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (op2 (e23) (e22)) (e23)) = (e22)) -> ((op2 (e23) (e22)) = (e22)) -> ((op2 (e23) (e23)) = (e22)) -> False).
% 83.75/83.94 do 0 intro. intros zenon_H653 zenon_H665 zenon_H50d zenon_H4fc.
% 83.75/83.94 cut (((op2 (op2 (e23) (e22)) (e23)) = (e22)) = ((op2 (e22) (e23)) = (op2 (e23) (e23)))).
% 83.75/83.94 intro zenon_D_pnotp.
% 83.75/83.94 apply zenon_H653.
% 83.75/83.94 rewrite <- zenon_D_pnotp.
% 83.75/83.94 exact zenon_H665.
% 83.75/83.94 cut (((e22) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H4fd].
% 83.75/83.94 cut (((op2 (op2 (e23) (e22)) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H668].
% 83.75/83.94 congruence.
% 83.75/83.94 elim (classic ((op2 (e22) (e23)) = (op2 (e22) (e23)))); [ zenon_intro zenon_H4df | zenon_intro zenon_H4e0 ].
% 83.75/83.94 cut (((op2 (e22) (e23)) = (op2 (e22) (e23))) = ((op2 (op2 (e23) (e22)) (e23)) = (op2 (e22) (e23)))).
% 83.75/83.94 intro zenon_D_pnotp.
% 83.75/83.94 apply zenon_H668.
% 83.75/83.94 rewrite <- zenon_D_pnotp.
% 83.75/83.94 exact zenon_H4df.
% 83.75/83.94 cut (((op2 (e22) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H4e0].
% 83.75/83.94 cut (((op2 (e22) (e23)) = (op2 (op2 (e23) (e22)) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H667].
% 83.75/83.94 congruence.
% 83.75/83.94 apply (zenon_L946_); trivial.
% 83.75/83.94 apply zenon_H4e0. apply refl_equal.
% 83.75/83.94 apply zenon_H4e0. apply refl_equal.
% 83.75/83.94 apply zenon_H4fd. apply sym_equal. exact zenon_H4fc.
% 83.75/83.94 (* end of lemma zenon_L955_ *)
% 83.75/83.94 assert (zenon_L956_ : (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((op2 (e23) (e23)) = (e22)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (op2 (e23) (e22))) = (e22))) -> ((op2 (op2 (e23) (e22)) (e23)) = (e22)) -> False).
% 83.75/83.94 do 0 intro. intros zenon_H584 zenon_H94 zenon_H112 zenon_H78 zenon_H7a zenon_H4fc zenon_H653 zenon_H66c zenon_H665.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H584); [ zenon_intro zenon_H121 | zenon_intro zenon_H585 ].
% 83.75/83.94 apply (zenon_L954_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H585); [ zenon_intro zenon_H111 | zenon_intro zenon_H586 ].
% 83.75/83.94 apply (zenon_L66_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H586); [ zenon_intro zenon_H50d | zenon_intro zenon_H582 ].
% 83.75/83.94 apply (zenon_L955_); trivial.
% 83.75/83.94 apply (zenon_L952_); trivial.
% 83.75/83.94 (* end of lemma zenon_L956_ *)
% 83.75/83.94 assert (zenon_L957_ : (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (op2 (e23) (e22))) = (e22))) -> ((op2 (op2 (e23) (e22)) (e23)) = (e22)) -> False).
% 83.75/83.94 do 0 intro. intros zenon_H57f zenon_H82 zenon_H57e zenon_H12f zenon_H73 zenon_H11f zenon_Hf8 zenon_H91 zenon_H584 zenon_H94 zenon_H112 zenon_H78 zenon_H7a zenon_H653 zenon_H66c zenon_H665.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H57f); [ zenon_intro zenon_H81 | zenon_intro zenon_H580 ].
% 83.75/83.94 apply (zenon_L29_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H580); [ zenon_intro zenon_H130 | zenon_intro zenon_H581 ].
% 83.75/83.94 apply (zenon_L950_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H581); [ zenon_intro zenon_Hfd | zenon_intro zenon_H4fc ].
% 83.75/83.94 apply (zenon_L953_); trivial.
% 83.75/83.94 apply (zenon_L956_); trivial.
% 83.75/83.94 (* end of lemma zenon_L957_ *)
% 83.75/83.94 assert (zenon_L958_ : (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (op2 (e23) (e22)) (e23)) = (e22)) -> ((op2 (e23) (e22)) = (e20)) -> False).
% 83.75/83.94 do 0 intro. intros zenon_H57f zenon_H82 zenon_H57e zenon_H12f zenon_H7a zenon_H78 zenon_H112 zenon_H73 zenon_H584 zenon_H91 zenon_H94 zenon_H665 zenon_H121.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H57f); [ zenon_intro zenon_H81 | zenon_intro zenon_H580 ].
% 83.75/83.94 apply (zenon_L29_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H580); [ zenon_intro zenon_H130 | zenon_intro zenon_H581 ].
% 83.75/83.94 apply (zenon_L950_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H581); [ zenon_intro zenon_Hfd | zenon_intro zenon_H4fc ].
% 83.75/83.94 apply (zenon_L951_); trivial.
% 83.75/83.94 apply (zenon_L954_); trivial.
% 83.75/83.94 (* end of lemma zenon_L958_ *)
% 83.75/83.94 assert (zenon_L959_ : ((op2 (op2 (e23) (e22)) (e23)) = (e22)) -> ((op2 (e23) (e22)) = (e22)) -> ((op2 (e22) (e22)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> False).
% 83.75/83.94 do 0 intro. intros zenon_H665 zenon_H50d zenon_Hf9 zenon_H671.
% 83.75/83.94 elim (classic ((op2 (e22) (e23)) = (op2 (e22) (e23)))); [ zenon_intro zenon_H4df | zenon_intro zenon_H4e0 ].
% 83.75/83.94 cut (((op2 (e22) (e23)) = (op2 (e22) (e23))) = ((op2 (e22) (e22)) = (op2 (e22) (e23)))).
% 83.75/83.94 intro zenon_D_pnotp.
% 83.75/83.94 apply zenon_H671.
% 83.75/83.94 rewrite <- zenon_D_pnotp.
% 83.75/83.94 exact zenon_H4df.
% 83.75/83.94 cut (((op2 (e22) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H4e0].
% 83.75/83.94 cut (((op2 (e22) (e23)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H672].
% 83.75/83.94 congruence.
% 83.75/83.94 cut (((op2 (op2 (e23) (e22)) (e23)) = (e22)) = ((op2 (e22) (e23)) = (op2 (e22) (e22)))).
% 83.75/83.94 intro zenon_D_pnotp.
% 83.75/83.94 apply zenon_H672.
% 83.75/83.94 rewrite <- zenon_D_pnotp.
% 83.75/83.94 exact zenon_H665.
% 83.75/83.94 cut (((e22) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hfa].
% 83.75/83.94 cut (((op2 (op2 (e23) (e22)) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H668].
% 83.75/83.94 congruence.
% 83.75/83.94 elim (classic ((op2 (e22) (e23)) = (op2 (e22) (e23)))); [ zenon_intro zenon_H4df | zenon_intro zenon_H4e0 ].
% 83.75/83.94 cut (((op2 (e22) (e23)) = (op2 (e22) (e23))) = ((op2 (op2 (e23) (e22)) (e23)) = (op2 (e22) (e23)))).
% 83.75/83.94 intro zenon_D_pnotp.
% 83.75/83.94 apply zenon_H668.
% 83.75/83.94 rewrite <- zenon_D_pnotp.
% 83.75/83.94 exact zenon_H4df.
% 83.75/83.94 cut (((op2 (e22) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H4e0].
% 83.75/83.94 cut (((op2 (e22) (e23)) = (op2 (op2 (e23) (e22)) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H667].
% 83.75/83.94 congruence.
% 83.75/83.94 apply (zenon_L946_); trivial.
% 83.75/83.94 apply zenon_H4e0. apply refl_equal.
% 83.75/83.94 apply zenon_H4e0. apply refl_equal.
% 83.75/83.94 apply zenon_Hfa. apply sym_equal. exact zenon_Hf9.
% 83.75/83.94 apply zenon_H4e0. apply refl_equal.
% 83.75/83.94 apply zenon_H4e0. apply refl_equal.
% 83.75/83.94 (* end of lemma zenon_L959_ *)
% 83.75/83.94 assert (zenon_L960_ : ((op2 (op2 (e23) (e22)) (e23)) = (e22)) -> ((op2 (e23) (e22)) = (e23)) -> ((op2 (e22) (e23)) = (e22)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> False).
% 83.75/83.94 do 0 intro. intros zenon_H665 zenon_H582 zenon_Hfd zenon_H653.
% 83.75/83.94 elim (classic ((op2 (e23) (e23)) = (op2 (e23) (e23)))); [ zenon_intro zenon_H523 | zenon_intro zenon_H63c ].
% 83.75/83.94 cut (((op2 (e23) (e23)) = (op2 (e23) (e23))) = ((op2 (e22) (e23)) = (op2 (e23) (e23)))).
% 83.75/83.94 intro zenon_D_pnotp.
% 83.75/83.94 apply zenon_H653.
% 83.75/83.94 rewrite <- zenon_D_pnotp.
% 83.75/83.94 exact zenon_H523.
% 83.75/83.94 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H63c].
% 83.75/83.94 cut (((op2 (e23) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H673].
% 83.75/83.94 congruence.
% 83.75/83.94 cut (((op2 (op2 (e23) (e22)) (e23)) = (e22)) = ((op2 (e23) (e23)) = (op2 (e22) (e23)))).
% 83.75/83.94 intro zenon_D_pnotp.
% 83.75/83.94 apply zenon_H673.
% 83.75/83.94 rewrite <- zenon_D_pnotp.
% 83.75/83.94 exact zenon_H665.
% 83.75/83.94 cut (((e22) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H131].
% 83.75/83.94 cut (((op2 (op2 (e23) (e22)) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H66b].
% 83.75/83.94 congruence.
% 83.75/83.94 elim (classic ((op2 (e23) (e23)) = (op2 (e23) (e23)))); [ zenon_intro zenon_H523 | zenon_intro zenon_H63c ].
% 83.75/83.94 cut (((op2 (e23) (e23)) = (op2 (e23) (e23))) = ((op2 (op2 (e23) (e22)) (e23)) = (op2 (e23) (e23)))).
% 83.75/83.94 intro zenon_D_pnotp.
% 83.75/83.94 apply zenon_H66b.
% 83.75/83.94 rewrite <- zenon_D_pnotp.
% 83.75/83.94 exact zenon_H523.
% 83.75/83.94 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H63c].
% 83.75/83.94 cut (((op2 (e23) (e23)) = (op2 (op2 (e23) (e22)) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H669].
% 83.75/83.94 congruence.
% 83.75/83.94 apply (zenon_L948_); trivial.
% 83.75/83.94 apply zenon_H63c. apply refl_equal.
% 83.75/83.94 apply zenon_H63c. apply refl_equal.
% 83.75/83.94 apply zenon_H131. apply sym_equal. exact zenon_Hfd.
% 83.75/83.94 apply zenon_H63c. apply refl_equal.
% 83.75/83.94 apply zenon_H63c. apply refl_equal.
% 83.75/83.94 (* end of lemma zenon_L960_ *)
% 83.75/83.94 assert (zenon_L961_ : (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e22)) = (e22)) -> ((op2 (op2 (e23) (e22)) (e23)) = (e22)) -> ((op2 (e22) (e23)) = (e22)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> False).
% 83.75/83.94 do 0 intro. intros zenon_H94 zenon_H91 zenon_H584 zenon_H73 zenon_H12f zenon_H57e zenon_H82 zenon_H57f zenon_H112 zenon_H78 zenon_H7a zenon_H671 zenon_Hf9 zenon_H665 zenon_Hfd zenon_H653.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H584); [ zenon_intro zenon_H121 | zenon_intro zenon_H585 ].
% 83.75/83.94 apply (zenon_L958_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H585); [ zenon_intro zenon_H111 | zenon_intro zenon_H586 ].
% 83.75/83.94 apply (zenon_L66_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H586); [ zenon_intro zenon_H50d | zenon_intro zenon_H582 ].
% 83.75/83.94 apply (zenon_L959_); trivial.
% 83.75/83.94 apply (zenon_L960_); trivial.
% 83.75/83.94 (* end of lemma zenon_L961_ *)
% 83.75/83.94 assert (zenon_L962_ : ((op2 (e22) (e22)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (op2 (e23) (e22))) = (e22))) -> ((op2 (op2 (e23) (e22)) (e23)) = (e22)) -> False).
% 83.75/83.94 do 0 intro. intros zenon_Hf9 zenon_H671 zenon_H57f zenon_H82 zenon_H57e zenon_H12f zenon_H73 zenon_H91 zenon_H584 zenon_H94 zenon_H112 zenon_H78 zenon_H7a zenon_H653 zenon_H66c zenon_H665.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H57f); [ zenon_intro zenon_H81 | zenon_intro zenon_H580 ].
% 83.75/83.94 apply (zenon_L29_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H580); [ zenon_intro zenon_H130 | zenon_intro zenon_H581 ].
% 83.75/83.94 apply (zenon_L950_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H581); [ zenon_intro zenon_Hfd | zenon_intro zenon_H4fc ].
% 83.75/83.94 apply (zenon_L961_); trivial.
% 83.75/83.94 apply (zenon_L956_); trivial.
% 83.75/83.94 (* end of lemma zenon_L962_ *)
% 83.75/83.94 assert (zenon_L963_ : (~((op2 (e23) (op2 (e23) (e22))) = (op2 (e23) (e22)))) -> ((op2 (e23) (e22)) = (e22)) -> False).
% 83.75/83.94 do 0 intro. intros zenon_H674 zenon_H50d.
% 83.75/83.94 cut (((op2 (e23) (e22)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H675].
% 83.75/83.94 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_Hd8].
% 83.75/83.94 congruence.
% 83.75/83.94 apply zenon_Hd8. apply refl_equal.
% 83.75/83.94 exact (zenon_H675 zenon_H50d).
% 83.75/83.94 (* end of lemma zenon_L963_ *)
% 83.75/83.94 assert (zenon_L964_ : (~((op2 (e23) (op2 (e23) (e22))) = (e22))) -> ((op2 (e23) (e22)) = (e22)) -> False).
% 83.75/83.94 do 0 intro. intros zenon_H66c zenon_H50d.
% 83.75/83.94 cut (((op2 (e23) (e22)) = (e22)) = ((op2 (e23) (op2 (e23) (e22))) = (e22))).
% 83.75/83.94 intro zenon_D_pnotp.
% 83.75/83.94 apply zenon_H66c.
% 83.75/83.94 rewrite <- zenon_D_pnotp.
% 83.75/83.94 exact zenon_H50d.
% 83.75/83.94 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Ha1].
% 83.75/83.94 cut (((op2 (e23) (e22)) = (op2 (e23) (op2 (e23) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H676].
% 83.75/83.94 congruence.
% 83.75/83.94 elim (classic ((op2 (e23) (op2 (e23) (e22))) = (op2 (e23) (op2 (e23) (e22))))); [ zenon_intro zenon_H66e | zenon_intro zenon_H66f ].
% 83.75/83.94 cut (((op2 (e23) (op2 (e23) (e22))) = (op2 (e23) (op2 (e23) (e22)))) = ((op2 (e23) (e22)) = (op2 (e23) (op2 (e23) (e22))))).
% 83.75/83.94 intro zenon_D_pnotp.
% 83.75/83.94 apply zenon_H676.
% 83.75/83.94 rewrite <- zenon_D_pnotp.
% 83.75/83.94 exact zenon_H66e.
% 83.75/83.94 cut (((op2 (e23) (op2 (e23) (e22))) = (op2 (e23) (op2 (e23) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H66f].
% 83.75/83.94 cut (((op2 (e23) (op2 (e23) (e22))) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H674].
% 83.75/83.94 congruence.
% 83.75/83.94 apply (zenon_L963_); trivial.
% 83.75/83.94 apply zenon_H66f. apply refl_equal.
% 83.75/83.94 apply zenon_H66f. apply refl_equal.
% 83.75/83.94 apply zenon_Ha1. apply refl_equal.
% 83.75/83.94 (* end of lemma zenon_L964_ *)
% 83.75/83.94 assert (zenon_L965_ : ((~((op2 (e23) (op2 (e23) (e22))) = (e22)))/\(((op2 (op2 (e23) (e22)) (e23)) = (e22))/\(~((op2 (op2 (e23) (e22)) (e22)) = (e23))))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> False).
% 83.75/83.94 do 0 intro. intros zenon_H677 zenon_H563 zenon_H55b zenon_H11f zenon_H653 zenon_H7a zenon_H78 zenon_H112 zenon_H94 zenon_H584 zenon_H91 zenon_H73 zenon_H12f zenon_H57e zenon_H82 zenon_H57f zenon_H671.
% 83.75/83.94 apply (zenon_and_s _ _ zenon_H677). zenon_intro zenon_H66c. zenon_intro zenon_H678.
% 83.75/83.94 apply (zenon_and_s _ _ zenon_H678). zenon_intro zenon_H665. zenon_intro zenon_H679.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H563); [ zenon_intro zenon_H55a | zenon_intro zenon_H564 ].
% 83.75/83.94 apply (zenon_L654_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H564); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H565 ].
% 83.75/83.94 apply (zenon_L957_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H565); [ zenon_intro zenon_Hf9 | zenon_intro zenon_H50d ].
% 83.75/83.94 apply (zenon_L962_); trivial.
% 83.75/83.94 apply (zenon_L964_); trivial.
% 83.75/83.94 (* end of lemma zenon_L965_ *)
% 83.75/83.94 assert (zenon_L966_ : ((~((op2 (e23) (op2 (e23) (e23))) = (e23)))/\(((op2 (op2 (e23) (e23)) (e23)) = (e23))/\(~((op2 (op2 (e23) (e23)) (e23)) = (e23))))) -> False).
% 83.75/83.94 do 0 intro. intros zenon_H67a.
% 83.75/83.94 apply (zenon_and_s _ _ zenon_H67a). zenon_intro zenon_H614. zenon_intro zenon_H67b.
% 83.75/83.94 apply (zenon_and_s _ _ zenon_H67b). zenon_intro zenon_H67d. zenon_intro zenon_H67c.
% 83.75/83.94 exact (zenon_H67c zenon_H67d).
% 83.75/83.94 (* end of lemma zenon_L966_ *)
% 83.75/83.94 assert (zenon_L967_ : (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e11) = (e13))) -> ((op1 (e12) (e10)) = (e10)) -> (~((e10) = (e13))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> ((op2 (e21) (e21)) = (e20)) -> ((h1 (e10)) = (e20)) -> (~((h1 (op1 (e11) (e11))) = (op2 (h1 (e11)) (h1 (e11))))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e10) (e13)) = (e10)) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 83.75/83.94 do 0 intro. intros zenon_H1f3 zenon_H173 zenon_H1ee zenon_H1ff zenon_H200 zenon_H276 zenon_H1c9 zenon_H2e zenon_H3f zenon_H1a9 zenon_H1a5 zenon_H1a0 zenon_H1ad zenon_H18e zenon_H1b6 zenon_H187 zenon_H16d zenon_H1ba zenon_H16 zenon_H1b9 zenon_H176 zenon_H56 zenon_H50 zenon_H1c8 zenon_H7a zenon_H1fd zenon_Hd2 zenon_H64 zenon_H67e zenon_H2c zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H19a zenon_H1c2 zenon_H20d zenon_H163 zenon_H1bf zenon_H204 zenon_H20a zenon_H16b zenon_H1b0 zenon_H45 zenon_H42 zenon_H1f5 zenon_H1e zenon_H17 zenon_H14 zenon_H25.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H2d | zenon_intro zenon_H1f6 ].
% 83.75/83.94 apply (zenon_L7_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H162 | zenon_intro zenon_H1f7 ].
% 83.75/83.94 apply (zenon_L178_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H16c | zenon_intro zenon_H195 ].
% 83.75/83.94 apply (zenon_L93_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H18 | zenon_intro zenon_H174 ].
% 83.75/83.94 apply (zenon_L3_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H169 | zenon_intro zenon_H175 ].
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H18 | zenon_intro zenon_H1f8 ].
% 83.75/83.94 apply (zenon_L3_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1f9 ].
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_H161 | zenon_intro zenon_H27a ].
% 83.75/83.94 apply (zenon_L115_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H27a); [ zenon_intro zenon_H177 | zenon_intro zenon_H27b ].
% 83.75/83.94 cut (((h1 (e10)) = (e20)) = ((h1 (op1 (e11) (e11))) = (op2 (h1 (e11)) (h1 (e11))))).
% 83.75/83.94 intro zenon_D_pnotp.
% 83.75/83.94 apply zenon_H67e.
% 83.75/83.94 rewrite <- zenon_D_pnotp.
% 83.75/83.94 exact zenon_H64.
% 83.75/83.94 cut (((e20) = (op2 (h1 (e11)) (h1 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H67f].
% 83.75/83.94 cut (((h1 (e10)) = (h1 (op1 (e11) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H680].
% 83.75/83.94 congruence.
% 83.75/83.94 elim (classic ((h1 (op1 (e11) (e11))) = (h1 (op1 (e11) (e11))))); [ zenon_intro zenon_H681 | zenon_intro zenon_H682 ].
% 83.75/83.94 cut (((h1 (op1 (e11) (e11))) = (h1 (op1 (e11) (e11)))) = ((h1 (e10)) = (h1 (op1 (e11) (e11))))).
% 83.75/83.94 intro zenon_D_pnotp.
% 83.75/83.94 apply zenon_H680.
% 83.75/83.94 rewrite <- zenon_D_pnotp.
% 83.75/83.94 exact zenon_H681.
% 83.75/83.94 cut (((h1 (op1 (e11) (e11))) = (h1 (op1 (e11) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H682].
% 83.75/83.94 cut (((h1 (op1 (e11) (e11))) = (h1 (e10)))); [idtac | apply NNPP; zenon_intro zenon_H683].
% 83.75/83.94 congruence.
% 83.75/83.94 cut (((op1 (e11) (e11)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H684].
% 83.75/83.94 congruence.
% 83.75/83.94 exact (zenon_H684 zenon_H177).
% 83.75/83.94 apply zenon_H682. apply refl_equal.
% 83.75/83.94 apply zenon_H682. apply refl_equal.
% 83.75/83.94 elim (classic ((op2 (h1 (e11)) (h1 (e11))) = (op2 (h1 (e11)) (h1 (e11))))); [ zenon_intro zenon_H685 | zenon_intro zenon_H686 ].
% 83.75/83.94 cut (((op2 (h1 (e11)) (h1 (e11))) = (op2 (h1 (e11)) (h1 (e11)))) = ((e20) = (op2 (h1 (e11)) (h1 (e11))))).
% 83.75/83.94 intro zenon_D_pnotp.
% 83.75/83.94 apply zenon_H67f.
% 83.75/83.94 rewrite <- zenon_D_pnotp.
% 83.75/83.94 exact zenon_H685.
% 83.75/83.94 cut (((op2 (h1 (e11)) (h1 (e11))) = (op2 (h1 (e11)) (h1 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H686].
% 83.75/83.94 cut (((op2 (h1 (e11)) (h1 (e11))) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H687].
% 83.75/83.94 congruence.
% 83.75/83.94 cut (((op2 (e21) (e21)) = (e20)) = ((op2 (h1 (e11)) (h1 (e11))) = (e20))).
% 83.75/83.94 intro zenon_D_pnotp.
% 83.75/83.94 apply zenon_H687.
% 83.75/83.94 rewrite <- zenon_D_pnotp.
% 83.75/83.94 exact zenon_Hd2.
% 83.75/83.94 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H60].
% 83.75/83.94 cut (((op2 (e21) (e21)) = (op2 (h1 (e11)) (h1 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H688].
% 83.75/83.94 congruence.
% 83.75/83.94 elim (classic ((op2 (h1 (e11)) (h1 (e11))) = (op2 (h1 (e11)) (h1 (e11))))); [ zenon_intro zenon_H685 | zenon_intro zenon_H686 ].
% 83.75/83.94 cut (((op2 (h1 (e11)) (h1 (e11))) = (op2 (h1 (e11)) (h1 (e11)))) = ((op2 (e21) (e21)) = (op2 (h1 (e11)) (h1 (e11))))).
% 83.75/83.94 intro zenon_D_pnotp.
% 83.75/83.94 apply zenon_H688.
% 83.75/83.94 rewrite <- zenon_D_pnotp.
% 83.75/83.94 exact zenon_H685.
% 83.75/83.94 cut (((op2 (h1 (e11)) (h1 (e11))) = (op2 (h1 (e11)) (h1 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H686].
% 83.75/83.94 cut (((op2 (h1 (e11)) (h1 (e11))) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H689].
% 83.75/83.94 congruence.
% 83.75/83.94 cut (((h1 (e11)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H1fc].
% 83.75/83.94 cut (((h1 (e11)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H1fc].
% 83.75/83.94 congruence.
% 83.75/83.94 apply (zenon_L130_); trivial.
% 83.75/83.94 apply (zenon_L130_); trivial.
% 83.75/83.94 apply zenon_H686. apply refl_equal.
% 83.75/83.94 apply zenon_H686. apply refl_equal.
% 83.75/83.94 apply zenon_H60. apply refl_equal.
% 83.75/83.94 apply zenon_H686. apply refl_equal.
% 83.75/83.94 apply zenon_H686. apply refl_equal.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H27b); [ zenon_intro zenon_H19b | zenon_intro zenon_H46 ].
% 83.75/83.94 apply (zenon_L181_); trivial.
% 83.75/83.94 apply (zenon_L13_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1d9 | zenon_intro zenon_H1ed ].
% 83.75/83.94 apply (zenon_L131_); trivial.
% 83.75/83.94 apply (zenon_L128_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H24 ].
% 83.75/83.94 apply (zenon_L4_); trivial.
% 83.75/83.94 apply (zenon_L5_); trivial.
% 83.75/83.94 (* end of lemma zenon_L967_ *)
% 83.75/83.94 assert (zenon_L968_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (op1 (e10) (e10))) = (e12))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((h1 (op1 (e11) (e11))) = (op2 (h1 (e11)) (h1 (e11))))) -> ((h1 (e10)) = (e20)) -> ((op2 (e21) (e21)) = (e20)) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 83.75/83.94 do 0 intro. intros zenon_H61 zenon_H220 zenon_H1f4 zenon_H1e4 zenon_H1e0 zenon_H1dc zenon_H1d4 zenon_H1d8 zenon_H1cf zenon_H1e8 zenon_H1f5 zenon_H45 zenon_H1b0 zenon_H1c2 zenon_H19a zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H67e zenon_H64 zenon_Hd2 zenon_H1fd zenon_H7a zenon_H1c8 zenon_H50 zenon_H56 zenon_H176 zenon_H1b9 zenon_H1ba zenon_H16d zenon_H187 zenon_H1b6 zenon_H18e zenon_H1ad zenon_H1a0 zenon_H1a5 zenon_H1a9 zenon_H3f zenon_H2e zenon_H1c9 zenon_H276 zenon_H200 zenon_H1ee zenon_H1f3 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ].
% 83.75/83.94 apply (zenon_L11_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ].
% 83.75/83.94 apply (zenon_L20_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ].
% 83.75/83.94 apply (zenon_L22_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ].
% 83.75/83.94 apply (zenon_L11_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ].
% 83.75/83.94 apply (zenon_L129_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ].
% 83.75/83.94 apply (zenon_L967_); trivial.
% 83.75/83.94 apply (zenon_L138_); trivial.
% 83.75/83.94 (* end of lemma zenon_L968_ *)
% 83.75/83.94 assert (zenon_L969_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e22) (e20)) = (e20)) -> (~((e20) = (e23))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> ((h1 (e10)) = (e20)) -> (~((h1 (op1 (e11) (e11))) = (op2 (h1 (e11)) (h1 (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (op1 (e10) (e10))) = (e12))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((e20) = (e22))) -> (~((e21) = (e22))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.75/83.94 do 0 intro. intros zenon_H15b zenon_Hd6 zenon_H21d zenon_H21e zenon_H48e zenon_H12f zenon_H134 zenon_H118 zenon_H112 zenon_H11b zenon_H129 zenon_H11f zenon_H12c zenon_H133 zenon_H141 zenon_H102 zenon_Hbc zenon_Hb2 zenon_Hc9 zenon_He8 zenon_Hff zenon_Hef zenon_Hf7 zenon_H13e zenon_Hba zenon_Hd1 zenon_H25 zenon_H14 zenon_H17 zenon_H1e zenon_H20d zenon_H163 zenon_H1bf zenon_H204 zenon_H2c zenon_H20a zenon_H16b zenon_H16 zenon_H173 zenon_H1f3 zenon_H1ee zenon_H200 zenon_H276 zenon_H1c9 zenon_H2e zenon_H3f zenon_H1a9 zenon_H1a5 zenon_H1a0 zenon_H1ad zenon_H18e zenon_H1b6 zenon_H187 zenon_H16d zenon_H1ba zenon_H1b9 zenon_H176 zenon_H56 zenon_H50 zenon_H1c8 zenon_H1fd zenon_H64 zenon_H67e zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H19a zenon_H1c2 zenon_H1b0 zenon_H45 zenon_H1f5 zenon_H1e8 zenon_H1cf zenon_H1d8 zenon_H1d4 zenon_H1dc zenon_H1e0 zenon_H1e4 zenon_H1f4 zenon_H220 zenon_H61 zenon_H14b zenon_H48b zenon_H140 zenon_Had zenon_H124 zenon_H142 zenon_Hdc zenon_Ha3 zenon_Ha8 zenon_Hce zenon_H91 zenon_H94 zenon_H14f zenon_H8e zenon_H73 zenon_H7c zenon_H82 zenon_H78 zenon_H15c zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.75/83.94 apply (zenon_L41_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.75/83.94 apply (zenon_L151_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.75/83.94 apply (zenon_L152_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ].
% 83.75/83.94 apply (zenon_L43_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ].
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ].
% 83.75/83.94 apply (zenon_L43_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ].
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H48e); [ zenon_intro zenon_Hab | zenon_intro zenon_H494 ].
% 83.75/83.94 apply (zenon_L82_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H494); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H495 ].
% 83.75/83.94 apply (zenon_L968_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H495); [ zenon_intro zenon_H120 | zenon_intro zenon_H74 ].
% 83.75/83.94 apply (zenon_L543_); trivial.
% 83.75/83.94 apply (zenon_L32_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ].
% 83.75/83.94 apply (zenon_L139_); trivial.
% 83.75/83.94 apply (zenon_L88_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ].
% 83.75/83.94 apply (zenon_L46_); trivial.
% 83.75/83.94 apply (zenon_L31_); trivial.
% 83.75/83.94 (* end of lemma zenon_L969_ *)
% 83.75/83.94 assert (zenon_L970_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> ((op1 (e12) (e10)) = (op1 (e10) (e12))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((h1 (op1 (e11) (e11))) = (op2 (h1 (e11)) (h1 (e11))))) -> ((h1 (e10)) = (e20)) -> ((op2 (e21) (e21)) = (e20)) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 83.75/83.94 do 0 intro. intros zenon_H61 zenon_H220 zenon_H245 zenon_H249 zenon_H1f5 zenon_H45 zenon_H1b0 zenon_H1c2 zenon_H19a zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H67e zenon_H64 zenon_Hd2 zenon_H1fd zenon_H7a zenon_H1c8 zenon_H50 zenon_H56 zenon_H176 zenon_H1b9 zenon_H1ba zenon_H16d zenon_H187 zenon_H1b6 zenon_H18e zenon_H1ad zenon_H1a0 zenon_H1a5 zenon_H1a9 zenon_H3f zenon_H2e zenon_H1c9 zenon_H276 zenon_H200 zenon_H1ee zenon_H1f3 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ].
% 83.75/83.94 apply (zenon_L11_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ].
% 83.75/83.94 apply (zenon_L20_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ].
% 83.75/83.94 apply (zenon_L22_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ].
% 83.75/83.94 apply (zenon_L11_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ].
% 83.75/83.94 apply (zenon_L154_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ].
% 83.75/83.94 apply (zenon_L967_); trivial.
% 83.75/83.94 apply (zenon_L138_); trivial.
% 83.75/83.94 (* end of lemma zenon_L970_ *)
% 83.75/83.94 assert (zenon_L971_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e22) (e20)) = (e20)) -> (~((e20) = (e23))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> ((h1 (e10)) = (e20)) -> (~((h1 (op1 (e11) (e11))) = (op2 (h1 (e11)) (h1 (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> ((op1 (e12) (e10)) = (op1 (e10) (e12))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((e20) = (e22))) -> (~((e21) = (e22))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.75/83.94 do 0 intro. intros zenon_H15b zenon_Hd6 zenon_H21d zenon_H21e zenon_H48e zenon_H12f zenon_H134 zenon_H118 zenon_H112 zenon_H11b zenon_H129 zenon_H11f zenon_H12c zenon_H133 zenon_H141 zenon_H102 zenon_Hbc zenon_Hb2 zenon_Hc9 zenon_He8 zenon_Hff zenon_Hef zenon_Hf7 zenon_H13e zenon_Hba zenon_Hd1 zenon_H25 zenon_H14 zenon_H17 zenon_H1e zenon_H20d zenon_H163 zenon_H1bf zenon_H204 zenon_H2c zenon_H20a zenon_H16b zenon_H16 zenon_H173 zenon_H1f3 zenon_H1ee zenon_H200 zenon_H276 zenon_H1c9 zenon_H2e zenon_H3f zenon_H1a9 zenon_H1a5 zenon_H1a0 zenon_H1ad zenon_H18e zenon_H1b6 zenon_H187 zenon_H16d zenon_H1ba zenon_H1b9 zenon_H176 zenon_H56 zenon_H50 zenon_H1c8 zenon_H1fd zenon_H64 zenon_H67e zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H19a zenon_H1c2 zenon_H1b0 zenon_H45 zenon_H1f5 zenon_H249 zenon_H245 zenon_H220 zenon_H61 zenon_H14b zenon_H48b zenon_H140 zenon_Had zenon_H124 zenon_H142 zenon_Hdc zenon_Ha3 zenon_Ha8 zenon_Hce zenon_H91 zenon_H94 zenon_H14f zenon_H8e zenon_H73 zenon_H7c zenon_H82 zenon_H78 zenon_H15c zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.75/83.94 apply (zenon_L41_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.75/83.94 apply (zenon_L151_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.75/83.94 apply (zenon_L152_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ].
% 83.75/83.94 apply (zenon_L43_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ].
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ].
% 83.75/83.94 apply (zenon_L43_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ].
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H48e); [ zenon_intro zenon_Hab | zenon_intro zenon_H494 ].
% 83.75/83.94 apply (zenon_L82_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H494); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H495 ].
% 83.75/83.94 apply (zenon_L970_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H495); [ zenon_intro zenon_H120 | zenon_intro zenon_H74 ].
% 83.75/83.94 apply (zenon_L543_); trivial.
% 83.75/83.94 apply (zenon_L32_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ].
% 83.75/83.94 apply (zenon_L139_); trivial.
% 83.75/83.94 apply (zenon_L88_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ].
% 83.75/83.94 apply (zenon_L46_); trivial.
% 83.75/83.94 apply (zenon_L31_); trivial.
% 83.75/83.94 (* end of lemma zenon_L971_ *)
% 83.75/83.94 assert (zenon_L972_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (op1 (e10) (e13))) = (e11))) -> (~((e12) = (e13))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e10)) = (op1 (e10) (e13))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((h1 (op1 (e11) (e11))) = (op2 (h1 (e11)) (h1 (e11))))) -> ((h1 (e10)) = (e20)) -> ((op2 (e21) (e21)) = (e20)) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 83.75/83.94 do 0 intro. intros zenon_H61 zenon_H220 zenon_H1f4 zenon_H24d zenon_H25a zenon_H256 zenon_H252 zenon_H253 zenon_H229 zenon_H1e4 zenon_H25d zenon_H1dc zenon_H1d4 zenon_H1d8 zenon_H1cf zenon_H1e8 zenon_H1f5 zenon_H45 zenon_H1b0 zenon_H1c2 zenon_H19a zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H67e zenon_H64 zenon_Hd2 zenon_H1fd zenon_H7a zenon_H1c8 zenon_H50 zenon_H56 zenon_H176 zenon_H1b9 zenon_H1ba zenon_H16d zenon_H187 zenon_H1b6 zenon_H18e zenon_H1ad zenon_H1a0 zenon_H1a5 zenon_H1a9 zenon_H3f zenon_H2e zenon_H1c9 zenon_H276 zenon_H200 zenon_H1ee zenon_H1f3 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ].
% 83.75/83.94 apply (zenon_L11_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ].
% 83.75/83.94 apply (zenon_L20_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ].
% 83.75/83.94 apply (zenon_L22_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ].
% 83.75/83.94 apply (zenon_L11_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ].
% 83.75/83.94 apply (zenon_L164_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ].
% 83.75/83.94 apply (zenon_L967_); trivial.
% 83.75/83.94 apply (zenon_L138_); trivial.
% 83.75/83.94 (* end of lemma zenon_L972_ *)
% 83.75/83.94 assert (zenon_L973_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e22) (e20)) = (e20)) -> (~((e20) = (e23))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> ((h1 (e10)) = (e20)) -> (~((h1 (op1 (e11) (e11))) = (op2 (h1 (e11)) (h1 (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e13) (e10)) = (op1 (e10) (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (op1 (e10) (e13))) = (e11))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((e20) = (e22))) -> (~((e21) = (e22))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.75/83.94 do 0 intro. intros zenon_H15b zenon_Hd6 zenon_H21d zenon_H21e zenon_H48e zenon_H12f zenon_H134 zenon_H118 zenon_H112 zenon_H11b zenon_H129 zenon_H11f zenon_H12c zenon_H133 zenon_H141 zenon_H102 zenon_Hbc zenon_Hb2 zenon_Hc9 zenon_He8 zenon_Hff zenon_Hef zenon_Hf7 zenon_H13e zenon_Hba zenon_Hd1 zenon_H25 zenon_H14 zenon_H17 zenon_H1e zenon_H20d zenon_H163 zenon_H1bf zenon_H204 zenon_H2c zenon_H20a zenon_H16b zenon_H16 zenon_H173 zenon_H1f3 zenon_H1ee zenon_H200 zenon_H276 zenon_H1c9 zenon_H2e zenon_H3f zenon_H1a9 zenon_H1a5 zenon_H1a0 zenon_H1ad zenon_H18e zenon_H1b6 zenon_H187 zenon_H16d zenon_H1ba zenon_H1b9 zenon_H176 zenon_H56 zenon_H50 zenon_H1c8 zenon_H1fd zenon_H64 zenon_H67e zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H19a zenon_H1c2 zenon_H1b0 zenon_H45 zenon_H1f5 zenon_H1e8 zenon_H1cf zenon_H1d8 zenon_H1d4 zenon_H1dc zenon_H25d zenon_H1e4 zenon_H229 zenon_H253 zenon_H252 zenon_H256 zenon_H25a zenon_H24d zenon_H1f4 zenon_H220 zenon_H61 zenon_H14b zenon_H48b zenon_H140 zenon_Had zenon_H124 zenon_H142 zenon_Hdc zenon_Ha3 zenon_Ha8 zenon_Hce zenon_H91 zenon_H94 zenon_H14f zenon_H8e zenon_H73 zenon_H7c zenon_H82 zenon_H78 zenon_H15c zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.75/83.94 apply (zenon_L41_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.75/83.94 apply (zenon_L151_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.75/83.94 apply (zenon_L152_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ].
% 83.75/83.94 apply (zenon_L43_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ].
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ].
% 83.75/83.94 apply (zenon_L43_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ].
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H48e); [ zenon_intro zenon_Hab | zenon_intro zenon_H494 ].
% 83.75/83.94 apply (zenon_L82_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H494); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H495 ].
% 83.75/83.94 apply (zenon_L972_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H495); [ zenon_intro zenon_H120 | zenon_intro zenon_H74 ].
% 83.75/83.94 apply (zenon_L543_); trivial.
% 83.75/83.94 apply (zenon_L32_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ].
% 83.75/83.94 apply (zenon_L139_); trivial.
% 83.75/83.94 apply (zenon_L88_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ].
% 83.75/83.94 apply (zenon_L46_); trivial.
% 83.75/83.94 apply (zenon_L31_); trivial.
% 83.75/83.94 (* end of lemma zenon_L973_ *)
% 83.75/83.94 assert (zenon_L974_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> ((op1 (e10) (e11)) = (op1 (e11) (e10))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((h1 (op1 (e11) (e11))) = (op2 (h1 (e11)) (h1 (e11))))) -> ((h1 (e10)) = (e20)) -> ((op2 (e21) (e21)) = (e20)) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 83.75/83.94 do 0 intro. intros zenon_H61 zenon_H220 zenon_H260 zenon_H230 zenon_H1f5 zenon_H45 zenon_H1b0 zenon_H1c2 zenon_H19a zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H67e zenon_H64 zenon_Hd2 zenon_H1fd zenon_H7a zenon_H1c8 zenon_H50 zenon_H56 zenon_H176 zenon_H1b9 zenon_H1ba zenon_H16d zenon_H187 zenon_H1b6 zenon_H18e zenon_H1ad zenon_H1a0 zenon_H1a5 zenon_H1a9 zenon_H3f zenon_H2e zenon_H1c9 zenon_H276 zenon_H200 zenon_H1ee zenon_H1f3 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ].
% 83.75/83.94 apply (zenon_L11_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ].
% 83.75/83.94 apply (zenon_L20_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ].
% 83.75/83.94 apply (zenon_L22_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ].
% 83.75/83.94 apply (zenon_L11_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ].
% 83.75/83.94 apply (zenon_L167_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ].
% 83.75/83.94 apply (zenon_L967_); trivial.
% 83.75/83.94 apply (zenon_L138_); trivial.
% 83.75/83.94 (* end of lemma zenon_L974_ *)
% 83.75/83.94 assert (zenon_L975_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e22) (e20)) = (e20)) -> (~((e20) = (e23))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> ((h1 (e10)) = (e20)) -> (~((h1 (op1 (e11) (e11))) = (op2 (h1 (e11)) (h1 (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e10) (e11)) = (op1 (e11) (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((e20) = (e22))) -> (~((e21) = (e22))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.75/83.94 do 0 intro. intros zenon_H15b zenon_Hd6 zenon_H21d zenon_H21e zenon_H48e zenon_H12f zenon_H134 zenon_H118 zenon_H112 zenon_H11b zenon_H129 zenon_H11f zenon_H12c zenon_H133 zenon_H141 zenon_H102 zenon_Hbc zenon_Hb2 zenon_Hc9 zenon_He8 zenon_Hff zenon_Hef zenon_Hf7 zenon_H13e zenon_Hba zenon_Hd1 zenon_H25 zenon_H14 zenon_H17 zenon_H1e zenon_H20d zenon_H163 zenon_H1bf zenon_H204 zenon_H2c zenon_H20a zenon_H16b zenon_H16 zenon_H173 zenon_H1f3 zenon_H1ee zenon_H200 zenon_H276 zenon_H1c9 zenon_H2e zenon_H3f zenon_H1a9 zenon_H1a5 zenon_H1a0 zenon_H1ad zenon_H18e zenon_H1b6 zenon_H187 zenon_H16d zenon_H1ba zenon_H1b9 zenon_H176 zenon_H56 zenon_H50 zenon_H1c8 zenon_H1fd zenon_H64 zenon_H67e zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H19a zenon_H1c2 zenon_H1b0 zenon_H45 zenon_H1f5 zenon_H230 zenon_H260 zenon_H220 zenon_H61 zenon_H14b zenon_H48b zenon_H140 zenon_Had zenon_H124 zenon_H142 zenon_Hdc zenon_Ha3 zenon_Ha8 zenon_Hce zenon_H91 zenon_H94 zenon_H14f zenon_H8e zenon_H73 zenon_H7c zenon_H82 zenon_H78 zenon_H15c zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.75/83.94 apply (zenon_L41_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.75/83.94 apply (zenon_L151_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.75/83.94 apply (zenon_L152_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ].
% 83.75/83.94 apply (zenon_L43_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ].
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ].
% 83.75/83.94 apply (zenon_L43_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ].
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H48e); [ zenon_intro zenon_Hab | zenon_intro zenon_H494 ].
% 83.75/83.94 apply (zenon_L82_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H494); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H495 ].
% 83.75/83.94 apply (zenon_L974_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H495); [ zenon_intro zenon_H120 | zenon_intro zenon_H74 ].
% 83.75/83.94 apply (zenon_L543_); trivial.
% 83.75/83.94 apply (zenon_L32_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ].
% 83.75/83.94 apply (zenon_L139_); trivial.
% 83.75/83.94 apply (zenon_L88_); trivial.
% 83.75/83.94 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ].
% 83.75/83.94 apply (zenon_L46_); trivial.
% 83.75/83.94 apply (zenon_L31_); trivial.
% 83.75/83.94 (* end of lemma zenon_L975_ *)
% 83.75/83.94 assert (zenon_L976_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (op1 (e11) (e11))) = (e11))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((h1 (op1 (e11) (e11))) = (op2 (h1 (e11)) (h1 (e11))))) -> ((h1 (e10)) = (e20)) -> ((op2 (e21) (e21)) = (e20)) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 83.75/83.95 do 0 intro. intros zenon_H61 zenon_H220 zenon_H1f4 zenon_H266 zenon_H1dc zenon_H1d4 zenon_H1d8 zenon_H1cf zenon_H1e8 zenon_H1f5 zenon_H45 zenon_H1b0 zenon_H1c2 zenon_H19a zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H67e zenon_H64 zenon_Hd2 zenon_H1fd zenon_H7a zenon_H1c8 zenon_H50 zenon_H56 zenon_H176 zenon_H1b9 zenon_H1ba zenon_H16d zenon_H187 zenon_H1b6 zenon_H18e zenon_H1ad zenon_H1a0 zenon_H1a5 zenon_H1a9 zenon_H3f zenon_H2e zenon_H1c9 zenon_H276 zenon_H200 zenon_H1ee zenon_H1f3 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25.
% 83.75/83.95 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ].
% 83.75/83.95 apply (zenon_L11_); trivial.
% 83.75/83.95 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ].
% 83.75/83.95 apply (zenon_L20_); trivial.
% 83.75/83.95 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ].
% 83.75/83.95 apply (zenon_L22_); trivial.
% 83.75/83.95 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ].
% 83.75/83.95 apply (zenon_L11_); trivial.
% 83.75/83.95 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ].
% 83.75/83.95 apply (zenon_L171_); trivial.
% 83.75/83.95 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ].
% 83.75/83.95 apply (zenon_L967_); trivial.
% 83.75/83.95 apply (zenon_L138_); trivial.
% 83.75/83.95 (* end of lemma zenon_L976_ *)
% 83.75/83.95 assert (zenon_L977_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e22) (e20)) = (e20)) -> (~((e20) = (e23))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> ((h1 (e10)) = (e20)) -> (~((h1 (op1 (e11) (e11))) = (op2 (h1 (e11)) (h1 (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (op1 (e11) (e11))) = (e11))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((e20) = (e22))) -> (~((e21) = (e22))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.75/83.95 do 0 intro. intros zenon_H15b zenon_Hd6 zenon_H21d zenon_H21e zenon_H48e zenon_H12f zenon_H134 zenon_H118 zenon_H112 zenon_H11b zenon_H129 zenon_H11f zenon_H12c zenon_H133 zenon_H141 zenon_H102 zenon_Hbc zenon_Hb2 zenon_Hc9 zenon_He8 zenon_Hff zenon_Hef zenon_Hf7 zenon_H13e zenon_Hba zenon_Hd1 zenon_H25 zenon_H14 zenon_H17 zenon_H1e zenon_H20d zenon_H163 zenon_H1bf zenon_H204 zenon_H2c zenon_H20a zenon_H16b zenon_H16 zenon_H173 zenon_H1f3 zenon_H1ee zenon_H200 zenon_H276 zenon_H1c9 zenon_H2e zenon_H3f zenon_H1a9 zenon_H1a5 zenon_H1a0 zenon_H1ad zenon_H18e zenon_H1b6 zenon_H187 zenon_H16d zenon_H1ba zenon_H1b9 zenon_H176 zenon_H56 zenon_H50 zenon_H1c8 zenon_H1fd zenon_H64 zenon_H67e zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H19a zenon_H1c2 zenon_H1b0 zenon_H45 zenon_H1f5 zenon_H1e8 zenon_H1cf zenon_H1d8 zenon_H1d4 zenon_H1dc zenon_H266 zenon_H1f4 zenon_H220 zenon_H61 zenon_H14b zenon_H48b zenon_H140 zenon_Had zenon_H124 zenon_H142 zenon_Hdc zenon_Ha3 zenon_Ha8 zenon_Hce zenon_H91 zenon_H94 zenon_H14f zenon_H8e zenon_H73 zenon_H7c zenon_H82 zenon_H78 zenon_H15c zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a.
% 83.75/83.95 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.75/83.95 apply (zenon_L41_); trivial.
% 83.75/83.95 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.75/83.95 apply (zenon_L151_); trivial.
% 83.75/83.95 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.75/83.95 apply (zenon_L152_); trivial.
% 83.75/83.95 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ].
% 83.75/83.95 apply (zenon_L43_); trivial.
% 83.75/83.95 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ].
% 83.75/83.95 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ].
% 83.75/83.95 apply (zenon_L43_); trivial.
% 83.75/83.95 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ].
% 83.75/83.95 apply (zenon_or_s _ _ zenon_H48e); [ zenon_intro zenon_Hab | zenon_intro zenon_H494 ].
% 83.75/83.95 apply (zenon_L82_); trivial.
% 83.75/83.95 apply (zenon_or_s _ _ zenon_H494); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H495 ].
% 83.75/83.95 apply (zenon_L976_); trivial.
% 83.75/83.95 apply (zenon_or_s _ _ zenon_H495); [ zenon_intro zenon_H120 | zenon_intro zenon_H74 ].
% 83.75/83.95 apply (zenon_L543_); trivial.
% 83.75/83.95 apply (zenon_L32_); trivial.
% 83.75/83.95 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ].
% 83.75/83.95 apply (zenon_L139_); trivial.
% 83.75/83.95 apply (zenon_L88_); trivial.
% 83.75/83.95 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ].
% 83.75/83.95 apply (zenon_L46_); trivial.
% 83.75/83.95 apply (zenon_L31_); trivial.
% 83.75/83.95 (* end of lemma zenon_L977_ *)
% 83.75/83.95 assert (zenon_L978_ : (~((h1 (e12)) = (e22))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((e22) = (op2 (e20) (e20))) -> False).
% 83.75/83.95 do 0 intro. intros zenon_H68a zenon_H68b zenon_H78.
% 83.75/83.95 cut (((h1 (e12)) = (op2 (e20) (e20))) = ((h1 (e12)) = (e22))).
% 83.75/83.95 intro zenon_D_pnotp.
% 83.75/83.95 apply zenon_H68a.
% 83.75/83.95 rewrite <- zenon_D_pnotp.
% 83.75/83.95 exact zenon_H68b.
% 83.75/83.95 cut (((op2 (e20) (e20)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H79].
% 83.75/83.95 cut (((h1 (e12)) = (h1 (e12)))); [idtac | apply NNPP; zenon_intro zenon_H68c].
% 83.75/83.95 congruence.
% 83.75/83.95 apply zenon_H68c. apply refl_equal.
% 83.75/83.95 apply zenon_H79. apply sym_equal. exact zenon_H78.
% 83.75/83.95 (* end of lemma zenon_L978_ *)
% 83.75/83.95 assert (zenon_L979_ : (~((h1 (op1 (e11) (e12))) = (op2 (h1 (e11)) (h1 (e12))))) -> ((op1 (e11) (e12)) = (e12)) -> ((op2 (e21) (e22)) = (e22)) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((e22) = (op2 (e20) (e20))) -> False).
% 83.75/83.95 do 0 intro. intros zenon_H68d zenon_H1a6 zenon_Hf8 zenon_H1fd zenon_H7a zenon_H68b zenon_H78.
% 83.75/83.95 cut (((h1 (e12)) = (op2 (e20) (e20))) = ((h1 (op1 (e11) (e12))) = (op2 (h1 (e11)) (h1 (e12))))).
% 83.75/83.95 intro zenon_D_pnotp.
% 83.75/83.95 apply zenon_H68d.
% 83.75/83.95 rewrite <- zenon_D_pnotp.
% 83.75/83.95 exact zenon_H68b.
% 83.75/83.95 cut (((op2 (e20) (e20)) = (op2 (h1 (e11)) (h1 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H68e].
% 83.75/83.95 cut (((h1 (e12)) = (h1 (op1 (e11) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H68f].
% 83.75/83.95 congruence.
% 83.75/83.95 elim (classic ((h1 (op1 (e11) (e12))) = (h1 (op1 (e11) (e12))))); [ zenon_intro zenon_H690 | zenon_intro zenon_H691 ].
% 83.75/83.95 cut (((h1 (op1 (e11) (e12))) = (h1 (op1 (e11) (e12)))) = ((h1 (e12)) = (h1 (op1 (e11) (e12))))).
% 83.75/83.95 intro zenon_D_pnotp.
% 83.75/83.95 apply zenon_H68f.
% 83.75/83.95 rewrite <- zenon_D_pnotp.
% 83.75/83.95 exact zenon_H690.
% 83.75/83.95 cut (((h1 (op1 (e11) (e12))) = (h1 (op1 (e11) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H691].
% 83.75/83.95 cut (((h1 (op1 (e11) (e12))) = (h1 (e12)))); [idtac | apply NNPP; zenon_intro zenon_H692].
% 83.75/83.95 congruence.
% 83.75/83.95 cut (((op1 (e11) (e12)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2a3].
% 83.75/83.95 congruence.
% 83.75/83.95 exact (zenon_H2a3 zenon_H1a6).
% 83.75/83.95 apply zenon_H691. apply refl_equal.
% 83.75/83.95 apply zenon_H691. apply refl_equal.
% 83.75/83.95 elim (classic ((op2 (h1 (e11)) (h1 (e12))) = (op2 (h1 (e11)) (h1 (e12))))); [ zenon_intro zenon_H693 | zenon_intro zenon_H694 ].
% 83.75/83.95 cut (((op2 (h1 (e11)) (h1 (e12))) = (op2 (h1 (e11)) (h1 (e12)))) = ((op2 (e20) (e20)) = (op2 (h1 (e11)) (h1 (e12))))).
% 83.75/83.95 intro zenon_D_pnotp.
% 83.75/83.95 apply zenon_H68e.
% 83.75/83.95 rewrite <- zenon_D_pnotp.
% 83.75/83.95 exact zenon_H693.
% 83.75/83.95 cut (((op2 (h1 (e11)) (h1 (e12))) = (op2 (h1 (e11)) (h1 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H694].
% 83.75/83.95 cut (((op2 (h1 (e11)) (h1 (e12))) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H695].
% 83.75/83.95 congruence.
% 83.75/83.95 cut (((op2 (e21) (e22)) = (e22)) = ((op2 (h1 (e11)) (h1 (e12))) = (op2 (e20) (e20)))).
% 83.75/83.95 intro zenon_D_pnotp.
% 83.75/83.95 apply zenon_H695.
% 83.75/83.95 rewrite <- zenon_D_pnotp.
% 83.75/83.95 exact zenon_Hf8.
% 83.75/83.95 cut (((e22) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H696].
% 83.75/83.95 cut (((op2 (e21) (e22)) = (op2 (h1 (e11)) (h1 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H697].
% 83.75/83.95 congruence.
% 83.75/83.95 elim (classic ((op2 (h1 (e11)) (h1 (e12))) = (op2 (h1 (e11)) (h1 (e12))))); [ zenon_intro zenon_H693 | zenon_intro zenon_H694 ].
% 83.75/83.95 cut (((op2 (h1 (e11)) (h1 (e12))) = (op2 (h1 (e11)) (h1 (e12)))) = ((op2 (e21) (e22)) = (op2 (h1 (e11)) (h1 (e12))))).
% 83.75/83.95 intro zenon_D_pnotp.
% 83.75/83.95 apply zenon_H697.
% 83.75/83.95 rewrite <- zenon_D_pnotp.
% 83.75/83.95 exact zenon_H693.
% 83.75/83.95 cut (((op2 (h1 (e11)) (h1 (e12))) = (op2 (h1 (e11)) (h1 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H694].
% 83.75/83.95 cut (((op2 (h1 (e11)) (h1 (e12))) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H698].
% 83.75/83.95 congruence.
% 83.75/83.95 cut (((h1 (e12)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H68a].
% 83.75/83.95 cut (((h1 (e11)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H1fc].
% 83.75/83.95 congruence.
% 83.75/83.95 apply (zenon_L130_); trivial.
% 83.75/83.95 apply (zenon_L978_); trivial.
% 83.75/83.95 apply zenon_H694. apply refl_equal.
% 83.75/83.95 apply zenon_H694. apply refl_equal.
% 83.75/83.95 exact (zenon_H696 zenon_H78).
% 83.75/83.95 apply zenon_H694. apply refl_equal.
% 83.75/83.95 apply zenon_H694. apply refl_equal.
% 83.75/83.95 (* end of lemma zenon_L979_ *)
% 83.75/83.95 assert (zenon_L980_ : (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e11) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((op1 (e12) (e10)) = (e10)) -> (~((e10) = (e13))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((e22) = (op2 (e20) (e20))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> ((op2 (e21) (e22)) = (e22)) -> (~((h1 (op1 (e11) (e12))) = (op2 (h1 (e11)) (h1 (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 83.75/83.95 do 0 intro. intros zenon_H173 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H1ee zenon_H20d zenon_H1ff zenon_H200 zenon_H256 zenon_H42 zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H1c2 zenon_H163 zenon_H1b0 zenon_H1d8 zenon_H1ad zenon_H19a zenon_H1a0 zenon_H78 zenon_H68b zenon_H7a zenon_H1fd zenon_Hf8 zenon_H68d zenon_H1a9 zenon_H16 zenon_H1f5 zenon_H1e zenon_H17 zenon_H14 zenon_H25.
% 83.75/83.95 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H18 | zenon_intro zenon_H174 ].
% 83.75/83.95 apply (zenon_L3_); trivial.
% 83.75/83.95 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H169 | zenon_intro zenon_H175 ].
% 83.75/83.95 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H18 | zenon_intro zenon_H1f8 ].
% 83.75/83.95 apply (zenon_L3_); trivial.
% 83.75/83.95 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1f9 ].
% 83.75/83.95 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H59 | zenon_intro zenon_H257 ].
% 83.75/83.95 apply (zenon_L21_); trivial.
% 83.75/83.95 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H19b | zenon_intro zenon_H258 ].
% 83.75/83.95 apply (zenon_L181_); trivial.
% 83.75/83.95 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H19c ].
% 83.75/83.95 apply (zenon_L182_); trivial.
% 83.75/83.95 apply (zenon_or_s _ _ zenon_H1ad); [ zenon_intro zenon_H19b | zenon_intro zenon_H1ae ].
% 83.75/83.95 apply (zenon_L104_); trivial.
% 83.75/83.95 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H19f | zenon_intro zenon_H1af ].
% 83.75/83.95 apply (zenon_L105_); trivial.
% 83.75/83.95 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1ab ].
% 83.75/83.95 apply (zenon_L979_); trivial.
% 83.75/83.95 apply (zenon_L107_); trivial.
% 83.75/83.95 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1d9 | zenon_intro zenon_H1ed ].
% 83.75/83.95 apply (zenon_L131_); trivial.
% 83.75/83.95 apply (zenon_L135_); trivial.
% 83.75/83.95 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H24 ].
% 83.75/83.95 apply (zenon_L4_); trivial.
% 83.75/83.95 apply (zenon_L5_); trivial.
% 83.75/83.95 (* end of lemma zenon_L980_ *)
% 83.75/83.95 assert (zenon_L981_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e21) (e20)) = (e23)) -> (~((e20) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((e20) = (e22))) -> ((op2 (e21) (e21)) = (e20)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((e22) = (op2 (e20) (e20))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> (~((h1 (op1 (e11) (e12))) = (op2 (h1 (e11)) (h1 (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((e11) = (e12))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e10) = (e12))) -> (~((op1 (e12) (op1 (e10) (e10))) = (e12))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((e21) = (e22))) -> False).
% 83.75/83.95 do 0 intro. intros zenon_H140 zenon_Hd6 zenon_Hd5 zenon_Had zenon_H124 zenon_H142 zenon_Hdc zenon_Ha3 zenon_Hd2 zenon_H25 zenon_H14 zenon_H17 zenon_H1e zenon_H20d zenon_H163 zenon_H1bf zenon_H204 zenon_H2c zenon_H20a zenon_H16b zenon_H16 zenon_H173 zenon_H1ee zenon_H200 zenon_H256 zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H1c2 zenon_H1b0 zenon_H1d8 zenon_H1ad zenon_H19a zenon_H1a0 zenon_H78 zenon_H68b zenon_H7a zenon_H1fd zenon_H68d zenon_H1a9 zenon_H1f5 zenon_H1f3 zenon_H1c8 zenon_H176 zenon_H1e8 zenon_H1cf zenon_H1a5 zenon_H187 zenon_H1d4 zenon_H1dc zenon_H2e zenon_H1c9 zenon_H1b6 zenon_H18e zenon_H3f zenon_H1e0 zenon_H1e4 zenon_H1f4 zenon_H50 zenon_H45 zenon_H56 zenon_H1b9 zenon_H1ba zenon_H16d zenon_H220 zenon_H61 zenon_Ha8.
% 83.75/83.95 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ].
% 83.75/83.95 apply (zenon_L52_); trivial.
% 83.75/83.95 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ].
% 83.75/83.95 apply (zenon_L536_); trivial.
% 83.75/83.95 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ].
% 83.75/83.95 apply (zenon_L71_); trivial.
% 83.75/83.95 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 83.75/83.95 apply (zenon_L53_); trivial.
% 83.75/83.95 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_He2 | zenon_intro zenon_H146 ].
% 83.75/83.95 apply (zenon_L537_); trivial.
% 83.75/83.95 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H130 ].
% 83.75/83.95 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ].
% 83.75/83.95 apply (zenon_L11_); trivial.
% 83.75/83.95 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ].
% 83.75/83.95 apply (zenon_L20_); trivial.
% 83.75/83.95 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ].
% 83.75/83.95 apply (zenon_L22_); trivial.
% 83.75/83.95 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ].
% 83.75/83.95 apply (zenon_L11_); trivial.
% 83.75/83.95 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ].
% 83.75/83.95 apply (zenon_L129_); trivial.
% 83.75/83.95 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ].
% 83.75/83.95 apply (zenon_L980_); trivial.
% 83.75/83.95 apply (zenon_L138_); trivial.
% 83.75/83.95 apply (zenon_L77_); trivial.
% 83.75/83.95 (* end of lemma zenon_L981_ *)
% 83.75/83.95 assert (zenon_L982_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e22) (e20)) = (e20)) -> (~((e20) = (e23))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (op1 (e10) (e10))) = (e12))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((e11) = (e12))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((h1 (op1 (e11) (e12))) = (op2 (h1 (e11)) (h1 (e12))))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((e20) = (e22))) -> (~((e21) = (e22))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.75/83.95 do 0 intro. intros zenon_H15b zenon_Hd6 zenon_H21d zenon_H21e zenon_H48e zenon_H12f zenon_H134 zenon_H118 zenon_H112 zenon_H11b zenon_H129 zenon_H11f zenon_H12c zenon_H133 zenon_H141 zenon_H102 zenon_Hbc zenon_Hb2 zenon_Hc9 zenon_He8 zenon_Hff zenon_Hef zenon_Hf7 zenon_H13e zenon_Hba zenon_Hd1 zenon_H61 zenon_H220 zenon_H16d zenon_H1ba zenon_H1b9 zenon_H56 zenon_H45 zenon_H50 zenon_H1f4 zenon_H1e4 zenon_H1e0 zenon_H3f zenon_H18e zenon_H1b6 zenon_H1c9 zenon_H2e zenon_H1dc zenon_H1d4 zenon_H187 zenon_H1a5 zenon_H1cf zenon_H1e8 zenon_H176 zenon_H1c8 zenon_H1f3 zenon_H1f5 zenon_H1a9 zenon_H68d zenon_H1fd zenon_H68b zenon_H1a0 zenon_H19a zenon_H1ad zenon_H1d8 zenon_H1b0 zenon_H1c2 zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H256 zenon_H200 zenon_H1ee zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25 zenon_H14b zenon_H48b zenon_H140 zenon_Had zenon_H124 zenon_H142 zenon_Hdc zenon_Ha3 zenon_Ha8 zenon_Hce zenon_H91 zenon_H94 zenon_H14f zenon_H8e zenon_H73 zenon_H7c zenon_H82 zenon_H78 zenon_H15c zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a.
% 83.75/83.95 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.75/83.95 apply (zenon_L41_); trivial.
% 83.75/83.95 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.75/83.95 apply (zenon_L151_); trivial.
% 83.75/83.95 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.75/83.95 apply (zenon_L152_); trivial.
% 83.75/83.95 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ].
% 83.75/83.95 apply (zenon_L43_); trivial.
% 83.75/83.95 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ].
% 83.75/83.95 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ].
% 83.75/83.95 apply (zenon_L43_); trivial.
% 83.75/83.95 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ].
% 83.75/83.95 apply (zenon_or_s _ _ zenon_H48e); [ zenon_intro zenon_Hab | zenon_intro zenon_H494 ].
% 83.75/83.95 apply (zenon_L82_); trivial.
% 83.75/83.95 apply (zenon_or_s _ _ zenon_H494); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H495 ].
% 83.75/83.95 apply (zenon_L981_); trivial.
% 83.75/83.95 apply (zenon_or_s _ _ zenon_H495); [ zenon_intro zenon_H120 | zenon_intro zenon_H74 ].
% 83.75/83.95 apply (zenon_L543_); trivial.
% 83.75/83.95 apply (zenon_L32_); trivial.
% 83.75/83.95 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ].
% 83.75/83.95 apply (zenon_L139_); trivial.
% 83.75/83.95 apply (zenon_L88_); trivial.
% 83.75/83.95 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ].
% 83.75/83.95 apply (zenon_L46_); trivial.
% 83.75/83.95 apply (zenon_L31_); trivial.
% 83.75/83.95 (* end of lemma zenon_L982_ *)
% 83.75/83.95 assert (zenon_L983_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e21) (e20)) = (e23)) -> (~((e20) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((e20) = (e22))) -> ((op2 (e21) (e21)) = (e20)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((e22) = (op2 (e20) (e20))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> (~((h1 (op1 (e11) (e12))) = (op2 (h1 (e11)) (h1 (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> ((op1 (e12) (e10)) = (op1 (e10) (e12))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((e11) = (e12))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e10) = (e12))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((e21) = (e22))) -> False).
% 83.75/83.95 do 0 intro. intros zenon_H140 zenon_Hd6 zenon_Hd5 zenon_Had zenon_H124 zenon_H142 zenon_Hdc zenon_Ha3 zenon_Hd2 zenon_H25 zenon_H14 zenon_H17 zenon_H1e zenon_H20d zenon_H163 zenon_H1bf zenon_H204 zenon_H2c zenon_H20a zenon_H16b zenon_H16 zenon_H173 zenon_H1ee zenon_H200 zenon_H256 zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H1c2 zenon_H1b0 zenon_H1d8 zenon_H1ad zenon_H19a zenon_H1a0 zenon_H78 zenon_H68b zenon_H7a zenon_H1fd zenon_H68d zenon_H1a9 zenon_H1f5 zenon_H249 zenon_H245 zenon_H16d zenon_H2e zenon_H1f3 zenon_H3f zenon_H220 zenon_H56 zenon_H45 zenon_H50 zenon_H61 zenon_Ha8.
% 83.75/83.95 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ].
% 83.75/83.95 apply (zenon_L52_); trivial.
% 83.75/83.95 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ].
% 83.75/83.95 apply (zenon_L536_); trivial.
% 83.75/83.95 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ].
% 83.75/83.95 apply (zenon_L71_); trivial.
% 83.75/83.95 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 83.75/83.95 apply (zenon_L53_); trivial.
% 83.75/83.95 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_He2 | zenon_intro zenon_H146 ].
% 83.75/83.95 apply (zenon_L537_); trivial.
% 83.75/83.95 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H130 ].
% 83.75/83.95 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ].
% 83.75/83.95 apply (zenon_L11_); trivial.
% 83.75/83.95 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ].
% 83.75/83.95 apply (zenon_L20_); trivial.
% 83.75/83.95 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ].
% 83.75/83.95 apply (zenon_L22_); trivial.
% 83.75/83.95 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ].
% 83.75/83.95 apply (zenon_L11_); trivial.
% 83.75/83.95 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ].
% 83.75/83.95 apply (zenon_L154_); trivial.
% 83.75/83.95 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ].
% 83.75/83.95 apply (zenon_L980_); trivial.
% 83.75/83.95 apply (zenon_L138_); trivial.
% 83.75/83.95 apply (zenon_L77_); trivial.
% 83.75/83.95 (* end of lemma zenon_L983_ *)
% 83.75/83.95 assert (zenon_L984_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e22) (e20)) = (e20)) -> (~((e20) = (e23))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((e10) = (e12))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e11) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e12) (e10)) = (op1 (e10) (e12))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((h1 (op1 (e11) (e12))) = (op2 (h1 (e11)) (h1 (e12))))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((e20) = (e22))) -> (~((e21) = (e22))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.75/83.95 do 0 intro. intros zenon_H15b zenon_Hd6 zenon_H21d zenon_H21e zenon_H48e zenon_H12f zenon_H134 zenon_H118 zenon_H112 zenon_H11b zenon_H129 zenon_H11f zenon_H12c zenon_H133 zenon_H141 zenon_H102 zenon_Hbc zenon_Hb2 zenon_Hc9 zenon_He8 zenon_Hff zenon_Hef zenon_Hf7 zenon_H13e zenon_Hba zenon_Hd1 zenon_H61 zenon_H50 zenon_H45 zenon_H56 zenon_H220 zenon_H3f zenon_H1f3 zenon_H2e zenon_H16d zenon_H245 zenon_H249 zenon_H1f5 zenon_H1a9 zenon_H68d zenon_H1fd zenon_H68b zenon_H1a0 zenon_H19a zenon_H1ad zenon_H1d8 zenon_H1b0 zenon_H1c2 zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H256 zenon_H200 zenon_H1ee zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25 zenon_H14b zenon_H48b zenon_H140 zenon_Had zenon_H124 zenon_H142 zenon_Hdc zenon_Ha3 zenon_Ha8 zenon_Hce zenon_H91 zenon_H94 zenon_H14f zenon_H8e zenon_H73 zenon_H7c zenon_H82 zenon_H78 zenon_H15c zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a.
% 83.75/83.95 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.75/83.95 apply (zenon_L41_); trivial.
% 83.75/83.95 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.75/83.95 apply (zenon_L151_); trivial.
% 83.75/83.95 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.75/83.95 apply (zenon_L152_); trivial.
% 83.75/83.95 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ].
% 83.75/83.95 apply (zenon_L43_); trivial.
% 83.75/83.95 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ].
% 83.75/83.95 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ].
% 83.75/83.95 apply (zenon_L43_); trivial.
% 83.75/83.95 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ].
% 83.75/83.95 apply (zenon_or_s _ _ zenon_H48e); [ zenon_intro zenon_Hab | zenon_intro zenon_H494 ].
% 83.75/83.95 apply (zenon_L82_); trivial.
% 83.75/83.95 apply (zenon_or_s _ _ zenon_H494); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H495 ].
% 83.75/83.95 apply (zenon_L983_); trivial.
% 83.75/83.95 apply (zenon_or_s _ _ zenon_H495); [ zenon_intro zenon_H120 | zenon_intro zenon_H74 ].
% 83.75/83.95 apply (zenon_L543_); trivial.
% 83.75/83.95 apply (zenon_L32_); trivial.
% 83.75/83.95 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ].
% 83.75/83.95 apply (zenon_L139_); trivial.
% 83.75/83.95 apply (zenon_L88_); trivial.
% 83.75/83.95 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ].
% 83.75/83.95 apply (zenon_L46_); trivial.
% 83.75/83.95 apply (zenon_L31_); trivial.
% 83.75/83.95 (* end of lemma zenon_L984_ *)
% 83.75/83.95 assert (zenon_L985_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e21) (e20)) = (e23)) -> (~((e20) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((e20) = (e22))) -> ((op2 (e21) (e21)) = (e20)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((e22) = (op2 (e20) (e20))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> (~((h1 (op1 (e11) (e12))) = (op2 (h1 (e11)) (h1 (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((e11) = (e12))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e13) (e10)) = (op1 (e10) (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e12) = (e13))) -> (~((op1 (e11) (op1 (e10) (e13))) = (e11))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((e21) = (e22))) -> False).
% 83.75/83.95 do 0 intro. intros zenon_H140 zenon_Hd6 zenon_Hd5 zenon_Had zenon_H124 zenon_H142 zenon_Hdc zenon_Ha3 zenon_Hd2 zenon_H25 zenon_H14 zenon_H17 zenon_H1e zenon_H20d zenon_H163 zenon_H1bf zenon_H204 zenon_H2c zenon_H20a zenon_H16b zenon_H16 zenon_H173 zenon_H1ee zenon_H200 zenon_H256 zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H1c2 zenon_H1b0 zenon_H1d8 zenon_H1ad zenon_H19a zenon_H1a0 zenon_H78 zenon_H68b zenon_H7a zenon_H1fd zenon_H68d zenon_H1a9 zenon_H1f5 zenon_H1f3 zenon_H1c8 zenon_H176 zenon_H1e8 zenon_H1cf zenon_H1a5 zenon_H187 zenon_H1d4 zenon_H1dc zenon_H2e zenon_H1c9 zenon_H1b9 zenon_H25d zenon_H1e4 zenon_H3f zenon_H18e zenon_H1b6 zenon_H229 zenon_H253 zenon_H252 zenon_H25a zenon_H24d zenon_H1f4 zenon_H50 zenon_H45 zenon_H56 zenon_H1ba zenon_H16d zenon_H220 zenon_H61 zenon_Ha8.
% 83.75/83.95 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ].
% 83.75/83.95 apply (zenon_L52_); trivial.
% 83.75/83.95 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ].
% 83.75/83.95 apply (zenon_L536_); trivial.
% 83.75/83.95 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ].
% 83.75/83.95 apply (zenon_L71_); trivial.
% 83.75/83.95 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 83.75/83.95 apply (zenon_L53_); trivial.
% 83.75/83.95 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_He2 | zenon_intro zenon_H146 ].
% 83.75/83.95 apply (zenon_L537_); trivial.
% 83.75/83.95 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H130 ].
% 83.75/83.95 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ].
% 83.75/83.95 apply (zenon_L11_); trivial.
% 83.75/83.95 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ].
% 83.75/83.95 apply (zenon_L20_); trivial.
% 83.75/83.95 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ].
% 83.75/83.95 apply (zenon_L22_); trivial.
% 83.75/83.95 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ].
% 83.75/83.95 apply (zenon_L11_); trivial.
% 83.75/83.95 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ].
% 83.75/83.95 apply (zenon_L164_); trivial.
% 83.75/83.95 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ].
% 83.75/83.95 apply (zenon_L980_); trivial.
% 83.75/83.95 apply (zenon_L138_); trivial.
% 83.75/83.95 apply (zenon_L77_); trivial.
% 83.75/83.95 (* end of lemma zenon_L985_ *)
% 83.75/83.95 assert (zenon_L986_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e22) (e20)) = (e20)) -> (~((e20) = (e23))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (op1 (e10) (e13))) = (e11))) -> (~((e12) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e10)) = (op1 (e10) (e13))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((e11) = (e12))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((h1 (op1 (e11) (e12))) = (op2 (h1 (e11)) (h1 (e12))))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((e20) = (e22))) -> (~((e21) = (e22))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.75/83.96 do 0 intro. intros zenon_H15b zenon_Hd6 zenon_H21d zenon_H21e zenon_H48e zenon_H12f zenon_H134 zenon_H118 zenon_H112 zenon_H11b zenon_H129 zenon_H11f zenon_H12c zenon_H133 zenon_H141 zenon_H102 zenon_Hbc zenon_Hb2 zenon_Hc9 zenon_He8 zenon_Hff zenon_Hef zenon_Hf7 zenon_H13e zenon_Hba zenon_Hd1 zenon_H61 zenon_H220 zenon_H16d zenon_H1ba zenon_H56 zenon_H45 zenon_H50 zenon_H1f4 zenon_H24d zenon_H25a zenon_H252 zenon_H253 zenon_H229 zenon_H1b6 zenon_H18e zenon_H3f zenon_H1e4 zenon_H25d zenon_H1b9 zenon_H1c9 zenon_H2e zenon_H1dc zenon_H1d4 zenon_H187 zenon_H1a5 zenon_H1cf zenon_H1e8 zenon_H176 zenon_H1c8 zenon_H1f3 zenon_H1f5 zenon_H1a9 zenon_H68d zenon_H1fd zenon_H68b zenon_H1a0 zenon_H19a zenon_H1ad zenon_H1d8 zenon_H1b0 zenon_H1c2 zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H256 zenon_H200 zenon_H1ee zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25 zenon_H14b zenon_H48b zenon_H140 zenon_Had zenon_H124 zenon_H142 zenon_Hdc zenon_Ha3 zenon_Ha8 zenon_Hce zenon_H91 zenon_H94 zenon_H14f zenon_H8e zenon_H73 zenon_H7c zenon_H82 zenon_H78 zenon_H15c zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a.
% 83.75/83.96 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.75/83.96 apply (zenon_L41_); trivial.
% 83.75/83.96 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.75/83.96 apply (zenon_L151_); trivial.
% 83.75/83.96 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.75/83.96 apply (zenon_L152_); trivial.
% 83.75/83.96 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ].
% 83.75/83.96 apply (zenon_L43_); trivial.
% 83.75/83.96 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ].
% 83.75/83.96 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ].
% 83.75/83.96 apply (zenon_L43_); trivial.
% 83.75/83.96 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ].
% 83.75/83.96 apply (zenon_or_s _ _ zenon_H48e); [ zenon_intro zenon_Hab | zenon_intro zenon_H494 ].
% 83.75/83.96 apply (zenon_L82_); trivial.
% 83.75/83.96 apply (zenon_or_s _ _ zenon_H494); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H495 ].
% 83.75/83.96 apply (zenon_L985_); trivial.
% 83.75/83.96 apply (zenon_or_s _ _ zenon_H495); [ zenon_intro zenon_H120 | zenon_intro zenon_H74 ].
% 83.75/83.96 apply (zenon_L543_); trivial.
% 83.75/83.96 apply (zenon_L32_); trivial.
% 83.75/83.96 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ].
% 83.75/83.96 apply (zenon_L139_); trivial.
% 83.75/83.96 apply (zenon_L88_); trivial.
% 83.75/83.96 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ].
% 83.75/83.96 apply (zenon_L46_); trivial.
% 83.75/83.96 apply (zenon_L31_); trivial.
% 83.75/83.96 (* end of lemma zenon_L986_ *)
% 83.75/83.96 assert (zenon_L987_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e21) (e20)) = (e23)) -> (~((e20) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((e20) = (e22))) -> ((op2 (e21) (e21)) = (e20)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((e22) = (op2 (e20) (e20))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> (~((h1 (op1 (e11) (e12))) = (op2 (h1 (e11)) (h1 (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e10) (e11)) = (op1 (e11) (e10))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((e10) = (e12))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((e21) = (e22))) -> False).
% 83.75/83.96 do 0 intro. intros zenon_H140 zenon_Hd6 zenon_Hd5 zenon_Had zenon_H124 zenon_H142 zenon_Hdc zenon_Ha3 zenon_Hd2 zenon_H25 zenon_H14 zenon_H17 zenon_H1e zenon_H20d zenon_H163 zenon_H1bf zenon_H204 zenon_H2c zenon_H20a zenon_H16b zenon_H16 zenon_H173 zenon_H1ee zenon_H200 zenon_H256 zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H1c2 zenon_H1b0 zenon_H1d8 zenon_H1ad zenon_H19a zenon_H1a0 zenon_H78 zenon_H68b zenon_H7a zenon_H1fd zenon_H68d zenon_H1a9 zenon_H1f5 zenon_H230 zenon_H260 zenon_H176 zenon_H1c8 zenon_H3f zenon_H220 zenon_H56 zenon_H45 zenon_H50 zenon_H61 zenon_Ha8.
% 83.75/83.96 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ].
% 83.75/83.96 apply (zenon_L52_); trivial.
% 83.75/83.96 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ].
% 83.75/83.96 apply (zenon_L536_); trivial.
% 83.75/83.96 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ].
% 83.75/83.96 apply (zenon_L71_); trivial.
% 83.75/83.96 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 83.75/83.96 apply (zenon_L53_); trivial.
% 83.75/83.96 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_He2 | zenon_intro zenon_H146 ].
% 83.75/83.96 apply (zenon_L537_); trivial.
% 83.75/83.96 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H130 ].
% 83.75/83.96 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ].
% 83.75/83.96 apply (zenon_L11_); trivial.
% 83.75/83.96 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ].
% 83.75/83.96 apply (zenon_L20_); trivial.
% 83.75/83.96 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ].
% 83.75/83.96 apply (zenon_L22_); trivial.
% 83.75/83.96 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ].
% 83.75/83.96 apply (zenon_L11_); trivial.
% 83.75/83.96 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ].
% 83.75/83.96 apply (zenon_L167_); trivial.
% 83.75/83.96 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ].
% 83.75/83.96 apply (zenon_L980_); trivial.
% 83.75/83.96 apply (zenon_L138_); trivial.
% 83.75/83.96 apply (zenon_L77_); trivial.
% 83.75/83.96 (* end of lemma zenon_L987_ *)
% 83.75/83.96 assert (zenon_L988_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e22) (e20)) = (e20)) -> (~((e20) = (e23))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((e10) = (e12))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e10) (e11)) = (op1 (e11) (e10))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((h1 (op1 (e11) (e12))) = (op2 (h1 (e11)) (h1 (e12))))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((e20) = (e22))) -> (~((e21) = (e22))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.75/83.96 do 0 intro. intros zenon_H15b zenon_Hd6 zenon_H21d zenon_H21e zenon_H48e zenon_H12f zenon_H134 zenon_H118 zenon_H112 zenon_H11b zenon_H129 zenon_H11f zenon_H12c zenon_H133 zenon_H141 zenon_H102 zenon_Hbc zenon_Hb2 zenon_Hc9 zenon_He8 zenon_Hff zenon_Hef zenon_Hf7 zenon_H13e zenon_Hba zenon_Hd1 zenon_H61 zenon_H50 zenon_H45 zenon_H56 zenon_H220 zenon_H3f zenon_H1c8 zenon_H176 zenon_H260 zenon_H230 zenon_H1f5 zenon_H1a9 zenon_H68d zenon_H1fd zenon_H68b zenon_H1a0 zenon_H19a zenon_H1ad zenon_H1d8 zenon_H1b0 zenon_H1c2 zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H256 zenon_H200 zenon_H1ee zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25 zenon_H14b zenon_H48b zenon_H140 zenon_Had zenon_H124 zenon_H142 zenon_Hdc zenon_Ha3 zenon_Ha8 zenon_Hce zenon_H91 zenon_H94 zenon_H14f zenon_H8e zenon_H73 zenon_H7c zenon_H82 zenon_H78 zenon_H15c zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a.
% 83.75/83.96 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.75/83.96 apply (zenon_L41_); trivial.
% 83.75/83.96 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.75/83.96 apply (zenon_L151_); trivial.
% 83.75/83.96 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.75/83.96 apply (zenon_L152_); trivial.
% 83.75/83.96 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ].
% 83.75/83.96 apply (zenon_L43_); trivial.
% 83.75/83.96 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ].
% 83.75/83.96 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ].
% 83.75/83.96 apply (zenon_L43_); trivial.
% 83.75/83.96 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ].
% 83.75/83.96 apply (zenon_or_s _ _ zenon_H48e); [ zenon_intro zenon_Hab | zenon_intro zenon_H494 ].
% 83.75/83.96 apply (zenon_L82_); trivial.
% 83.75/83.96 apply (zenon_or_s _ _ zenon_H494); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H495 ].
% 83.75/83.96 apply (zenon_L987_); trivial.
% 83.75/83.96 apply (zenon_or_s _ _ zenon_H495); [ zenon_intro zenon_H120 | zenon_intro zenon_H74 ].
% 83.75/83.96 apply (zenon_L543_); trivial.
% 83.75/83.96 apply (zenon_L32_); trivial.
% 83.75/83.96 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ].
% 83.75/83.96 apply (zenon_L139_); trivial.
% 83.75/83.96 apply (zenon_L88_); trivial.
% 83.75/83.96 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ].
% 83.75/83.96 apply (zenon_L46_); trivial.
% 83.75/83.96 apply (zenon_L31_); trivial.
% 83.75/83.96 (* end of lemma zenon_L988_ *)
% 83.75/83.96 assert (zenon_L989_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e21) (e20)) = (e23)) -> (~((e20) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((e20) = (e22))) -> ((op2 (e21) (e21)) = (e20)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((e22) = (op2 (e20) (e20))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> (~((h1 (op1 (e11) (e12))) = (op2 (h1 (e11)) (h1 (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((e11) = (e12))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e11) (op1 (e11) (e11))) = (e11))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((e21) = (e22))) -> False).
% 83.75/83.96 do 0 intro. intros zenon_H140 zenon_Hd6 zenon_Hd5 zenon_Had zenon_H124 zenon_H142 zenon_Hdc zenon_Ha3 zenon_Hd2 zenon_H25 zenon_H14 zenon_H17 zenon_H1e zenon_H20d zenon_H163 zenon_H1bf zenon_H204 zenon_H2c zenon_H20a zenon_H16b zenon_H16 zenon_H173 zenon_H1ee zenon_H200 zenon_H256 zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H1c2 zenon_H1b0 zenon_H1d8 zenon_H1ad zenon_H19a zenon_H1a0 zenon_H78 zenon_H68b zenon_H7a zenon_H1fd zenon_H68d zenon_H1a9 zenon_H1f5 zenon_H1f3 zenon_H1c8 zenon_H176 zenon_H1e8 zenon_H1cf zenon_H1a5 zenon_H187 zenon_H1d4 zenon_H1dc zenon_H2e zenon_H1c9 zenon_H266 zenon_H1f4 zenon_H50 zenon_H45 zenon_H56 zenon_H1b9 zenon_H1ba zenon_H16d zenon_H1b6 zenon_H18e zenon_H3f zenon_H220 zenon_H61 zenon_Ha8.
% 83.75/83.96 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ].
% 83.75/83.96 apply (zenon_L52_); trivial.
% 83.75/83.96 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ].
% 83.75/83.96 apply (zenon_L536_); trivial.
% 83.75/83.96 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ].
% 83.75/83.96 apply (zenon_L71_); trivial.
% 83.75/83.96 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 83.75/83.96 apply (zenon_L53_); trivial.
% 83.75/83.96 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_He2 | zenon_intro zenon_H146 ].
% 83.75/83.96 apply (zenon_L537_); trivial.
% 83.75/83.96 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H130 ].
% 83.75/83.96 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ].
% 83.75/83.96 apply (zenon_L11_); trivial.
% 83.75/83.96 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ].
% 83.75/83.96 apply (zenon_L20_); trivial.
% 83.75/83.96 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ].
% 83.75/83.96 apply (zenon_L22_); trivial.
% 83.75/83.96 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ].
% 83.75/83.96 apply (zenon_L11_); trivial.
% 83.75/83.96 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ].
% 83.75/83.96 apply (zenon_L171_); trivial.
% 83.75/83.96 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ].
% 83.75/83.96 apply (zenon_L980_); trivial.
% 83.75/83.96 apply (zenon_L138_); trivial.
% 83.75/83.96 apply (zenon_L77_); trivial.
% 83.75/83.96 (* end of lemma zenon_L989_ *)
% 83.75/83.96 assert (zenon_L990_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e22) (e20)) = (e20)) -> (~((e20) = (e23))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (op1 (e11) (e11))) = (e11))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((e11) = (e12))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((h1 (op1 (e11) (e12))) = (op2 (h1 (e11)) (h1 (e12))))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((e20) = (e22))) -> (~((e21) = (e22))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.75/83.96 do 0 intro. intros zenon_H15b zenon_Hd6 zenon_H21d zenon_H21e zenon_H48e zenon_H12f zenon_H134 zenon_H118 zenon_H112 zenon_H11b zenon_H129 zenon_H11f zenon_H12c zenon_H133 zenon_H141 zenon_H102 zenon_Hbc zenon_Hb2 zenon_Hc9 zenon_He8 zenon_Hff zenon_Hef zenon_Hf7 zenon_H13e zenon_Hba zenon_Hd1 zenon_H61 zenon_H220 zenon_H3f zenon_H18e zenon_H1b6 zenon_H16d zenon_H1ba zenon_H1b9 zenon_H56 zenon_H45 zenon_H50 zenon_H1f4 zenon_H266 zenon_H1c9 zenon_H2e zenon_H1dc zenon_H1d4 zenon_H187 zenon_H1a5 zenon_H1cf zenon_H1e8 zenon_H176 zenon_H1c8 zenon_H1f3 zenon_H1f5 zenon_H1a9 zenon_H68d zenon_H1fd zenon_H68b zenon_H1a0 zenon_H19a zenon_H1ad zenon_H1d8 zenon_H1b0 zenon_H1c2 zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H256 zenon_H200 zenon_H1ee zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25 zenon_H14b zenon_H48b zenon_H140 zenon_Had zenon_H124 zenon_H142 zenon_Hdc zenon_Ha3 zenon_Ha8 zenon_Hce zenon_H91 zenon_H94 zenon_H14f zenon_H8e zenon_H73 zenon_H7c zenon_H82 zenon_H78 zenon_H15c zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a.
% 83.75/83.96 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.75/83.96 apply (zenon_L41_); trivial.
% 83.75/83.96 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.75/83.96 apply (zenon_L151_); trivial.
% 83.75/83.96 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.75/83.96 apply (zenon_L152_); trivial.
% 83.75/83.96 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ].
% 83.75/83.96 apply (zenon_L43_); trivial.
% 83.75/83.96 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ].
% 83.75/83.96 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ].
% 83.75/83.96 apply (zenon_L43_); trivial.
% 83.75/83.96 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ].
% 83.75/83.96 apply (zenon_or_s _ _ zenon_H48e); [ zenon_intro zenon_Hab | zenon_intro zenon_H494 ].
% 83.75/83.96 apply (zenon_L82_); trivial.
% 83.75/83.96 apply (zenon_or_s _ _ zenon_H494); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H495 ].
% 83.75/83.96 apply (zenon_L989_); trivial.
% 83.75/83.96 apply (zenon_or_s _ _ zenon_H495); [ zenon_intro zenon_H120 | zenon_intro zenon_H74 ].
% 83.75/83.96 apply (zenon_L543_); trivial.
% 83.75/83.96 apply (zenon_L32_); trivial.
% 83.75/83.96 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ].
% 83.75/83.96 apply (zenon_L139_); trivial.
% 83.75/83.96 apply (zenon_L88_); trivial.
% 83.75/83.96 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ].
% 83.75/83.96 apply (zenon_L46_); trivial.
% 83.75/83.96 apply (zenon_L31_); trivial.
% 83.75/83.96 (* end of lemma zenon_L990_ *)
% 83.75/83.96 assert (zenon_L991_ : (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e11) = (e13))) -> ((op1 (e12) (e10)) = (e10)) -> (~((e10) = (e13))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> ((op2 (e21) (e23)) = (e21)) -> (~((h1 (op1 (e11) (e13))) = (op2 (h1 (e11)) (h1 (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e10) (e13)) = (e10)) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 83.75/83.96 do 0 intro. intros zenon_H1f3 zenon_H173 zenon_H1ee zenon_H1ff zenon_H200 zenon_H276 zenon_H1c9 zenon_H2e zenon_H3f zenon_H1a9 zenon_H1a5 zenon_H1ad zenon_H18e zenon_H1b6 zenon_H187 zenon_H16d zenon_H1ba zenon_H16 zenon_H1b9 zenon_H176 zenon_H56 zenon_H50 zenon_H1c8 zenon_H5d zenon_H5c zenon_H7a zenon_H1fd zenon_H13c zenon_H699 zenon_H1a0 zenon_H1f4 zenon_H2c zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H19a zenon_H1c2 zenon_H20d zenon_H163 zenon_H1bf zenon_H204 zenon_H20a zenon_H16b zenon_H1b0 zenon_H45 zenon_H42 zenon_H1f5 zenon_H1e zenon_H17 zenon_H14 zenon_H25.
% 83.75/83.96 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H2d | zenon_intro zenon_H1f6 ].
% 83.75/83.96 apply (zenon_L7_); trivial.
% 83.75/83.96 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H162 | zenon_intro zenon_H1f7 ].
% 83.75/83.96 apply (zenon_L178_); trivial.
% 83.75/83.96 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H16c | zenon_intro zenon_H195 ].
% 83.75/83.96 apply (zenon_L179_); trivial.
% 83.75/83.96 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H18 | zenon_intro zenon_H174 ].
% 83.75/83.96 apply (zenon_L3_); trivial.
% 83.75/83.96 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H169 | zenon_intro zenon_H175 ].
% 83.75/83.96 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H18 | zenon_intro zenon_H1f8 ].
% 83.75/83.96 apply (zenon_L3_); trivial.
% 83.75/83.96 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1f9 ].
% 83.75/83.96 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_H161 | zenon_intro zenon_H27a ].
% 83.75/83.96 apply (zenon_L115_); trivial.
% 83.75/83.96 apply (zenon_or_s _ _ zenon_H27a); [ zenon_intro zenon_H177 | zenon_intro zenon_H27b ].
% 83.75/83.96 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H162 | zenon_intro zenon_H1fa ].
% 83.75/83.96 apply (zenon_L177_); trivial.
% 83.75/83.96 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H17e | zenon_intro zenon_H1fb ].
% 83.75/83.96 apply (zenon_L180_); trivial.
% 83.75/83.96 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H19f | zenon_intro zenon_H1eb ].
% 83.75/83.96 apply (zenon_L105_); trivial.
% 83.75/83.96 cut (((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) = ((h1 (op1 (e11) (e13))) = (op2 (h1 (e11)) (h1 (e13))))).
% 83.75/83.96 intro zenon_D_pnotp.
% 83.75/83.96 apply zenon_H699.
% 83.75/83.96 rewrite <- zenon_D_pnotp.
% 83.75/83.96 exact zenon_H1fd.
% 83.75/83.96 cut (((op2 (e20) (op2 (e20) (e20))) = (op2 (h1 (e11)) (h1 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H69a].
% 83.75/83.96 cut (((h1 (e11)) = (h1 (op1 (e11) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H69b].
% 83.75/83.96 congruence.
% 83.75/83.96 elim (classic ((h1 (op1 (e11) (e13))) = (h1 (op1 (e11) (e13))))); [ zenon_intro zenon_H69c | zenon_intro zenon_H69d ].
% 83.75/83.96 cut (((h1 (op1 (e11) (e13))) = (h1 (op1 (e11) (e13)))) = ((h1 (e11)) = (h1 (op1 (e11) (e13))))).
% 83.75/83.96 intro zenon_D_pnotp.
% 83.75/83.96 apply zenon_H69b.
% 83.75/83.96 rewrite <- zenon_D_pnotp.
% 83.75/83.96 exact zenon_H69c.
% 83.75/83.96 cut (((h1 (op1 (e11) (e13))) = (h1 (op1 (e11) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H69d].
% 83.75/83.96 cut (((h1 (op1 (e11) (e13))) = (h1 (e11)))); [idtac | apply NNPP; zenon_intro zenon_H69e].
% 83.75/83.96 congruence.
% 83.75/83.96 cut (((op1 (e11) (e13)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H69f].
% 83.75/83.96 congruence.
% 83.75/83.96 exact (zenon_H69f zenon_H1eb).
% 83.75/83.96 apply zenon_H69d. apply refl_equal.
% 83.75/83.96 apply zenon_H69d. apply refl_equal.
% 83.75/83.96 elim (classic ((op2 (h1 (e11)) (h1 (e13))) = (op2 (h1 (e11)) (h1 (e13))))); [ zenon_intro zenon_H6a0 | zenon_intro zenon_H6a1 ].
% 83.75/83.96 cut (((op2 (h1 (e11)) (h1 (e13))) = (op2 (h1 (e11)) (h1 (e13)))) = ((op2 (e20) (op2 (e20) (e20))) = (op2 (h1 (e11)) (h1 (e13))))).
% 83.75/83.96 intro zenon_D_pnotp.
% 83.75/83.96 apply zenon_H69a.
% 83.75/83.96 rewrite <- zenon_D_pnotp.
% 83.75/83.96 exact zenon_H6a0.
% 83.75/83.96 cut (((op2 (h1 (e11)) (h1 (e13))) = (op2 (h1 (e11)) (h1 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H6a1].
% 83.75/83.96 cut (((op2 (h1 (e11)) (h1 (e13))) = (op2 (e20) (op2 (e20) (e20))))); [idtac | apply NNPP; zenon_intro zenon_H6a2].
% 83.75/83.96 congruence.
% 83.75/83.96 cut (((op2 (e21) (e23)) = (e21)) = ((op2 (h1 (e11)) (h1 (e13))) = (op2 (e20) (op2 (e20) (e20))))).
% 83.75/83.96 intro zenon_D_pnotp.
% 83.75/83.96 apply zenon_H6a2.
% 83.75/83.96 rewrite <- zenon_D_pnotp.
% 83.75/83.96 exact zenon_H13c.
% 83.75/83.96 cut (((e21) = (op2 (e20) (op2 (e20) (e20))))); [idtac | apply NNPP; zenon_intro zenon_H6a3].
% 83.75/83.96 cut (((op2 (e21) (e23)) = (op2 (h1 (e11)) (h1 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H6a4].
% 83.75/83.96 congruence.
% 83.75/83.96 elim (classic ((op2 (h1 (e11)) (h1 (e13))) = (op2 (h1 (e11)) (h1 (e13))))); [ zenon_intro zenon_H6a0 | zenon_intro zenon_H6a1 ].
% 83.75/83.96 cut (((op2 (h1 (e11)) (h1 (e13))) = (op2 (h1 (e11)) (h1 (e13)))) = ((op2 (e21) (e23)) = (op2 (h1 (e11)) (h1 (e13))))).
% 83.75/83.96 intro zenon_D_pnotp.
% 83.75/83.96 apply zenon_H6a4.
% 83.75/83.96 rewrite <- zenon_D_pnotp.
% 83.75/83.96 exact zenon_H6a0.
% 83.75/83.96 cut (((op2 (h1 (e11)) (h1 (e13))) = (op2 (h1 (e11)) (h1 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H6a1].
% 83.75/83.96 cut (((op2 (h1 (e11)) (h1 (e13))) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H6a5].
% 83.75/83.96 congruence.
% 83.75/83.96 cut (((h1 (e13)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H5b].
% 83.75/83.96 cut (((h1 (e11)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H1fc].
% 83.75/83.96 congruence.
% 83.75/83.96 apply (zenon_L130_); trivial.
% 83.75/83.96 apply (zenon_L23_); trivial.
% 83.75/83.96 apply zenon_H6a1. apply refl_equal.
% 83.75/83.96 apply zenon_H6a1. apply refl_equal.
% 83.75/83.96 exact (zenon_H6a3 zenon_H7a).
% 83.75/83.96 apply zenon_H6a1. apply refl_equal.
% 83.75/83.96 apply zenon_H6a1. apply refl_equal.
% 83.75/83.96 apply (zenon_or_s _ _ zenon_H27b); [ zenon_intro zenon_H19b | zenon_intro zenon_H46 ].
% 83.75/83.96 apply (zenon_L181_); trivial.
% 83.75/83.96 apply (zenon_L13_); trivial.
% 83.75/83.96 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1d9 | zenon_intro zenon_H1ed ].
% 83.75/83.96 apply (zenon_L131_); trivial.
% 83.75/83.96 apply (zenon_L128_); trivial.
% 83.75/83.96 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H24 ].
% 83.75/83.96 apply (zenon_L4_); trivial.
% 83.75/83.96 apply (zenon_L5_); trivial.
% 83.75/83.96 (* end of lemma zenon_L991_ *)
% 83.75/83.96 assert (zenon_L992_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e21) (e20)) = (e23)) -> (~((e20) = (e21))) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (op1 (e10) (e10))) = (e12))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((h1 (op1 (e11) (e13))) = (op2 (h1 (e11)) (h1 (e13))))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 83.75/83.96 do 0 intro. intros zenon_H140 zenon_Hd6 zenon_Hd5 zenon_Had zenon_Hd2 zenon_H124 zenon_H78 zenon_H61 zenon_H220 zenon_H1e4 zenon_H1e0 zenon_H1dc zenon_H1d4 zenon_H1d8 zenon_H1cf zenon_H1e8 zenon_H1f5 zenon_H45 zenon_H1b0 zenon_H1c2 zenon_H19a zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H1f4 zenon_H1a0 zenon_H699 zenon_H1fd zenon_H7a zenon_H5c zenon_H5d zenon_H1c8 zenon_H50 zenon_H56 zenon_H176 zenon_H1b9 zenon_H1ba zenon_H16d zenon_H187 zenon_H1b6 zenon_H18e zenon_H1ad zenon_H1a5 zenon_H1a9 zenon_H3f zenon_H2e zenon_H1c9 zenon_H276 zenon_H200 zenon_H1ee zenon_H1f3 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25.
% 83.75/83.96 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ].
% 83.75/83.96 apply (zenon_L52_); trivial.
% 83.75/83.96 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ].
% 83.75/83.96 apply (zenon_L536_); trivial.
% 83.75/83.96 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ].
% 83.75/83.96 apply (zenon_L71_); trivial.
% 83.75/83.96 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ].
% 83.75/83.96 apply (zenon_L11_); trivial.
% 83.75/83.96 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ].
% 83.75/83.96 apply (zenon_L20_); trivial.
% 83.75/83.96 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ].
% 83.75/83.96 apply (zenon_L22_); trivial.
% 83.75/83.96 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ].
% 83.75/83.96 apply (zenon_L11_); trivial.
% 83.75/83.96 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ].
% 83.75/83.96 apply (zenon_L129_); trivial.
% 83.75/83.96 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ].
% 83.75/83.96 apply (zenon_L991_); trivial.
% 83.75/83.96 apply (zenon_L138_); trivial.
% 83.75/83.96 (* end of lemma zenon_L992_ *)
% 83.75/83.96 assert (zenon_L993_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e22) (e20)) = (e20)) -> (~((e20) = (e23))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> (~((h1 (op1 (e11) (e13))) = (op2 (h1 (e11)) (h1 (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (op1 (e10) (e10))) = (e12))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((e20) = (e22))) -> (~((e21) = (e22))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.75/83.96 do 0 intro. intros zenon_H15b zenon_Hd6 zenon_H21d zenon_H21e zenon_H48e zenon_H12f zenon_H134 zenon_H118 zenon_H112 zenon_H11b zenon_H129 zenon_H11f zenon_H12c zenon_H133 zenon_H141 zenon_H102 zenon_Hbc zenon_Hb2 zenon_Hc9 zenon_He8 zenon_Hff zenon_Hef zenon_Hf7 zenon_H13e zenon_Hba zenon_Hd1 zenon_H25 zenon_H14 zenon_H17 zenon_H1e zenon_H20d zenon_H163 zenon_H1bf zenon_H204 zenon_H2c zenon_H20a zenon_H16b zenon_H16 zenon_H173 zenon_H1f3 zenon_H1ee zenon_H200 zenon_H276 zenon_H1c9 zenon_H2e zenon_H3f zenon_H1a9 zenon_H1a5 zenon_H1ad zenon_H18e zenon_H1b6 zenon_H187 zenon_H16d zenon_H1ba zenon_H1b9 zenon_H176 zenon_H56 zenon_H50 zenon_H1c8 zenon_H5c zenon_H1fd zenon_H699 zenon_H1a0 zenon_H1f4 zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H19a zenon_H1c2 zenon_H1b0 zenon_H45 zenon_H1f5 zenon_H1e8 zenon_H1cf zenon_H1d8 zenon_H1d4 zenon_H1dc zenon_H1e0 zenon_H1e4 zenon_H220 zenon_H61 zenon_H14b zenon_H48b zenon_H140 zenon_Had zenon_H124 zenon_H142 zenon_Hdc zenon_Ha3 zenon_Ha8 zenon_Hce zenon_H91 zenon_H94 zenon_H14f zenon_H8e zenon_H73 zenon_H7c zenon_H82 zenon_H78 zenon_H15c zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a.
% 83.75/83.96 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.75/83.96 apply (zenon_L41_); trivial.
% 83.75/83.96 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.75/83.96 apply (zenon_L151_); trivial.
% 83.75/83.96 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.75/83.96 apply (zenon_L152_); trivial.
% 83.75/83.96 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ].
% 83.75/83.96 apply (zenon_L43_); trivial.
% 83.75/83.96 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ].
% 83.75/83.96 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ].
% 83.75/83.96 apply (zenon_L43_); trivial.
% 83.75/83.96 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ].
% 83.75/83.96 apply (zenon_or_s _ _ zenon_H48e); [ zenon_intro zenon_Hab | zenon_intro zenon_H494 ].
% 83.75/83.96 apply (zenon_L82_); trivial.
% 83.75/83.96 apply (zenon_or_s _ _ zenon_H494); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H495 ].
% 83.75/83.96 apply (zenon_L992_); trivial.
% 83.75/83.96 apply (zenon_or_s _ _ zenon_H495); [ zenon_intro zenon_H120 | zenon_intro zenon_H74 ].
% 83.75/83.96 apply (zenon_L543_); trivial.
% 83.75/83.96 apply (zenon_L32_); trivial.
% 83.75/83.96 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ].
% 83.75/83.96 apply (zenon_L139_); trivial.
% 83.75/83.96 apply (zenon_L88_); trivial.
% 83.75/83.96 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ].
% 83.75/83.96 apply (zenon_L46_); trivial.
% 83.75/83.96 apply (zenon_L31_); trivial.
% 83.75/83.96 (* end of lemma zenon_L993_ *)
% 83.75/83.96 assert (zenon_L994_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e21) (e20)) = (e23)) -> (~((e20) = (e21))) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> ((op1 (e12) (e10)) = (op1 (e10) (e12))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((h1 (op1 (e11) (e13))) = (op2 (h1 (e11)) (h1 (e13))))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 83.75/83.97 do 0 intro. intros zenon_H140 zenon_Hd6 zenon_Hd5 zenon_Had zenon_Hd2 zenon_H124 zenon_H78 zenon_H61 zenon_H220 zenon_H245 zenon_H249 zenon_H1f5 zenon_H45 zenon_H1b0 zenon_H1c2 zenon_H19a zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H1f4 zenon_H1a0 zenon_H699 zenon_H1fd zenon_H7a zenon_H5c zenon_H5d zenon_H1c8 zenon_H50 zenon_H56 zenon_H176 zenon_H1b9 zenon_H1ba zenon_H16d zenon_H187 zenon_H1b6 zenon_H18e zenon_H1ad zenon_H1a5 zenon_H1a9 zenon_H3f zenon_H2e zenon_H1c9 zenon_H276 zenon_H200 zenon_H1ee zenon_H1f3 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ].
% 83.75/83.97 apply (zenon_L52_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ].
% 83.75/83.97 apply (zenon_L536_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ].
% 83.75/83.97 apply (zenon_L71_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ].
% 83.75/83.97 apply (zenon_L11_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ].
% 83.75/83.97 apply (zenon_L20_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ].
% 83.75/83.97 apply (zenon_L22_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ].
% 83.75/83.97 apply (zenon_L11_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ].
% 83.75/83.97 apply (zenon_L154_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ].
% 83.75/83.97 apply (zenon_L991_); trivial.
% 83.75/83.97 apply (zenon_L138_); trivial.
% 83.75/83.97 (* end of lemma zenon_L994_ *)
% 83.75/83.97 assert (zenon_L995_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e22) (e20)) = (e20)) -> (~((e20) = (e23))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> (~((h1 (op1 (e11) (e13))) = (op2 (h1 (e11)) (h1 (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> ((op1 (e12) (e10)) = (op1 (e10) (e12))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((e20) = (e22))) -> (~((e21) = (e22))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.75/83.97 do 0 intro. intros zenon_H15b zenon_Hd6 zenon_H21d zenon_H21e zenon_H48e zenon_H12f zenon_H134 zenon_H118 zenon_H112 zenon_H11b zenon_H129 zenon_H11f zenon_H12c zenon_H133 zenon_H141 zenon_H102 zenon_Hbc zenon_Hb2 zenon_Hc9 zenon_He8 zenon_Hff zenon_Hef zenon_Hf7 zenon_H13e zenon_Hba zenon_Hd1 zenon_H25 zenon_H14 zenon_H17 zenon_H1e zenon_H20d zenon_H163 zenon_H1bf zenon_H204 zenon_H2c zenon_H20a zenon_H16b zenon_H16 zenon_H173 zenon_H1f3 zenon_H1ee zenon_H200 zenon_H276 zenon_H1c9 zenon_H2e zenon_H3f zenon_H1a9 zenon_H1a5 zenon_H1ad zenon_H18e zenon_H1b6 zenon_H187 zenon_H16d zenon_H1ba zenon_H1b9 zenon_H176 zenon_H56 zenon_H50 zenon_H1c8 zenon_H5c zenon_H1fd zenon_H699 zenon_H1a0 zenon_H1f4 zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H19a zenon_H1c2 zenon_H1b0 zenon_H45 zenon_H1f5 zenon_H249 zenon_H245 zenon_H220 zenon_H61 zenon_H14b zenon_H48b zenon_H140 zenon_Had zenon_H124 zenon_H142 zenon_Hdc zenon_Ha3 zenon_Ha8 zenon_Hce zenon_H91 zenon_H94 zenon_H14f zenon_H8e zenon_H73 zenon_H7c zenon_H82 zenon_H78 zenon_H15c zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.75/83.97 apply (zenon_L41_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.75/83.97 apply (zenon_L151_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.75/83.97 apply (zenon_L152_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ].
% 83.75/83.97 apply (zenon_L43_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ].
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ].
% 83.75/83.97 apply (zenon_L43_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ].
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H48e); [ zenon_intro zenon_Hab | zenon_intro zenon_H494 ].
% 83.75/83.97 apply (zenon_L82_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H494); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H495 ].
% 83.75/83.97 apply (zenon_L994_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H495); [ zenon_intro zenon_H120 | zenon_intro zenon_H74 ].
% 83.75/83.97 apply (zenon_L543_); trivial.
% 83.75/83.97 apply (zenon_L32_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ].
% 83.75/83.97 apply (zenon_L139_); trivial.
% 83.75/83.97 apply (zenon_L88_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ].
% 83.75/83.97 apply (zenon_L46_); trivial.
% 83.75/83.97 apply (zenon_L31_); trivial.
% 83.75/83.97 (* end of lemma zenon_L995_ *)
% 83.75/83.97 assert (zenon_L996_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e21) (e20)) = (e23)) -> (~((e20) = (e21))) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e11) (op1 (e10) (e13))) = (e11))) -> (~((e12) = (e13))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e10)) = (op1 (e10) (e13))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((h1 (op1 (e11) (e13))) = (op2 (h1 (e11)) (h1 (e13))))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 83.75/83.97 do 0 intro. intros zenon_H140 zenon_Hd6 zenon_Hd5 zenon_Had zenon_Hd2 zenon_H124 zenon_H78 zenon_H61 zenon_H220 zenon_H24d zenon_H25a zenon_H256 zenon_H252 zenon_H253 zenon_H229 zenon_H1e4 zenon_H25d zenon_H1dc zenon_H1d4 zenon_H1d8 zenon_H1cf zenon_H1e8 zenon_H1f5 zenon_H45 zenon_H1b0 zenon_H1c2 zenon_H19a zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H1f4 zenon_H1a0 zenon_H699 zenon_H1fd zenon_H7a zenon_H5c zenon_H5d zenon_H1c8 zenon_H50 zenon_H56 zenon_H176 zenon_H1b9 zenon_H1ba zenon_H16d zenon_H187 zenon_H1b6 zenon_H18e zenon_H1ad zenon_H1a5 zenon_H1a9 zenon_H3f zenon_H2e zenon_H1c9 zenon_H276 zenon_H200 zenon_H1ee zenon_H1f3 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ].
% 83.75/83.97 apply (zenon_L52_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ].
% 83.75/83.97 apply (zenon_L536_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ].
% 83.75/83.97 apply (zenon_L71_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ].
% 83.75/83.97 apply (zenon_L11_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ].
% 83.75/83.97 apply (zenon_L20_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ].
% 83.75/83.97 apply (zenon_L22_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ].
% 83.75/83.97 apply (zenon_L11_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ].
% 83.75/83.97 apply (zenon_L164_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ].
% 83.75/83.97 apply (zenon_L991_); trivial.
% 83.75/83.97 apply (zenon_L138_); trivial.
% 83.75/83.97 (* end of lemma zenon_L996_ *)
% 83.75/83.97 assert (zenon_L997_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e22) (e20)) = (e20)) -> (~((e20) = (e23))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> (~((h1 (op1 (e11) (e13))) = (op2 (h1 (e11)) (h1 (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e13) (e10)) = (op1 (e10) (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (op1 (e10) (e13))) = (e11))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((e20) = (e22))) -> (~((e21) = (e22))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.75/83.97 do 0 intro. intros zenon_H15b zenon_Hd6 zenon_H21d zenon_H21e zenon_H48e zenon_H12f zenon_H134 zenon_H118 zenon_H112 zenon_H11b zenon_H129 zenon_H11f zenon_H12c zenon_H133 zenon_H141 zenon_H102 zenon_Hbc zenon_Hb2 zenon_Hc9 zenon_He8 zenon_Hff zenon_Hef zenon_Hf7 zenon_H13e zenon_Hba zenon_Hd1 zenon_H25 zenon_H14 zenon_H17 zenon_H1e zenon_H20d zenon_H163 zenon_H1bf zenon_H204 zenon_H2c zenon_H20a zenon_H16b zenon_H16 zenon_H173 zenon_H1f3 zenon_H1ee zenon_H200 zenon_H276 zenon_H1c9 zenon_H2e zenon_H3f zenon_H1a9 zenon_H1a5 zenon_H1ad zenon_H18e zenon_H1b6 zenon_H187 zenon_H16d zenon_H1ba zenon_H1b9 zenon_H176 zenon_H56 zenon_H50 zenon_H1c8 zenon_H5c zenon_H1fd zenon_H699 zenon_H1a0 zenon_H1f4 zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H19a zenon_H1c2 zenon_H1b0 zenon_H45 zenon_H1f5 zenon_H1e8 zenon_H1cf zenon_H1d8 zenon_H1d4 zenon_H1dc zenon_H25d zenon_H1e4 zenon_H229 zenon_H253 zenon_H252 zenon_H256 zenon_H25a zenon_H24d zenon_H220 zenon_H61 zenon_H14b zenon_H48b zenon_H140 zenon_Had zenon_H124 zenon_H142 zenon_Hdc zenon_Ha3 zenon_Ha8 zenon_Hce zenon_H91 zenon_H94 zenon_H14f zenon_H8e zenon_H73 zenon_H7c zenon_H82 zenon_H78 zenon_H15c zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.75/83.97 apply (zenon_L41_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.75/83.97 apply (zenon_L151_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.75/83.97 apply (zenon_L152_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ].
% 83.75/83.97 apply (zenon_L43_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ].
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ].
% 83.75/83.97 apply (zenon_L43_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ].
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H48e); [ zenon_intro zenon_Hab | zenon_intro zenon_H494 ].
% 83.75/83.97 apply (zenon_L82_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H494); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H495 ].
% 83.75/83.97 apply (zenon_L996_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H495); [ zenon_intro zenon_H120 | zenon_intro zenon_H74 ].
% 83.75/83.97 apply (zenon_L543_); trivial.
% 83.75/83.97 apply (zenon_L32_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ].
% 83.75/83.97 apply (zenon_L139_); trivial.
% 83.75/83.97 apply (zenon_L88_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ].
% 83.75/83.97 apply (zenon_L46_); trivial.
% 83.75/83.97 apply (zenon_L31_); trivial.
% 83.75/83.97 (* end of lemma zenon_L997_ *)
% 83.75/83.97 assert (zenon_L998_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e21) (e20)) = (e23)) -> (~((e20) = (e21))) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> ((op1 (e10) (e11)) = (op1 (e11) (e10))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((h1 (op1 (e11) (e13))) = (op2 (h1 (e11)) (h1 (e13))))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 83.75/83.97 do 0 intro. intros zenon_H140 zenon_Hd6 zenon_Hd5 zenon_Had zenon_Hd2 zenon_H124 zenon_H78 zenon_H61 zenon_H220 zenon_H260 zenon_H230 zenon_H1f5 zenon_H45 zenon_H1b0 zenon_H1c2 zenon_H19a zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H1f4 zenon_H1a0 zenon_H699 zenon_H1fd zenon_H7a zenon_H5c zenon_H5d zenon_H1c8 zenon_H50 zenon_H56 zenon_H176 zenon_H1b9 zenon_H1ba zenon_H16d zenon_H187 zenon_H1b6 zenon_H18e zenon_H1ad zenon_H1a5 zenon_H1a9 zenon_H3f zenon_H2e zenon_H1c9 zenon_H276 zenon_H200 zenon_H1ee zenon_H1f3 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ].
% 83.75/83.97 apply (zenon_L52_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ].
% 83.75/83.97 apply (zenon_L536_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ].
% 83.75/83.97 apply (zenon_L71_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ].
% 83.75/83.97 apply (zenon_L11_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ].
% 83.75/83.97 apply (zenon_L20_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ].
% 83.75/83.97 apply (zenon_L22_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ].
% 83.75/83.97 apply (zenon_L11_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ].
% 83.75/83.97 apply (zenon_L167_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ].
% 83.75/83.97 apply (zenon_L991_); trivial.
% 83.75/83.97 apply (zenon_L138_); trivial.
% 83.75/83.97 (* end of lemma zenon_L998_ *)
% 83.75/83.97 assert (zenon_L999_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e22) (e20)) = (e20)) -> (~((e20) = (e23))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> (~((h1 (op1 (e11) (e13))) = (op2 (h1 (e11)) (h1 (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e10) (e11)) = (op1 (e11) (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((e20) = (e22))) -> (~((e21) = (e22))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.75/83.97 do 0 intro. intros zenon_H15b zenon_Hd6 zenon_H21d zenon_H21e zenon_H48e zenon_H12f zenon_H134 zenon_H118 zenon_H112 zenon_H11b zenon_H129 zenon_H11f zenon_H12c zenon_H133 zenon_H141 zenon_H102 zenon_Hbc zenon_Hb2 zenon_Hc9 zenon_He8 zenon_Hff zenon_Hef zenon_Hf7 zenon_H13e zenon_Hba zenon_Hd1 zenon_H25 zenon_H14 zenon_H17 zenon_H1e zenon_H20d zenon_H163 zenon_H1bf zenon_H204 zenon_H2c zenon_H20a zenon_H16b zenon_H16 zenon_H173 zenon_H1f3 zenon_H1ee zenon_H200 zenon_H276 zenon_H1c9 zenon_H2e zenon_H3f zenon_H1a9 zenon_H1a5 zenon_H1ad zenon_H18e zenon_H1b6 zenon_H187 zenon_H16d zenon_H1ba zenon_H1b9 zenon_H176 zenon_H56 zenon_H50 zenon_H1c8 zenon_H5c zenon_H1fd zenon_H699 zenon_H1a0 zenon_H1f4 zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H19a zenon_H1c2 zenon_H1b0 zenon_H45 zenon_H1f5 zenon_H230 zenon_H260 zenon_H220 zenon_H61 zenon_H14b zenon_H48b zenon_H140 zenon_Had zenon_H124 zenon_H142 zenon_Hdc zenon_Ha3 zenon_Ha8 zenon_Hce zenon_H91 zenon_H94 zenon_H14f zenon_H8e zenon_H73 zenon_H7c zenon_H82 zenon_H78 zenon_H15c zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.75/83.97 apply (zenon_L41_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.75/83.97 apply (zenon_L151_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.75/83.97 apply (zenon_L47_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ].
% 83.75/83.97 apply (zenon_L43_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ].
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ].
% 83.75/83.97 apply (zenon_L43_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ].
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H48e); [ zenon_intro zenon_Hab | zenon_intro zenon_H494 ].
% 83.75/83.97 apply (zenon_L82_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H494); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H495 ].
% 83.75/83.97 apply (zenon_L998_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H495); [ zenon_intro zenon_H120 | zenon_intro zenon_H74 ].
% 83.75/83.97 apply (zenon_L543_); trivial.
% 83.75/83.97 apply (zenon_L32_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ].
% 83.75/83.97 apply (zenon_L139_); trivial.
% 83.75/83.97 apply (zenon_L88_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ].
% 83.75/83.97 apply (zenon_L46_); trivial.
% 83.75/83.97 apply (zenon_L31_); trivial.
% 83.75/83.97 (* end of lemma zenon_L999_ *)
% 83.75/83.97 assert (zenon_L1000_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e22) (e20)) = (e20)) -> (~((e20) = (e23))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> (~((h1 (op1 (e11) (e13))) = (op2 (h1 (e11)) (h1 (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (op1 (e11) (e11))) = (e11))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((e20) = (e22))) -> (~((e21) = (e22))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.75/83.97 do 0 intro. intros zenon_H15b zenon_Hd6 zenon_H21d zenon_H21e zenon_H48e zenon_H12f zenon_H134 zenon_H118 zenon_H112 zenon_H11b zenon_H129 zenon_H11f zenon_H12c zenon_H133 zenon_H141 zenon_H102 zenon_Hbc zenon_Hb2 zenon_Hc9 zenon_He8 zenon_Hff zenon_Hef zenon_Hf7 zenon_H13e zenon_Hba zenon_Hd1 zenon_H25 zenon_H14 zenon_H17 zenon_H1e zenon_H20d zenon_H163 zenon_H1bf zenon_H204 zenon_H2c zenon_H20a zenon_H16b zenon_H16 zenon_H173 zenon_H1f3 zenon_H1ee zenon_H200 zenon_H276 zenon_H1c9 zenon_H2e zenon_H3f zenon_H1a9 zenon_H1a5 zenon_H1ad zenon_H18e zenon_H1b6 zenon_H187 zenon_H16d zenon_H1ba zenon_H1b9 zenon_H176 zenon_H56 zenon_H50 zenon_H1c8 zenon_H5c zenon_H1fd zenon_H699 zenon_H1a0 zenon_H1f4 zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H19a zenon_H1c2 zenon_H1b0 zenon_H45 zenon_H1f5 zenon_H1e8 zenon_H1cf zenon_H1d8 zenon_H1d4 zenon_H1dc zenon_H266 zenon_H220 zenon_H61 zenon_H14b zenon_H48b zenon_H140 zenon_Had zenon_H124 zenon_H142 zenon_Hdc zenon_Ha3 zenon_Ha8 zenon_Hce zenon_H91 zenon_H94 zenon_H14f zenon_H8e zenon_H73 zenon_H7c zenon_H82 zenon_H78 zenon_H15c zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.75/83.97 apply (zenon_L41_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.75/83.97 apply (zenon_L151_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.75/83.97 apply (zenon_L152_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ].
% 83.75/83.97 apply (zenon_L43_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ].
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ].
% 83.75/83.97 apply (zenon_L43_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ].
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H48e); [ zenon_intro zenon_Hab | zenon_intro zenon_H494 ].
% 83.75/83.97 apply (zenon_L82_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H494); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H495 ].
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ].
% 83.75/83.97 apply (zenon_L52_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ].
% 83.75/83.97 apply (zenon_L536_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ].
% 83.75/83.97 apply (zenon_L71_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ].
% 83.75/83.97 apply (zenon_L11_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ].
% 83.75/83.97 apply (zenon_L20_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ].
% 83.75/83.97 apply (zenon_L22_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ].
% 83.75/83.97 apply (zenon_L11_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ].
% 83.75/83.97 apply (zenon_L171_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ].
% 83.75/83.97 apply (zenon_L991_); trivial.
% 83.75/83.97 apply (zenon_L138_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H495); [ zenon_intro zenon_H120 | zenon_intro zenon_H74 ].
% 83.75/83.97 apply (zenon_L543_); trivial.
% 83.75/83.97 apply (zenon_L32_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ].
% 83.75/83.97 apply (zenon_L139_); trivial.
% 83.75/83.97 apply (zenon_L88_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ].
% 83.75/83.97 apply (zenon_L46_); trivial.
% 83.75/83.97 apply (zenon_L31_); trivial.
% 83.75/83.97 (* end of lemma zenon_L1000_ *)
% 83.75/83.97 assert (zenon_L1001_ : (~((h1 (op1 (e12) (e10))) = (op2 (h1 (e12)) (h1 (e10))))) -> ((op1 (e12) (e10)) = (e10)) -> ((op2 (e22) (e20)) = (e20)) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((e22) = (op2 (e20) (e20))) -> ((h1 (e10)) = (e20)) -> False).
% 83.75/83.97 do 0 intro. intros zenon_H6a6 zenon_H1ff zenon_H21d zenon_H68b zenon_H78 zenon_H64.
% 83.75/83.97 cut (((h1 (e10)) = (e20)) = ((h1 (op1 (e12) (e10))) = (op2 (h1 (e12)) (h1 (e10))))).
% 83.75/83.97 intro zenon_D_pnotp.
% 83.75/83.97 apply zenon_H6a6.
% 83.75/83.97 rewrite <- zenon_D_pnotp.
% 83.75/83.97 exact zenon_H64.
% 83.75/83.97 cut (((e20) = (op2 (h1 (e12)) (h1 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H6a7].
% 83.75/83.97 cut (((h1 (e10)) = (h1 (op1 (e12) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H6a8].
% 83.75/83.97 congruence.
% 83.75/83.97 elim (classic ((h1 (op1 (e12) (e10))) = (h1 (op1 (e12) (e10))))); [ zenon_intro zenon_H6a9 | zenon_intro zenon_H6aa ].
% 83.75/83.97 cut (((h1 (op1 (e12) (e10))) = (h1 (op1 (e12) (e10)))) = ((h1 (e10)) = (h1 (op1 (e12) (e10))))).
% 83.75/83.97 intro zenon_D_pnotp.
% 83.75/83.97 apply zenon_H6a8.
% 83.75/83.97 rewrite <- zenon_D_pnotp.
% 83.75/83.97 exact zenon_H6a9.
% 83.75/83.97 cut (((h1 (op1 (e12) (e10))) = (h1 (op1 (e12) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H6aa].
% 83.75/83.97 cut (((h1 (op1 (e12) (e10))) = (h1 (e10)))); [idtac | apply NNPP; zenon_intro zenon_H6ab].
% 83.75/83.97 congruence.
% 83.75/83.97 cut (((op1 (e12) (e10)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H6ac].
% 83.75/83.97 congruence.
% 83.75/83.97 exact (zenon_H6ac zenon_H1ff).
% 83.75/83.97 apply zenon_H6aa. apply refl_equal.
% 83.75/83.97 apply zenon_H6aa. apply refl_equal.
% 83.75/83.97 elim (classic ((op2 (h1 (e12)) (h1 (e10))) = (op2 (h1 (e12)) (h1 (e10))))); [ zenon_intro zenon_H6ad | zenon_intro zenon_H6ae ].
% 83.75/83.97 cut (((op2 (h1 (e12)) (h1 (e10))) = (op2 (h1 (e12)) (h1 (e10)))) = ((e20) = (op2 (h1 (e12)) (h1 (e10))))).
% 83.75/83.97 intro zenon_D_pnotp.
% 83.75/83.97 apply zenon_H6a7.
% 83.75/83.97 rewrite <- zenon_D_pnotp.
% 83.75/83.97 exact zenon_H6ad.
% 83.75/83.97 cut (((op2 (h1 (e12)) (h1 (e10))) = (op2 (h1 (e12)) (h1 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H6ae].
% 83.75/83.97 cut (((op2 (h1 (e12)) (h1 (e10))) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H6af].
% 83.75/83.97 congruence.
% 83.75/83.97 cut (((op2 (e22) (e20)) = (e20)) = ((op2 (h1 (e12)) (h1 (e10))) = (e20))).
% 83.75/83.97 intro zenon_D_pnotp.
% 83.75/83.97 apply zenon_H6af.
% 83.75/83.97 rewrite <- zenon_D_pnotp.
% 83.75/83.97 exact zenon_H21d.
% 83.75/83.97 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H60].
% 83.75/83.97 cut (((op2 (e22) (e20)) = (op2 (h1 (e12)) (h1 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H6b0].
% 83.75/83.97 congruence.
% 83.75/83.97 elim (classic ((op2 (h1 (e12)) (h1 (e10))) = (op2 (h1 (e12)) (h1 (e10))))); [ zenon_intro zenon_H6ad | zenon_intro zenon_H6ae ].
% 83.75/83.97 cut (((op2 (h1 (e12)) (h1 (e10))) = (op2 (h1 (e12)) (h1 (e10)))) = ((op2 (e22) (e20)) = (op2 (h1 (e12)) (h1 (e10))))).
% 83.75/83.97 intro zenon_D_pnotp.
% 83.75/83.97 apply zenon_H6b0.
% 83.75/83.97 rewrite <- zenon_D_pnotp.
% 83.75/83.97 exact zenon_H6ad.
% 83.75/83.97 cut (((op2 (h1 (e12)) (h1 (e10))) = (op2 (h1 (e12)) (h1 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H6ae].
% 83.75/83.97 cut (((op2 (h1 (e12)) (h1 (e10))) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H6b1].
% 83.75/83.97 congruence.
% 83.75/83.97 cut (((h1 (e10)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H72].
% 83.75/83.97 cut (((h1 (e12)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H68a].
% 83.75/83.97 congruence.
% 83.75/83.97 apply (zenon_L978_); trivial.
% 83.75/83.97 exact (zenon_H72 zenon_H64).
% 83.75/83.97 apply zenon_H6ae. apply refl_equal.
% 83.75/83.97 apply zenon_H6ae. apply refl_equal.
% 83.75/83.97 apply zenon_H60. apply refl_equal.
% 83.75/83.97 apply zenon_H6ae. apply refl_equal.
% 83.75/83.97 apply zenon_H6ae. apply refl_equal.
% 83.75/83.97 (* end of lemma zenon_L1001_ *)
% 83.75/83.97 assert (zenon_L1002_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (op1 (e10) (e10))) = (e12))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((e11) = (e12))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((h1 (e10)) = (e20)) -> ((e22) = (op2 (e20) (e20))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((op2 (e22) (e20)) = (e20)) -> (~((h1 (op1 (e12) (e10))) = (op2 (h1 (e12)) (h1 (e10))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 83.75/83.97 do 0 intro. intros zenon_H61 zenon_H220 zenon_H1f5 zenon_H1b0 zenon_H1a9 zenon_H19a zenon_H1ad zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H16d zenon_H1ba zenon_H1b9 zenon_H56 zenon_H45 zenon_H50 zenon_H1c2 zenon_H1f4 zenon_H1e4 zenon_H1e0 zenon_H3f zenon_H18e zenon_H1b6 zenon_H1a0 zenon_H1c9 zenon_H2e zenon_H1dc zenon_H1d4 zenon_H187 zenon_H1a5 zenon_H1d8 zenon_H1cf zenon_H1e8 zenon_H176 zenon_H1c8 zenon_H1ee zenon_H1f3 zenon_H64 zenon_H78 zenon_H68b zenon_H21d zenon_H6a6 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ].
% 83.75/83.97 apply (zenon_L11_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ].
% 83.75/83.97 apply (zenon_L20_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ].
% 83.75/83.97 apply (zenon_L22_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ].
% 83.75/83.97 apply (zenon_L11_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ].
% 83.75/83.97 apply (zenon_L129_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ].
% 83.75/83.97 apply (zenon_L1001_); trivial.
% 83.75/83.97 apply (zenon_L138_); trivial.
% 83.75/83.97 (* end of lemma zenon_L1002_ *)
% 83.75/83.97 assert (zenon_L1003_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e11) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e12) (e10)) = (op1 (e10) (e12))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> ((h1 (e10)) = (e20)) -> ((e22) = (op2 (e20) (e20))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((op2 (e22) (e20)) = (e20)) -> (~((h1 (op1 (e12) (e10))) = (op2 (h1 (e12)) (h1 (e10))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 83.75/83.97 do 0 intro. intros zenon_H220 zenon_H3f zenon_H3a zenon_H1f3 zenon_H2e zenon_H16d zenon_H245 zenon_H249 zenon_H64 zenon_H78 zenon_H68b zenon_H21d zenon_H6a6 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ].
% 83.75/83.97 apply (zenon_L11_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ].
% 83.75/83.97 apply (zenon_L154_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ].
% 83.75/83.97 apply (zenon_L1001_); trivial.
% 83.75/83.97 apply (zenon_L138_); trivial.
% 83.75/83.97 (* end of lemma zenon_L1003_ *)
% 83.75/83.97 assert (zenon_L1004_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (op1 (e10) (e13))) = (e11))) -> (~((e12) = (e13))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((e10) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e10)) = (op1 (e10) (e13))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((e11) = (e12))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((h1 (e10)) = (e20)) -> ((e22) = (op2 (e20) (e20))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((op2 (e22) (e20)) = (e20)) -> (~((h1 (op1 (e12) (e10))) = (op2 (h1 (e12)) (h1 (e10))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 83.75/83.97 do 0 intro. intros zenon_H61 zenon_H220 zenon_H1f5 zenon_H4d zenon_H49 zenon_H16d zenon_H1ba zenon_H56 zenon_H45 zenon_H50 zenon_H1c2 zenon_H1f4 zenon_H24d zenon_H25a zenon_H256 zenon_H3a zenon_H200 zenon_H252 zenon_H253 zenon_H229 zenon_H1b6 zenon_H18e zenon_H53 zenon_H1ad zenon_H19a zenon_H1a9 zenon_H3f zenon_H1b0 zenon_H1e4 zenon_H25d zenon_H1b9 zenon_H1a0 zenon_H1c9 zenon_H2e zenon_H1dc zenon_H1d4 zenon_H187 zenon_H1a5 zenon_H1d8 zenon_H1cf zenon_H1e8 zenon_H176 zenon_H1c8 zenon_H1ee zenon_H1f3 zenon_H64 zenon_H78 zenon_H68b zenon_H21d zenon_H6a6 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ].
% 83.75/83.97 apply (zenon_L11_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ].
% 83.75/83.97 apply (zenon_L20_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ].
% 83.75/83.97 apply (zenon_L22_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ].
% 83.75/83.97 apply (zenon_L11_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ].
% 83.75/83.97 apply (zenon_L164_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ].
% 83.75/83.97 apply (zenon_L1001_); trivial.
% 83.75/83.97 apply (zenon_L138_); trivial.
% 83.75/83.97 (* end of lemma zenon_L1004_ *)
% 83.75/83.97 assert (zenon_L1005_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((e10) = (e12))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e10) (e11)) = (op1 (e11) (e10))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> ((h1 (e10)) = (e20)) -> ((e22) = (op2 (e20) (e20))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((op2 (e22) (e20)) = (e20)) -> (~((h1 (op1 (e12) (e10))) = (op2 (h1 (e12)) (h1 (e10))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 83.75/83.97 do 0 intro. intros zenon_H61 zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H50 zenon_H45 zenon_H56 zenon_H220 zenon_H3f zenon_H1c8 zenon_H176 zenon_H260 zenon_H230 zenon_H1c2 zenon_H64 zenon_H78 zenon_H68b zenon_H21d zenon_H6a6 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ].
% 83.75/83.97 apply (zenon_L11_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ].
% 83.75/83.97 apply (zenon_L20_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ].
% 83.75/83.97 apply (zenon_L22_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ].
% 83.75/83.97 apply (zenon_L11_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ].
% 83.75/83.97 apply (zenon_L167_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ].
% 83.75/83.97 apply (zenon_L1001_); trivial.
% 83.75/83.97 apply (zenon_L138_); trivial.
% 83.75/83.97 (* end of lemma zenon_L1005_ *)
% 83.75/83.97 assert (zenon_L1006_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (op1 (e11) (e11))) = (e11))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((e11) = (e12))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((h1 (e10)) = (e20)) -> ((e22) = (op2 (e20) (e20))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((op2 (e22) (e20)) = (e20)) -> (~((h1 (op1 (e12) (e10))) = (op2 (h1 (e12)) (h1 (e10))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 83.75/83.97 do 0 intro. intros zenon_H61 zenon_H220 zenon_H1f5 zenon_H1b0 zenon_H3f zenon_H1a9 zenon_H19a zenon_H1ad zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H18e zenon_H1b6 zenon_H16d zenon_H1ba zenon_H1b9 zenon_H56 zenon_H45 zenon_H50 zenon_H1c2 zenon_H1f4 zenon_H266 zenon_H1a0 zenon_H1c9 zenon_H2e zenon_H1dc zenon_H1d4 zenon_H187 zenon_H1a5 zenon_H1d8 zenon_H1cf zenon_H1e8 zenon_H176 zenon_H1c8 zenon_H1ee zenon_H1f3 zenon_H64 zenon_H78 zenon_H68b zenon_H21d zenon_H6a6 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ].
% 83.75/83.97 apply (zenon_L11_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ].
% 83.75/83.97 apply (zenon_L20_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ].
% 83.75/83.97 apply (zenon_L22_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ].
% 83.75/83.97 apply (zenon_L11_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ].
% 83.75/83.97 apply (zenon_L171_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ].
% 83.75/83.97 apply (zenon_L1001_); trivial.
% 83.75/83.97 apply (zenon_L138_); trivial.
% 83.75/83.97 (* end of lemma zenon_L1006_ *)
% 83.75/83.97 assert (zenon_L1007_ : (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e11) = (e13))) -> ((op1 (e12) (e10)) = (e10)) -> (~((e10) = (e13))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((h1 (op1 (e12) (e11))) = (op2 (h1 (e12)) (h1 (e11))))) -> ((op2 (e22) (e21)) = (e21)) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((e22) = (op2 (e20) (e20))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e10) (e13)) = (e10)) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 83.75/83.97 do 0 intro. intros zenon_H1f3 zenon_H173 zenon_H1ee zenon_H1ff zenon_H200 zenon_H276 zenon_H2e zenon_H3f zenon_H1a9 zenon_H1a5 zenon_H1a0 zenon_H1ad zenon_H18e zenon_H1b6 zenon_H187 zenon_H16d zenon_H1ba zenon_H16 zenon_H1b9 zenon_H176 zenon_H56 zenon_H50 zenon_H1c8 zenon_H6b2 zenon_He5 zenon_H68b zenon_H78 zenon_H1fd zenon_H7a zenon_H1c9 zenon_H2c zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H19a zenon_H1c2 zenon_H20d zenon_H163 zenon_H1bf zenon_H204 zenon_H20a zenon_H16b zenon_H1b0 zenon_H45 zenon_H42 zenon_H1f5 zenon_H1e zenon_H17 zenon_H14 zenon_H25.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H2d | zenon_intro zenon_H1f6 ].
% 83.75/83.97 apply (zenon_L7_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H162 | zenon_intro zenon_H1f7 ].
% 83.75/83.97 apply (zenon_L178_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H16c | zenon_intro zenon_H195 ].
% 83.75/83.97 apply (zenon_L179_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H18 | zenon_intro zenon_H174 ].
% 83.75/83.97 apply (zenon_L3_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H169 | zenon_intro zenon_H175 ].
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H18 | zenon_intro zenon_H1f8 ].
% 83.75/83.97 apply (zenon_L3_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1f9 ].
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_H161 | zenon_intro zenon_H27a ].
% 83.75/83.97 apply (zenon_L115_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H27a); [ zenon_intro zenon_H177 | zenon_intro zenon_H27b ].
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H34 | zenon_intro zenon_H1cc ].
% 83.75/83.97 apply (zenon_L9_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H17e | zenon_intro zenon_H1cd ].
% 83.75/83.97 apply (zenon_L180_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H184 | zenon_intro zenon_H1c0 ].
% 83.75/83.97 cut (((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) = ((h1 (op1 (e12) (e11))) = (op2 (h1 (e12)) (h1 (e11))))).
% 83.75/83.97 intro zenon_D_pnotp.
% 83.75/83.97 apply zenon_H6b2.
% 83.75/83.97 rewrite <- zenon_D_pnotp.
% 83.75/83.97 exact zenon_H1fd.
% 83.75/83.97 cut (((op2 (e20) (op2 (e20) (e20))) = (op2 (h1 (e12)) (h1 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H6b3].
% 83.75/83.97 cut (((h1 (e11)) = (h1 (op1 (e12) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H6b4].
% 83.75/83.97 congruence.
% 83.75/83.97 elim (classic ((h1 (op1 (e12) (e11))) = (h1 (op1 (e12) (e11))))); [ zenon_intro zenon_H6b5 | zenon_intro zenon_H6b6 ].
% 83.75/83.97 cut (((h1 (op1 (e12) (e11))) = (h1 (op1 (e12) (e11)))) = ((h1 (e11)) = (h1 (op1 (e12) (e11))))).
% 83.75/83.97 intro zenon_D_pnotp.
% 83.75/83.97 apply zenon_H6b4.
% 83.75/83.97 rewrite <- zenon_D_pnotp.
% 83.75/83.97 exact zenon_H6b5.
% 83.75/83.97 cut (((h1 (op1 (e12) (e11))) = (h1 (op1 (e12) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H6b6].
% 83.75/83.97 cut (((h1 (op1 (e12) (e11))) = (h1 (e11)))); [idtac | apply NNPP; zenon_intro zenon_H6b7].
% 83.75/83.97 congruence.
% 83.75/83.97 cut (((op1 (e12) (e11)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H185].
% 83.75/83.97 congruence.
% 83.75/83.97 exact (zenon_H185 zenon_H184).
% 83.75/83.97 apply zenon_H6b6. apply refl_equal.
% 83.75/83.97 apply zenon_H6b6. apply refl_equal.
% 83.75/83.97 elim (classic ((op2 (h1 (e12)) (h1 (e11))) = (op2 (h1 (e12)) (h1 (e11))))); [ zenon_intro zenon_H6b8 | zenon_intro zenon_H6b9 ].
% 83.75/83.97 cut (((op2 (h1 (e12)) (h1 (e11))) = (op2 (h1 (e12)) (h1 (e11)))) = ((op2 (e20) (op2 (e20) (e20))) = (op2 (h1 (e12)) (h1 (e11))))).
% 83.75/83.97 intro zenon_D_pnotp.
% 83.75/83.97 apply zenon_H6b3.
% 83.75/83.97 rewrite <- zenon_D_pnotp.
% 83.75/83.97 exact zenon_H6b8.
% 83.75/83.97 cut (((op2 (h1 (e12)) (h1 (e11))) = (op2 (h1 (e12)) (h1 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H6b9].
% 83.75/83.97 cut (((op2 (h1 (e12)) (h1 (e11))) = (op2 (e20) (op2 (e20) (e20))))); [idtac | apply NNPP; zenon_intro zenon_H6ba].
% 83.75/83.97 congruence.
% 83.75/83.97 cut (((op2 (e22) (e21)) = (e21)) = ((op2 (h1 (e12)) (h1 (e11))) = (op2 (e20) (op2 (e20) (e20))))).
% 83.75/83.97 intro zenon_D_pnotp.
% 83.75/83.97 apply zenon_H6ba.
% 83.75/83.97 rewrite <- zenon_D_pnotp.
% 83.75/83.97 exact zenon_He5.
% 83.75/83.97 cut (((e21) = (op2 (e20) (op2 (e20) (e20))))); [idtac | apply NNPP; zenon_intro zenon_H6a3].
% 83.75/83.97 cut (((op2 (e22) (e21)) = (op2 (h1 (e12)) (h1 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H6bb].
% 83.75/83.97 congruence.
% 83.75/83.97 elim (classic ((op2 (h1 (e12)) (h1 (e11))) = (op2 (h1 (e12)) (h1 (e11))))); [ zenon_intro zenon_H6b8 | zenon_intro zenon_H6b9 ].
% 83.75/83.97 cut (((op2 (h1 (e12)) (h1 (e11))) = (op2 (h1 (e12)) (h1 (e11)))) = ((op2 (e22) (e21)) = (op2 (h1 (e12)) (h1 (e11))))).
% 83.75/83.97 intro zenon_D_pnotp.
% 83.75/83.97 apply zenon_H6bb.
% 83.75/83.97 rewrite <- zenon_D_pnotp.
% 83.75/83.97 exact zenon_H6b8.
% 83.75/83.97 cut (((op2 (h1 (e12)) (h1 (e11))) = (op2 (h1 (e12)) (h1 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H6b9].
% 83.75/83.97 cut (((op2 (h1 (e12)) (h1 (e11))) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H6bc].
% 83.75/83.97 congruence.
% 83.75/83.97 cut (((h1 (e11)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H1fc].
% 83.75/83.97 cut (((h1 (e12)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H68a].
% 83.75/83.97 congruence.
% 83.75/83.97 apply (zenon_L978_); trivial.
% 83.75/83.97 apply (zenon_L130_); trivial.
% 83.75/83.97 apply zenon_H6b9. apply refl_equal.
% 83.75/83.97 apply zenon_H6b9. apply refl_equal.
% 83.75/83.97 exact (zenon_H6a3 zenon_H7a).
% 83.75/83.97 apply zenon_H6b9. apply refl_equal.
% 83.75/83.97 apply zenon_H6b9. apply refl_equal.
% 83.75/83.97 apply (zenon_L113_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H27b); [ zenon_intro zenon_H19b | zenon_intro zenon_H46 ].
% 83.75/83.97 apply (zenon_L181_); trivial.
% 83.75/83.97 apply (zenon_L13_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1d9 | zenon_intro zenon_H1ed ].
% 83.75/83.97 apply (zenon_L131_); trivial.
% 83.75/83.97 apply (zenon_L128_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H24 ].
% 83.75/83.97 apply (zenon_L4_); trivial.
% 83.75/83.97 apply (zenon_L5_); trivial.
% 83.75/83.97 (* end of lemma zenon_L1007_ *)
% 83.75/83.97 assert (zenon_L1008_ : (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e20) = (e21))) -> ((op2 (e21) (e21)) = (e20)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((h1 (op1 (e12) (e11))) = (op2 (h1 (e12)) (h1 (e11))))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((e22) = (op2 (e20) (e20))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (op1 (e10) (e10))) = (e12))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> ((op2 (e20) (e21)) = (e23)) -> False).
% 83.75/83.97 do 0 intro. intros zenon_H141 zenon_Hc3 zenon_Had zenon_Hd2 zenon_H25 zenon_H14 zenon_H17 zenon_H1e zenon_H20d zenon_H163 zenon_H1bf zenon_H204 zenon_H2c zenon_H20a zenon_H16b zenon_H16 zenon_H173 zenon_H1f3 zenon_H1ee zenon_H200 zenon_H276 zenon_H2e zenon_H3f zenon_H1a9 zenon_H1a5 zenon_H1a0 zenon_H1ad zenon_H18e zenon_H1b6 zenon_H187 zenon_H16d zenon_H1ba zenon_H1b9 zenon_H176 zenon_H56 zenon_H50 zenon_H1c8 zenon_H6b2 zenon_H68b zenon_H78 zenon_H1fd zenon_H7a zenon_H1c9 zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H19a zenon_H1c2 zenon_H1b0 zenon_H45 zenon_H1f5 zenon_H1e8 zenon_H1cf zenon_H1d8 zenon_H1d4 zenon_H1dc zenon_H1e0 zenon_H1e4 zenon_H1f4 zenon_H220 zenon_H61 zenon_H13e zenon_Hba zenon_Hb8.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H139 | zenon_intro zenon_H147 ].
% 83.75/83.97 apply (zenon_L76_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_He1 | zenon_intro zenon_H148 ].
% 83.75/83.97 apply (zenon_L536_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_He5 | zenon_intro zenon_H10e ].
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ].
% 83.75/83.97 apply (zenon_L11_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ].
% 83.75/83.97 apply (zenon_L20_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ].
% 83.75/83.97 apply (zenon_L22_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ].
% 83.75/83.97 apply (zenon_L11_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ].
% 83.75/83.97 apply (zenon_L129_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ].
% 83.75/83.97 apply (zenon_L1007_); trivial.
% 83.75/83.97 apply (zenon_L138_); trivial.
% 83.75/83.97 apply (zenon_L78_); trivial.
% 83.75/83.97 (* end of lemma zenon_L1008_ *)
% 83.75/83.97 assert (zenon_L1009_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e22) (e20)) = (e20)) -> (~((e20) = (e23))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (op1 (e10) (e10))) = (e12))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> (~((h1 (op1 (e12) (e11))) = (op2 (h1 (e12)) (h1 (e11))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((e20) = (e22))) -> (~((e21) = (e22))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.75/83.97 do 0 intro. intros zenon_H15b zenon_Hd6 zenon_H21d zenon_H21e zenon_H48e zenon_H12f zenon_H134 zenon_H118 zenon_H112 zenon_H11b zenon_H129 zenon_H11f zenon_H12c zenon_H133 zenon_H102 zenon_Hbc zenon_Hb2 zenon_Hc9 zenon_He8 zenon_Hff zenon_Hef zenon_Hf7 zenon_Hd1 zenon_Hba zenon_H13e zenon_H61 zenon_H220 zenon_H1f4 zenon_H1e4 zenon_H1e0 zenon_H1dc zenon_H1d4 zenon_H1d8 zenon_H1cf zenon_H1e8 zenon_H1f5 zenon_H45 zenon_H1b0 zenon_H1c2 zenon_H19a zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H1c9 zenon_H1fd zenon_H68b zenon_H6b2 zenon_H1c8 zenon_H50 zenon_H56 zenon_H176 zenon_H1b9 zenon_H1ba zenon_H16d zenon_H187 zenon_H1b6 zenon_H18e zenon_H1ad zenon_H1a0 zenon_H1a5 zenon_H1a9 zenon_H3f zenon_H2e zenon_H276 zenon_H200 zenon_H1ee zenon_H1f3 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25 zenon_H141 zenon_H14b zenon_H48b zenon_H140 zenon_Had zenon_H124 zenon_H142 zenon_Hdc zenon_Ha3 zenon_Ha8 zenon_Hce zenon_H91 zenon_H94 zenon_H14f zenon_H8e zenon_H73 zenon_H7c zenon_H82 zenon_H78 zenon_H15c zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.75/83.97 apply (zenon_L41_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.75/83.97 apply (zenon_L151_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.75/83.97 apply (zenon_L152_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ].
% 83.75/83.97 apply (zenon_L43_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ].
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ].
% 83.75/83.97 apply (zenon_L43_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ].
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H48e); [ zenon_intro zenon_Hab | zenon_intro zenon_H494 ].
% 83.75/83.97 apply (zenon_L82_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H494); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H495 ].
% 83.75/83.97 apply (zenon_L1008_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H495); [ zenon_intro zenon_H120 | zenon_intro zenon_H74 ].
% 83.75/83.97 apply (zenon_L543_); trivial.
% 83.75/83.97 apply (zenon_L32_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ].
% 83.75/83.97 apply (zenon_L139_); trivial.
% 83.75/83.97 apply (zenon_L88_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ].
% 83.75/83.97 apply (zenon_L46_); trivial.
% 83.75/83.97 apply (zenon_L31_); trivial.
% 83.75/83.97 (* end of lemma zenon_L1009_ *)
% 83.75/83.97 assert (zenon_L1010_ : (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e20) = (e21))) -> ((op2 (e21) (e21)) = (e20)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((h1 (op1 (e12) (e11))) = (op2 (h1 (e12)) (h1 (e11))))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((e22) = (op2 (e20) (e20))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> ((op1 (e12) (e10)) = (op1 (e10) (e12))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e20)) = (e21)) -> False).
% 83.75/83.97 do 0 intro. intros zenon_H141 zenon_Hc3 zenon_Had zenon_Hd2 zenon_H25 zenon_H14 zenon_H17 zenon_H1e zenon_H20d zenon_H163 zenon_H1bf zenon_H204 zenon_H2c zenon_H20a zenon_H16b zenon_H16 zenon_H173 zenon_H1f3 zenon_H1ee zenon_H200 zenon_H276 zenon_H2e zenon_H3f zenon_H1a9 zenon_H1a5 zenon_H1a0 zenon_H1ad zenon_H18e zenon_H1b6 zenon_H187 zenon_H16d zenon_H1ba zenon_H1b9 zenon_H176 zenon_H56 zenon_H50 zenon_H1c8 zenon_H6b2 zenon_H68b zenon_H78 zenon_H1fd zenon_H7a zenon_H1c9 zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H19a zenon_H1c2 zenon_H1b0 zenon_H45 zenon_H1f5 zenon_H249 zenon_H245 zenon_H220 zenon_H61 zenon_H13e zenon_H10c.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H139 | zenon_intro zenon_H147 ].
% 83.75/83.97 apply (zenon_L76_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_He1 | zenon_intro zenon_H148 ].
% 83.75/83.97 apply (zenon_L536_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_He5 | zenon_intro zenon_H10e ].
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ].
% 83.75/83.97 apply (zenon_L11_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ].
% 83.75/83.97 apply (zenon_L20_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ].
% 83.75/83.97 apply (zenon_L22_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ].
% 83.75/83.97 apply (zenon_L11_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ].
% 83.75/83.97 apply (zenon_L154_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ].
% 83.75/83.97 apply (zenon_L1007_); trivial.
% 83.75/83.97 apply (zenon_L138_); trivial.
% 83.75/83.97 apply (zenon_L517_); trivial.
% 83.75/83.97 (* end of lemma zenon_L1010_ *)
% 83.75/83.97 assert (zenon_L1011_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e22) (e20)) = (e20)) -> (~((e20) = (e23))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> ((op1 (e12) (e10)) = (op1 (e10) (e12))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> (~((h1 (op1 (e12) (e11))) = (op2 (h1 (e12)) (h1 (e11))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((e20) = (e22))) -> (~((e21) = (e22))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.75/83.97 do 0 intro. intros zenon_H15b zenon_Hd6 zenon_H21d zenon_H21e zenon_H48e zenon_H12f zenon_H134 zenon_H118 zenon_H112 zenon_H11b zenon_H129 zenon_H11f zenon_H12c zenon_H133 zenon_H102 zenon_Hbc zenon_Hb2 zenon_Hc9 zenon_He8 zenon_Hff zenon_Hef zenon_Hf7 zenon_Hba zenon_Hd1 zenon_H13e zenon_H61 zenon_H220 zenon_H245 zenon_H249 zenon_H1f5 zenon_H45 zenon_H1b0 zenon_H1c2 zenon_H19a zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H1c9 zenon_H1fd zenon_H68b zenon_H6b2 zenon_H1c8 zenon_H50 zenon_H56 zenon_H176 zenon_H1b9 zenon_H1ba zenon_H16d zenon_H187 zenon_H1b6 zenon_H18e zenon_H1ad zenon_H1a0 zenon_H1a5 zenon_H1a9 zenon_H3f zenon_H2e zenon_H276 zenon_H200 zenon_H1ee zenon_H1f3 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25 zenon_H141 zenon_H14b zenon_H48b zenon_H140 zenon_Had zenon_H124 zenon_H142 zenon_Hdc zenon_Ha3 zenon_Ha8 zenon_Hce zenon_H91 zenon_H94 zenon_H14f zenon_H8e zenon_H73 zenon_H7c zenon_H82 zenon_H78 zenon_H15c zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.75/83.97 apply (zenon_L41_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.75/83.97 apply (zenon_L151_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.75/83.97 apply (zenon_L152_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ].
% 83.75/83.97 apply (zenon_L43_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ].
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ].
% 83.75/83.97 apply (zenon_L43_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ].
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H48e); [ zenon_intro zenon_Hab | zenon_intro zenon_H494 ].
% 83.75/83.97 apply (zenon_L82_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H494); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H495 ].
% 83.75/83.97 apply (zenon_L1010_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H495); [ zenon_intro zenon_H120 | zenon_intro zenon_H74 ].
% 83.75/83.97 apply (zenon_L543_); trivial.
% 83.75/83.97 apply (zenon_L32_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ].
% 83.75/83.97 apply (zenon_L139_); trivial.
% 83.75/83.97 apply (zenon_L88_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ].
% 83.75/83.97 apply (zenon_L46_); trivial.
% 83.75/83.97 apply (zenon_L31_); trivial.
% 83.75/83.97 (* end of lemma zenon_L1011_ *)
% 83.75/83.97 assert (zenon_L1012_ : (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e20) = (e21))) -> ((op2 (e21) (e21)) = (e20)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((h1 (op1 (e12) (e11))) = (op2 (h1 (e12)) (h1 (e11))))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((e22) = (op2 (e20) (e20))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e13) (e10)) = (op1 (e10) (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (op1 (e10) (e13))) = (e11))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> ((op2 (e20) (e21)) = (e23)) -> False).
% 83.75/83.97 do 0 intro. intros zenon_H141 zenon_Hc3 zenon_Had zenon_Hd2 zenon_H25 zenon_H14 zenon_H17 zenon_H1e zenon_H20d zenon_H163 zenon_H1bf zenon_H204 zenon_H2c zenon_H20a zenon_H16b zenon_H16 zenon_H173 zenon_H1f3 zenon_H1ee zenon_H200 zenon_H276 zenon_H2e zenon_H3f zenon_H1a9 zenon_H1a5 zenon_H1a0 zenon_H1ad zenon_H18e zenon_H1b6 zenon_H187 zenon_H16d zenon_H1ba zenon_H1b9 zenon_H176 zenon_H56 zenon_H50 zenon_H1c8 zenon_H6b2 zenon_H68b zenon_H78 zenon_H1fd zenon_H7a zenon_H1c9 zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H19a zenon_H1c2 zenon_H1b0 zenon_H45 zenon_H1f5 zenon_H1e8 zenon_H1cf zenon_H1d8 zenon_H1d4 zenon_H1dc zenon_H25d zenon_H1e4 zenon_H229 zenon_H253 zenon_H252 zenon_H256 zenon_H25a zenon_H24d zenon_H1f4 zenon_H220 zenon_H61 zenon_H13e zenon_Hba zenon_Hb8.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H139 | zenon_intro zenon_H147 ].
% 83.75/83.97 apply (zenon_L76_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_He1 | zenon_intro zenon_H148 ].
% 83.75/83.97 apply (zenon_L536_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_He5 | zenon_intro zenon_H10e ].
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ].
% 83.75/83.97 apply (zenon_L11_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ].
% 83.75/83.97 apply (zenon_L20_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ].
% 83.75/83.97 apply (zenon_L22_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ].
% 83.75/83.97 apply (zenon_L11_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ].
% 83.75/83.97 apply (zenon_L164_); trivial.
% 83.75/83.97 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ].
% 83.75/83.97 apply (zenon_L1007_); trivial.
% 83.75/83.97 apply (zenon_L138_); trivial.
% 83.75/83.97 apply (zenon_L78_); trivial.
% 83.75/83.97 (* end of lemma zenon_L1012_ *)
% 83.75/83.97 assert (zenon_L1013_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e22) (e20)) = (e20)) -> (~((e20) = (e23))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (op1 (e10) (e13))) = (e11))) -> (~((e12) = (e13))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e10)) = (op1 (e10) (e13))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> (~((h1 (op1 (e12) (e11))) = (op2 (h1 (e12)) (h1 (e11))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((e20) = (e22))) -> (~((e21) = (e22))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.75/83.97 do 0 intro. intros zenon_H15b zenon_Hd6 zenon_H21d zenon_H21e zenon_H48e zenon_H12f zenon_H134 zenon_H118 zenon_H112 zenon_H11b zenon_H129 zenon_H11f zenon_H12c zenon_H133 zenon_H102 zenon_Hbc zenon_Hb2 zenon_Hc9 zenon_He8 zenon_Hff zenon_Hef zenon_Hf7 zenon_Hd1 zenon_Hba zenon_H13e zenon_H61 zenon_H220 zenon_H1f4 zenon_H24d zenon_H25a zenon_H256 zenon_H252 zenon_H253 zenon_H229 zenon_H1e4 zenon_H25d zenon_H1dc zenon_H1d4 zenon_H1d8 zenon_H1cf zenon_H1e8 zenon_H1f5 zenon_H45 zenon_H1b0 zenon_H1c2 zenon_H19a zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H1c9 zenon_H1fd zenon_H68b zenon_H6b2 zenon_H1c8 zenon_H50 zenon_H56 zenon_H176 zenon_H1b9 zenon_H1ba zenon_H16d zenon_H187 zenon_H1b6 zenon_H18e zenon_H1ad zenon_H1a0 zenon_H1a5 zenon_H1a9 zenon_H3f zenon_H2e zenon_H276 zenon_H200 zenon_H1ee zenon_H1f3 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25 zenon_H141 zenon_H14b zenon_H48b zenon_H140 zenon_Had zenon_H124 zenon_H142 zenon_Hdc zenon_Ha3 zenon_Ha8 zenon_Hce zenon_H91 zenon_H94 zenon_H14f zenon_H8e zenon_H73 zenon_H7c zenon_H82 zenon_H78 zenon_H15c zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a.
% 83.75/83.98 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.75/83.98 apply (zenon_L41_); trivial.
% 83.75/83.98 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.75/83.98 apply (zenon_L151_); trivial.
% 83.75/83.98 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.75/83.98 apply (zenon_L152_); trivial.
% 83.75/83.98 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ].
% 83.75/83.98 apply (zenon_L43_); trivial.
% 83.75/83.98 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ].
% 83.75/83.98 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ].
% 83.75/83.98 apply (zenon_L43_); trivial.
% 83.75/83.98 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ].
% 83.75/83.98 apply (zenon_or_s _ _ zenon_H48e); [ zenon_intro zenon_Hab | zenon_intro zenon_H494 ].
% 83.75/83.98 apply (zenon_L82_); trivial.
% 83.75/83.98 apply (zenon_or_s _ _ zenon_H494); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H495 ].
% 83.75/83.98 apply (zenon_L1012_); trivial.
% 83.75/83.98 apply (zenon_or_s _ _ zenon_H495); [ zenon_intro zenon_H120 | zenon_intro zenon_H74 ].
% 83.75/83.98 apply (zenon_L543_); trivial.
% 83.75/83.98 apply (zenon_L32_); trivial.
% 83.75/83.98 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ].
% 83.75/83.98 apply (zenon_L139_); trivial.
% 83.75/83.98 apply (zenon_L88_); trivial.
% 83.75/83.98 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ].
% 83.75/83.98 apply (zenon_L46_); trivial.
% 83.75/83.98 apply (zenon_L31_); trivial.
% 83.75/83.98 (* end of lemma zenon_L1013_ *)
% 83.75/83.98 assert (zenon_L1014_ : (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e20) = (e21))) -> ((op2 (e21) (e21)) = (e20)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((h1 (op1 (e12) (e11))) = (op2 (h1 (e12)) (h1 (e11))))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((e22) = (op2 (e20) (e20))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e10) (e11)) = (op1 (e11) (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e20)) = (e21)) -> False).
% 83.75/83.98 do 0 intro. intros zenon_H141 zenon_Hc3 zenon_Had zenon_Hd2 zenon_H25 zenon_H14 zenon_H17 zenon_H1e zenon_H20d zenon_H163 zenon_H1bf zenon_H204 zenon_H2c zenon_H20a zenon_H16b zenon_H16 zenon_H173 zenon_H1f3 zenon_H1ee zenon_H200 zenon_H276 zenon_H2e zenon_H3f zenon_H1a9 zenon_H1a5 zenon_H1a0 zenon_H1ad zenon_H18e zenon_H1b6 zenon_H187 zenon_H16d zenon_H1ba zenon_H1b9 zenon_H176 zenon_H56 zenon_H50 zenon_H1c8 zenon_H6b2 zenon_H68b zenon_H78 zenon_H1fd zenon_H7a zenon_H1c9 zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H19a zenon_H1c2 zenon_H1b0 zenon_H45 zenon_H1f5 zenon_H230 zenon_H260 zenon_H220 zenon_H61 zenon_H13e zenon_H10c.
% 83.75/83.98 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H139 | zenon_intro zenon_H147 ].
% 83.75/83.98 apply (zenon_L76_); trivial.
% 83.75/83.98 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_He1 | zenon_intro zenon_H148 ].
% 83.75/83.98 apply (zenon_L536_); trivial.
% 83.75/83.98 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_He5 | zenon_intro zenon_H10e ].
% 83.75/83.98 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ].
% 83.75/83.98 apply (zenon_L11_); trivial.
% 83.75/83.98 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ].
% 83.75/83.98 apply (zenon_L20_); trivial.
% 83.75/83.98 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ].
% 83.75/83.98 apply (zenon_L22_); trivial.
% 83.75/83.98 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ].
% 83.75/83.98 apply (zenon_L11_); trivial.
% 83.75/83.98 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ].
% 83.75/83.98 apply (zenon_L167_); trivial.
% 83.75/83.98 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ].
% 83.75/83.98 apply (zenon_L1007_); trivial.
% 83.75/83.98 apply (zenon_L138_); trivial.
% 83.75/83.98 apply (zenon_L517_); trivial.
% 83.75/83.98 (* end of lemma zenon_L1014_ *)
% 83.75/83.98 assert (zenon_L1015_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e22) (e20)) = (e20)) -> (~((e20) = (e23))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> ((op1 (e10) (e11)) = (op1 (e11) (e10))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> (~((h1 (op1 (e12) (e11))) = (op2 (h1 (e12)) (h1 (e11))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((e20) = (e22))) -> (~((e21) = (e22))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.75/83.98 do 0 intro. intros zenon_H15b zenon_Hd6 zenon_H21d zenon_H21e zenon_H48e zenon_H12f zenon_H134 zenon_H118 zenon_H112 zenon_H11b zenon_H129 zenon_H11f zenon_H12c zenon_H133 zenon_H102 zenon_Hbc zenon_Hb2 zenon_Hc9 zenon_He8 zenon_Hff zenon_Hef zenon_Hf7 zenon_Hba zenon_Hd1 zenon_H13e zenon_H61 zenon_H220 zenon_H260 zenon_H230 zenon_H1f5 zenon_H45 zenon_H1b0 zenon_H1c2 zenon_H19a zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H1c9 zenon_H1fd zenon_H68b zenon_H6b2 zenon_H1c8 zenon_H50 zenon_H56 zenon_H176 zenon_H1b9 zenon_H1ba zenon_H16d zenon_H187 zenon_H1b6 zenon_H18e zenon_H1ad zenon_H1a0 zenon_H1a5 zenon_H1a9 zenon_H3f zenon_H2e zenon_H276 zenon_H200 zenon_H1ee zenon_H1f3 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25 zenon_H141 zenon_H14b zenon_H48b zenon_H140 zenon_Had zenon_H124 zenon_H142 zenon_Hdc zenon_Ha3 zenon_Ha8 zenon_Hce zenon_H91 zenon_H94 zenon_H14f zenon_H8e zenon_H73 zenon_H7c zenon_H82 zenon_H78 zenon_H15c zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a.
% 83.75/83.98 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.75/83.98 apply (zenon_L41_); trivial.
% 83.75/83.98 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.75/83.98 apply (zenon_L151_); trivial.
% 83.75/83.98 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.75/83.98 apply (zenon_L152_); trivial.
% 83.75/83.98 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ].
% 83.75/83.98 apply (zenon_L43_); trivial.
% 83.75/83.98 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ].
% 83.75/83.98 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ].
% 83.75/83.98 apply (zenon_L43_); trivial.
% 83.75/83.98 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ].
% 83.75/83.98 apply (zenon_or_s _ _ zenon_H48e); [ zenon_intro zenon_Hab | zenon_intro zenon_H494 ].
% 83.75/83.98 apply (zenon_L82_); trivial.
% 83.75/83.98 apply (zenon_or_s _ _ zenon_H494); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H495 ].
% 83.75/83.98 apply (zenon_L1014_); trivial.
% 83.75/83.98 apply (zenon_or_s _ _ zenon_H495); [ zenon_intro zenon_H120 | zenon_intro zenon_H74 ].
% 83.75/83.98 apply (zenon_L543_); trivial.
% 83.75/83.98 apply (zenon_L32_); trivial.
% 83.75/83.98 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ].
% 83.75/83.98 apply (zenon_L139_); trivial.
% 83.75/83.98 apply (zenon_L88_); trivial.
% 83.75/83.98 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ].
% 83.75/83.98 apply (zenon_L46_); trivial.
% 83.75/83.98 apply (zenon_L31_); trivial.
% 83.75/83.98 (* end of lemma zenon_L1015_ *)
% 83.75/83.98 assert (zenon_L1016_ : (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e20) = (e21))) -> ((op2 (e21) (e21)) = (e20)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((e11) = (e12))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((h1 (op1 (e12) (e11))) = (op2 (h1 (e12)) (h1 (e11))))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((e22) = (op2 (e20) (e20))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (op1 (e11) (e11))) = (e11))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> ((op2 (e20) (e21)) = (e23)) -> False).
% 83.75/83.98 do 0 intro. intros zenon_H141 zenon_Hc3 zenon_Had zenon_Hd2 zenon_H25 zenon_H14 zenon_H17 zenon_H1e zenon_H20d zenon_H163 zenon_H1bf zenon_H204 zenon_H2c zenon_H20a zenon_H16b zenon_H16 zenon_H173 zenon_H1f3 zenon_H1ee zenon_H200 zenon_H276 zenon_H2e zenon_H3f zenon_H1a9 zenon_H1a5 zenon_H1a0 zenon_H1ad zenon_H18e zenon_H1b6 zenon_H187 zenon_H16d zenon_H1ba zenon_H1b9 zenon_H176 zenon_H56 zenon_H50 zenon_H1c8 zenon_H6b2 zenon_H68b zenon_H78 zenon_H1fd zenon_H7a zenon_H1c9 zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H19a zenon_H1c2 zenon_H1b0 zenon_H45 zenon_H1f5 zenon_H1e8 zenon_H1cf zenon_H1d8 zenon_H1d4 zenon_H1dc zenon_H266 zenon_H1f4 zenon_H220 zenon_H61 zenon_H13e zenon_Hba zenon_Hb8.
% 83.75/83.98 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H139 | zenon_intro zenon_H147 ].
% 83.75/83.98 apply (zenon_L76_); trivial.
% 83.75/83.98 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_He1 | zenon_intro zenon_H148 ].
% 83.75/83.98 apply (zenon_L536_); trivial.
% 83.75/83.98 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_He5 | zenon_intro zenon_H10e ].
% 83.75/83.98 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ].
% 83.75/83.98 apply (zenon_L11_); trivial.
% 83.75/83.98 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ].
% 83.75/83.98 apply (zenon_L20_); trivial.
% 83.75/83.98 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ].
% 83.75/83.98 apply (zenon_L22_); trivial.
% 83.75/83.98 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ].
% 83.75/83.98 apply (zenon_L11_); trivial.
% 83.75/83.98 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ].
% 83.75/83.98 apply (zenon_L171_); trivial.
% 83.75/83.98 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ].
% 83.75/83.98 apply (zenon_L1007_); trivial.
% 83.75/83.98 apply (zenon_L138_); trivial.
% 83.75/83.98 apply (zenon_L78_); trivial.
% 83.75/83.98 (* end of lemma zenon_L1016_ *)
% 83.75/83.98 assert (zenon_L1017_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e22) (e20)) = (e20)) -> (~((e20) = (e23))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (op1 (e11) (e11))) = (e11))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> (~((h1 (op1 (e12) (e11))) = (op2 (h1 (e12)) (h1 (e11))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((e10) = (e12))) -> (~((e11) = (e12))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((e20) = (e22))) -> (~((e21) = (e22))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.75/83.98 do 0 intro. intros zenon_H15b zenon_Hd6 zenon_H21d zenon_H21e zenon_H48e zenon_H12f zenon_H134 zenon_H118 zenon_H112 zenon_H11b zenon_H129 zenon_H11f zenon_H12c zenon_H133 zenon_H102 zenon_Hbc zenon_Hb2 zenon_Hc9 zenon_He8 zenon_Hff zenon_Hef zenon_Hf7 zenon_Hd1 zenon_Hba zenon_H13e zenon_H61 zenon_H220 zenon_H1f4 zenon_H266 zenon_H1dc zenon_H1d4 zenon_H1d8 zenon_H1cf zenon_H1e8 zenon_H1f5 zenon_H45 zenon_H1b0 zenon_H1c2 zenon_H19a zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H1c9 zenon_H1fd zenon_H68b zenon_H6b2 zenon_H1c8 zenon_H50 zenon_H56 zenon_H176 zenon_H1b9 zenon_H1ba zenon_H16d zenon_H187 zenon_H1b6 zenon_H18e zenon_H1ad zenon_H1a0 zenon_H1a5 zenon_H1a9 zenon_H3f zenon_H2e zenon_H276 zenon_H200 zenon_H1ee zenon_H1f3 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25 zenon_H141 zenon_H14b zenon_H48b zenon_H140 zenon_Had zenon_H124 zenon_H142 zenon_Hdc zenon_Ha3 zenon_Ha8 zenon_Hce zenon_H91 zenon_H94 zenon_H14f zenon_H8e zenon_H73 zenon_H7c zenon_H82 zenon_H78 zenon_H15c zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a.
% 83.75/83.98 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.75/83.98 apply (zenon_L41_); trivial.
% 83.75/83.98 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.75/83.98 apply (zenon_L151_); trivial.
% 83.75/83.98 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.75/83.98 apply (zenon_L152_); trivial.
% 83.75/83.98 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ].
% 83.75/83.98 apply (zenon_L43_); trivial.
% 83.75/83.98 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ].
% 83.75/83.98 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ].
% 83.75/83.98 apply (zenon_L43_); trivial.
% 83.75/83.98 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ].
% 83.75/83.98 apply (zenon_or_s _ _ zenon_H48e); [ zenon_intro zenon_Hab | zenon_intro zenon_H494 ].
% 83.75/83.98 apply (zenon_L82_); trivial.
% 83.75/83.98 apply (zenon_or_s _ _ zenon_H494); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H495 ].
% 83.75/83.98 apply (zenon_L1016_); trivial.
% 83.75/83.98 apply (zenon_or_s _ _ zenon_H495); [ zenon_intro zenon_H120 | zenon_intro zenon_H74 ].
% 83.75/83.98 apply (zenon_L543_); trivial.
% 83.75/83.98 apply (zenon_L32_); trivial.
% 83.75/83.98 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ].
% 83.75/83.98 apply (zenon_L139_); trivial.
% 83.75/83.98 apply (zenon_L88_); trivial.
% 83.75/83.98 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ].
% 83.75/83.98 apply (zenon_L46_); trivial.
% 83.75/83.98 apply (zenon_L31_); trivial.
% 83.75/83.98 (* end of lemma zenon_L1017_ *)
% 83.75/83.98 assert (zenon_L1018_ : (~((h1 (op1 (e12) (e12))) = (op2 (h1 (e12)) (h1 (e12))))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((op1 (e12) (e12)) = (e13)) -> ((op2 (e22) (e22)) = (e23)) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((e22) = (op2 (e20) (e20))) -> False).
% 83.75/83.98 do 0 intro. intros zenon_H6bd zenon_H5c zenon_H1da zenon_H4cf zenon_H5d zenon_H68b zenon_H78.
% 83.75/83.98 cut (((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) = ((h1 (op1 (e12) (e12))) = (op2 (h1 (e12)) (h1 (e12))))).
% 83.75/83.98 intro zenon_D_pnotp.
% 83.75/83.98 apply zenon_H6bd.
% 83.75/83.98 rewrite <- zenon_D_pnotp.
% 83.75/83.98 exact zenon_H5c.
% 83.75/83.98 cut (((op2 (e20) (op2 (e20) (op2 (e20) (e20)))) = (op2 (h1 (e12)) (h1 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H6be].
% 83.75/83.98 cut (((h1 (e13)) = (h1 (op1 (e12) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H6bf].
% 83.75/83.98 congruence.
% 83.75/83.98 elim (classic ((h1 (op1 (e12) (e12))) = (h1 (op1 (e12) (e12))))); [ zenon_intro zenon_H6c0 | zenon_intro zenon_H6c1 ].
% 83.75/83.98 cut (((h1 (op1 (e12) (e12))) = (h1 (op1 (e12) (e12)))) = ((h1 (e13)) = (h1 (op1 (e12) (e12))))).
% 83.75/83.98 intro zenon_D_pnotp.
% 83.75/83.98 apply zenon_H6bf.
% 83.75/83.98 rewrite <- zenon_D_pnotp.
% 83.75/83.98 exact zenon_H6c0.
% 83.75/83.98 cut (((h1 (op1 (e12) (e12))) = (h1 (op1 (e12) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H6c1].
% 83.75/83.98 cut (((h1 (op1 (e12) (e12))) = (h1 (e13)))); [idtac | apply NNPP; zenon_intro zenon_H6c2].
% 83.75/83.98 congruence.
% 83.75/83.98 cut (((op1 (e12) (e12)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H2b1].
% 83.75/83.98 congruence.
% 83.75/83.98 exact (zenon_H2b1 zenon_H1da).
% 83.75/83.98 apply zenon_H6c1. apply refl_equal.
% 83.75/83.98 apply zenon_H6c1. apply refl_equal.
% 83.75/83.98 elim (classic ((op2 (h1 (e12)) (h1 (e12))) = (op2 (h1 (e12)) (h1 (e12))))); [ zenon_intro zenon_H6c3 | zenon_intro zenon_H6c4 ].
% 83.75/83.98 cut (((op2 (h1 (e12)) (h1 (e12))) = (op2 (h1 (e12)) (h1 (e12)))) = ((op2 (e20) (op2 (e20) (op2 (e20) (e20)))) = (op2 (h1 (e12)) (h1 (e12))))).
% 83.75/83.98 intro zenon_D_pnotp.
% 83.75/83.98 apply zenon_H6be.
% 83.75/83.98 rewrite <- zenon_D_pnotp.
% 83.75/83.98 exact zenon_H6c3.
% 83.75/83.98 cut (((op2 (h1 (e12)) (h1 (e12))) = (op2 (h1 (e12)) (h1 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H6c4].
% 83.75/83.98 cut (((op2 (h1 (e12)) (h1 (e12))) = (op2 (e20) (op2 (e20) (op2 (e20) (e20)))))); [idtac | apply NNPP; zenon_intro zenon_H6c5].
% 83.75/83.98 congruence.
% 83.75/83.98 cut (((op2 (e22) (e22)) = (e23)) = ((op2 (h1 (e12)) (h1 (e12))) = (op2 (e20) (op2 (e20) (op2 (e20) (e20)))))).
% 83.75/83.98 intro zenon_D_pnotp.
% 83.75/83.98 apply zenon_H6c5.
% 83.75/83.98 rewrite <- zenon_D_pnotp.
% 83.75/83.98 exact zenon_H4cf.
% 83.75/83.98 cut (((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20)))))); [idtac | apply NNPP; zenon_intro zenon_H21a].
% 83.75/83.98 cut (((op2 (e22) (e22)) = (op2 (h1 (e12)) (h1 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H6c6].
% 83.75/83.98 congruence.
% 83.75/83.98 elim (classic ((op2 (h1 (e12)) (h1 (e12))) = (op2 (h1 (e12)) (h1 (e12))))); [ zenon_intro zenon_H6c3 | zenon_intro zenon_H6c4 ].
% 83.75/83.98 cut (((op2 (h1 (e12)) (h1 (e12))) = (op2 (h1 (e12)) (h1 (e12)))) = ((op2 (e22) (e22)) = (op2 (h1 (e12)) (h1 (e12))))).
% 83.75/83.98 intro zenon_D_pnotp.
% 83.75/83.98 apply zenon_H6c6.
% 83.75/83.98 rewrite <- zenon_D_pnotp.
% 83.75/83.98 exact zenon_H6c3.
% 83.75/83.98 cut (((op2 (h1 (e12)) (h1 (e12))) = (op2 (h1 (e12)) (h1 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H6c4].
% 83.75/83.98 cut (((op2 (h1 (e12)) (h1 (e12))) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H6c7].
% 83.75/83.98 congruence.
% 83.75/83.98 cut (((h1 (e12)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H68a].
% 83.75/83.98 cut (((h1 (e12)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H68a].
% 83.75/83.98 congruence.
% 83.75/83.98 apply (zenon_L978_); trivial.
% 83.75/83.98 apply (zenon_L978_); trivial.
% 83.75/83.98 apply zenon_H6c4. apply refl_equal.
% 83.75/83.98 apply zenon_H6c4. apply refl_equal.
% 83.75/83.98 exact (zenon_H21a zenon_H5d).
% 83.75/83.98 apply zenon_H6c4. apply refl_equal.
% 83.75/83.98 apply zenon_H6c4. apply refl_equal.
% 83.75/83.98 (* end of lemma zenon_L1018_ *)
% 83.75/83.98 assert (zenon_L1019_ : ((op1 (e12) (e13)) = (e12)) -> ((op1 (e12) (e13)) = (e13)) -> (~((e12) = (e13))) -> False).
% 83.75/83.98 do 0 intro. intros zenon_H1b4 zenon_H363 zenon_H25a.
% 83.75/83.98 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H1ef | zenon_intro zenon_H1f0 ].
% 83.75/83.98 cut (((e13) = (e13)) = ((e12) = (e13))).
% 83.75/83.98 intro zenon_D_pnotp.
% 83.75/83.98 apply zenon_H25a.
% 83.75/83.98 rewrite <- zenon_D_pnotp.
% 83.75/83.98 exact zenon_H1ef.
% 83.75/83.98 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H1f0].
% 83.75/83.98 cut (((e13) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H25b].
% 83.75/83.98 congruence.
% 83.75/83.98 cut (((op1 (e12) (e13)) = (e12)) = ((e13) = (e12))).
% 83.75/83.98 intro zenon_D_pnotp.
% 83.75/83.98 apply zenon_H25b.
% 83.75/83.98 rewrite <- zenon_D_pnotp.
% 83.75/83.98 exact zenon_H1b4.
% 83.75/83.98 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2b].
% 83.75/83.98 cut (((op1 (e12) (e13)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H3f4].
% 83.75/83.98 congruence.
% 83.75/83.98 exact (zenon_H3f4 zenon_H363).
% 83.75/83.98 apply zenon_H2b. apply refl_equal.
% 83.75/83.98 apply zenon_H1f0. apply refl_equal.
% 83.75/83.98 apply zenon_H1f0. apply refl_equal.
% 83.75/83.98 (* end of lemma zenon_L1019_ *)
% 83.75/83.98 assert (zenon_L1020_ : (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> ((op1 (e13) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e13)) = (e12)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> False).
% 83.75/83.98 do 0 intro. intros zenon_H2e7 zenon_H169 zenon_H1c2 zenon_H195 zenon_H1bf zenon_H2da zenon_H2d9 zenon_H17 zenon_H14 zenon_H236.
% 83.75/83.98 apply (zenon_or_s _ _ zenon_H2e7); [ zenon_intro zenon_H197 | zenon_intro zenon_H2eb ].
% 83.75/83.98 apply (zenon_L114_); trivial.
% 83.75/83.98 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H2ec ].
% 83.75/83.98 apply (zenon_L113_); trivial.
% 83.75/83.98 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H198 | zenon_intro zenon_H235 ].
% 83.75/83.98 apply (zenon_L223_); trivial.
% 83.75/83.98 apply (zenon_L149_); trivial.
% 83.75/83.98 (* end of lemma zenon_L1020_ *)
% 83.75/83.98 assert (zenon_L1021_ : (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((e11) = (e12))) -> ((op1 (e11) (e13)) = (e11)) -> (~((e12) = (e13))) -> ((op1 (e12) (e13)) = (e13)) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> ((op1 (e13) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> False).
% 83.75/83.98 do 0 intro. intros zenon_H345 zenon_H49 zenon_H2c zenon_H2e zenon_H1eb zenon_H25a zenon_H363 zenon_H2e7 zenon_H169 zenon_H1c2 zenon_H195 zenon_H1bf zenon_H2d9 zenon_H17 zenon_H14 zenon_H236.
% 83.75/83.98 apply (zenon_or_s _ _ zenon_H345); [ zenon_intro zenon_H48 | zenon_intro zenon_H349 ].
% 83.75/83.98 apply (zenon_L14_); trivial.
% 83.75/83.98 apply (zenon_or_s _ _ zenon_H349); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H34a ].
% 83.75/83.98 apply (zenon_L125_); trivial.
% 83.75/83.98 apply (zenon_or_s _ _ zenon_H34a); [ zenon_intro zenon_H1b4 | zenon_intro zenon_H2da ].
% 83.75/83.98 apply (zenon_L1019_); trivial.
% 83.75/83.98 apply (zenon_L1020_); trivial.
% 83.75/83.98 (* end of lemma zenon_L1021_ *)
% 83.75/83.98 assert (zenon_L1022_ : (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e11) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((op1 (e12) (e10)) = (e10)) -> (~((e10) = (e13))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((e12) = (e13))) -> (~((e11) = (e12))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((h1 (op1 (e12) (e12))) = (op2 (h1 (e12)) (h1 (e12))))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((op2 (e22) (e22)) = (e23)) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((e22) = (op2 (e20) (e20))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 83.75/83.98 do 0 intro. intros zenon_H1f3 zenon_H173 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H1ee zenon_H20d zenon_H1ff zenon_H200 zenon_H276 zenon_H1c9 zenon_H3f zenon_H1a9 zenon_H1a5 zenon_H1ad zenon_H18e zenon_H1b6 zenon_H187 zenon_H16d zenon_H1ba zenon_H16 zenon_H1b9 zenon_H176 zenon_H56 zenon_H50 zenon_H1c8 zenon_H236 zenon_H2d9 zenon_H2e7 zenon_H25a zenon_H2e zenon_H345 zenon_H6bd zenon_H5c zenon_H4cf zenon_H5d zenon_H68b zenon_H78 zenon_H230 zenon_H365 zenon_H1a0 zenon_H1f4 zenon_H53 zenon_H19a zenon_H1c2 zenon_H163 zenon_H1b0 zenon_H4d zenon_H45 zenon_H3a zenon_H49 zenon_H1f5 zenon_H1e zenon_H17 zenon_H14 zenon_H25.
% 83.75/83.98 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H2d | zenon_intro zenon_H1f6 ].
% 83.75/83.98 apply (zenon_L7_); trivial.
% 83.75/83.98 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H162 | zenon_intro zenon_H1f7 ].
% 83.75/83.98 apply (zenon_L178_); trivial.
% 83.75/83.98 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H16c | zenon_intro zenon_H195 ].
% 83.75/83.98 apply (zenon_L93_); trivial.
% 83.75/83.98 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H18 | zenon_intro zenon_H174 ].
% 83.75/83.98 apply (zenon_L3_); trivial.
% 83.75/83.98 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H169 | zenon_intro zenon_H175 ].
% 83.75/83.98 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H18 | zenon_intro zenon_H1f8 ].
% 83.75/83.98 apply (zenon_L3_); trivial.
% 83.75/83.98 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1f9 ].
% 83.75/83.98 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_H161 | zenon_intro zenon_H27a ].
% 83.75/83.98 apply (zenon_L115_); trivial.
% 83.75/83.98 apply (zenon_or_s _ _ zenon_H27a); [ zenon_intro zenon_H177 | zenon_intro zenon_H27b ].
% 83.75/83.98 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H162 | zenon_intro zenon_H1fa ].
% 83.75/83.98 apply (zenon_L177_); trivial.
% 83.75/83.98 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H17e | zenon_intro zenon_H1fb ].
% 83.75/83.98 apply (zenon_L180_); trivial.
% 83.75/83.98 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H19f | zenon_intro zenon_H1eb ].
% 83.75/83.98 apply (zenon_L105_); trivial.
% 83.75/83.98 apply (zenon_or_s _ _ zenon_H365); [ zenon_intro zenon_H1d9 | zenon_intro zenon_H366 ].
% 83.75/83.98 apply (zenon_L131_); trivial.
% 83.75/83.98 apply (zenon_or_s _ _ zenon_H366); [ zenon_intro zenon_H22f | zenon_intro zenon_H367 ].
% 83.75/83.98 apply (zenon_L148_); trivial.
% 83.75/83.98 apply (zenon_or_s _ _ zenon_H367); [ zenon_intro zenon_H1da | zenon_intro zenon_H363 ].
% 83.75/83.98 apply (zenon_L1018_); trivial.
% 83.75/83.98 apply (zenon_L1021_); trivial.
% 83.75/83.98 apply (zenon_or_s _ _ zenon_H27b); [ zenon_intro zenon_H19b | zenon_intro zenon_H46 ].
% 83.75/83.98 apply (zenon_L181_); trivial.
% 83.75/83.98 apply (zenon_L15_); trivial.
% 83.75/83.98 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1d9 | zenon_intro zenon_H1ed ].
% 83.75/83.98 apply (zenon_L131_); trivial.
% 83.75/83.98 apply (zenon_L135_); trivial.
% 83.75/83.98 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H24 ].
% 83.75/83.98 apply (zenon_L4_); trivial.
% 83.75/83.98 apply (zenon_L5_); trivial.
% 83.75/83.98 (* end of lemma zenon_L1022_ *)
% 83.75/83.98 assert (zenon_L1023_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (op1 (e10) (e10))) = (e12))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((e22) = (op2 (e20) (e20))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((op2 (e22) (e22)) = (e23)) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((h1 (op1 (e12) (e12))) = (op2 (h1 (e12)) (h1 (e12))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 83.75/83.98 do 0 intro. intros zenon_H61 zenon_H220 zenon_H1e4 zenon_H1e0 zenon_H1dc zenon_H1d4 zenon_H1d8 zenon_H1cf zenon_H1e8 zenon_H1f5 zenon_H49 zenon_H3a zenon_H45 zenon_H4d zenon_H1b0 zenon_H1c2 zenon_H19a zenon_H53 zenon_H1f4 zenon_H1a0 zenon_H365 zenon_H230 zenon_H78 zenon_H68b zenon_H5d zenon_H4cf zenon_H5c zenon_H6bd zenon_H345 zenon_H2e zenon_H25a zenon_H2e7 zenon_H2d9 zenon_H236 zenon_H1c8 zenon_H50 zenon_H56 zenon_H176 zenon_H1b9 zenon_H1ba zenon_H16d zenon_H187 zenon_H1b6 zenon_H18e zenon_H1ad zenon_H1a5 zenon_H1a9 zenon_H3f zenon_H1c9 zenon_H276 zenon_H200 zenon_H1ee zenon_H1f3 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25.
% 83.75/83.98 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ].
% 83.75/83.98 apply (zenon_L11_); trivial.
% 83.75/83.98 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ].
% 83.75/83.98 apply (zenon_L20_); trivial.
% 83.75/83.98 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ].
% 83.75/83.98 apply (zenon_L22_); trivial.
% 83.75/83.98 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ].
% 83.75/83.98 apply (zenon_L11_); trivial.
% 83.75/83.98 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ].
% 83.75/83.98 apply (zenon_L129_); trivial.
% 83.75/83.98 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ].
% 83.75/83.98 apply (zenon_L1022_); trivial.
% 83.75/83.98 apply (zenon_L138_); trivial.
% 83.75/83.98 (* end of lemma zenon_L1023_ *)
% 83.75/83.98 assert (zenon_L1024_ : ((op2 (e23) (e22)) = (e20)) -> ((op2 (e23) (e22)) = (e23)) -> (~((e20) = (e23))) -> False).
% 83.75/83.98 do 0 intro. intros zenon_H121 zenon_H582 zenon_H21e.
% 83.75/83.98 elim (classic ((e23) = (e23))); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hd8 ].
% 83.75/83.98 cut (((e23) = (e23)) = ((e20) = (e23))).
% 83.75/83.98 intro zenon_D_pnotp.
% 83.75/83.98 apply zenon_H21e.
% 83.75/83.98 rewrite <- zenon_D_pnotp.
% 83.75/83.98 exact zenon_Hd7.
% 83.75/83.98 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_Hd8].
% 83.75/83.98 cut (((e23) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H21f].
% 83.75/83.98 congruence.
% 83.75/83.98 cut (((op2 (e23) (e22)) = (e20)) = ((e23) = (e20))).
% 83.75/83.98 intro zenon_D_pnotp.
% 83.75/83.98 apply zenon_H21f.
% 83.75/83.98 rewrite <- zenon_D_pnotp.
% 83.75/83.98 exact zenon_H121.
% 83.75/83.98 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H60].
% 83.75/83.98 cut (((op2 (e23) (e22)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H5f9].
% 83.75/83.98 congruence.
% 83.75/83.98 exact (zenon_H5f9 zenon_H582).
% 83.75/83.98 apply zenon_H60. apply refl_equal.
% 83.75/83.98 apply zenon_Hd8. apply refl_equal.
% 83.75/83.98 apply zenon_Hd8. apply refl_equal.
% 83.75/83.98 (* end of lemma zenon_L1024_ *)
% 83.75/83.98 assert (zenon_L1025_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e20) = (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> (~((e20) = (e23))) -> ((op2 (e23) (e22)) = (e23)) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.75/83.98 do 0 intro. intros zenon_H134 zenon_Hc3 zenon_H11b zenon_Had zenon_H13e zenon_H112 zenon_H118 zenon_Hba zenon_Hb2 zenon_Hc9 zenon_Hb8 zenon_H14b zenon_H21e zenon_H582 zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a.
% 83.75/83.98 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H10b | zenon_intro zenon_H137 ].
% 83.75/83.98 apply (zenon_L143_); trivial.
% 83.75/83.98 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H11e | zenon_intro zenon_H138 ].
% 83.75/83.98 apply (zenon_L81_); trivial.
% 83.75/83.98 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H121 | zenon_intro zenon_H95 ].
% 83.75/83.98 apply (zenon_L1024_); trivial.
% 83.75/83.98 apply (zenon_L36_); trivial.
% 83.75/83.98 (* end of lemma zenon_L1025_ *)
% 83.75/83.98 assert (zenon_L1026_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e21) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((e21) = (e23))) -> ((op2 (e22) (e20)) = (e20)) -> (~((e20) = (e23))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((e12) = (e13))) -> (~((e11) = (e12))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((h1 (op1 (e12) (e12))) = (op2 (h1 (e12)) (h1 (e12))))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (op1 (e10) (e10))) = (e12))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e20) = (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.75/83.98 do 0 intro. intros zenon_H15b zenon_Ha8 zenon_Hbc zenon_Hd6 zenon_H21d zenon_H21e zenon_H605 zenon_H129 zenon_H25 zenon_H14 zenon_H17 zenon_H1e zenon_H20d zenon_H163 zenon_H1bf zenon_H204 zenon_H2c zenon_H20a zenon_H16b zenon_H16 zenon_H173 zenon_H1f3 zenon_H1ee zenon_H200 zenon_H276 zenon_H1c9 zenon_H3f zenon_H1a9 zenon_H1a5 zenon_H1ad zenon_H18e zenon_H1b6 zenon_H187 zenon_H16d zenon_H1ba zenon_H1b9 zenon_H176 zenon_H56 zenon_H50 zenon_H1c8 zenon_H236 zenon_H2d9 zenon_H2e7 zenon_H25a zenon_H2e zenon_H345 zenon_H6bd zenon_H5c zenon_H68b zenon_H230 zenon_H365 zenon_H1a0 zenon_H1f4 zenon_H53 zenon_H19a zenon_H1c2 zenon_H1b0 zenon_H4d zenon_H45 zenon_H3a zenon_H49 zenon_H1f5 zenon_H1e8 zenon_H1cf zenon_H1d8 zenon_H1d4 zenon_H1dc zenon_H1e0 zenon_H1e4 zenon_H220 zenon_H61 zenon_H134 zenon_H11b zenon_Had zenon_H13e zenon_H112 zenon_H118 zenon_Hba zenon_Hb2 zenon_Hc9 zenon_H14b zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H78 zenon_H15c zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a.
% 83.75/83.98 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.75/83.98 apply (zenon_L41_); trivial.
% 83.75/83.98 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.75/83.98 apply (zenon_L151_); trivial.
% 83.75/83.98 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.75/83.98 apply (zenon_L47_); trivial.
% 83.75/83.98 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ].
% 83.75/83.98 apply (zenon_L43_); trivial.
% 83.75/83.98 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ].
% 83.75/83.98 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ].
% 83.75/83.98 apply (zenon_L43_); trivial.
% 83.75/83.98 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ].
% 83.75/83.98 apply (zenon_or_s _ _ zenon_H605); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H610 ].
% 83.75/83.98 apply (zenon_L46_); trivial.
% 83.75/83.98 apply (zenon_or_s _ _ zenon_H610); [ zenon_intro zenon_H12a | zenon_intro zenon_H611 ].
% 83.75/83.98 apply (zenon_L72_); trivial.
% 83.75/83.98 apply (zenon_or_s _ _ zenon_H611); [ zenon_intro zenon_H4cf | zenon_intro zenon_H582 ].
% 83.75/83.98 apply (zenon_L1023_); trivial.
% 83.75/83.98 apply (zenon_L1025_); trivial.
% 83.75/83.98 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ].
% 83.75/83.98 apply (zenon_L139_); trivial.
% 83.75/83.98 apply (zenon_L88_); trivial.
% 83.75/83.98 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ].
% 83.75/83.98 apply (zenon_L46_); trivial.
% 83.75/83.98 apply (zenon_L31_); trivial.
% 83.75/83.98 (* end of lemma zenon_L1026_ *)
% 83.75/83.98 assert (zenon_L1027_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> ((op1 (e12) (e10)) = (op1 (e10) (e12))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((e22) = (op2 (e20) (e20))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((op2 (e22) (e22)) = (e23)) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((h1 (op1 (e12) (e12))) = (op2 (h1 (e12)) (h1 (e12))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 83.75/83.99 do 0 intro. intros zenon_H220 zenon_H245 zenon_H249 zenon_H1f5 zenon_H49 zenon_H3a zenon_H45 zenon_H4d zenon_H1b0 zenon_H1c2 zenon_H19a zenon_H53 zenon_H1f4 zenon_H1a0 zenon_H365 zenon_H230 zenon_H78 zenon_H68b zenon_H5d zenon_H4cf zenon_H5c zenon_H6bd zenon_H345 zenon_H2e zenon_H25a zenon_H2e7 zenon_H2d9 zenon_H236 zenon_H1c8 zenon_H50 zenon_H56 zenon_H176 zenon_H1b9 zenon_H1ba zenon_H16d zenon_H187 zenon_H1b6 zenon_H18e zenon_H1ad zenon_H1a5 zenon_H1a9 zenon_H3f zenon_H1c9 zenon_H276 zenon_H200 zenon_H1ee zenon_H1f3 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25.
% 83.75/83.99 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ].
% 83.75/83.99 apply (zenon_L11_); trivial.
% 83.75/83.99 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ].
% 83.75/83.99 apply (zenon_L154_); trivial.
% 83.75/83.99 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ].
% 83.75/83.99 apply (zenon_L1022_); trivial.
% 83.75/83.99 apply (zenon_L138_); trivial.
% 83.75/83.99 (* end of lemma zenon_L1027_ *)
% 83.75/83.99 assert (zenon_L1028_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e21) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((e21) = (e23))) -> ((op2 (e22) (e20)) = (e20)) -> (~((e20) = (e23))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((e12) = (e13))) -> (~((e11) = (e12))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((h1 (op1 (e12) (e12))) = (op2 (h1 (e12)) (h1 (e12))))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> ((op1 (e12) (e10)) = (op1 (e10) (e12))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e20) = (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.75/83.99 do 0 intro. intros zenon_H15b zenon_Ha8 zenon_Hbc zenon_Hd6 zenon_H21d zenon_H21e zenon_H605 zenon_H129 zenon_H25 zenon_H14 zenon_H17 zenon_H1e zenon_H20d zenon_H163 zenon_H1bf zenon_H204 zenon_H2c zenon_H20a zenon_H16b zenon_H16 zenon_H173 zenon_H1f3 zenon_H1ee zenon_H200 zenon_H276 zenon_H1c9 zenon_H3f zenon_H1a9 zenon_H1a5 zenon_H1ad zenon_H18e zenon_H1b6 zenon_H187 zenon_H16d zenon_H1ba zenon_H1b9 zenon_H176 zenon_H56 zenon_H50 zenon_H1c8 zenon_H236 zenon_H2d9 zenon_H2e7 zenon_H25a zenon_H2e zenon_H345 zenon_H6bd zenon_H5c zenon_H68b zenon_H230 zenon_H365 zenon_H1a0 zenon_H1f4 zenon_H53 zenon_H19a zenon_H1c2 zenon_H1b0 zenon_H4d zenon_H45 zenon_H3a zenon_H49 zenon_H1f5 zenon_H249 zenon_H245 zenon_H220 zenon_H134 zenon_H11b zenon_Had zenon_H13e zenon_H112 zenon_H118 zenon_Hba zenon_Hb2 zenon_Hc9 zenon_H14b zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H78 zenon_H15c zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a.
% 83.75/83.99 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.75/83.99 apply (zenon_L41_); trivial.
% 83.75/83.99 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.75/83.99 apply (zenon_L151_); trivial.
% 83.75/83.99 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.75/83.99 apply (zenon_L47_); trivial.
% 83.75/83.99 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ].
% 83.75/83.99 apply (zenon_L43_); trivial.
% 83.75/83.99 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ].
% 83.75/83.99 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ].
% 83.75/83.99 apply (zenon_L43_); trivial.
% 83.75/83.99 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ].
% 83.75/83.99 apply (zenon_or_s _ _ zenon_H605); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H610 ].
% 83.75/83.99 apply (zenon_L46_); trivial.
% 83.75/83.99 apply (zenon_or_s _ _ zenon_H610); [ zenon_intro zenon_H12a | zenon_intro zenon_H611 ].
% 83.75/83.99 apply (zenon_L72_); trivial.
% 83.75/83.99 apply (zenon_or_s _ _ zenon_H611); [ zenon_intro zenon_H4cf | zenon_intro zenon_H582 ].
% 83.75/83.99 apply (zenon_L1027_); trivial.
% 83.75/83.99 apply (zenon_L1025_); trivial.
% 83.75/83.99 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ].
% 83.75/83.99 apply (zenon_L139_); trivial.
% 83.75/83.99 apply (zenon_L88_); trivial.
% 83.75/83.99 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ].
% 83.75/83.99 apply (zenon_L46_); trivial.
% 83.75/83.99 apply (zenon_L31_); trivial.
% 83.75/83.99 (* end of lemma zenon_L1028_ *)
% 83.75/83.99 assert (zenon_L1029_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e11) (op1 (e10) (e13))) = (e11))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e10)) = (op1 (e10) (e13))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((e22) = (op2 (e20) (e20))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((op2 (e22) (e22)) = (e23)) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((h1 (op1 (e12) (e12))) = (op2 (h1 (e12)) (h1 (e12))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 83.75/83.99 do 0 intro. intros zenon_H61 zenon_H220 zenon_H24d zenon_H256 zenon_H252 zenon_H253 zenon_H229 zenon_H1e4 zenon_H25d zenon_H1dc zenon_H1d4 zenon_H1d8 zenon_H1cf zenon_H1e8 zenon_H1f5 zenon_H49 zenon_H3a zenon_H45 zenon_H4d zenon_H1b0 zenon_H1c2 zenon_H19a zenon_H53 zenon_H1f4 zenon_H1a0 zenon_H365 zenon_H230 zenon_H78 zenon_H68b zenon_H5d zenon_H4cf zenon_H5c zenon_H6bd zenon_H345 zenon_H2e zenon_H25a zenon_H2e7 zenon_H2d9 zenon_H236 zenon_H1c8 zenon_H50 zenon_H56 zenon_H176 zenon_H1b9 zenon_H1ba zenon_H16d zenon_H187 zenon_H1b6 zenon_H18e zenon_H1ad zenon_H1a5 zenon_H1a9 zenon_H3f zenon_H1c9 zenon_H276 zenon_H200 zenon_H1ee zenon_H1f3 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25.
% 83.75/83.99 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ].
% 83.75/83.99 apply (zenon_L11_); trivial.
% 83.75/83.99 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ].
% 83.75/83.99 apply (zenon_L20_); trivial.
% 83.75/83.99 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ].
% 83.75/83.99 apply (zenon_L22_); trivial.
% 83.75/83.99 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ].
% 83.75/83.99 apply (zenon_L11_); trivial.
% 83.75/83.99 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ].
% 83.75/83.99 apply (zenon_L164_); trivial.
% 83.75/83.99 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ].
% 83.75/83.99 apply (zenon_L1022_); trivial.
% 83.75/83.99 apply (zenon_L138_); trivial.
% 83.75/83.99 (* end of lemma zenon_L1029_ *)
% 83.75/83.99 assert (zenon_L1030_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e21) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((e21) = (e23))) -> ((op2 (e22) (e20)) = (e20)) -> (~((e20) = (e23))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((e12) = (e13))) -> (~((e11) = (e12))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((h1 (op1 (e12) (e12))) = (op2 (h1 (e12)) (h1 (e12))))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e13) (e10)) = (op1 (e10) (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e11) (op1 (e10) (e13))) = (e11))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e20) = (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.75/83.99 do 0 intro. intros zenon_H15b zenon_Ha8 zenon_Hbc zenon_Hd6 zenon_H21d zenon_H21e zenon_H605 zenon_H129 zenon_H25 zenon_H14 zenon_H17 zenon_H1e zenon_H20d zenon_H163 zenon_H1bf zenon_H204 zenon_H2c zenon_H20a zenon_H16b zenon_H16 zenon_H173 zenon_H1f3 zenon_H1ee zenon_H200 zenon_H276 zenon_H1c9 zenon_H3f zenon_H1a9 zenon_H1a5 zenon_H1ad zenon_H18e zenon_H1b6 zenon_H187 zenon_H16d zenon_H1ba zenon_H1b9 zenon_H176 zenon_H56 zenon_H50 zenon_H1c8 zenon_H236 zenon_H2d9 zenon_H2e7 zenon_H25a zenon_H2e zenon_H345 zenon_H6bd zenon_H5c zenon_H68b zenon_H230 zenon_H365 zenon_H1a0 zenon_H1f4 zenon_H53 zenon_H19a zenon_H1c2 zenon_H1b0 zenon_H4d zenon_H45 zenon_H3a zenon_H49 zenon_H1f5 zenon_H1e8 zenon_H1cf zenon_H1d8 zenon_H1d4 zenon_H1dc zenon_H25d zenon_H1e4 zenon_H229 zenon_H253 zenon_H252 zenon_H256 zenon_H24d zenon_H220 zenon_H61 zenon_H134 zenon_H11b zenon_Had zenon_H13e zenon_H112 zenon_H118 zenon_Hba zenon_Hb2 zenon_Hc9 zenon_H14b zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H78 zenon_H15c zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a.
% 83.75/83.99 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.75/83.99 apply (zenon_L41_); trivial.
% 83.75/83.99 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.75/83.99 apply (zenon_L151_); trivial.
% 83.75/83.99 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.75/83.99 apply (zenon_L47_); trivial.
% 83.75/83.99 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ].
% 83.75/83.99 apply (zenon_L43_); trivial.
% 83.75/83.99 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ].
% 83.75/83.99 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ].
% 83.75/83.99 apply (zenon_L43_); trivial.
% 83.75/83.99 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ].
% 83.75/83.99 apply (zenon_or_s _ _ zenon_H605); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H610 ].
% 83.75/83.99 apply (zenon_L46_); trivial.
% 83.75/83.99 apply (zenon_or_s _ _ zenon_H610); [ zenon_intro zenon_H12a | zenon_intro zenon_H611 ].
% 83.75/83.99 apply (zenon_L72_); trivial.
% 83.75/83.99 apply (zenon_or_s _ _ zenon_H611); [ zenon_intro zenon_H4cf | zenon_intro zenon_H582 ].
% 83.75/83.99 apply (zenon_L1029_); trivial.
% 83.75/83.99 apply (zenon_L1025_); trivial.
% 83.75/83.99 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ].
% 83.75/83.99 apply (zenon_L139_); trivial.
% 83.75/83.99 apply (zenon_L88_); trivial.
% 83.75/83.99 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ].
% 83.75/83.99 apply (zenon_L46_); trivial.
% 83.75/83.99 apply (zenon_L31_); trivial.
% 83.75/83.99 (* end of lemma zenon_L1030_ *)
% 83.75/83.99 assert (zenon_L1031_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> ((op1 (e10) (e11)) = (op1 (e11) (e10))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((e22) = (op2 (e20) (e20))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((op2 (e22) (e22)) = (e23)) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((h1 (op1 (e12) (e12))) = (op2 (h1 (e12)) (h1 (e12))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 83.75/83.99 do 0 intro. intros zenon_H61 zenon_H220 zenon_H260 zenon_H1f5 zenon_H49 zenon_H3a zenon_H45 zenon_H4d zenon_H1b0 zenon_H1c2 zenon_H19a zenon_H53 zenon_H1f4 zenon_H1a0 zenon_H365 zenon_H230 zenon_H78 zenon_H68b zenon_H5d zenon_H4cf zenon_H5c zenon_H6bd zenon_H345 zenon_H2e zenon_H25a zenon_H2e7 zenon_H2d9 zenon_H236 zenon_H1c8 zenon_H50 zenon_H56 zenon_H176 zenon_H1b9 zenon_H1ba zenon_H16d zenon_H187 zenon_H1b6 zenon_H18e zenon_H1ad zenon_H1a5 zenon_H1a9 zenon_H3f zenon_H1c9 zenon_H276 zenon_H200 zenon_H1ee zenon_H1f3 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25.
% 83.75/83.99 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ].
% 83.75/83.99 apply (zenon_L11_); trivial.
% 83.75/83.99 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ].
% 83.75/83.99 apply (zenon_L20_); trivial.
% 83.75/83.99 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ].
% 83.75/83.99 apply (zenon_L22_); trivial.
% 83.75/83.99 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ].
% 83.75/83.99 apply (zenon_L11_); trivial.
% 83.75/83.99 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ].
% 83.75/83.99 apply (zenon_L167_); trivial.
% 83.75/83.99 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ].
% 83.75/83.99 apply (zenon_L1022_); trivial.
% 83.75/83.99 apply (zenon_L138_); trivial.
% 83.75/83.99 (* end of lemma zenon_L1031_ *)
% 83.75/83.99 assert (zenon_L1032_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e21) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((e21) = (e23))) -> ((op2 (e22) (e20)) = (e20)) -> (~((e20) = (e23))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((e12) = (e13))) -> (~((e11) = (e12))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((h1 (op1 (e12) (e12))) = (op2 (h1 (e12)) (h1 (e12))))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> ((op1 (e10) (e11)) = (op1 (e11) (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e20) = (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.75/83.99 do 0 intro. intros zenon_H15b zenon_Ha8 zenon_Hbc zenon_Hd6 zenon_H21d zenon_H21e zenon_H605 zenon_H129 zenon_H25 zenon_H14 zenon_H17 zenon_H1e zenon_H20d zenon_H163 zenon_H1bf zenon_H204 zenon_H2c zenon_H20a zenon_H16b zenon_H16 zenon_H173 zenon_H1f3 zenon_H1ee zenon_H200 zenon_H276 zenon_H1c9 zenon_H3f zenon_H1a9 zenon_H1a5 zenon_H1ad zenon_H18e zenon_H1b6 zenon_H187 zenon_H16d zenon_H1ba zenon_H1b9 zenon_H176 zenon_H56 zenon_H50 zenon_H1c8 zenon_H236 zenon_H2d9 zenon_H2e7 zenon_H25a zenon_H2e zenon_H345 zenon_H6bd zenon_H5c zenon_H68b zenon_H230 zenon_H365 zenon_H1a0 zenon_H1f4 zenon_H53 zenon_H19a zenon_H1c2 zenon_H1b0 zenon_H4d zenon_H45 zenon_H3a zenon_H49 zenon_H1f5 zenon_H260 zenon_H220 zenon_H61 zenon_H134 zenon_H11b zenon_Had zenon_H13e zenon_H112 zenon_H118 zenon_Hba zenon_Hb2 zenon_Hc9 zenon_H14b zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H78 zenon_H15c zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a.
% 83.75/83.99 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.75/83.99 apply (zenon_L41_); trivial.
% 83.75/83.99 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.75/83.99 apply (zenon_L151_); trivial.
% 83.75/83.99 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.75/83.99 apply (zenon_L47_); trivial.
% 83.75/83.99 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ].
% 83.75/83.99 apply (zenon_L43_); trivial.
% 83.75/83.99 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ].
% 83.75/83.99 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ].
% 83.75/83.99 apply (zenon_L43_); trivial.
% 83.75/83.99 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ].
% 83.75/83.99 apply (zenon_or_s _ _ zenon_H605); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H610 ].
% 83.75/83.99 apply (zenon_L46_); trivial.
% 83.75/83.99 apply (zenon_or_s _ _ zenon_H610); [ zenon_intro zenon_H12a | zenon_intro zenon_H611 ].
% 83.75/83.99 apply (zenon_L72_); trivial.
% 83.75/83.99 apply (zenon_or_s _ _ zenon_H611); [ zenon_intro zenon_H4cf | zenon_intro zenon_H582 ].
% 83.75/83.99 apply (zenon_L1031_); trivial.
% 83.75/83.99 apply (zenon_L1025_); trivial.
% 83.75/83.99 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ].
% 83.75/83.99 apply (zenon_L139_); trivial.
% 83.75/83.99 apply (zenon_L88_); trivial.
% 83.75/83.99 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ].
% 83.75/83.99 apply (zenon_L46_); trivial.
% 83.75/83.99 apply (zenon_L31_); trivial.
% 83.75/83.99 (* end of lemma zenon_L1032_ *)
% 83.75/83.99 assert (zenon_L1033_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e11) (op1 (e11) (e11))) = (e11))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((e22) = (op2 (e20) (e20))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((op2 (e22) (e22)) = (e23)) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((h1 (op1 (e12) (e12))) = (op2 (h1 (e12)) (h1 (e12))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e11) = (e12))) -> (~((e12) = (e13))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 83.75/83.99 do 0 intro. intros zenon_H61 zenon_H220 zenon_H266 zenon_H1dc zenon_H1d4 zenon_H1d8 zenon_H1cf zenon_H1e8 zenon_H1f5 zenon_H49 zenon_H3a zenon_H45 zenon_H4d zenon_H1b0 zenon_H1c2 zenon_H19a zenon_H53 zenon_H1f4 zenon_H1a0 zenon_H365 zenon_H230 zenon_H78 zenon_H68b zenon_H5d zenon_H4cf zenon_H5c zenon_H6bd zenon_H345 zenon_H2e zenon_H25a zenon_H2e7 zenon_H2d9 zenon_H236 zenon_H1c8 zenon_H50 zenon_H56 zenon_H176 zenon_H1b9 zenon_H1ba zenon_H16d zenon_H187 zenon_H1b6 zenon_H18e zenon_H1ad zenon_H1a5 zenon_H1a9 zenon_H3f zenon_H1c9 zenon_H276 zenon_H200 zenon_H1ee zenon_H1f3 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25.
% 83.75/83.99 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ].
% 83.75/83.99 apply (zenon_L11_); trivial.
% 83.75/83.99 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ].
% 83.75/83.99 apply (zenon_L20_); trivial.
% 83.75/83.99 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ].
% 83.75/83.99 apply (zenon_L22_); trivial.
% 83.75/83.99 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ].
% 83.75/83.99 apply (zenon_L11_); trivial.
% 83.75/83.99 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ].
% 83.75/83.99 apply (zenon_L171_); trivial.
% 83.75/83.99 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ].
% 83.75/83.99 apply (zenon_L1022_); trivial.
% 83.75/83.99 apply (zenon_L138_); trivial.
% 83.75/83.99 (* end of lemma zenon_L1033_ *)
% 83.75/83.99 assert (zenon_L1034_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e21) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((e21) = (e23))) -> ((op2 (e22) (e20)) = (e20)) -> (~((e20) = (e23))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((e12) = (e13))) -> (~((e11) = (e12))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((h1 (op1 (e12) (e12))) = (op2 (h1 (e12)) (h1 (e12))))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (op1 (e11) (e11))) = (e11))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e20) = (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.75/83.99 do 0 intro. intros zenon_H15b zenon_Ha8 zenon_Hbc zenon_Hd6 zenon_H21d zenon_H21e zenon_H605 zenon_H129 zenon_H25 zenon_H14 zenon_H17 zenon_H1e zenon_H20d zenon_H163 zenon_H1bf zenon_H204 zenon_H2c zenon_H20a zenon_H16b zenon_H16 zenon_H173 zenon_H1f3 zenon_H1ee zenon_H200 zenon_H276 zenon_H1c9 zenon_H3f zenon_H1a9 zenon_H1a5 zenon_H1ad zenon_H18e zenon_H1b6 zenon_H187 zenon_H16d zenon_H1ba zenon_H1b9 zenon_H176 zenon_H56 zenon_H50 zenon_H1c8 zenon_H236 zenon_H2d9 zenon_H2e7 zenon_H25a zenon_H2e zenon_H345 zenon_H6bd zenon_H5c zenon_H68b zenon_H230 zenon_H365 zenon_H1a0 zenon_H1f4 zenon_H53 zenon_H19a zenon_H1c2 zenon_H1b0 zenon_H4d zenon_H45 zenon_H3a zenon_H49 zenon_H1f5 zenon_H1e8 zenon_H1cf zenon_H1d8 zenon_H1d4 zenon_H1dc zenon_H266 zenon_H220 zenon_H61 zenon_H134 zenon_H11b zenon_Had zenon_H13e zenon_H112 zenon_H118 zenon_Hba zenon_Hb2 zenon_Hc9 zenon_H14b zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H78 zenon_H15c zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a.
% 83.75/83.99 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.75/83.99 apply (zenon_L41_); trivial.
% 83.75/83.99 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.75/83.99 apply (zenon_L151_); trivial.
% 83.75/83.99 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.75/83.99 apply (zenon_L47_); trivial.
% 83.75/83.99 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ].
% 83.75/83.99 apply (zenon_L43_); trivial.
% 83.75/83.99 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ].
% 83.75/83.99 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ].
% 83.75/83.99 apply (zenon_L43_); trivial.
% 83.75/83.99 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ].
% 83.75/83.99 apply (zenon_or_s _ _ zenon_H605); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H610 ].
% 83.75/83.99 apply (zenon_L46_); trivial.
% 83.75/83.99 apply (zenon_or_s _ _ zenon_H610); [ zenon_intro zenon_H12a | zenon_intro zenon_H611 ].
% 83.75/83.99 apply (zenon_L72_); trivial.
% 83.75/83.99 apply (zenon_or_s _ _ zenon_H611); [ zenon_intro zenon_H4cf | zenon_intro zenon_H582 ].
% 83.75/83.99 apply (zenon_L1033_); trivial.
% 83.75/83.99 apply (zenon_L1025_); trivial.
% 83.75/83.99 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ].
% 83.75/83.99 apply (zenon_L139_); trivial.
% 83.75/83.99 apply (zenon_L88_); trivial.
% 83.75/83.99 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ].
% 83.75/83.99 apply (zenon_L46_); trivial.
% 83.75/83.99 apply (zenon_L31_); trivial.
% 83.75/83.99 (* end of lemma zenon_L1034_ *)
% 83.75/83.99 assert (zenon_L1035_ : (~((h1 (op1 (e12) (e13))) = (op2 (h1 (e12)) (h1 (e13))))) -> ((op1 (e12) (e13)) = (e12)) -> ((op2 (e22) (e23)) = (e22)) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((e22) = (op2 (e20) (e20))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> False).
% 83.75/83.99 do 0 intro. intros zenon_H6c8 zenon_H1b4 zenon_Hfd zenon_H68b zenon_H78 zenon_H5c zenon_H5d.
% 83.75/83.99 cut (((h1 (e12)) = (op2 (e20) (e20))) = ((h1 (op1 (e12) (e13))) = (op2 (h1 (e12)) (h1 (e13))))).
% 83.75/83.99 intro zenon_D_pnotp.
% 83.75/83.99 apply zenon_H6c8.
% 83.75/83.99 rewrite <- zenon_D_pnotp.
% 83.75/83.99 exact zenon_H68b.
% 83.75/83.99 cut (((op2 (e20) (e20)) = (op2 (h1 (e12)) (h1 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H6c9].
% 83.75/83.99 cut (((h1 (e12)) = (h1 (op1 (e12) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H6ca].
% 83.75/83.99 congruence.
% 83.75/83.99 elim (classic ((h1 (op1 (e12) (e13))) = (h1 (op1 (e12) (e13))))); [ zenon_intro zenon_H6cb | zenon_intro zenon_H6cc ].
% 83.75/83.99 cut (((h1 (op1 (e12) (e13))) = (h1 (op1 (e12) (e13)))) = ((h1 (e12)) = (h1 (op1 (e12) (e13))))).
% 83.75/83.99 intro zenon_D_pnotp.
% 83.75/83.99 apply zenon_H6ca.
% 83.75/83.99 rewrite <- zenon_D_pnotp.
% 83.75/83.99 exact zenon_H6cb.
% 83.75/83.99 cut (((h1 (op1 (e12) (e13))) = (h1 (op1 (e12) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H6cc].
% 83.75/83.99 cut (((h1 (op1 (e12) (e13))) = (h1 (e12)))); [idtac | apply NNPP; zenon_intro zenon_H6cd].
% 83.75/83.99 congruence.
% 83.75/83.99 cut (((op1 (e12) (e13)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H1b5].
% 83.75/83.99 congruence.
% 83.75/83.99 exact (zenon_H1b5 zenon_H1b4).
% 83.75/83.99 apply zenon_H6cc. apply refl_equal.
% 83.75/83.99 apply zenon_H6cc. apply refl_equal.
% 83.75/83.99 elim (classic ((op2 (h1 (e12)) (h1 (e13))) = (op2 (h1 (e12)) (h1 (e13))))); [ zenon_intro zenon_H6ce | zenon_intro zenon_H6cf ].
% 83.75/83.99 cut (((op2 (h1 (e12)) (h1 (e13))) = (op2 (h1 (e12)) (h1 (e13)))) = ((op2 (e20) (e20)) = (op2 (h1 (e12)) (h1 (e13))))).
% 83.75/83.99 intro zenon_D_pnotp.
% 83.75/83.99 apply zenon_H6c9.
% 83.75/83.99 rewrite <- zenon_D_pnotp.
% 83.75/83.99 exact zenon_H6ce.
% 83.75/83.99 cut (((op2 (h1 (e12)) (h1 (e13))) = (op2 (h1 (e12)) (h1 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H6cf].
% 83.75/83.99 cut (((op2 (h1 (e12)) (h1 (e13))) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H6d0].
% 83.75/83.99 congruence.
% 83.75/83.99 cut (((op2 (e22) (e23)) = (e22)) = ((op2 (h1 (e12)) (h1 (e13))) = (op2 (e20) (e20)))).
% 83.75/83.99 intro zenon_D_pnotp.
% 83.75/83.99 apply zenon_H6d0.
% 83.75/83.99 rewrite <- zenon_D_pnotp.
% 83.75/83.99 exact zenon_Hfd.
% 83.75/83.99 cut (((e22) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H696].
% 83.75/83.99 cut (((op2 (e22) (e23)) = (op2 (h1 (e12)) (h1 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H6d1].
% 83.75/83.99 congruence.
% 83.75/83.99 elim (classic ((op2 (h1 (e12)) (h1 (e13))) = (op2 (h1 (e12)) (h1 (e13))))); [ zenon_intro zenon_H6ce | zenon_intro zenon_H6cf ].
% 83.75/83.99 cut (((op2 (h1 (e12)) (h1 (e13))) = (op2 (h1 (e12)) (h1 (e13)))) = ((op2 (e22) (e23)) = (op2 (h1 (e12)) (h1 (e13))))).
% 83.75/83.99 intro zenon_D_pnotp.
% 83.75/83.99 apply zenon_H6d1.
% 83.75/83.99 rewrite <- zenon_D_pnotp.
% 83.75/83.99 exact zenon_H6ce.
% 83.75/83.99 cut (((op2 (h1 (e12)) (h1 (e13))) = (op2 (h1 (e12)) (h1 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H6cf].
% 83.75/83.99 cut (((op2 (h1 (e12)) (h1 (e13))) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H6d2].
% 83.75/83.99 congruence.
% 83.75/83.99 cut (((h1 (e13)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H5b].
% 83.75/83.99 cut (((h1 (e12)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H68a].
% 83.75/83.99 congruence.
% 83.75/83.99 apply (zenon_L978_); trivial.
% 83.75/83.99 apply (zenon_L23_); trivial.
% 83.75/83.99 apply zenon_H6cf. apply refl_equal.
% 83.75/83.99 apply zenon_H6cf. apply refl_equal.
% 83.75/83.99 exact (zenon_H696 zenon_H78).
% 83.75/83.99 apply zenon_H6cf. apply refl_equal.
% 83.75/83.99 apply zenon_H6cf. apply refl_equal.
% 83.75/83.99 (* end of lemma zenon_L1035_ *)
% 83.75/83.99 assert (zenon_L1036_ : (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e11) = (e13))) -> ((op1 (e12) (e10)) = (e10)) -> (~((e10) = (e13))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((h1 (op1 (e12) (e13))) = (op2 (h1 (e12)) (h1 (e13))))) -> ((op2 (e22) (e23)) = (e22)) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((e22) = (op2 (e20) (e20))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((e11) = (e12))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e10) (e13)) = (e10)) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 83.75/83.99 do 0 intro. intros zenon_H1f3 zenon_H173 zenon_H1ee zenon_H1ff zenon_H200 zenon_H276 zenon_H1c9 zenon_H3f zenon_H1a9 zenon_H1a5 zenon_H1ad zenon_H18e zenon_H1b6 zenon_H187 zenon_H16d zenon_H1ba zenon_H16 zenon_H1b9 zenon_H176 zenon_H56 zenon_H50 zenon_H1c8 zenon_H236 zenon_H2d9 zenon_H2e7 zenon_H6c8 zenon_Hfd zenon_H68b zenon_H78 zenon_H5c zenon_H5d zenon_H2e zenon_H345 zenon_H1a0 zenon_H1f4 zenon_H2c zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H19a zenon_H1c2 zenon_H20d zenon_H163 zenon_H1bf zenon_H204 zenon_H20a zenon_H16b zenon_H1b0 zenon_H45 zenon_H42 zenon_H1f5 zenon_H1e zenon_H17 zenon_H14 zenon_H25.
% 83.75/83.99 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H2d | zenon_intro zenon_H1f6 ].
% 83.75/83.99 apply (zenon_L7_); trivial.
% 83.75/83.99 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H162 | zenon_intro zenon_H1f7 ].
% 83.75/83.99 apply (zenon_L178_); trivial.
% 83.75/83.99 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H16c | zenon_intro zenon_H195 ].
% 83.75/83.99 apply (zenon_L179_); trivial.
% 83.75/83.99 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H18 | zenon_intro zenon_H174 ].
% 83.75/83.99 apply (zenon_L3_); trivial.
% 83.75/83.99 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H169 | zenon_intro zenon_H175 ].
% 83.75/83.99 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H18 | zenon_intro zenon_H1f8 ].
% 83.75/83.99 apply (zenon_L3_); trivial.
% 83.75/83.99 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1f9 ].
% 83.75/83.99 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_H161 | zenon_intro zenon_H27a ].
% 83.75/83.99 apply (zenon_L115_); trivial.
% 83.75/83.99 apply (zenon_or_s _ _ zenon_H27a); [ zenon_intro zenon_H177 | zenon_intro zenon_H27b ].
% 83.75/83.99 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H162 | zenon_intro zenon_H1fa ].
% 83.75/83.99 apply (zenon_L177_); trivial.
% 83.75/83.99 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H17e | zenon_intro zenon_H1fb ].
% 83.75/83.99 apply (zenon_L180_); trivial.
% 83.75/83.99 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H19f | zenon_intro zenon_H1eb ].
% 83.75/83.99 apply (zenon_L105_); trivial.
% 83.75/83.99 apply (zenon_or_s _ _ zenon_H345); [ zenon_intro zenon_H48 | zenon_intro zenon_H349 ].
% 83.75/83.99 apply (zenon_L14_); trivial.
% 83.88/84.00 apply (zenon_or_s _ _ zenon_H349); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H34a ].
% 83.88/84.00 apply (zenon_L125_); trivial.
% 83.88/84.00 apply (zenon_or_s _ _ zenon_H34a); [ zenon_intro zenon_H1b4 | zenon_intro zenon_H2da ].
% 83.88/84.00 apply (zenon_L1035_); trivial.
% 83.88/84.00 apply (zenon_L1020_); trivial.
% 83.88/84.00 apply (zenon_or_s _ _ zenon_H27b); [ zenon_intro zenon_H19b | zenon_intro zenon_H46 ].
% 83.88/84.00 apply (zenon_L181_); trivial.
% 83.88/84.00 apply (zenon_L13_); trivial.
% 83.88/84.00 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1d9 | zenon_intro zenon_H1ed ].
% 83.88/84.00 apply (zenon_L131_); trivial.
% 83.88/84.00 apply (zenon_L128_); trivial.
% 83.88/84.00 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H24 ].
% 83.88/84.00 apply (zenon_L4_); trivial.
% 83.88/84.00 apply (zenon_L5_); trivial.
% 83.88/84.00 (* end of lemma zenon_L1036_ *)
% 83.88/84.00 assert (zenon_L1037_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (op1 (e10) (e10))) = (e12))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e11) = (e12))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e22) = (op2 (e20) (e20))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((op2 (e22) (e23)) = (e22)) -> (~((h1 (op1 (e12) (e13))) = (op2 (h1 (e12)) (h1 (e13))))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 83.88/84.00 do 0 intro. intros zenon_H61 zenon_H220 zenon_H1e4 zenon_H1e0 zenon_H1dc zenon_H1d4 zenon_H1d8 zenon_H1cf zenon_H1e8 zenon_H1f5 zenon_H45 zenon_H1b0 zenon_H1c2 zenon_H19a zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H1f4 zenon_H1a0 zenon_H345 zenon_H2e zenon_H5d zenon_H5c zenon_H78 zenon_H68b zenon_Hfd zenon_H6c8 zenon_H2e7 zenon_H2d9 zenon_H236 zenon_H1c8 zenon_H50 zenon_H56 zenon_H176 zenon_H1b9 zenon_H1ba zenon_H16d zenon_H187 zenon_H1b6 zenon_H18e zenon_H1ad zenon_H1a5 zenon_H1a9 zenon_H3f zenon_H1c9 zenon_H276 zenon_H200 zenon_H1ee zenon_H1f3 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25.
% 83.88/84.00 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ].
% 83.88/84.00 apply (zenon_L11_); trivial.
% 83.88/84.00 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ].
% 83.88/84.00 apply (zenon_L20_); trivial.
% 83.88/84.00 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ].
% 83.88/84.00 apply (zenon_L22_); trivial.
% 83.88/84.00 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ].
% 83.88/84.00 apply (zenon_L11_); trivial.
% 83.88/84.00 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ].
% 83.88/84.00 apply (zenon_L129_); trivial.
% 83.88/84.00 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ].
% 83.88/84.00 apply (zenon_L1036_); trivial.
% 83.88/84.00 apply (zenon_L138_); trivial.
% 83.88/84.00 (* end of lemma zenon_L1037_ *)
% 83.88/84.00 assert (zenon_L1038_ : (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((e21) = (e22))) -> ((op2 (e21) (e23)) = (e21)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((h1 (op1 (e12) (e13))) = (op2 (h1 (e12)) (h1 (e13))))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((e22) = (op2 (e20) (e20))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((e11) = (e12))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (op1 (e10) (e10))) = (e12))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> ((op2 (e23) (e22)) = (e20)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> False).
% 83.88/84.00 do 0 intro. intros zenon_H57f zenon_H82 zenon_Ha8 zenon_H13c zenon_H25 zenon_H14 zenon_H17 zenon_H1e zenon_H20d zenon_H163 zenon_H1bf zenon_H204 zenon_H2c zenon_H20a zenon_H16b zenon_H16 zenon_H173 zenon_H1f3 zenon_H1ee zenon_H200 zenon_H276 zenon_H1c9 zenon_H3f zenon_H1a9 zenon_H1a5 zenon_H1ad zenon_H18e zenon_H1b6 zenon_H187 zenon_H16d zenon_H1ba zenon_H1b9 zenon_H176 zenon_H56 zenon_H50 zenon_H1c8 zenon_H236 zenon_H2d9 zenon_H2e7 zenon_H6c8 zenon_H68b zenon_H78 zenon_H5c zenon_H2e zenon_H345 zenon_H1a0 zenon_H1f4 zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H19a zenon_H1c2 zenon_H1b0 zenon_H45 zenon_H1f5 zenon_H1e8 zenon_H1cf zenon_H1d8 zenon_H1d4 zenon_H1dc zenon_H1e0 zenon_H1e4 zenon_H220 zenon_H61 zenon_H515 zenon_H121 zenon_H50f zenon_H10c zenon_H13e zenon_H4fb zenon_H5d zenon_H7a zenon_H511.
% 83.88/84.00 apply (zenon_or_s _ _ zenon_H57f); [ zenon_intro zenon_H81 | zenon_intro zenon_H580 ].
% 83.88/84.00 apply (zenon_L29_); trivial.
% 83.88/84.00 apply (zenon_or_s _ _ zenon_H580); [ zenon_intro zenon_H130 | zenon_intro zenon_H581 ].
% 83.88/84.00 apply (zenon_L77_); trivial.
% 83.88/84.00 apply (zenon_or_s _ _ zenon_H581); [ zenon_intro zenon_Hfd | zenon_intro zenon_H4fc ].
% 83.88/84.00 apply (zenon_L1037_); trivial.
% 83.88/84.00 apply (zenon_L602_); trivial.
% 83.88/84.00 (* end of lemma zenon_L1038_ *)
% 83.88/84.00 assert (zenon_L1039_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e21) (e20)) = (e23)) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e20)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (op1 (e10) (e10))) = (e12))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e11) = (e12))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> (~((h1 (op1 (e12) (e13))) = (op2 (h1 (e12)) (h1 (e13))))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((e21) = (e22))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.88/84.00 do 0 intro. intros zenon_H140 zenon_Hd6 zenon_Hd5 zenon_Hd2 zenon_H124 zenon_H134 zenon_Hc3 zenon_H11b zenon_Had zenon_H112 zenon_H118 zenon_Hba zenon_Hb2 zenon_Hc9 zenon_Hb8 zenon_H14b zenon_H511 zenon_H4fb zenon_H13e zenon_H10c zenon_H50f zenon_H515 zenon_H61 zenon_H220 zenon_H1e4 zenon_H1e0 zenon_H1dc zenon_H1d4 zenon_H1d8 zenon_H1cf zenon_H1e8 zenon_H1f5 zenon_H45 zenon_H1b0 zenon_H1c2 zenon_H19a zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H1f4 zenon_H1a0 zenon_H345 zenon_H2e zenon_H5c zenon_H68b zenon_H6c8 zenon_H2e7 zenon_H2d9 zenon_H236 zenon_H1c8 zenon_H50 zenon_H56 zenon_H176 zenon_H1b9 zenon_H1ba zenon_H16d zenon_H187 zenon_H1b6 zenon_H18e zenon_H1ad zenon_H1a5 zenon_H1a9 zenon_H3f zenon_H1c9 zenon_H276 zenon_H200 zenon_H1ee zenon_H1f3 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25 zenon_Ha8 zenon_H57f zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a.
% 83.88/84.00 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ].
% 83.88/84.00 apply (zenon_L52_); trivial.
% 83.88/84.00 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ].
% 83.88/84.00 apply (zenon_L536_); trivial.
% 83.88/84.00 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ].
% 83.88/84.00 apply (zenon_L71_); trivial.
% 83.88/84.00 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H10b | zenon_intro zenon_H137 ].
% 83.88/84.00 apply (zenon_L143_); trivial.
% 83.88/84.00 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H11e | zenon_intro zenon_H138 ].
% 83.88/84.00 apply (zenon_L81_); trivial.
% 83.88/84.00 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H121 | zenon_intro zenon_H95 ].
% 83.88/84.00 apply (zenon_L1038_); trivial.
% 83.88/84.00 apply (zenon_L36_); trivial.
% 83.88/84.00 (* end of lemma zenon_L1039_ *)
% 83.88/84.00 assert (zenon_L1040_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e22) (e20)) = (e20)) -> (~((e20) = (e23))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((h1 (op1 (e12) (e13))) = (op2 (h1 (e12)) (h1 (e13))))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((e11) = (e12))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (op1 (e10) (e10))) = (e12))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((e20) = (e22))) -> (~((e21) = (e22))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.88/84.00 do 0 intro. intros zenon_H15b zenon_Hd6 zenon_H21d zenon_H21e zenon_H48e zenon_H12f zenon_H129 zenon_H11f zenon_H12c zenon_H133 zenon_H141 zenon_H102 zenon_Hbc zenon_He8 zenon_Hff zenon_Hef zenon_Hf7 zenon_Hd1 zenon_H57f zenon_H25 zenon_H14 zenon_H17 zenon_H1e zenon_H20d zenon_H163 zenon_H1bf zenon_H204 zenon_H2c zenon_H20a zenon_H16b zenon_H16 zenon_H173 zenon_H1f3 zenon_H1ee zenon_H200 zenon_H276 zenon_H1c9 zenon_H3f zenon_H1a9 zenon_H1a5 zenon_H1ad zenon_H18e zenon_H1b6 zenon_H187 zenon_H16d zenon_H1ba zenon_H1b9 zenon_H176 zenon_H56 zenon_H50 zenon_H1c8 zenon_H236 zenon_H2d9 zenon_H2e7 zenon_H6c8 zenon_H68b zenon_H5c zenon_H2e zenon_H345 zenon_H1a0 zenon_H1f4 zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H19a zenon_H1c2 zenon_H1b0 zenon_H45 zenon_H1f5 zenon_H1e8 zenon_H1cf zenon_H1d8 zenon_H1d4 zenon_H1dc zenon_H1e0 zenon_H1e4 zenon_H220 zenon_H61 zenon_H515 zenon_H50f zenon_H13e zenon_H4fb zenon_H511 zenon_Hc9 zenon_Hb2 zenon_Hba zenon_H118 zenon_H112 zenon_H11b zenon_H134 zenon_H14b zenon_H48b zenon_H140 zenon_Had zenon_H124 zenon_H142 zenon_Hdc zenon_Ha3 zenon_Ha8 zenon_Hce zenon_H91 zenon_H94 zenon_H14f zenon_H8e zenon_H73 zenon_H7c zenon_H82 zenon_H78 zenon_H15c zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a.
% 83.88/84.00 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.88/84.00 apply (zenon_L41_); trivial.
% 83.88/84.00 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.88/84.00 apply (zenon_L151_); trivial.
% 83.88/84.00 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.88/84.00 apply (zenon_L47_); trivial.
% 83.88/84.00 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ].
% 83.88/84.00 apply (zenon_L43_); trivial.
% 83.88/84.00 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ].
% 83.88/84.00 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ].
% 83.88/84.00 apply (zenon_L43_); trivial.
% 83.88/84.00 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ].
% 83.88/84.00 apply (zenon_or_s _ _ zenon_H48e); [ zenon_intro zenon_Hab | zenon_intro zenon_H494 ].
% 83.88/84.00 apply (zenon_L82_); trivial.
% 83.88/84.00 apply (zenon_or_s _ _ zenon_H494); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H495 ].
% 83.88/84.00 apply (zenon_L1039_); trivial.
% 83.88/84.00 apply (zenon_or_s _ _ zenon_H495); [ zenon_intro zenon_H120 | zenon_intro zenon_H74 ].
% 83.88/84.00 apply (zenon_L543_); trivial.
% 83.88/84.00 apply (zenon_L32_); trivial.
% 83.88/84.00 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ].
% 83.88/84.00 apply (zenon_L139_); trivial.
% 83.88/84.00 apply (zenon_L88_); trivial.
% 83.88/84.00 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ].
% 83.88/84.00 apply (zenon_L46_); trivial.
% 83.88/84.00 apply (zenon_L31_); trivial.
% 83.88/84.00 (* end of lemma zenon_L1040_ *)
% 83.88/84.00 assert (zenon_L1041_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> ((op1 (e12) (e10)) = (op1 (e10) (e12))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e11) = (e12))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e22) = (op2 (e20) (e20))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((op2 (e22) (e23)) = (e22)) -> (~((h1 (op1 (e12) (e13))) = (op2 (h1 (e12)) (h1 (e13))))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 83.88/84.00 do 0 intro. intros zenon_H61 zenon_H220 zenon_H245 zenon_H249 zenon_H1f5 zenon_H45 zenon_H1b0 zenon_H1c2 zenon_H19a zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H1f4 zenon_H1a0 zenon_H345 zenon_H2e zenon_H5d zenon_H5c zenon_H78 zenon_H68b zenon_Hfd zenon_H6c8 zenon_H2e7 zenon_H2d9 zenon_H236 zenon_H1c8 zenon_H50 zenon_H56 zenon_H176 zenon_H1b9 zenon_H1ba zenon_H16d zenon_H187 zenon_H1b6 zenon_H18e zenon_H1ad zenon_H1a5 zenon_H1a9 zenon_H3f zenon_H1c9 zenon_H276 zenon_H200 zenon_H1ee zenon_H1f3 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25.
% 83.88/84.00 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ].
% 83.88/84.00 apply (zenon_L11_); trivial.
% 83.88/84.00 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ].
% 83.88/84.00 apply (zenon_L20_); trivial.
% 83.88/84.00 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ].
% 83.88/84.00 apply (zenon_L22_); trivial.
% 83.88/84.00 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ].
% 83.88/84.00 apply (zenon_L11_); trivial.
% 83.88/84.00 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ].
% 83.88/84.00 apply (zenon_L154_); trivial.
% 83.88/84.00 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ].
% 83.88/84.00 apply (zenon_L1036_); trivial.
% 83.88/84.00 apply (zenon_L138_); trivial.
% 83.88/84.00 (* end of lemma zenon_L1041_ *)
% 83.88/84.00 assert (zenon_L1042_ : (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((e21) = (e22))) -> ((op2 (e21) (e23)) = (e21)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((h1 (op1 (e12) (e13))) = (op2 (h1 (e12)) (h1 (e13))))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((e22) = (op2 (e20) (e20))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((e11) = (e12))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> ((op1 (e12) (e10)) = (op1 (e10) (e12))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> ((op2 (e23) (e22)) = (e20)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> False).
% 83.88/84.00 do 0 intro. intros zenon_H57f zenon_H82 zenon_Ha8 zenon_H13c zenon_H25 zenon_H14 zenon_H17 zenon_H1e zenon_H20d zenon_H163 zenon_H1bf zenon_H204 zenon_H2c zenon_H20a zenon_H16b zenon_H16 zenon_H173 zenon_H1f3 zenon_H1ee zenon_H200 zenon_H276 zenon_H1c9 zenon_H3f zenon_H1a9 zenon_H1a5 zenon_H1ad zenon_H18e zenon_H1b6 zenon_H187 zenon_H16d zenon_H1ba zenon_H1b9 zenon_H176 zenon_H56 zenon_H50 zenon_H1c8 zenon_H236 zenon_H2d9 zenon_H2e7 zenon_H6c8 zenon_H68b zenon_H78 zenon_H5c zenon_H2e zenon_H345 zenon_H1a0 zenon_H1f4 zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H19a zenon_H1c2 zenon_H1b0 zenon_H45 zenon_H1f5 zenon_H249 zenon_H245 zenon_H220 zenon_H61 zenon_H515 zenon_H121 zenon_H50f zenon_H10c zenon_H13e zenon_H4fb zenon_H5d zenon_H7a zenon_H511.
% 83.88/84.00 apply (zenon_or_s _ _ zenon_H57f); [ zenon_intro zenon_H81 | zenon_intro zenon_H580 ].
% 83.88/84.00 apply (zenon_L29_); trivial.
% 83.88/84.00 apply (zenon_or_s _ _ zenon_H580); [ zenon_intro zenon_H130 | zenon_intro zenon_H581 ].
% 83.88/84.00 apply (zenon_L77_); trivial.
% 83.88/84.00 apply (zenon_or_s _ _ zenon_H581); [ zenon_intro zenon_Hfd | zenon_intro zenon_H4fc ].
% 83.88/84.00 apply (zenon_L1041_); trivial.
% 83.88/84.00 apply (zenon_L602_); trivial.
% 83.88/84.00 (* end of lemma zenon_L1042_ *)
% 83.88/84.00 assert (zenon_L1043_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e21) (e20)) = (e23)) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e20)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> ((op1 (e12) (e10)) = (op1 (e10) (e12))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e11) = (e12))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> (~((h1 (op1 (e12) (e13))) = (op2 (h1 (e12)) (h1 (e13))))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((e21) = (e22))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.88/84.00 do 0 intro. intros zenon_H140 zenon_Hd6 zenon_Hd5 zenon_Hd2 zenon_H124 zenon_H134 zenon_Hc3 zenon_H11b zenon_Had zenon_H112 zenon_H118 zenon_Hba zenon_Hb2 zenon_Hc9 zenon_Hb8 zenon_H14b zenon_H511 zenon_H4fb zenon_H13e zenon_H10c zenon_H50f zenon_H515 zenon_H61 zenon_H220 zenon_H245 zenon_H249 zenon_H1f5 zenon_H45 zenon_H1b0 zenon_H1c2 zenon_H19a zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H1f4 zenon_H1a0 zenon_H345 zenon_H2e zenon_H5c zenon_H68b zenon_H6c8 zenon_H2e7 zenon_H2d9 zenon_H236 zenon_H1c8 zenon_H50 zenon_H56 zenon_H176 zenon_H1b9 zenon_H1ba zenon_H16d zenon_H187 zenon_H1b6 zenon_H18e zenon_H1ad zenon_H1a5 zenon_H1a9 zenon_H3f zenon_H1c9 zenon_H276 zenon_H200 zenon_H1ee zenon_H1f3 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25 zenon_Ha8 zenon_H57f zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a.
% 83.88/84.00 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ].
% 83.88/84.00 apply (zenon_L52_); trivial.
% 83.88/84.00 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ].
% 83.88/84.00 apply (zenon_L536_); trivial.
% 83.88/84.00 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ].
% 83.88/84.00 apply (zenon_L71_); trivial.
% 83.88/84.00 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H10b | zenon_intro zenon_H137 ].
% 83.88/84.00 apply (zenon_L143_); trivial.
% 83.88/84.00 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H11e | zenon_intro zenon_H138 ].
% 83.88/84.00 apply (zenon_L81_); trivial.
% 83.88/84.00 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H121 | zenon_intro zenon_H95 ].
% 83.88/84.00 apply (zenon_L1042_); trivial.
% 83.88/84.00 apply (zenon_L36_); trivial.
% 83.88/84.00 (* end of lemma zenon_L1043_ *)
% 83.88/84.00 assert (zenon_L1044_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e22) (e20)) = (e20)) -> (~((e20) = (e23))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((h1 (op1 (e12) (e13))) = (op2 (h1 (e12)) (h1 (e13))))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((e11) = (e12))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> ((op1 (e12) (e10)) = (op1 (e10) (e12))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((e20) = (e22))) -> (~((e21) = (e22))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.88/84.00 do 0 intro. intros zenon_H15b zenon_Hd6 zenon_H21d zenon_H21e zenon_H48e zenon_H12f zenon_H129 zenon_H11f zenon_H12c zenon_H133 zenon_H141 zenon_H102 zenon_Hbc zenon_He8 zenon_Hff zenon_Hef zenon_Hf7 zenon_Hd1 zenon_H57f zenon_H25 zenon_H14 zenon_H17 zenon_H1e zenon_H20d zenon_H163 zenon_H1bf zenon_H204 zenon_H2c zenon_H20a zenon_H16b zenon_H16 zenon_H173 zenon_H1f3 zenon_H1ee zenon_H200 zenon_H276 zenon_H1c9 zenon_H3f zenon_H1a9 zenon_H1a5 zenon_H1ad zenon_H18e zenon_H1b6 zenon_H187 zenon_H16d zenon_H1ba zenon_H1b9 zenon_H176 zenon_H56 zenon_H50 zenon_H1c8 zenon_H236 zenon_H2d9 zenon_H2e7 zenon_H6c8 zenon_H68b zenon_H5c zenon_H2e zenon_H345 zenon_H1a0 zenon_H1f4 zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H19a zenon_H1c2 zenon_H1b0 zenon_H45 zenon_H1f5 zenon_H249 zenon_H245 zenon_H220 zenon_H61 zenon_H515 zenon_H50f zenon_H13e zenon_H4fb zenon_H511 zenon_Hc9 zenon_Hb2 zenon_Hba zenon_H118 zenon_H112 zenon_H11b zenon_H134 zenon_H14b zenon_H48b zenon_H140 zenon_Had zenon_H124 zenon_H142 zenon_Hdc zenon_Ha3 zenon_Ha8 zenon_Hce zenon_H91 zenon_H94 zenon_H14f zenon_H8e zenon_H73 zenon_H7c zenon_H82 zenon_H78 zenon_H15c zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a.
% 83.88/84.00 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.88/84.00 apply (zenon_L41_); trivial.
% 83.88/84.00 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.88/84.00 apply (zenon_L151_); trivial.
% 83.88/84.00 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.88/84.00 apply (zenon_L47_); trivial.
% 83.88/84.00 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ].
% 83.88/84.00 apply (zenon_L43_); trivial.
% 83.88/84.00 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ].
% 83.88/84.00 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ].
% 83.88/84.00 apply (zenon_L43_); trivial.
% 83.88/84.00 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ].
% 83.88/84.00 apply (zenon_or_s _ _ zenon_H48e); [ zenon_intro zenon_Hab | zenon_intro zenon_H494 ].
% 83.88/84.00 apply (zenon_L82_); trivial.
% 83.88/84.00 apply (zenon_or_s _ _ zenon_H494); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H495 ].
% 83.88/84.00 apply (zenon_L1043_); trivial.
% 83.88/84.00 apply (zenon_or_s _ _ zenon_H495); [ zenon_intro zenon_H120 | zenon_intro zenon_H74 ].
% 83.88/84.00 apply (zenon_L543_); trivial.
% 83.88/84.00 apply (zenon_L32_); trivial.
% 83.88/84.00 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ].
% 83.88/84.00 apply (zenon_L139_); trivial.
% 83.88/84.00 apply (zenon_L88_); trivial.
% 83.88/84.00 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ].
% 83.88/84.00 apply (zenon_L46_); trivial.
% 83.88/84.00 apply (zenon_L31_); trivial.
% 83.88/84.00 (* end of lemma zenon_L1044_ *)
% 83.88/84.00 assert (zenon_L1045_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e11) (op1 (e10) (e13))) = (e11))) -> (~((e12) = (e13))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e10)) = (op1 (e10) (e13))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e11) = (e12))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e22) = (op2 (e20) (e20))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((op2 (e22) (e23)) = (e22)) -> (~((h1 (op1 (e12) (e13))) = (op2 (h1 (e12)) (h1 (e13))))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 83.88/84.00 do 0 intro. intros zenon_H61 zenon_H220 zenon_H24d zenon_H25a zenon_H256 zenon_H252 zenon_H253 zenon_H229 zenon_H1e4 zenon_H25d zenon_H1dc zenon_H1d4 zenon_H1d8 zenon_H1cf zenon_H1e8 zenon_H1f5 zenon_H45 zenon_H1b0 zenon_H1c2 zenon_H19a zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H1f4 zenon_H1a0 zenon_H345 zenon_H2e zenon_H5d zenon_H5c zenon_H78 zenon_H68b zenon_Hfd zenon_H6c8 zenon_H2e7 zenon_H2d9 zenon_H236 zenon_H1c8 zenon_H50 zenon_H56 zenon_H176 zenon_H1b9 zenon_H1ba zenon_H16d zenon_H187 zenon_H1b6 zenon_H18e zenon_H1ad zenon_H1a5 zenon_H1a9 zenon_H3f zenon_H1c9 zenon_H276 zenon_H200 zenon_H1ee zenon_H1f3 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25.
% 83.88/84.00 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ].
% 83.88/84.00 apply (zenon_L11_); trivial.
% 83.88/84.00 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ].
% 83.88/84.00 apply (zenon_L20_); trivial.
% 83.88/84.00 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ].
% 83.88/84.00 apply (zenon_L22_); trivial.
% 83.88/84.00 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ].
% 83.88/84.00 apply (zenon_L11_); trivial.
% 83.88/84.00 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ].
% 83.88/84.00 apply (zenon_L164_); trivial.
% 83.88/84.00 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ].
% 83.88/84.00 apply (zenon_L1036_); trivial.
% 83.88/84.00 apply (zenon_L138_); trivial.
% 83.88/84.00 (* end of lemma zenon_L1045_ *)
% 83.88/84.00 assert (zenon_L1046_ : (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((e21) = (e22))) -> ((op2 (e21) (e23)) = (e21)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((h1 (op1 (e12) (e13))) = (op2 (h1 (e12)) (h1 (e13))))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((e22) = (op2 (e20) (e20))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((e11) = (e12))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e13) (e10)) = (op1 (e10) (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (op1 (e10) (e13))) = (e11))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> ((op2 (e23) (e22)) = (e20)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> False).
% 83.88/84.00 do 0 intro. intros zenon_H57f zenon_H82 zenon_Ha8 zenon_H13c zenon_H25 zenon_H14 zenon_H17 zenon_H1e zenon_H20d zenon_H163 zenon_H1bf zenon_H204 zenon_H2c zenon_H20a zenon_H16b zenon_H16 zenon_H173 zenon_H1f3 zenon_H1ee zenon_H200 zenon_H276 zenon_H1c9 zenon_H3f zenon_H1a9 zenon_H1a5 zenon_H1ad zenon_H18e zenon_H1b6 zenon_H187 zenon_H16d zenon_H1ba zenon_H1b9 zenon_H176 zenon_H56 zenon_H50 zenon_H1c8 zenon_H236 zenon_H2d9 zenon_H2e7 zenon_H6c8 zenon_H68b zenon_H78 zenon_H5c zenon_H2e zenon_H345 zenon_H1a0 zenon_H1f4 zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H19a zenon_H1c2 zenon_H1b0 zenon_H45 zenon_H1f5 zenon_H1e8 zenon_H1cf zenon_H1d8 zenon_H1d4 zenon_H1dc zenon_H25d zenon_H1e4 zenon_H229 zenon_H253 zenon_H252 zenon_H256 zenon_H25a zenon_H24d zenon_H220 zenon_H61 zenon_H515 zenon_H121 zenon_H50f zenon_H10c zenon_H13e zenon_H4fb zenon_H5d zenon_H7a zenon_H511.
% 83.88/84.00 apply (zenon_or_s _ _ zenon_H57f); [ zenon_intro zenon_H81 | zenon_intro zenon_H580 ].
% 83.88/84.01 apply (zenon_L29_); trivial.
% 83.88/84.01 apply (zenon_or_s _ _ zenon_H580); [ zenon_intro zenon_H130 | zenon_intro zenon_H581 ].
% 83.88/84.01 apply (zenon_L77_); trivial.
% 83.88/84.01 apply (zenon_or_s _ _ zenon_H581); [ zenon_intro zenon_Hfd | zenon_intro zenon_H4fc ].
% 83.88/84.01 apply (zenon_L1045_); trivial.
% 83.88/84.01 apply (zenon_L602_); trivial.
% 83.88/84.01 (* end of lemma zenon_L1046_ *)
% 83.88/84.01 assert (zenon_L1047_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e21) (e20)) = (e23)) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e20)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e11) (op1 (e10) (e13))) = (e11))) -> (~((e12) = (e13))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e10)) = (op1 (e10) (e13))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e11) = (e12))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> (~((h1 (op1 (e12) (e13))) = (op2 (h1 (e12)) (h1 (e13))))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((e21) = (e22))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.88/84.01 do 0 intro. intros zenon_H140 zenon_Hd6 zenon_Hd5 zenon_Hd2 zenon_H124 zenon_H134 zenon_Hc3 zenon_H11b zenon_Had zenon_H112 zenon_H118 zenon_Hba zenon_Hb2 zenon_Hc9 zenon_Hb8 zenon_H14b zenon_H511 zenon_H4fb zenon_H13e zenon_H10c zenon_H50f zenon_H515 zenon_H61 zenon_H220 zenon_H24d zenon_H25a zenon_H256 zenon_H252 zenon_H253 zenon_H229 zenon_H1e4 zenon_H25d zenon_H1dc zenon_H1d4 zenon_H1d8 zenon_H1cf zenon_H1e8 zenon_H1f5 zenon_H45 zenon_H1b0 zenon_H1c2 zenon_H19a zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H1f4 zenon_H1a0 zenon_H345 zenon_H2e zenon_H5c zenon_H68b zenon_H6c8 zenon_H2e7 zenon_H2d9 zenon_H236 zenon_H1c8 zenon_H50 zenon_H56 zenon_H176 zenon_H1b9 zenon_H1ba zenon_H16d zenon_H187 zenon_H1b6 zenon_H18e zenon_H1ad zenon_H1a5 zenon_H1a9 zenon_H3f zenon_H1c9 zenon_H276 zenon_H200 zenon_H1ee zenon_H1f3 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25 zenon_Ha8 zenon_H57f zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a.
% 83.88/84.01 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ].
% 83.88/84.01 apply (zenon_L52_); trivial.
% 83.88/84.01 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ].
% 83.88/84.01 apply (zenon_L536_); trivial.
% 83.88/84.01 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ].
% 83.88/84.01 apply (zenon_L71_); trivial.
% 83.88/84.01 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H10b | zenon_intro zenon_H137 ].
% 83.88/84.01 apply (zenon_L143_); trivial.
% 83.88/84.01 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H11e | zenon_intro zenon_H138 ].
% 83.88/84.01 apply (zenon_L81_); trivial.
% 83.88/84.01 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H121 | zenon_intro zenon_H95 ].
% 83.88/84.01 apply (zenon_L1046_); trivial.
% 83.88/84.01 apply (zenon_L36_); trivial.
% 83.88/84.01 (* end of lemma zenon_L1047_ *)
% 83.88/84.01 assert (zenon_L1048_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e22) (e20)) = (e20)) -> (~((e20) = (e23))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((h1 (op1 (e12) (e13))) = (op2 (h1 (e12)) (h1 (e13))))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((e11) = (e12))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e13) (e10)) = (op1 (e10) (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (op1 (e10) (e13))) = (e11))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((e20) = (e22))) -> (~((e21) = (e22))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.88/84.01 do 0 intro. intros zenon_H15b zenon_Hd6 zenon_H21d zenon_H21e zenon_H48e zenon_H12f zenon_H129 zenon_H11f zenon_H12c zenon_H133 zenon_H141 zenon_H102 zenon_Hbc zenon_He8 zenon_Hff zenon_Hef zenon_Hf7 zenon_Hd1 zenon_H57f zenon_H25 zenon_H14 zenon_H17 zenon_H1e zenon_H20d zenon_H163 zenon_H1bf zenon_H204 zenon_H2c zenon_H20a zenon_H16b zenon_H16 zenon_H173 zenon_H1f3 zenon_H1ee zenon_H200 zenon_H276 zenon_H1c9 zenon_H3f zenon_H1a9 zenon_H1a5 zenon_H1ad zenon_H18e zenon_H1b6 zenon_H187 zenon_H16d zenon_H1ba zenon_H1b9 zenon_H176 zenon_H56 zenon_H50 zenon_H1c8 zenon_H236 zenon_H2d9 zenon_H2e7 zenon_H6c8 zenon_H68b zenon_H5c zenon_H2e zenon_H345 zenon_H1a0 zenon_H1f4 zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H19a zenon_H1c2 zenon_H1b0 zenon_H45 zenon_H1f5 zenon_H1e8 zenon_H1cf zenon_H1d8 zenon_H1d4 zenon_H1dc zenon_H25d zenon_H1e4 zenon_H229 zenon_H253 zenon_H252 zenon_H256 zenon_H25a zenon_H24d zenon_H220 zenon_H61 zenon_H515 zenon_H50f zenon_H13e zenon_H4fb zenon_H511 zenon_Hc9 zenon_Hb2 zenon_Hba zenon_H118 zenon_H112 zenon_H11b zenon_H134 zenon_H14b zenon_H48b zenon_H140 zenon_Had zenon_H124 zenon_H142 zenon_Hdc zenon_Ha3 zenon_Ha8 zenon_Hce zenon_H91 zenon_H94 zenon_H14f zenon_H8e zenon_H73 zenon_H7c zenon_H82 zenon_H78 zenon_H15c zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a.
% 83.88/84.01 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.88/84.01 apply (zenon_L41_); trivial.
% 83.88/84.01 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.88/84.01 apply (zenon_L151_); trivial.
% 83.88/84.01 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.88/84.01 apply (zenon_L47_); trivial.
% 83.88/84.01 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ].
% 83.88/84.01 apply (zenon_L43_); trivial.
% 83.88/84.01 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ].
% 83.88/84.01 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ].
% 83.88/84.01 apply (zenon_L43_); trivial.
% 83.88/84.01 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ].
% 83.88/84.01 apply (zenon_or_s _ _ zenon_H48e); [ zenon_intro zenon_Hab | zenon_intro zenon_H494 ].
% 83.88/84.01 apply (zenon_L82_); trivial.
% 83.88/84.01 apply (zenon_or_s _ _ zenon_H494); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H495 ].
% 83.88/84.01 apply (zenon_L1047_); trivial.
% 83.88/84.01 apply (zenon_or_s _ _ zenon_H495); [ zenon_intro zenon_H120 | zenon_intro zenon_H74 ].
% 83.88/84.01 apply (zenon_L543_); trivial.
% 83.88/84.01 apply (zenon_L32_); trivial.
% 83.88/84.01 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ].
% 83.88/84.01 apply (zenon_L139_); trivial.
% 83.88/84.01 apply (zenon_L88_); trivial.
% 83.88/84.01 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ].
% 83.88/84.01 apply (zenon_L46_); trivial.
% 83.88/84.01 apply (zenon_L31_); trivial.
% 83.88/84.01 (* end of lemma zenon_L1048_ *)
% 83.88/84.01 assert (zenon_L1049_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> ((op1 (e10) (e11)) = (op1 (e11) (e10))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e11) = (e12))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e22) = (op2 (e20) (e20))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((op2 (e22) (e23)) = (e22)) -> (~((h1 (op1 (e12) (e13))) = (op2 (h1 (e12)) (h1 (e13))))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 83.88/84.01 do 0 intro. intros zenon_H61 zenon_H220 zenon_H260 zenon_H230 zenon_H1f5 zenon_H45 zenon_H1b0 zenon_H1c2 zenon_H19a zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H1f4 zenon_H1a0 zenon_H345 zenon_H2e zenon_H5d zenon_H5c zenon_H78 zenon_H68b zenon_Hfd zenon_H6c8 zenon_H2e7 zenon_H2d9 zenon_H236 zenon_H1c8 zenon_H50 zenon_H56 zenon_H176 zenon_H1b9 zenon_H1ba zenon_H16d zenon_H187 zenon_H1b6 zenon_H18e zenon_H1ad zenon_H1a5 zenon_H1a9 zenon_H3f zenon_H1c9 zenon_H276 zenon_H200 zenon_H1ee zenon_H1f3 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25.
% 83.88/84.01 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ].
% 83.88/84.01 apply (zenon_L11_); trivial.
% 83.88/84.01 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ].
% 83.88/84.01 apply (zenon_L20_); trivial.
% 83.88/84.01 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ].
% 83.88/84.01 apply (zenon_L22_); trivial.
% 83.88/84.01 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ].
% 83.88/84.01 apply (zenon_L11_); trivial.
% 83.88/84.01 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ].
% 83.88/84.01 apply (zenon_L167_); trivial.
% 83.88/84.01 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ].
% 83.88/84.01 apply (zenon_L1036_); trivial.
% 83.88/84.01 apply (zenon_L138_); trivial.
% 83.88/84.01 (* end of lemma zenon_L1049_ *)
% 83.88/84.01 assert (zenon_L1050_ : (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((e21) = (e22))) -> ((op2 (e21) (e23)) = (e21)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((h1 (op1 (e12) (e13))) = (op2 (h1 (e12)) (h1 (e13))))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((e22) = (op2 (e20) (e20))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((e11) = (e12))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e10) (e11)) = (op1 (e11) (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> ((op2 (e23) (e22)) = (e20)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> False).
% 83.88/84.01 do 0 intro. intros zenon_H57f zenon_H82 zenon_Ha8 zenon_H13c zenon_H25 zenon_H14 zenon_H17 zenon_H1e zenon_H20d zenon_H163 zenon_H1bf zenon_H204 zenon_H2c zenon_H20a zenon_H16b zenon_H16 zenon_H173 zenon_H1f3 zenon_H1ee zenon_H200 zenon_H276 zenon_H1c9 zenon_H3f zenon_H1a9 zenon_H1a5 zenon_H1ad zenon_H18e zenon_H1b6 zenon_H187 zenon_H16d zenon_H1ba zenon_H1b9 zenon_H176 zenon_H56 zenon_H50 zenon_H1c8 zenon_H236 zenon_H2d9 zenon_H2e7 zenon_H6c8 zenon_H68b zenon_H78 zenon_H5c zenon_H2e zenon_H345 zenon_H1a0 zenon_H1f4 zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H19a zenon_H1c2 zenon_H1b0 zenon_H45 zenon_H1f5 zenon_H230 zenon_H260 zenon_H220 zenon_H61 zenon_H515 zenon_H121 zenon_H50f zenon_H10c zenon_H13e zenon_H4fb zenon_H5d zenon_H7a zenon_H511.
% 83.88/84.01 apply (zenon_or_s _ _ zenon_H57f); [ zenon_intro zenon_H81 | zenon_intro zenon_H580 ].
% 83.88/84.01 apply (zenon_L29_); trivial.
% 83.88/84.01 apply (zenon_or_s _ _ zenon_H580); [ zenon_intro zenon_H130 | zenon_intro zenon_H581 ].
% 83.88/84.01 apply (zenon_L77_); trivial.
% 83.88/84.01 apply (zenon_or_s _ _ zenon_H581); [ zenon_intro zenon_Hfd | zenon_intro zenon_H4fc ].
% 83.88/84.01 apply (zenon_L1049_); trivial.
% 83.88/84.01 apply (zenon_L602_); trivial.
% 83.88/84.01 (* end of lemma zenon_L1050_ *)
% 83.88/84.01 assert (zenon_L1051_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e21) (e20)) = (e23)) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e20)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> ((op1 (e10) (e11)) = (op1 (e11) (e10))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e11) = (e12))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> (~((h1 (op1 (e12) (e13))) = (op2 (h1 (e12)) (h1 (e13))))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((e21) = (e22))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.88/84.01 do 0 intro. intros zenon_H140 zenon_Hd6 zenon_Hd5 zenon_Hd2 zenon_H124 zenon_H134 zenon_Hc3 zenon_H11b zenon_Had zenon_H112 zenon_H118 zenon_Hba zenon_Hb2 zenon_Hc9 zenon_Hb8 zenon_H14b zenon_H511 zenon_H4fb zenon_H13e zenon_H10c zenon_H50f zenon_H515 zenon_H61 zenon_H220 zenon_H260 zenon_H230 zenon_H1f5 zenon_H45 zenon_H1b0 zenon_H1c2 zenon_H19a zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H1f4 zenon_H1a0 zenon_H345 zenon_H2e zenon_H5c zenon_H68b zenon_H6c8 zenon_H2e7 zenon_H2d9 zenon_H236 zenon_H1c8 zenon_H50 zenon_H56 zenon_H176 zenon_H1b9 zenon_H1ba zenon_H16d zenon_H187 zenon_H1b6 zenon_H18e zenon_H1ad zenon_H1a5 zenon_H1a9 zenon_H3f zenon_H1c9 zenon_H276 zenon_H200 zenon_H1ee zenon_H1f3 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25 zenon_Ha8 zenon_H57f zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H78 zenon_H5d zenon_H7a zenon_H8a.
% 83.88/84.01 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ].
% 83.88/84.01 apply (zenon_L52_); trivial.
% 83.88/84.01 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ].
% 83.88/84.01 apply (zenon_L536_); trivial.
% 83.88/84.01 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ].
% 83.88/84.01 apply (zenon_L71_); trivial.
% 83.88/84.01 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H10b | zenon_intro zenon_H137 ].
% 83.88/84.01 apply (zenon_L143_); trivial.
% 83.88/84.01 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H11e | zenon_intro zenon_H138 ].
% 83.88/84.01 apply (zenon_L81_); trivial.
% 83.88/84.01 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H121 | zenon_intro zenon_H95 ].
% 83.88/84.01 apply (zenon_L1050_); trivial.
% 83.88/84.01 apply (zenon_L36_); trivial.
% 83.88/84.01 (* end of lemma zenon_L1051_ *)
% 83.88/84.01 assert (zenon_L1052_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e22) (e20)) = (e20)) -> (~((e20) = (e23))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((h1 (op1 (e12) (e13))) = (op2 (h1 (e12)) (h1 (e13))))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((e11) = (e12))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e10) (e11)) = (op1 (e11) (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((e20) = (e22))) -> (~((e21) = (e22))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.89/84.01 do 0 intro. intros zenon_H15b zenon_Hd6 zenon_H21d zenon_H21e zenon_H48e zenon_H12f zenon_H129 zenon_H11f zenon_H12c zenon_H133 zenon_H141 zenon_H102 zenon_Hbc zenon_He8 zenon_Hff zenon_Hef zenon_Hf7 zenon_Hd1 zenon_H57f zenon_H25 zenon_H14 zenon_H17 zenon_H1e zenon_H20d zenon_H163 zenon_H1bf zenon_H204 zenon_H2c zenon_H20a zenon_H16b zenon_H16 zenon_H173 zenon_H1f3 zenon_H1ee zenon_H200 zenon_H276 zenon_H1c9 zenon_H3f zenon_H1a9 zenon_H1a5 zenon_H1ad zenon_H18e zenon_H1b6 zenon_H187 zenon_H16d zenon_H1ba zenon_H1b9 zenon_H176 zenon_H56 zenon_H50 zenon_H1c8 zenon_H236 zenon_H2d9 zenon_H2e7 zenon_H6c8 zenon_H68b zenon_H5c zenon_H2e zenon_H345 zenon_H1a0 zenon_H1f4 zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H19a zenon_H1c2 zenon_H1b0 zenon_H45 zenon_H1f5 zenon_H230 zenon_H260 zenon_H220 zenon_H61 zenon_H515 zenon_H50f zenon_H13e zenon_H4fb zenon_H511 zenon_Hc9 zenon_Hb2 zenon_Hba zenon_H118 zenon_H112 zenon_H11b zenon_H134 zenon_H14b zenon_H48b zenon_H140 zenon_Had zenon_H124 zenon_H142 zenon_Hdc zenon_Ha3 zenon_Ha8 zenon_Hce zenon_H91 zenon_H94 zenon_H14f zenon_H8e zenon_H73 zenon_H7c zenon_H82 zenon_H78 zenon_H15c zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a.
% 83.89/84.01 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.89/84.01 apply (zenon_L41_); trivial.
% 83.89/84.01 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.89/84.01 apply (zenon_L151_); trivial.
% 83.89/84.01 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.89/84.01 apply (zenon_L152_); trivial.
% 83.89/84.01 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ].
% 83.89/84.01 apply (zenon_L43_); trivial.
% 83.89/84.01 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ].
% 83.89/84.01 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ].
% 83.89/84.01 apply (zenon_L43_); trivial.
% 83.89/84.01 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ].
% 83.89/84.01 apply (zenon_or_s _ _ zenon_H48e); [ zenon_intro zenon_Hab | zenon_intro zenon_H494 ].
% 83.89/84.01 apply (zenon_L82_); trivial.
% 83.89/84.01 apply (zenon_or_s _ _ zenon_H494); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H495 ].
% 83.89/84.01 apply (zenon_L1051_); trivial.
% 83.89/84.01 apply (zenon_or_s _ _ zenon_H495); [ zenon_intro zenon_H120 | zenon_intro zenon_H74 ].
% 83.89/84.01 apply (zenon_L543_); trivial.
% 83.89/84.01 apply (zenon_L32_); trivial.
% 83.89/84.01 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ].
% 83.89/84.01 apply (zenon_L139_); trivial.
% 83.89/84.01 apply (zenon_L88_); trivial.
% 83.89/84.01 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ].
% 83.89/84.01 apply (zenon_L46_); trivial.
% 83.89/84.01 apply (zenon_L31_); trivial.
% 83.89/84.01 (* end of lemma zenon_L1052_ *)
% 83.89/84.01 assert (zenon_L1053_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e11) (op1 (e11) (e11))) = (e11))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e11) = (e12))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e22) = (op2 (e20) (e20))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((op2 (e22) (e23)) = (e22)) -> (~((h1 (op1 (e12) (e13))) = (op2 (h1 (e12)) (h1 (e13))))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 83.89/84.01 do 0 intro. intros zenon_H61 zenon_H220 zenon_H266 zenon_H1dc zenon_H1d4 zenon_H1d8 zenon_H1cf zenon_H1e8 zenon_H1f5 zenon_H45 zenon_H1b0 zenon_H1c2 zenon_H19a zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H1f4 zenon_H1a0 zenon_H345 zenon_H2e zenon_H5d zenon_H5c zenon_H78 zenon_H68b zenon_Hfd zenon_H6c8 zenon_H2e7 zenon_H2d9 zenon_H236 zenon_H1c8 zenon_H50 zenon_H56 zenon_H176 zenon_H1b9 zenon_H1ba zenon_H16d zenon_H187 zenon_H1b6 zenon_H18e zenon_H1ad zenon_H1a5 zenon_H1a9 zenon_H3f zenon_H1c9 zenon_H276 zenon_H200 zenon_H1ee zenon_H1f3 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25.
% 83.89/84.01 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ].
% 83.89/84.01 apply (zenon_L11_); trivial.
% 83.89/84.01 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ].
% 83.89/84.01 apply (zenon_L20_); trivial.
% 83.89/84.01 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ].
% 83.89/84.01 apply (zenon_L22_); trivial.
% 83.89/84.01 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ].
% 83.89/84.01 apply (zenon_L11_); trivial.
% 83.89/84.01 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ].
% 83.89/84.01 apply (zenon_L171_); trivial.
% 83.89/84.01 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ].
% 83.89/84.01 apply (zenon_L1036_); trivial.
% 83.89/84.01 apply (zenon_L138_); trivial.
% 83.89/84.01 (* end of lemma zenon_L1053_ *)
% 83.89/84.01 assert (zenon_L1054_ : (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((e21) = (e22))) -> ((op2 (e21) (e23)) = (e21)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((h1 (op1 (e12) (e13))) = (op2 (h1 (e12)) (h1 (e13))))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((e22) = (op2 (e20) (e20))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((e11) = (e12))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (op1 (e11) (e11))) = (e11))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e21)) = (e22)) -> False).
% 83.89/84.01 do 0 intro. intros zenon_H57f zenon_H82 zenon_Ha8 zenon_H13c zenon_H25 zenon_H14 zenon_H17 zenon_H1e zenon_H20d zenon_H163 zenon_H1bf zenon_H204 zenon_H2c zenon_H20a zenon_H16b zenon_H16 zenon_H173 zenon_H1f3 zenon_H1ee zenon_H200 zenon_H276 zenon_H1c9 zenon_H3f zenon_H1a9 zenon_H1a5 zenon_H1ad zenon_H18e zenon_H1b6 zenon_H187 zenon_H16d zenon_H1ba zenon_H1b9 zenon_H176 zenon_H56 zenon_H50 zenon_H1c8 zenon_H236 zenon_H2d9 zenon_H2e7 zenon_H6c8 zenon_H68b zenon_H78 zenon_H5c zenon_H5d zenon_H2e zenon_H345 zenon_H1a0 zenon_H1f4 zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H19a zenon_H1c2 zenon_H1b0 zenon_H45 zenon_H1f5 zenon_H1e8 zenon_H1cf zenon_H1d8 zenon_H1d4 zenon_H1dc zenon_H266 zenon_H220 zenon_H61 zenon_H4fb zenon_H10f.
% 83.89/84.01 apply (zenon_or_s _ _ zenon_H57f); [ zenon_intro zenon_H81 | zenon_intro zenon_H580 ].
% 83.89/84.01 apply (zenon_L29_); trivial.
% 83.89/84.01 apply (zenon_or_s _ _ zenon_H580); [ zenon_intro zenon_H130 | zenon_intro zenon_H581 ].
% 83.89/84.01 apply (zenon_L77_); trivial.
% 83.89/84.01 apply (zenon_or_s _ _ zenon_H581); [ zenon_intro zenon_Hfd | zenon_intro zenon_H4fc ].
% 83.89/84.01 apply (zenon_L1053_); trivial.
% 83.89/84.01 apply (zenon_L593_); trivial.
% 83.89/84.01 (* end of lemma zenon_L1054_ *)
% 83.89/84.01 assert (zenon_L1055_ : (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e11) (op1 (e11) (e11))) = (e11))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e11) = (e12))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> (~((h1 (op1 (e12) (e13))) = (op2 (h1 (e12)) (h1 (e13))))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((op2 (e21) (e23)) = (e21)) -> (~((e21) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e21) (e20)) = (e23)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> ((op2 (e23) (e22)) = (e20)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> False).
% 83.89/84.01 do 0 intro. intros zenon_H518 zenon_H509 zenon_H61 zenon_H220 zenon_H266 zenon_H1dc zenon_H1d4 zenon_H1d8 zenon_H1cf zenon_H1e8 zenon_H1f5 zenon_H45 zenon_H1b0 zenon_H1c2 zenon_H19a zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H1f4 zenon_H1a0 zenon_H345 zenon_H2e zenon_H5c zenon_H68b zenon_H6c8 zenon_H2e7 zenon_H2d9 zenon_H236 zenon_H1c8 zenon_H50 zenon_H56 zenon_H176 zenon_H1b9 zenon_H1ba zenon_H16d zenon_H187 zenon_H1b6 zenon_H18e zenon_H1ad zenon_H1a5 zenon_H1a9 zenon_H3f zenon_H1c9 zenon_H276 zenon_H200 zenon_H1ee zenon_H1f3 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25 zenon_H13c zenon_Ha8 zenon_H82 zenon_H57f zenon_Hd5 zenon_H129 zenon_H11f zenon_H78 zenon_H124 zenon_H12c zenon_H515 zenon_H121 zenon_H50f zenon_H10c zenon_H13e zenon_H4fb zenon_H5d zenon_H7a zenon_H511.
% 83.89/84.01 apply (zenon_or_s _ _ zenon_H518); [ zenon_intro zenon_H508 | zenon_intro zenon_H519 ].
% 83.89/84.01 apply (zenon_L597_); trivial.
% 83.89/84.01 apply (zenon_or_s _ _ zenon_H519); [ zenon_intro zenon_H10f | zenon_intro zenon_H51a ].
% 83.89/84.01 apply (zenon_L1054_); trivial.
% 83.89/84.01 apply (zenon_or_s _ _ zenon_H51a); [ zenon_intro zenon_H50d | zenon_intro zenon_H4fc ].
% 83.89/84.01 apply (zenon_L599_); trivial.
% 83.89/84.01 apply (zenon_L602_); trivial.
% 83.89/84.01 (* end of lemma zenon_L1055_ *)
% 83.89/84.01 assert (zenon_L1056_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e22) (e20)) = (e20)) -> (~((e20) = (e23))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e11) (op1 (e11) (e11))) = (e11))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e11) = (e12))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> (~((h1 (op1 (e12) (e13))) = (op2 (h1 (e12)) (h1 (e13))))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((e20) = (e22))) -> (~((e21) = (e22))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.89/84.01 do 0 intro. intros zenon_H15b zenon_Hd6 zenon_H21d zenon_H21e zenon_H48e zenon_H12f zenon_H133 zenon_H141 zenon_H102 zenon_Hbc zenon_He8 zenon_Hff zenon_Hef zenon_Hf7 zenon_Hd1 zenon_H518 zenon_H509 zenon_H61 zenon_H220 zenon_H266 zenon_H1dc zenon_H1d4 zenon_H1d8 zenon_H1cf zenon_H1e8 zenon_H1f5 zenon_H45 zenon_H1b0 zenon_H1c2 zenon_H19a zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H1f4 zenon_H1a0 zenon_H345 zenon_H2e zenon_H5c zenon_H68b zenon_H6c8 zenon_H2e7 zenon_H2d9 zenon_H236 zenon_H1c8 zenon_H50 zenon_H56 zenon_H176 zenon_H1b9 zenon_H1ba zenon_H16d zenon_H187 zenon_H1b6 zenon_H18e zenon_H1ad zenon_H1a5 zenon_H1a9 zenon_H3f zenon_H1c9 zenon_H276 zenon_H200 zenon_H1ee zenon_H1f3 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25 zenon_H57f zenon_H129 zenon_H11f zenon_H12c zenon_H515 zenon_H50f zenon_H13e zenon_H4fb zenon_H511 zenon_Hc9 zenon_Hb2 zenon_Hba zenon_H118 zenon_H112 zenon_H11b zenon_H134 zenon_H14b zenon_H48b zenon_H140 zenon_Had zenon_H124 zenon_H142 zenon_Hdc zenon_Ha3 zenon_Ha8 zenon_Hce zenon_H91 zenon_H94 zenon_H14f zenon_H8e zenon_H73 zenon_H7c zenon_H82 zenon_H78 zenon_H15c zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a.
% 83.89/84.01 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.89/84.01 apply (zenon_L41_); trivial.
% 83.89/84.01 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.89/84.01 apply (zenon_L151_); trivial.
% 83.89/84.01 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.89/84.01 apply (zenon_L152_); trivial.
% 83.89/84.01 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ].
% 83.89/84.01 apply (zenon_L43_); trivial.
% 83.89/84.01 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ].
% 83.89/84.01 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ].
% 83.89/84.01 apply (zenon_L43_); trivial.
% 83.89/84.01 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ].
% 83.89/84.01 apply (zenon_or_s _ _ zenon_H48e); [ zenon_intro zenon_Hab | zenon_intro zenon_H494 ].
% 83.89/84.01 apply (zenon_L82_); trivial.
% 83.89/84.01 apply (zenon_or_s _ _ zenon_H494); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H495 ].
% 83.89/84.01 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ].
% 83.89/84.01 apply (zenon_L52_); trivial.
% 83.89/84.01 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ].
% 83.89/84.01 apply (zenon_L536_); trivial.
% 83.89/84.01 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ].
% 83.89/84.01 apply (zenon_L71_); trivial.
% 83.89/84.01 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H10b | zenon_intro zenon_H137 ].
% 83.89/84.01 apply (zenon_L143_); trivial.
% 83.89/84.01 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H11e | zenon_intro zenon_H138 ].
% 83.89/84.01 apply (zenon_L81_); trivial.
% 83.89/84.01 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H121 | zenon_intro zenon_H95 ].
% 83.89/84.01 apply (zenon_L1055_); trivial.
% 83.89/84.01 apply (zenon_L36_); trivial.
% 83.89/84.01 apply (zenon_or_s _ _ zenon_H495); [ zenon_intro zenon_H120 | zenon_intro zenon_H74 ].
% 83.89/84.01 apply (zenon_L543_); trivial.
% 83.89/84.01 apply (zenon_L32_); trivial.
% 83.89/84.01 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ].
% 83.89/84.01 apply (zenon_L139_); trivial.
% 83.89/84.01 apply (zenon_L88_); trivial.
% 83.89/84.01 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ].
% 83.89/84.01 apply (zenon_L46_); trivial.
% 83.89/84.01 apply (zenon_L31_); trivial.
% 83.89/84.01 (* end of lemma zenon_L1056_ *)
% 83.89/84.01 assert (zenon_L1057_ : (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e11) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e10) = (e11))) -> ((op1 (e12) (e10)) = (e10)) -> (~((h1 (op1 (e13) (e10))) = (op2 (h1 (e13)) (h1 (e10))))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> ((op2 (e23) (e20)) = (e21)) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((h1 (e10)) = (e20)) -> False).
% 83.89/84.01 do 0 intro. intros zenon_H1f3 zenon_H2e zenon_H25 zenon_H14 zenon_H17 zenon_H1e zenon_H1f5 zenon_H16 zenon_H200 zenon_H20d zenon_H1ee zenon_H1bf zenon_H204 zenon_H2c zenon_H20a zenon_H16b zenon_H173 zenon_H163 zenon_H1ff zenon_H6d3 zenon_H1fd zenon_H10c zenon_H7a zenon_H5c zenon_H5d zenon_H64.
% 83.89/84.01 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H2d | zenon_intro zenon_H1f6 ].
% 83.89/84.01 apply (zenon_L7_); trivial.
% 83.89/84.01 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H162 | zenon_intro zenon_H1f7 ].
% 83.89/84.01 apply (zenon_L178_); trivial.
% 83.89/84.01 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H16c | zenon_intro zenon_H195 ].
% 83.89/84.01 apply (zenon_L179_); trivial.
% 83.89/84.01 cut (((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) = ((h1 (op1 (e13) (e10))) = (op2 (h1 (e13)) (h1 (e10))))).
% 83.89/84.01 intro zenon_D_pnotp.
% 83.89/84.01 apply zenon_H6d3.
% 83.89/84.01 rewrite <- zenon_D_pnotp.
% 83.89/84.01 exact zenon_H1fd.
% 83.89/84.01 cut (((op2 (e20) (op2 (e20) (e20))) = (op2 (h1 (e13)) (h1 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H6d4].
% 83.89/84.01 cut (((h1 (e11)) = (h1 (op1 (e13) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H6d5].
% 83.89/84.01 congruence.
% 83.89/84.01 elim (classic ((h1 (op1 (e13) (e10))) = (h1 (op1 (e13) (e10))))); [ zenon_intro zenon_H6d6 | zenon_intro zenon_H6d7 ].
% 83.89/84.01 cut (((h1 (op1 (e13) (e10))) = (h1 (op1 (e13) (e10)))) = ((h1 (e11)) = (h1 (op1 (e13) (e10))))).
% 83.89/84.01 intro zenon_D_pnotp.
% 83.89/84.01 apply zenon_H6d5.
% 83.89/84.01 rewrite <- zenon_D_pnotp.
% 83.89/84.01 exact zenon_H6d6.
% 83.89/84.01 cut (((h1 (op1 (e13) (e10))) = (h1 (op1 (e13) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H6d7].
% 83.89/84.01 cut (((h1 (op1 (e13) (e10))) = (h1 (e11)))); [idtac | apply NNPP; zenon_intro zenon_H6d8].
% 83.89/84.01 congruence.
% 83.89/84.01 cut (((op1 (e13) (e10)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H196].
% 83.89/84.01 congruence.
% 83.89/84.01 exact (zenon_H196 zenon_H195).
% 83.89/84.01 apply zenon_H6d7. apply refl_equal.
% 83.89/84.01 apply zenon_H6d7. apply refl_equal.
% 83.89/84.01 elim (classic ((op2 (h1 (e13)) (h1 (e10))) = (op2 (h1 (e13)) (h1 (e10))))); [ zenon_intro zenon_H6d9 | zenon_intro zenon_H6da ].
% 83.89/84.01 cut (((op2 (h1 (e13)) (h1 (e10))) = (op2 (h1 (e13)) (h1 (e10)))) = ((op2 (e20) (op2 (e20) (e20))) = (op2 (h1 (e13)) (h1 (e10))))).
% 83.89/84.01 intro zenon_D_pnotp.
% 83.89/84.01 apply zenon_H6d4.
% 83.89/84.01 rewrite <- zenon_D_pnotp.
% 83.89/84.01 exact zenon_H6d9.
% 83.89/84.01 cut (((op2 (h1 (e13)) (h1 (e10))) = (op2 (h1 (e13)) (h1 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H6da].
% 83.89/84.01 cut (((op2 (h1 (e13)) (h1 (e10))) = (op2 (e20) (op2 (e20) (e20))))); [idtac | apply NNPP; zenon_intro zenon_H6db].
% 83.89/84.01 congruence.
% 83.89/84.01 cut (((op2 (e23) (e20)) = (e21)) = ((op2 (h1 (e13)) (h1 (e10))) = (op2 (e20) (op2 (e20) (e20))))).
% 83.89/84.01 intro zenon_D_pnotp.
% 83.89/84.01 apply zenon_H6db.
% 83.89/84.01 rewrite <- zenon_D_pnotp.
% 83.89/84.01 exact zenon_H10c.
% 83.89/84.01 cut (((e21) = (op2 (e20) (op2 (e20) (e20))))); [idtac | apply NNPP; zenon_intro zenon_H6a3].
% 83.89/84.01 cut (((op2 (e23) (e20)) = (op2 (h1 (e13)) (h1 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H6dc].
% 83.89/84.01 congruence.
% 83.89/84.01 elim (classic ((op2 (h1 (e13)) (h1 (e10))) = (op2 (h1 (e13)) (h1 (e10))))); [ zenon_intro zenon_H6d9 | zenon_intro zenon_H6da ].
% 83.89/84.01 cut (((op2 (h1 (e13)) (h1 (e10))) = (op2 (h1 (e13)) (h1 (e10)))) = ((op2 (e23) (e20)) = (op2 (h1 (e13)) (h1 (e10))))).
% 83.89/84.01 intro zenon_D_pnotp.
% 83.89/84.01 apply zenon_H6dc.
% 83.89/84.01 rewrite <- zenon_D_pnotp.
% 83.89/84.01 exact zenon_H6d9.
% 83.89/84.01 cut (((op2 (h1 (e13)) (h1 (e10))) = (op2 (h1 (e13)) (h1 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H6da].
% 83.89/84.01 cut (((op2 (h1 (e13)) (h1 (e10))) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H6dd].
% 83.89/84.01 congruence.
% 83.89/84.01 cut (((h1 (e10)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H72].
% 83.89/84.01 cut (((h1 (e13)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H5b].
% 83.89/84.01 congruence.
% 83.89/84.01 apply (zenon_L23_); trivial.
% 83.89/84.01 exact (zenon_H72 zenon_H64).
% 83.89/84.01 apply zenon_H6da. apply refl_equal.
% 83.89/84.01 apply zenon_H6da. apply refl_equal.
% 83.89/84.01 exact (zenon_H6a3 zenon_H7a).
% 83.89/84.01 apply zenon_H6da. apply refl_equal.
% 83.89/84.01 apply zenon_H6da. apply refl_equal.
% 83.89/84.01 (* end of lemma zenon_L1057_ *)
% 83.89/84.01 assert (zenon_L1058_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((e20) = (e23))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e21) = (e23))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((e20) = (e21))) -> ((op2 (e22) (e20)) = (e20)) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (op1 (e10) (e10))) = (e12))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> ((h1 (e10)) = (e20)) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> (~((h1 (op1 (e13) (e10))) = (op2 (h1 (e13)) (h1 (e10))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((e11) = (e12))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 83.89/84.01 do 0 intro. intros zenon_H15b zenon_Ha8 zenon_H8a zenon_Hc3 zenon_H15c zenon_Hb2 zenon_H21e zenon_H11b zenon_Hd6 zenon_H13e zenon_H112 zenon_H78 zenon_H118 zenon_Hba zenon_Hc9 zenon_Had zenon_H21d zenon_H61 zenon_H220 zenon_H1b0 zenon_H1a9 zenon_H19a zenon_H1ad zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H16d zenon_H1ba zenon_H1b9 zenon_H56 zenon_H45 zenon_H50 zenon_H1c2 zenon_H1f4 zenon_H1e4 zenon_H1e0 zenon_H3f zenon_H18e zenon_H1b6 zenon_H1a0 zenon_H1c9 zenon_H1dc zenon_H1d4 zenon_H187 zenon_H1a5 zenon_H1d8 zenon_H1cf zenon_H1e8 zenon_H176 zenon_H1c8 zenon_H64 zenon_H5d zenon_H5c zenon_H7a zenon_H1fd zenon_H6d3 zenon_H1ee zenon_H200 zenon_H1f5 zenon_H2e zenon_H1f3 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25.
% 83.89/84.01 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.89/84.01 apply (zenon_L41_); trivial.
% 83.89/84.01 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.89/84.01 apply (zenon_L151_); trivial.
% 83.89/84.01 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.89/84.01 apply (zenon_L152_); trivial.
% 83.89/84.01 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ].
% 83.89/84.01 apply (zenon_L11_); trivial.
% 83.89/84.01 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ].
% 83.89/84.01 apply (zenon_L20_); trivial.
% 83.89/84.01 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ].
% 83.89/84.01 apply (zenon_L22_); trivial.
% 83.89/84.01 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ].
% 83.89/84.01 apply (zenon_L11_); trivial.
% 83.89/84.01 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ].
% 83.89/84.01 apply (zenon_L129_); trivial.
% 83.89/84.01 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ].
% 83.89/84.01 apply (zenon_L1057_); trivial.
% 83.89/84.01 apply (zenon_L138_); trivial.
% 83.89/84.01 (* end of lemma zenon_L1058_ *)
% 83.89/84.01 assert (zenon_L1059_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((e20) = (e23))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e21) = (e23))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((e20) = (e21))) -> ((op2 (e22) (e20)) = (e20)) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e12) (e10)) = (op1 (e10) (e12))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> ((h1 (e10)) = (e20)) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> (~((h1 (op1 (e13) (e10))) = (op2 (h1 (e13)) (h1 (e10))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((e11) = (e12))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 83.89/84.01 do 0 intro. intros zenon_H15b zenon_Ha8 zenon_H8a zenon_Hc3 zenon_H15c zenon_Hb2 zenon_H21e zenon_H11b zenon_Hd6 zenon_H13e zenon_H112 zenon_H78 zenon_H118 zenon_Hba zenon_Hc9 zenon_Had zenon_H21d zenon_H220 zenon_H3f zenon_H3a zenon_H16d zenon_H245 zenon_H249 zenon_H64 zenon_H5d zenon_H5c zenon_H7a zenon_H1fd zenon_H6d3 zenon_H1ee zenon_H200 zenon_H1f5 zenon_H2e zenon_H1f3 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25.
% 83.89/84.01 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.89/84.01 apply (zenon_L41_); trivial.
% 83.89/84.01 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.89/84.01 apply (zenon_L151_); trivial.
% 83.89/84.01 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.89/84.01 apply (zenon_L152_); trivial.
% 83.89/84.01 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ].
% 83.89/84.01 apply (zenon_L11_); trivial.
% 83.89/84.01 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ].
% 83.89/84.01 apply (zenon_L154_); trivial.
% 83.89/84.01 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ].
% 83.89/84.01 apply (zenon_L1057_); trivial.
% 83.89/84.01 apply (zenon_L138_); trivial.
% 83.89/84.01 (* end of lemma zenon_L1059_ *)
% 83.89/84.01 assert (zenon_L1060_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((e20) = (e23))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e21) = (e23))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((e20) = (e21))) -> ((op2 (e22) (e20)) = (e20)) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (op1 (e10) (e13))) = (e11))) -> (~((e12) = (e13))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e10)) = (op1 (e10) (e13))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> ((h1 (e10)) = (e20)) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> (~((h1 (op1 (e13) (e10))) = (op2 (h1 (e13)) (h1 (e10))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((e11) = (e12))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 83.89/84.01 do 0 intro. intros zenon_H15b zenon_Ha8 zenon_H8a zenon_Hc3 zenon_H15c zenon_Hb2 zenon_H21e zenon_H11b zenon_Hd6 zenon_H13e zenon_H112 zenon_H78 zenon_H118 zenon_Hba zenon_Hc9 zenon_Had zenon_H21d zenon_H61 zenon_H220 zenon_H4d zenon_H49 zenon_H16d zenon_H1ba zenon_H56 zenon_H45 zenon_H50 zenon_H1c2 zenon_H1f4 zenon_H24d zenon_H25a zenon_H256 zenon_H3a zenon_H252 zenon_H253 zenon_H229 zenon_H1b6 zenon_H18e zenon_H53 zenon_H1ad zenon_H19a zenon_H1a9 zenon_H3f zenon_H1b0 zenon_H1e4 zenon_H25d zenon_H1b9 zenon_H1a0 zenon_H1c9 zenon_H1dc zenon_H1d4 zenon_H187 zenon_H1a5 zenon_H1d8 zenon_H1cf zenon_H1e8 zenon_H176 zenon_H1c8 zenon_H64 zenon_H5d zenon_H5c zenon_H7a zenon_H1fd zenon_H6d3 zenon_H1ee zenon_H200 zenon_H1f5 zenon_H2e zenon_H1f3 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25.
% 83.89/84.01 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.89/84.01 apply (zenon_L41_); trivial.
% 83.89/84.01 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.89/84.01 apply (zenon_L151_); trivial.
% 83.89/84.01 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.89/84.01 apply (zenon_L152_); trivial.
% 83.89/84.01 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ].
% 83.89/84.01 apply (zenon_L11_); trivial.
% 83.89/84.01 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ].
% 83.89/84.01 apply (zenon_L20_); trivial.
% 83.89/84.01 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ].
% 83.89/84.01 apply (zenon_L22_); trivial.
% 83.89/84.01 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ].
% 83.89/84.01 apply (zenon_L11_); trivial.
% 83.89/84.01 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ].
% 83.89/84.01 apply (zenon_L164_); trivial.
% 83.89/84.01 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ].
% 83.89/84.01 apply (zenon_L1057_); trivial.
% 83.89/84.01 apply (zenon_L138_); trivial.
% 83.89/84.01 (* end of lemma zenon_L1060_ *)
% 83.89/84.01 assert (zenon_L1061_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((e20) = (e23))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e21) = (e23))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((e20) = (e21))) -> ((op2 (e22) (e20)) = (e20)) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((e10) = (e12))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e10) (e11)) = (op1 (e11) (e10))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> ((h1 (e10)) = (e20)) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> (~((h1 (op1 (e13) (e10))) = (op2 (h1 (e13)) (h1 (e10))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((e11) = (e12))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 83.89/84.01 do 0 intro. intros zenon_H15b zenon_Ha8 zenon_H8a zenon_Hc3 zenon_H15c zenon_Hb2 zenon_H21e zenon_H11b zenon_Hd6 zenon_H13e zenon_H112 zenon_H78 zenon_H118 zenon_Hba zenon_Hc9 zenon_Had zenon_H21d zenon_H61 zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H50 zenon_H45 zenon_H56 zenon_H220 zenon_H3f zenon_H1c8 zenon_H176 zenon_H260 zenon_H230 zenon_H1c2 zenon_H64 zenon_H5d zenon_H5c zenon_H7a zenon_H1fd zenon_H6d3 zenon_H1ee zenon_H200 zenon_H1f5 zenon_H2e zenon_H1f3 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25.
% 83.89/84.01 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.89/84.01 apply (zenon_L41_); trivial.
% 83.89/84.01 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.89/84.01 apply (zenon_L151_); trivial.
% 83.89/84.01 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.89/84.01 apply (zenon_L152_); trivial.
% 83.89/84.01 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ].
% 83.89/84.01 apply (zenon_L11_); trivial.
% 83.89/84.01 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ].
% 83.89/84.01 apply (zenon_L20_); trivial.
% 83.89/84.01 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ].
% 83.89/84.01 apply (zenon_L22_); trivial.
% 83.89/84.01 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ].
% 83.89/84.01 apply (zenon_L11_); trivial.
% 83.89/84.01 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ].
% 83.89/84.01 apply (zenon_L167_); trivial.
% 83.89/84.01 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ].
% 83.89/84.01 apply (zenon_L1057_); trivial.
% 83.89/84.01 apply (zenon_L138_); trivial.
% 83.89/84.01 (* end of lemma zenon_L1061_ *)
% 83.89/84.01 assert (zenon_L1062_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((e20) = (e23))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e21) = (e23))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((e20) = (e21))) -> ((op2 (e22) (e20)) = (e20)) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (op1 (e11) (e11))) = (e11))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> ((h1 (e10)) = (e20)) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> (~((h1 (op1 (e13) (e10))) = (op2 (h1 (e13)) (h1 (e10))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((e11) = (e12))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 83.89/84.01 do 0 intro. intros zenon_H15b zenon_Ha8 zenon_H8a zenon_Hc3 zenon_H15c zenon_Hb2 zenon_H21e zenon_H11b zenon_Hd6 zenon_H13e zenon_H112 zenon_H78 zenon_H118 zenon_Hba zenon_Hc9 zenon_Had zenon_H21d zenon_H61 zenon_H220 zenon_H1b0 zenon_H3f zenon_H1a9 zenon_H19a zenon_H1ad zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H18e zenon_H1b6 zenon_H16d zenon_H1ba zenon_H1b9 zenon_H56 zenon_H45 zenon_H50 zenon_H1c2 zenon_H1f4 zenon_H266 zenon_H1a0 zenon_H1c9 zenon_H1dc zenon_H1d4 zenon_H187 zenon_H1a5 zenon_H1d8 zenon_H1cf zenon_H1e8 zenon_H176 zenon_H1c8 zenon_H64 zenon_H5d zenon_H5c zenon_H7a zenon_H1fd zenon_H6d3 zenon_H1ee zenon_H200 zenon_H1f5 zenon_H2e zenon_H1f3 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25.
% 83.89/84.01 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.89/84.01 apply (zenon_L41_); trivial.
% 83.89/84.01 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.89/84.01 apply (zenon_L151_); trivial.
% 83.89/84.01 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.89/84.01 apply (zenon_L152_); trivial.
% 83.89/84.01 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ].
% 83.89/84.01 apply (zenon_L11_); trivial.
% 83.89/84.01 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ].
% 83.89/84.01 apply (zenon_L20_); trivial.
% 83.89/84.01 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ].
% 83.89/84.01 apply (zenon_L22_); trivial.
% 83.89/84.01 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ].
% 83.89/84.01 apply (zenon_L11_); trivial.
% 83.89/84.01 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ].
% 83.89/84.01 apply (zenon_L171_); trivial.
% 83.89/84.01 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ].
% 83.89/84.01 apply (zenon_L1057_); trivial.
% 83.89/84.01 apply (zenon_L138_); trivial.
% 83.89/84.01 (* end of lemma zenon_L1062_ *)
% 83.89/84.01 assert (zenon_L1063_ : ((h1 (e12)) = (op2 (e20) (e20))) -> ((op1 (e13) (e11)) = (e12)) -> ((e22) = (op2 (e20) (e20))) -> (~((e22) = (h1 (op1 (e13) (e11))))) -> False).
% 83.89/84.01 do 0 intro. intros zenon_H68b zenon_H198 zenon_H78 zenon_H6de.
% 83.89/84.01 elim (classic ((h1 (op1 (e13) (e11))) = (h1 (op1 (e13) (e11))))); [ zenon_intro zenon_H6df | zenon_intro zenon_H6e0 ].
% 83.89/84.01 cut (((h1 (op1 (e13) (e11))) = (h1 (op1 (e13) (e11)))) = ((e22) = (h1 (op1 (e13) (e11))))).
% 83.89/84.01 intro zenon_D_pnotp.
% 83.89/84.01 apply zenon_H6de.
% 83.89/84.01 rewrite <- zenon_D_pnotp.
% 83.89/84.01 exact zenon_H6df.
% 83.89/84.01 cut (((h1 (op1 (e13) (e11))) = (h1 (op1 (e13) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H6e0].
% 83.89/84.01 cut (((h1 (op1 (e13) (e11))) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H6e1].
% 83.89/84.01 congruence.
% 83.89/84.01 cut (((h1 (e12)) = (op2 (e20) (e20))) = ((h1 (op1 (e13) (e11))) = (e22))).
% 83.89/84.01 intro zenon_D_pnotp.
% 83.89/84.01 apply zenon_H6e1.
% 83.89/84.01 rewrite <- zenon_D_pnotp.
% 83.89/84.01 exact zenon_H68b.
% 83.89/84.01 cut (((op2 (e20) (e20)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H79].
% 83.89/84.01 cut (((h1 (e12)) = (h1 (op1 (e13) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H6e2].
% 83.89/84.01 congruence.
% 83.89/84.01 elim (classic ((h1 (op1 (e13) (e11))) = (h1 (op1 (e13) (e11))))); [ zenon_intro zenon_H6df | zenon_intro zenon_H6e0 ].
% 83.89/84.01 cut (((h1 (op1 (e13) (e11))) = (h1 (op1 (e13) (e11)))) = ((h1 (e12)) = (h1 (op1 (e13) (e11))))).
% 83.89/84.01 intro zenon_D_pnotp.
% 83.89/84.01 apply zenon_H6e2.
% 83.89/84.01 rewrite <- zenon_D_pnotp.
% 83.89/84.01 exact zenon_H6df.
% 83.89/84.01 cut (((h1 (op1 (e13) (e11))) = (h1 (op1 (e13) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H6e0].
% 83.89/84.01 cut (((h1 (op1 (e13) (e11))) = (h1 (e12)))); [idtac | apply NNPP; zenon_intro zenon_H6e3].
% 83.89/84.01 congruence.
% 83.89/84.01 cut (((op1 (e13) (e11)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H199].
% 83.89/84.01 congruence.
% 83.89/84.01 exact (zenon_H199 zenon_H198).
% 83.89/84.01 apply zenon_H6e0. apply refl_equal.
% 83.89/84.01 apply zenon_H6e0. apply refl_equal.
% 83.89/84.01 apply zenon_H79. apply sym_equal. exact zenon_H78.
% 83.89/84.01 apply zenon_H6e0. apply refl_equal.
% 83.89/84.01 apply zenon_H6e0. apply refl_equal.
% 83.89/84.01 (* end of lemma zenon_L1063_ *)
% 83.89/84.01 assert (zenon_L1064_ : ((op2 (e23) (e21)) = (e22)) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((e22) = (op2 (e20) (e20))) -> ((op1 (e13) (e11)) = (e12)) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> False).
% 83.89/84.01 do 0 intro. intros zenon_H10f zenon_H5c zenon_H5d zenon_H1fd zenon_H7a zenon_H68b zenon_H78 zenon_H198 zenon_H6e4.
% 83.89/84.01 elim (classic ((op2 (h1 (e13)) (h1 (e11))) = (op2 (h1 (e13)) (h1 (e11))))); [ zenon_intro zenon_H6e5 | zenon_intro zenon_H6e6 ].
% 83.89/84.01 cut (((op2 (h1 (e13)) (h1 (e11))) = (op2 (h1 (e13)) (h1 (e11)))) = ((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))).
% 83.89/84.01 intro zenon_D_pnotp.
% 83.89/84.01 apply zenon_H6e4.
% 83.89/84.01 rewrite <- zenon_D_pnotp.
% 83.89/84.01 exact zenon_H6e5.
% 83.89/84.01 cut (((op2 (h1 (e13)) (h1 (e11))) = (op2 (h1 (e13)) (h1 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H6e6].
% 83.89/84.01 cut (((op2 (h1 (e13)) (h1 (e11))) = (h1 (op1 (e13) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H6e7].
% 83.89/84.01 congruence.
% 83.89/84.01 cut (((op2 (e23) (e21)) = (e22)) = ((op2 (h1 (e13)) (h1 (e11))) = (h1 (op1 (e13) (e11))))).
% 83.89/84.01 intro zenon_D_pnotp.
% 83.89/84.01 apply zenon_H6e7.
% 83.89/84.01 rewrite <- zenon_D_pnotp.
% 83.89/84.01 exact zenon_H10f.
% 83.89/84.01 cut (((e22) = (h1 (op1 (e13) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H6de].
% 83.89/84.01 cut (((op2 (e23) (e21)) = (op2 (h1 (e13)) (h1 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H6e8].
% 83.89/84.01 congruence.
% 83.89/84.01 elim (classic ((op2 (h1 (e13)) (h1 (e11))) = (op2 (h1 (e13)) (h1 (e11))))); [ zenon_intro zenon_H6e5 | zenon_intro zenon_H6e6 ].
% 83.89/84.01 cut (((op2 (h1 (e13)) (h1 (e11))) = (op2 (h1 (e13)) (h1 (e11)))) = ((op2 (e23) (e21)) = (op2 (h1 (e13)) (h1 (e11))))).
% 83.89/84.01 intro zenon_D_pnotp.
% 83.89/84.01 apply zenon_H6e8.
% 83.89/84.01 rewrite <- zenon_D_pnotp.
% 83.89/84.01 exact zenon_H6e5.
% 83.89/84.01 cut (((op2 (h1 (e13)) (h1 (e11))) = (op2 (h1 (e13)) (h1 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H6e6].
% 83.89/84.01 cut (((op2 (h1 (e13)) (h1 (e11))) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H6e9].
% 83.89/84.01 congruence.
% 83.89/84.01 cut (((h1 (e11)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H1fc].
% 83.89/84.01 cut (((h1 (e13)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H5b].
% 83.89/84.01 congruence.
% 83.89/84.01 apply (zenon_L23_); trivial.
% 83.89/84.01 apply (zenon_L130_); trivial.
% 83.89/84.01 apply zenon_H6e6. apply refl_equal.
% 83.89/84.01 apply zenon_H6e6. apply refl_equal.
% 83.89/84.01 apply (zenon_L1063_); trivial.
% 83.89/84.01 apply zenon_H6e6. apply refl_equal.
% 83.89/84.01 apply zenon_H6e6. apply refl_equal.
% 83.89/84.01 (* end of lemma zenon_L1064_ *)
% 83.89/84.01 assert (zenon_L1065_ : (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e11) = (e12))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e11) = (e13))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((e10) = (e11))) -> ((op1 (e12) (e10)) = (e10)) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((op2 (e23) (e21)) = (e22)) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((e22) = (op2 (e20) (e20))) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 83.89/84.01 do 0 intro. intros zenon_H1f3 zenon_H2e zenon_H1f5 zenon_H200 zenon_H20d zenon_H1ee zenon_H204 zenon_H2c zenon_H20a zenon_H16b zenon_H163 zenon_H1ff zenon_H173 zenon_H16 zenon_H236 zenon_H10f zenon_H5c zenon_H5d zenon_H1fd zenon_H7a zenon_H68b zenon_H78 zenon_H6e4 zenon_H1bf zenon_H1c2 zenon_H2e7 zenon_H1e zenon_H17 zenon_H14 zenon_H25.
% 83.89/84.01 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H2d | zenon_intro zenon_H1f6 ].
% 83.89/84.01 apply (zenon_L7_); trivial.
% 83.89/84.01 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H162 | zenon_intro zenon_H1f7 ].
% 83.89/84.01 apply (zenon_L178_); trivial.
% 83.89/84.01 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H16c | zenon_intro zenon_H195 ].
% 83.89/84.01 apply (zenon_L179_); trivial.
% 83.89/84.01 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H18 | zenon_intro zenon_H174 ].
% 83.89/84.01 apply (zenon_L3_); trivial.
% 83.89/84.01 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H169 | zenon_intro zenon_H175 ].
% 83.89/84.01 apply (zenon_or_s _ _ zenon_H2e7); [ zenon_intro zenon_H197 | zenon_intro zenon_H2eb ].
% 83.89/84.01 apply (zenon_L114_); trivial.
% 83.89/84.01 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H2ec ].
% 83.89/84.01 apply (zenon_L113_); trivial.
% 83.89/84.01 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H198 | zenon_intro zenon_H235 ].
% 83.89/84.01 apply (zenon_L1064_); trivial.
% 83.89/84.01 apply (zenon_L149_); trivial.
% 83.89/84.01 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H24 ].
% 83.89/84.01 apply (zenon_L4_); trivial.
% 83.89/84.01 apply (zenon_L5_); trivial.
% 83.89/84.01 (* end of lemma zenon_L1065_ *)
% 83.89/84.01 assert (zenon_L1066_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (op1 (e10) (e10))) = (e12))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> ((e22) = (op2 (e20) (e20))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((op2 (e23) (e21)) = (e22)) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((e11) = (e12))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 83.89/84.01 do 0 intro. intros zenon_H61 zenon_H220 zenon_H1b0 zenon_H1a9 zenon_H19a zenon_H1ad zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H16d zenon_H1ba zenon_H1b9 zenon_H56 zenon_H45 zenon_H50 zenon_H1f4 zenon_H1e4 zenon_H1e0 zenon_H3f zenon_H18e zenon_H1b6 zenon_H1a0 zenon_H1c9 zenon_H1dc zenon_H1d4 zenon_H187 zenon_H1a5 zenon_H1d8 zenon_H1cf zenon_H1e8 zenon_H176 zenon_H1c8 zenon_H2e7 zenon_H1c2 zenon_H6e4 zenon_H78 zenon_H68b zenon_H7a zenon_H1fd zenon_H5d zenon_H5c zenon_H10f zenon_H236 zenon_H1ee zenon_H200 zenon_H1f5 zenon_H2e zenon_H1f3 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25.
% 83.89/84.01 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ].
% 83.89/84.01 apply (zenon_L11_); trivial.
% 83.89/84.01 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ].
% 83.89/84.01 apply (zenon_L20_); trivial.
% 83.89/84.01 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ].
% 83.89/84.02 apply (zenon_L22_); trivial.
% 83.89/84.02 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ].
% 83.89/84.02 apply (zenon_L11_); trivial.
% 83.89/84.02 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ].
% 83.89/84.02 apply (zenon_L129_); trivial.
% 83.89/84.02 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ].
% 83.89/84.02 apply (zenon_L1065_); trivial.
% 83.89/84.02 apply (zenon_L138_); trivial.
% 83.89/84.02 (* end of lemma zenon_L1066_ *)
% 83.89/84.02 assert (zenon_L1067_ : (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e11) = (e12))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((e10) = (e12))) -> (~((op1 (e12) (op1 (e10) (e10))) = (e12))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((op2 (e21) (e20)) = (e23)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> ((op2 (e23) (e22)) = (e20)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> False).
% 83.89/84.02 do 0 intro. intros zenon_H518 zenon_H509 zenon_H25 zenon_H14 zenon_H17 zenon_H1e zenon_H20d zenon_H163 zenon_H1bf zenon_H204 zenon_H2c zenon_H20a zenon_H16b zenon_H16 zenon_H173 zenon_H1f3 zenon_H2e zenon_H1f5 zenon_H200 zenon_H1ee zenon_H236 zenon_H5c zenon_H1fd zenon_H68b zenon_H6e4 zenon_H1c2 zenon_H2e7 zenon_H1c8 zenon_H176 zenon_H1e8 zenon_H1cf zenon_H1d8 zenon_H1a5 zenon_H187 zenon_H1d4 zenon_H1dc zenon_H1c9 zenon_H1a0 zenon_H1b6 zenon_H18e zenon_H3f zenon_H1e0 zenon_H1e4 zenon_H1f4 zenon_H50 zenon_H45 zenon_H56 zenon_H1b9 zenon_H1ba zenon_H16d zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H1ad zenon_H19a zenon_H1a9 zenon_H1b0 zenon_H220 zenon_H61 zenon_Hd5 zenon_H129 zenon_H11f zenon_H78 zenon_H124 zenon_H12c zenon_H515 zenon_H121 zenon_H50f zenon_H10c zenon_H13e zenon_H4fb zenon_H5d zenon_H7a zenon_H511.
% 83.89/84.02 apply (zenon_or_s _ _ zenon_H518); [ zenon_intro zenon_H508 | zenon_intro zenon_H519 ].
% 83.89/84.02 apply (zenon_L597_); trivial.
% 83.89/84.02 apply (zenon_or_s _ _ zenon_H519); [ zenon_intro zenon_H10f | zenon_intro zenon_H51a ].
% 83.89/84.02 apply (zenon_L1066_); trivial.
% 83.89/84.02 apply (zenon_or_s _ _ zenon_H51a); [ zenon_intro zenon_H50d | zenon_intro zenon_H4fc ].
% 83.89/84.02 apply (zenon_L599_); trivial.
% 83.89/84.02 apply (zenon_L602_); trivial.
% 83.89/84.02 (* end of lemma zenon_L1067_ *)
% 83.89/84.02 assert (zenon_L1068_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e21) = (e22))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((e21) = (e23))) -> ((op2 (e22) (e20)) = (e20)) -> (~((e20) = (e23))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((e20) = (e21))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (op1 (e10) (e10))) = (e12))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((e11) = (e12))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.89/84.02 do 0 intro. intros zenon_H15b zenon_Ha8 zenon_Hc9 zenon_Hd6 zenon_H21d zenon_H21e zenon_H134 zenon_Hba zenon_H118 zenon_H112 zenon_Had zenon_H11b zenon_H14b zenon_H511 zenon_H4fb zenon_H13e zenon_H50f zenon_H515 zenon_H12c zenon_H124 zenon_H11f zenon_H129 zenon_H61 zenon_H220 zenon_H1b0 zenon_H1a9 zenon_H19a zenon_H1ad zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H16d zenon_H1ba zenon_H1b9 zenon_H56 zenon_H45 zenon_H50 zenon_H1f4 zenon_H1e4 zenon_H1e0 zenon_H3f zenon_H18e zenon_H1b6 zenon_H1a0 zenon_H1c9 zenon_H1dc zenon_H1d4 zenon_H187 zenon_H1a5 zenon_H1d8 zenon_H1cf zenon_H1e8 zenon_H176 zenon_H1c8 zenon_H2e7 zenon_H1c2 zenon_H6e4 zenon_H68b zenon_H1fd zenon_H5c zenon_H236 zenon_H1ee zenon_H200 zenon_H1f5 zenon_H2e zenon_H1f3 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25 zenon_H509 zenon_H518 zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H78 zenon_Hb2 zenon_H15c zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a.
% 83.89/84.02 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.89/84.02 apply (zenon_L41_); trivial.
% 83.89/84.02 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.89/84.02 apply (zenon_L151_); trivial.
% 83.89/84.02 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.89/84.02 apply (zenon_L152_); trivial.
% 83.89/84.02 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ].
% 83.89/84.02 apply (zenon_L43_); trivial.
% 83.89/84.02 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ].
% 83.89/84.02 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ].
% 83.89/84.02 apply (zenon_L43_); trivial.
% 83.89/84.02 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ].
% 83.89/84.02 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H10b | zenon_intro zenon_H137 ].
% 83.89/84.02 apply (zenon_L142_); trivial.
% 83.89/84.02 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H11e | zenon_intro zenon_H138 ].
% 83.89/84.02 apply (zenon_L81_); trivial.
% 83.89/84.02 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H121 | zenon_intro zenon_H95 ].
% 83.89/84.02 apply (zenon_L1067_); trivial.
% 83.89/84.02 apply (zenon_L36_); trivial.
% 83.89/84.02 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ].
% 83.89/84.02 apply (zenon_L139_); trivial.
% 83.89/84.02 apply (zenon_L88_); trivial.
% 83.89/84.02 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ].
% 83.89/84.02 apply (zenon_L46_); trivial.
% 83.89/84.02 apply (zenon_L31_); trivial.
% 83.89/84.02 (* end of lemma zenon_L1068_ *)
% 83.89/84.02 assert (zenon_L1069_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e12) (e10)) = (op1 (e10) (e12))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> ((e22) = (op2 (e20) (e20))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((op2 (e23) (e21)) = (e22)) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((e11) = (e12))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 83.89/84.02 do 0 intro. intros zenon_H220 zenon_H3f zenon_H3a zenon_H16d zenon_H245 zenon_H249 zenon_H2e7 zenon_H1c2 zenon_H6e4 zenon_H78 zenon_H68b zenon_H7a zenon_H1fd zenon_H5d zenon_H5c zenon_H10f zenon_H236 zenon_H1ee zenon_H200 zenon_H1f5 zenon_H2e zenon_H1f3 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25.
% 83.89/84.02 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ].
% 83.89/84.02 apply (zenon_L11_); trivial.
% 83.89/84.02 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ].
% 83.89/84.02 apply (zenon_L154_); trivial.
% 83.89/84.02 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ].
% 83.89/84.02 apply (zenon_L1065_); trivial.
% 83.89/84.02 apply (zenon_L138_); trivial.
% 83.89/84.02 (* end of lemma zenon_L1069_ *)
% 83.89/84.02 assert (zenon_L1070_ : (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e11) = (e12))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> ((op1 (e12) (e10)) = (op1 (e10) (e12))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> ((op2 (e21) (e20)) = (e23)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> ((op2 (e23) (e22)) = (e20)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> False).
% 83.89/84.02 do 0 intro. intros zenon_H518 zenon_H509 zenon_H25 zenon_H14 zenon_H17 zenon_H1e zenon_H20d zenon_H163 zenon_H1bf zenon_H204 zenon_H2c zenon_H20a zenon_H16b zenon_H16 zenon_H173 zenon_H1f3 zenon_H2e zenon_H1f5 zenon_H200 zenon_H1ee zenon_H236 zenon_H5c zenon_H1fd zenon_H68b zenon_H6e4 zenon_H1c2 zenon_H2e7 zenon_H249 zenon_H245 zenon_H16d zenon_H3a zenon_H3f zenon_H220 zenon_Hd5 zenon_H129 zenon_H11f zenon_H78 zenon_H124 zenon_H12c zenon_H515 zenon_H121 zenon_H50f zenon_H10c zenon_H13e zenon_H4fb zenon_H5d zenon_H7a zenon_H511.
% 83.89/84.02 apply (zenon_or_s _ _ zenon_H518); [ zenon_intro zenon_H508 | zenon_intro zenon_H519 ].
% 83.89/84.02 apply (zenon_L597_); trivial.
% 83.89/84.02 apply (zenon_or_s _ _ zenon_H519); [ zenon_intro zenon_H10f | zenon_intro zenon_H51a ].
% 83.89/84.02 apply (zenon_L1069_); trivial.
% 83.89/84.02 apply (zenon_or_s _ _ zenon_H51a); [ zenon_intro zenon_H50d | zenon_intro zenon_H4fc ].
% 83.89/84.02 apply (zenon_L599_); trivial.
% 83.89/84.02 apply (zenon_L602_); trivial.
% 83.89/84.02 (* end of lemma zenon_L1070_ *)
% 83.89/84.02 assert (zenon_L1071_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e21) = (e22))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((e21) = (e23))) -> ((op2 (e22) (e20)) = (e20)) -> (~((e20) = (e23))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((e20) = (e21))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e12) (e10)) = (op1 (e10) (e12))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((e11) = (e12))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.89/84.02 do 0 intro. intros zenon_H15b zenon_Ha8 zenon_Hc9 zenon_Hd6 zenon_H21d zenon_H21e zenon_H134 zenon_Hba zenon_H118 zenon_H112 zenon_Had zenon_H11b zenon_H14b zenon_H511 zenon_H4fb zenon_H13e zenon_H50f zenon_H515 zenon_H12c zenon_H124 zenon_H11f zenon_H129 zenon_H220 zenon_H3f zenon_H3a zenon_H16d zenon_H245 zenon_H249 zenon_H2e7 zenon_H1c2 zenon_H6e4 zenon_H68b zenon_H1fd zenon_H5c zenon_H236 zenon_H1ee zenon_H200 zenon_H1f5 zenon_H2e zenon_H1f3 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25 zenon_H509 zenon_H518 zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H78 zenon_Hb2 zenon_H15c zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a.
% 83.89/84.02 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.89/84.02 apply (zenon_L41_); trivial.
% 83.89/84.02 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.89/84.02 apply (zenon_L151_); trivial.
% 83.89/84.02 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.89/84.02 apply (zenon_L152_); trivial.
% 83.89/84.02 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ].
% 83.89/84.02 apply (zenon_L43_); trivial.
% 83.89/84.02 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ].
% 83.89/84.02 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ].
% 83.89/84.02 apply (zenon_L43_); trivial.
% 83.89/84.02 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ].
% 83.89/84.02 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H10b | zenon_intro zenon_H137 ].
% 83.89/84.02 apply (zenon_L142_); trivial.
% 83.89/84.02 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H11e | zenon_intro zenon_H138 ].
% 83.89/84.02 apply (zenon_L81_); trivial.
% 83.89/84.02 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H121 | zenon_intro zenon_H95 ].
% 83.89/84.02 apply (zenon_L1070_); trivial.
% 83.89/84.02 apply (zenon_L36_); trivial.
% 83.89/84.02 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ].
% 83.89/84.02 apply (zenon_L139_); trivial.
% 83.89/84.02 apply (zenon_L88_); trivial.
% 83.89/84.02 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ].
% 83.89/84.02 apply (zenon_L46_); trivial.
% 83.89/84.02 apply (zenon_L31_); trivial.
% 83.89/84.02 (* end of lemma zenon_L1071_ *)
% 83.89/84.02 assert (zenon_L1072_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (op1 (e10) (e13))) = (e11))) -> (~((e12) = (e13))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e10)) = (op1 (e10) (e13))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> ((e22) = (op2 (e20) (e20))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((op2 (e23) (e21)) = (e22)) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((e11) = (e12))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 83.89/84.02 do 0 intro. intros zenon_H61 zenon_H220 zenon_H4d zenon_H49 zenon_H16d zenon_H1ba zenon_H56 zenon_H45 zenon_H50 zenon_H1f4 zenon_H24d zenon_H25a zenon_H256 zenon_H3a zenon_H252 zenon_H253 zenon_H229 zenon_H1b6 zenon_H18e zenon_H53 zenon_H1ad zenon_H19a zenon_H1a9 zenon_H3f zenon_H1b0 zenon_H1e4 zenon_H25d zenon_H1b9 zenon_H1a0 zenon_H1c9 zenon_H1dc zenon_H1d4 zenon_H187 zenon_H1a5 zenon_H1d8 zenon_H1cf zenon_H1e8 zenon_H176 zenon_H1c8 zenon_H2e7 zenon_H1c2 zenon_H6e4 zenon_H78 zenon_H68b zenon_H7a zenon_H1fd zenon_H5d zenon_H5c zenon_H10f zenon_H236 zenon_H1ee zenon_H200 zenon_H1f5 zenon_H2e zenon_H1f3 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25.
% 83.89/84.02 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ].
% 83.89/84.02 apply (zenon_L11_); trivial.
% 83.89/84.02 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ].
% 83.89/84.02 apply (zenon_L20_); trivial.
% 83.89/84.02 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ].
% 83.89/84.02 apply (zenon_L22_); trivial.
% 83.89/84.02 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ].
% 83.89/84.02 apply (zenon_L11_); trivial.
% 83.89/84.02 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ].
% 83.89/84.02 apply (zenon_L164_); trivial.
% 83.89/84.02 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ].
% 83.89/84.02 apply (zenon_L1065_); trivial.
% 83.89/84.02 apply (zenon_L138_); trivial.
% 83.89/84.02 (* end of lemma zenon_L1072_ *)
% 83.89/84.02 assert (zenon_L1073_ : (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e11) = (e12))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e13) (e10)) = (op1 (e10) (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (op1 (e10) (e13))) = (e11))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((op2 (e21) (e20)) = (e23)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> ((op2 (e23) (e22)) = (e20)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> False).
% 83.89/84.02 do 0 intro. intros zenon_H518 zenon_H509 zenon_H25 zenon_H14 zenon_H17 zenon_H1e zenon_H20d zenon_H163 zenon_H1bf zenon_H204 zenon_H2c zenon_H20a zenon_H16b zenon_H16 zenon_H173 zenon_H1f3 zenon_H2e zenon_H1f5 zenon_H200 zenon_H1ee zenon_H236 zenon_H5c zenon_H1fd zenon_H68b zenon_H6e4 zenon_H1c2 zenon_H2e7 zenon_H1c8 zenon_H176 zenon_H1e8 zenon_H1cf zenon_H1d8 zenon_H1a5 zenon_H187 zenon_H1d4 zenon_H1dc zenon_H1c9 zenon_H1a0 zenon_H1b9 zenon_H25d zenon_H1e4 zenon_H1b0 zenon_H3f zenon_H1a9 zenon_H19a zenon_H1ad zenon_H53 zenon_H18e zenon_H1b6 zenon_H229 zenon_H253 zenon_H252 zenon_H3a zenon_H256 zenon_H25a zenon_H24d zenon_H1f4 zenon_H50 zenon_H45 zenon_H56 zenon_H1ba zenon_H16d zenon_H49 zenon_H4d zenon_H220 zenon_H61 zenon_Hd5 zenon_H129 zenon_H11f zenon_H78 zenon_H124 zenon_H12c zenon_H515 zenon_H121 zenon_H50f zenon_H10c zenon_H13e zenon_H4fb zenon_H5d zenon_H7a zenon_H511.
% 83.89/84.02 apply (zenon_or_s _ _ zenon_H518); [ zenon_intro zenon_H508 | zenon_intro zenon_H519 ].
% 83.89/84.02 apply (zenon_L597_); trivial.
% 83.89/84.02 apply (zenon_or_s _ _ zenon_H519); [ zenon_intro zenon_H10f | zenon_intro zenon_H51a ].
% 83.89/84.02 apply (zenon_L1072_); trivial.
% 83.89/84.02 apply (zenon_or_s _ _ zenon_H51a); [ zenon_intro zenon_H50d | zenon_intro zenon_H4fc ].
% 83.89/84.02 apply (zenon_L599_); trivial.
% 83.89/84.02 apply (zenon_L602_); trivial.
% 83.89/84.02 (* end of lemma zenon_L1073_ *)
% 83.89/84.02 assert (zenon_L1074_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e21) = (e22))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((e21) = (e23))) -> ((op2 (e22) (e20)) = (e20)) -> (~((e20) = (e23))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((e20) = (e21))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (op1 (e10) (e13))) = (e11))) -> (~((e12) = (e13))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e10)) = (op1 (e10) (e13))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((e11) = (e12))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.89/84.02 do 0 intro. intros zenon_H15b zenon_Ha8 zenon_Hc9 zenon_Hd6 zenon_H21d zenon_H21e zenon_H134 zenon_Hba zenon_H118 zenon_H112 zenon_Had zenon_H11b zenon_H14b zenon_H511 zenon_H4fb zenon_H13e zenon_H50f zenon_H515 zenon_H12c zenon_H124 zenon_H11f zenon_H129 zenon_H61 zenon_H220 zenon_H4d zenon_H49 zenon_H16d zenon_H1ba zenon_H56 zenon_H45 zenon_H50 zenon_H1f4 zenon_H24d zenon_H25a zenon_H256 zenon_H3a zenon_H252 zenon_H253 zenon_H229 zenon_H1b6 zenon_H18e zenon_H53 zenon_H1ad zenon_H19a zenon_H1a9 zenon_H3f zenon_H1b0 zenon_H1e4 zenon_H25d zenon_H1b9 zenon_H1a0 zenon_H1c9 zenon_H1dc zenon_H1d4 zenon_H187 zenon_H1a5 zenon_H1d8 zenon_H1cf zenon_H1e8 zenon_H176 zenon_H1c8 zenon_H2e7 zenon_H1c2 zenon_H6e4 zenon_H68b zenon_H1fd zenon_H5c zenon_H236 zenon_H1ee zenon_H200 zenon_H1f5 zenon_H2e zenon_H1f3 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25 zenon_H509 zenon_H518 zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H78 zenon_Hb2 zenon_H15c zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a.
% 83.89/84.02 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.89/84.02 apply (zenon_L41_); trivial.
% 83.89/84.02 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.89/84.02 apply (zenon_L151_); trivial.
% 83.89/84.02 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.89/84.02 apply (zenon_L152_); trivial.
% 83.89/84.02 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ].
% 83.89/84.02 apply (zenon_L43_); trivial.
% 83.89/84.02 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ].
% 83.89/84.02 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ].
% 83.89/84.02 apply (zenon_L43_); trivial.
% 83.89/84.02 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ].
% 83.89/84.02 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H10b | zenon_intro zenon_H137 ].
% 83.89/84.02 apply (zenon_L142_); trivial.
% 83.89/84.02 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H11e | zenon_intro zenon_H138 ].
% 83.89/84.02 apply (zenon_L81_); trivial.
% 83.89/84.02 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H121 | zenon_intro zenon_H95 ].
% 83.89/84.02 apply (zenon_L1073_); trivial.
% 83.89/84.02 apply (zenon_L36_); trivial.
% 83.89/84.02 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ].
% 83.89/84.02 apply (zenon_L139_); trivial.
% 83.89/84.02 apply (zenon_L88_); trivial.
% 83.89/84.02 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ].
% 83.89/84.02 apply (zenon_L46_); trivial.
% 83.89/84.02 apply (zenon_L31_); trivial.
% 83.89/84.02 (* end of lemma zenon_L1074_ *)
% 83.89/84.02 assert (zenon_L1075_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((e10) = (e12))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e10) (e11)) = (op1 (e11) (e10))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> ((e22) = (op2 (e20) (e20))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((op2 (e23) (e21)) = (e22)) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((e11) = (e12))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 83.89/84.02 do 0 intro. intros zenon_H61 zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H50 zenon_H45 zenon_H56 zenon_H220 zenon_H3f zenon_H1c8 zenon_H176 zenon_H260 zenon_H230 zenon_H2e7 zenon_H1c2 zenon_H6e4 zenon_H78 zenon_H68b zenon_H7a zenon_H1fd zenon_H5d zenon_H5c zenon_H10f zenon_H236 zenon_H1ee zenon_H200 zenon_H1f5 zenon_H2e zenon_H1f3 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25.
% 83.89/84.02 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ].
% 83.89/84.02 apply (zenon_L11_); trivial.
% 83.89/84.02 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ].
% 83.89/84.02 apply (zenon_L20_); trivial.
% 83.89/84.02 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ].
% 83.89/84.02 apply (zenon_L22_); trivial.
% 83.89/84.02 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ].
% 83.89/84.02 apply (zenon_L11_); trivial.
% 83.89/84.02 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ].
% 83.89/84.02 apply (zenon_L167_); trivial.
% 83.89/84.02 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ].
% 83.89/84.02 apply (zenon_L1065_); trivial.
% 83.89/84.02 apply (zenon_L138_); trivial.
% 83.89/84.02 (* end of lemma zenon_L1075_ *)
% 83.89/84.02 assert (zenon_L1076_ : (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e11) = (e12))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e10) (e11)) = (op1 (e11) (e10))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((e10) = (e12))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((op2 (e21) (e20)) = (e23)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> ((op2 (e23) (e22)) = (e20)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> False).
% 83.89/84.02 do 0 intro. intros zenon_H518 zenon_H509 zenon_H25 zenon_H14 zenon_H17 zenon_H1e zenon_H20d zenon_H163 zenon_H1bf zenon_H204 zenon_H2c zenon_H20a zenon_H16b zenon_H16 zenon_H173 zenon_H1f3 zenon_H2e zenon_H1f5 zenon_H200 zenon_H1ee zenon_H236 zenon_H5c zenon_H1fd zenon_H68b zenon_H6e4 zenon_H1c2 zenon_H2e7 zenon_H230 zenon_H260 zenon_H176 zenon_H1c8 zenon_H3f zenon_H220 zenon_H56 zenon_H45 zenon_H50 zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H61 zenon_Hd5 zenon_H129 zenon_H11f zenon_H78 zenon_H124 zenon_H12c zenon_H515 zenon_H121 zenon_H50f zenon_H10c zenon_H13e zenon_H4fb zenon_H5d zenon_H7a zenon_H511.
% 83.89/84.02 apply (zenon_or_s _ _ zenon_H518); [ zenon_intro zenon_H508 | zenon_intro zenon_H519 ].
% 83.89/84.02 apply (zenon_L597_); trivial.
% 83.89/84.02 apply (zenon_or_s _ _ zenon_H519); [ zenon_intro zenon_H10f | zenon_intro zenon_H51a ].
% 83.89/84.02 apply (zenon_L1075_); trivial.
% 83.89/84.02 apply (zenon_or_s _ _ zenon_H51a); [ zenon_intro zenon_H50d | zenon_intro zenon_H4fc ].
% 83.89/84.02 apply (zenon_L599_); trivial.
% 83.89/84.02 apply (zenon_L602_); trivial.
% 83.89/84.02 (* end of lemma zenon_L1076_ *)
% 83.89/84.02 assert (zenon_L1077_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e21) = (e22))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((e21) = (e23))) -> ((op2 (e22) (e20)) = (e20)) -> (~((e20) = (e23))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((e20) = (e21))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((e10) = (e12))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e10) (e11)) = (op1 (e11) (e10))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((e11) = (e12))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.89/84.02 do 0 intro. intros zenon_H15b zenon_Ha8 zenon_Hc9 zenon_Hd6 zenon_H21d zenon_H21e zenon_H134 zenon_Hba zenon_H118 zenon_H112 zenon_Had zenon_H11b zenon_H14b zenon_H511 zenon_H4fb zenon_H13e zenon_H50f zenon_H515 zenon_H12c zenon_H124 zenon_H11f zenon_H129 zenon_H61 zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H50 zenon_H45 zenon_H56 zenon_H220 zenon_H3f zenon_H1c8 zenon_H176 zenon_H260 zenon_H230 zenon_H2e7 zenon_H1c2 zenon_H6e4 zenon_H68b zenon_H1fd zenon_H5c zenon_H236 zenon_H1ee zenon_H200 zenon_H1f5 zenon_H2e zenon_H1f3 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25 zenon_H509 zenon_H518 zenon_H8e zenon_H94 zenon_H7c zenon_H82 zenon_H78 zenon_Hb2 zenon_H15c zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a.
% 83.89/84.02 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.89/84.02 apply (zenon_L41_); trivial.
% 83.89/84.02 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.89/84.02 apply (zenon_L151_); trivial.
% 83.89/84.02 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.89/84.02 apply (zenon_L152_); trivial.
% 83.89/84.02 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ].
% 83.89/84.02 apply (zenon_L43_); trivial.
% 83.89/84.02 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ].
% 83.89/84.02 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ].
% 83.89/84.02 apply (zenon_L43_); trivial.
% 83.89/84.02 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ].
% 83.89/84.02 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H10b | zenon_intro zenon_H137 ].
% 83.89/84.02 apply (zenon_L142_); trivial.
% 83.89/84.02 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H11e | zenon_intro zenon_H138 ].
% 83.89/84.02 apply (zenon_L81_); trivial.
% 83.89/84.02 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H121 | zenon_intro zenon_H95 ].
% 83.89/84.02 apply (zenon_L1076_); trivial.
% 83.89/84.02 apply (zenon_L36_); trivial.
% 83.89/84.02 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ].
% 83.89/84.02 apply (zenon_L139_); trivial.
% 83.92/84.03 apply (zenon_L88_); trivial.
% 83.92/84.03 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ].
% 83.92/84.03 apply (zenon_L46_); trivial.
% 83.92/84.03 apply (zenon_L31_); trivial.
% 83.92/84.03 (* end of lemma zenon_L1077_ *)
% 83.92/84.03 assert (zenon_L1078_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (op1 (e11) (e11))) = (e11))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> ((e22) = (op2 (e20) (e20))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((op2 (e23) (e21)) = (e22)) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((e11) = (e12))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 83.92/84.03 do 0 intro. intros zenon_H61 zenon_H220 zenon_H1b0 zenon_H3f zenon_H1a9 zenon_H19a zenon_H1ad zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H18e zenon_H1b6 zenon_H16d zenon_H1ba zenon_H1b9 zenon_H56 zenon_H45 zenon_H50 zenon_H1f4 zenon_H266 zenon_H1a0 zenon_H1c9 zenon_H1dc zenon_H1d4 zenon_H187 zenon_H1a5 zenon_H1d8 zenon_H1cf zenon_H1e8 zenon_H176 zenon_H1c8 zenon_H2e7 zenon_H1c2 zenon_H6e4 zenon_H78 zenon_H68b zenon_H7a zenon_H1fd zenon_H5d zenon_H5c zenon_H10f zenon_H236 zenon_H1ee zenon_H200 zenon_H1f5 zenon_H2e zenon_H1f3 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25.
% 83.92/84.03 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ].
% 83.92/84.03 apply (zenon_L11_); trivial.
% 83.92/84.03 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ].
% 83.92/84.03 apply (zenon_L20_); trivial.
% 83.92/84.03 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ].
% 83.92/84.03 apply (zenon_L22_); trivial.
% 83.92/84.03 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ].
% 83.92/84.03 apply (zenon_L11_); trivial.
% 83.92/84.03 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ].
% 83.92/84.03 apply (zenon_L171_); trivial.
% 83.92/84.03 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ].
% 83.92/84.03 apply (zenon_L1065_); trivial.
% 83.92/84.03 apply (zenon_L138_); trivial.
% 83.92/84.03 (* end of lemma zenon_L1078_ *)
% 83.92/84.03 assert (zenon_L1079_ : (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e11) = (e12))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((e22) = (op2 (e20) (e20))) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (op1 (e11) (e11))) = (e11))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> ((op2 (e23) (e22)) = (e20)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> False).
% 83.92/84.03 do 0 intro. intros zenon_H518 zenon_H509 zenon_H25 zenon_H14 zenon_H17 zenon_H1e zenon_H20d zenon_H163 zenon_H1bf zenon_H204 zenon_H2c zenon_H20a zenon_H16b zenon_H16 zenon_H173 zenon_H1f3 zenon_H2e zenon_H1f5 zenon_H200 zenon_H1ee zenon_H236 zenon_H5c zenon_H1fd zenon_H68b zenon_H78 zenon_H6e4 zenon_H1c2 zenon_H2e7 zenon_H1c8 zenon_H176 zenon_H1e8 zenon_H1cf zenon_H1d8 zenon_H1a5 zenon_H187 zenon_H1d4 zenon_H1dc zenon_H1c9 zenon_H1a0 zenon_H266 zenon_H1f4 zenon_H50 zenon_H45 zenon_H56 zenon_H1b9 zenon_H1ba zenon_H16d zenon_H1b6 zenon_H18e zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H1ad zenon_H19a zenon_H1a9 zenon_H3f zenon_H1b0 zenon_H220 zenon_H61 zenon_Hf8 zenon_H11f zenon_H515 zenon_H121 zenon_H50f zenon_H10c zenon_H13e zenon_H4fb zenon_H5d zenon_H7a zenon_H511.
% 83.92/84.03 apply (zenon_or_s _ _ zenon_H518); [ zenon_intro zenon_H508 | zenon_intro zenon_H519 ].
% 83.92/84.03 apply (zenon_L597_); trivial.
% 83.92/84.03 apply (zenon_or_s _ _ zenon_H519); [ zenon_intro zenon_H10f | zenon_intro zenon_H51a ].
% 83.92/84.03 apply (zenon_L1078_); trivial.
% 83.92/84.03 apply (zenon_or_s _ _ zenon_H51a); [ zenon_intro zenon_H50d | zenon_intro zenon_H4fc ].
% 83.92/84.03 apply (zenon_L598_); trivial.
% 83.92/84.03 apply (zenon_L602_); trivial.
% 83.92/84.03 (* end of lemma zenon_L1079_ *)
% 83.92/84.03 assert (zenon_L1080_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e21) = (e23))) -> ((op2 (e22) (e20)) = (e20)) -> (~((e20) = (e23))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (op1 (e11) (e11))) = (e11))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (~((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((e11) = (e12))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((e20) = (e22))) -> (~((e21) = (e22))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.92/84.03 do 0 intro. intros zenon_H15b zenon_Hd6 zenon_H21d zenon_H21e zenon_H48e zenon_H12f zenon_H129 zenon_H12c zenon_H133 zenon_H141 zenon_H102 zenon_Hbc zenon_Hb2 zenon_Hc9 zenon_He8 zenon_Hff zenon_Hef zenon_Hf7 zenon_Hd1 zenon_H134 zenon_Hba zenon_H118 zenon_H112 zenon_H11b zenon_H511 zenon_H4fb zenon_H13e zenon_H50f zenon_H515 zenon_H11f zenon_H61 zenon_H220 zenon_H1b0 zenon_H3f zenon_H1a9 zenon_H19a zenon_H1ad zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H18e zenon_H1b6 zenon_H16d zenon_H1ba zenon_H1b9 zenon_H56 zenon_H45 zenon_H50 zenon_H1f4 zenon_H266 zenon_H1a0 zenon_H1c9 zenon_H1dc zenon_H1d4 zenon_H187 zenon_H1a5 zenon_H1d8 zenon_H1cf zenon_H1e8 zenon_H176 zenon_H1c8 zenon_H2e7 zenon_H1c2 zenon_H6e4 zenon_H68b zenon_H1fd zenon_H5c zenon_H236 zenon_H1ee zenon_H200 zenon_H1f5 zenon_H2e zenon_H1f3 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25 zenon_H509 zenon_H518 zenon_H14b zenon_H48b zenon_H140 zenon_Had zenon_H124 zenon_H142 zenon_Hdc zenon_Ha3 zenon_Ha8 zenon_Hce zenon_H91 zenon_H94 zenon_H14f zenon_H8e zenon_H73 zenon_H7c zenon_H82 zenon_H78 zenon_H15c zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a.
% 83.92/84.03 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.92/84.03 apply (zenon_L41_); trivial.
% 83.92/84.03 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.92/84.03 apply (zenon_L151_); trivial.
% 83.92/84.03 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.92/84.03 apply (zenon_L47_); trivial.
% 83.92/84.03 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ].
% 83.92/84.03 apply (zenon_L43_); trivial.
% 83.92/84.03 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ].
% 83.92/84.03 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15f ].
% 83.92/84.03 apply (zenon_L43_); trivial.
% 83.92/84.03 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H160 ].
% 83.92/84.03 apply (zenon_or_s _ _ zenon_H48e); [ zenon_intro zenon_Hab | zenon_intro zenon_H494 ].
% 83.92/84.03 apply (zenon_L82_); trivial.
% 83.92/84.03 apply (zenon_or_s _ _ zenon_H494); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H495 ].
% 83.92/84.03 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_Hac | zenon_intro zenon_H143 ].
% 83.92/84.03 apply (zenon_L52_); trivial.
% 83.92/84.03 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_He1 | zenon_intro zenon_H144 ].
% 83.92/84.03 apply (zenon_L536_); trivial.
% 83.92/84.03 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H123 | zenon_intro zenon_H13c ].
% 83.92/84.03 apply (zenon_L71_); trivial.
% 83.92/84.03 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_Hdb | zenon_intro zenon_H145 ].
% 83.92/84.03 apply (zenon_L53_); trivial.
% 83.92/84.03 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_He2 | zenon_intro zenon_H146 ].
% 83.92/84.03 apply (zenon_L537_); trivial.
% 83.92/84.03 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H130 ].
% 83.92/84.03 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H10b | zenon_intro zenon_H137 ].
% 83.92/84.03 apply (zenon_L142_); trivial.
% 83.92/84.03 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H11e | zenon_intro zenon_H138 ].
% 83.92/84.03 apply (zenon_L81_); trivial.
% 83.92/84.03 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H121 | zenon_intro zenon_H95 ].
% 83.92/84.03 apply (zenon_L1079_); trivial.
% 83.92/84.03 apply (zenon_L36_); trivial.
% 83.92/84.03 apply (zenon_L77_); trivial.
% 83.92/84.03 apply (zenon_or_s _ _ zenon_H495); [ zenon_intro zenon_H120 | zenon_intro zenon_H74 ].
% 83.92/84.03 apply (zenon_L543_); trivial.
% 83.92/84.03 apply (zenon_L32_); trivial.
% 83.92/84.03 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H152 | zenon_intro zenon_H159 ].
% 83.92/84.03 apply (zenon_L139_); trivial.
% 83.92/84.03 apply (zenon_L88_); trivial.
% 83.92/84.03 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ].
% 83.92/84.03 apply (zenon_L46_); trivial.
% 83.92/84.03 apply (zenon_L31_); trivial.
% 83.92/84.03 (* end of lemma zenon_L1080_ *)
% 83.92/84.03 assert (zenon_L1081_ : ((h1 (e10)) = (e20)) -> ((op1 (e13) (e12)) = (e10)) -> (~((e20) = (h1 (op1 (e13) (e12))))) -> False).
% 83.92/84.03 do 0 intro. intros zenon_H64 zenon_H19c zenon_H6ea.
% 83.92/84.03 elim (classic ((h1 (op1 (e13) (e12))) = (h1 (op1 (e13) (e12))))); [ zenon_intro zenon_H6eb | zenon_intro zenon_H6ec ].
% 83.92/84.03 cut (((h1 (op1 (e13) (e12))) = (h1 (op1 (e13) (e12)))) = ((e20) = (h1 (op1 (e13) (e12))))).
% 83.92/84.03 intro zenon_D_pnotp.
% 83.92/84.03 apply zenon_H6ea.
% 83.92/84.03 rewrite <- zenon_D_pnotp.
% 83.92/84.03 exact zenon_H6eb.
% 83.92/84.03 cut (((h1 (op1 (e13) (e12))) = (h1 (op1 (e13) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H6ec].
% 83.92/84.03 cut (((h1 (op1 (e13) (e12))) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H6ed].
% 83.92/84.03 congruence.
% 83.92/84.03 cut (((h1 (e10)) = (e20)) = ((h1 (op1 (e13) (e12))) = (e20))).
% 83.92/84.03 intro zenon_D_pnotp.
% 83.92/84.03 apply zenon_H6ed.
% 83.92/84.03 rewrite <- zenon_D_pnotp.
% 83.92/84.03 exact zenon_H64.
% 83.92/84.03 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H60].
% 83.92/84.03 cut (((h1 (e10)) = (h1 (op1 (e13) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H6ee].
% 83.92/84.03 congruence.
% 83.92/84.03 elim (classic ((h1 (op1 (e13) (e12))) = (h1 (op1 (e13) (e12))))); [ zenon_intro zenon_H6eb | zenon_intro zenon_H6ec ].
% 83.92/84.03 cut (((h1 (op1 (e13) (e12))) = (h1 (op1 (e13) (e12)))) = ((h1 (e10)) = (h1 (op1 (e13) (e12))))).
% 83.92/84.03 intro zenon_D_pnotp.
% 83.92/84.03 apply zenon_H6ee.
% 83.92/84.03 rewrite <- zenon_D_pnotp.
% 83.92/84.03 exact zenon_H6eb.
% 83.92/84.03 cut (((h1 (op1 (e13) (e12))) = (h1 (op1 (e13) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H6ec].
% 83.92/84.03 cut (((h1 (op1 (e13) (e12))) = (h1 (e10)))); [idtac | apply NNPP; zenon_intro zenon_H6ef].
% 83.92/84.03 congruence.
% 83.92/84.03 cut (((op1 (e13) (e12)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H36b].
% 83.92/84.03 congruence.
% 83.92/84.03 exact (zenon_H36b zenon_H19c).
% 83.92/84.03 apply zenon_H6ec. apply refl_equal.
% 83.92/84.03 apply zenon_H6ec. apply refl_equal.
% 83.92/84.03 apply zenon_H60. apply refl_equal.
% 83.92/84.03 apply zenon_H6ec. apply refl_equal.
% 83.92/84.03 apply zenon_H6ec. apply refl_equal.
% 83.92/84.03 (* end of lemma zenon_L1081_ *)
% 83.92/84.03 assert (zenon_L1082_ : ((op2 (e23) (e22)) = (e20)) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((e22) = (op2 (e20) (e20))) -> ((h1 (e10)) = (e20)) -> ((op1 (e13) (e12)) = (e10)) -> (~((h1 (op1 (e13) (e12))) = (op2 (h1 (e13)) (h1 (e12))))) -> False).
% 83.92/84.03 do 0 intro. intros zenon_H121 zenon_H5c zenon_H5d zenon_H68b zenon_H78 zenon_H64 zenon_H19c zenon_H6f0.
% 83.92/84.03 elim (classic ((op2 (h1 (e13)) (h1 (e12))) = (op2 (h1 (e13)) (h1 (e12))))); [ zenon_intro zenon_H6f1 | zenon_intro zenon_H6f2 ].
% 83.92/84.03 cut (((op2 (h1 (e13)) (h1 (e12))) = (op2 (h1 (e13)) (h1 (e12)))) = ((h1 (op1 (e13) (e12))) = (op2 (h1 (e13)) (h1 (e12))))).
% 83.92/84.03 intro zenon_D_pnotp.
% 83.92/84.03 apply zenon_H6f0.
% 83.92/84.03 rewrite <- zenon_D_pnotp.
% 83.92/84.03 exact zenon_H6f1.
% 83.92/84.03 cut (((op2 (h1 (e13)) (h1 (e12))) = (op2 (h1 (e13)) (h1 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H6f2].
% 83.92/84.03 cut (((op2 (h1 (e13)) (h1 (e12))) = (h1 (op1 (e13) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H6f3].
% 83.92/84.03 congruence.
% 83.92/84.03 cut (((op2 (e23) (e22)) = (e20)) = ((op2 (h1 (e13)) (h1 (e12))) = (h1 (op1 (e13) (e12))))).
% 83.92/84.03 intro zenon_D_pnotp.
% 83.92/84.03 apply zenon_H6f3.
% 83.92/84.03 rewrite <- zenon_D_pnotp.
% 83.92/84.03 exact zenon_H121.
% 83.92/84.03 cut (((e20) = (h1 (op1 (e13) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H6ea].
% 83.92/84.03 cut (((op2 (e23) (e22)) = (op2 (h1 (e13)) (h1 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H6f4].
% 83.92/84.03 congruence.
% 83.92/84.03 elim (classic ((op2 (h1 (e13)) (h1 (e12))) = (op2 (h1 (e13)) (h1 (e12))))); [ zenon_intro zenon_H6f1 | zenon_intro zenon_H6f2 ].
% 83.92/84.03 cut (((op2 (h1 (e13)) (h1 (e12))) = (op2 (h1 (e13)) (h1 (e12)))) = ((op2 (e23) (e22)) = (op2 (h1 (e13)) (h1 (e12))))).
% 83.92/84.03 intro zenon_D_pnotp.
% 83.92/84.03 apply zenon_H6f4.
% 83.92/84.03 rewrite <- zenon_D_pnotp.
% 83.92/84.03 exact zenon_H6f1.
% 83.92/84.03 cut (((op2 (h1 (e13)) (h1 (e12))) = (op2 (h1 (e13)) (h1 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H6f2].
% 83.92/84.03 cut (((op2 (h1 (e13)) (h1 (e12))) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H6f5].
% 83.92/84.03 congruence.
% 83.92/84.03 cut (((h1 (e12)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H68a].
% 83.92/84.03 cut (((h1 (e13)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H5b].
% 83.92/84.03 congruence.
% 83.92/84.03 apply (zenon_L23_); trivial.
% 83.92/84.03 apply (zenon_L978_); trivial.
% 83.92/84.03 apply zenon_H6f2. apply refl_equal.
% 83.92/84.03 apply zenon_H6f2. apply refl_equal.
% 83.92/84.03 apply (zenon_L1081_); trivial.
% 83.92/84.03 apply zenon_H6f2. apply refl_equal.
% 83.92/84.03 apply zenon_H6f2. apply refl_equal.
% 83.92/84.03 (* end of lemma zenon_L1082_ *)
% 83.92/84.03 assert (zenon_L1083_ : (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((h1 (op1 (e13) (e12))) = (op2 (h1 (e13)) (h1 (e12))))) -> ((h1 (e10)) = (e20)) -> ((e22) = (op2 (e20) (e20))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((op2 (e23) (e22)) = (e20)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e10)) = (e10)) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 83.92/84.03 do 0 intro. intros zenon_H173 zenon_H16 zenon_H6f0 zenon_H64 zenon_H78 zenon_H68b zenon_H5d zenon_H5c zenon_H121 zenon_H1d8 zenon_H1ff zenon_H1b0 zenon_H16b zenon_H20a zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1c2 zenon_H19a zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H2c zenon_H56 zenon_H45 zenon_H50 zenon_H256 zenon_H1e zenon_H17 zenon_H14 zenon_H25.
% 83.92/84.03 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H18 | zenon_intro zenon_H174 ].
% 83.92/84.03 apply (zenon_L3_); trivial.
% 83.92/84.03 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H169 | zenon_intro zenon_H175 ].
% 83.92/84.03 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H59 | zenon_intro zenon_H257 ].
% 83.92/84.03 apply (zenon_L22_); trivial.
% 83.92/84.03 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H19b | zenon_intro zenon_H258 ].
% 83.92/84.03 apply (zenon_L181_); trivial.
% 83.92/84.03 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H19c ].
% 83.92/84.03 apply (zenon_L182_); trivial.
% 83.92/84.03 apply (zenon_L1082_); trivial.
% 83.92/84.03 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H24 ].
% 83.92/84.03 apply (zenon_L4_); trivial.
% 83.92/84.03 apply (zenon_L5_); trivial.
% 83.92/84.03 (* end of lemma zenon_L1083_ *)
% 83.92/84.03 assert (zenon_L1084_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (op1 (e10) (e10))) = (e12))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((e11) = (e12))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op2 (e23) (e22)) = (e20)) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((e22) = (op2 (e20) (e20))) -> ((h1 (e10)) = (e20)) -> (~((h1 (op1 (e13) (e12))) = (op2 (h1 (e13)) (h1 (e12))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 83.92/84.03 do 0 intro. intros zenon_H61 zenon_H220 zenon_H1f5 zenon_H1a9 zenon_H1ad zenon_H16d zenon_H1ba zenon_H1b9 zenon_H1f4 zenon_H1e4 zenon_H1e0 zenon_H3f zenon_H18e zenon_H1b6 zenon_H1a0 zenon_H1c9 zenon_H2e zenon_H1dc zenon_H1d4 zenon_H187 zenon_H1a5 zenon_H1cf zenon_H1e8 zenon_H176 zenon_H1c8 zenon_H1ee zenon_H1f3 zenon_H256 zenon_H50 zenon_H45 zenon_H56 zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H19a zenon_H1c2 zenon_H1b0 zenon_H1d8 zenon_H121 zenon_H5c zenon_H5d zenon_H68b zenon_H78 zenon_H64 zenon_H6f0 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25.
% 83.92/84.03 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ].
% 83.92/84.03 apply (zenon_L11_); trivial.
% 83.92/84.03 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ].
% 83.92/84.03 apply (zenon_L20_); trivial.
% 83.92/84.03 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ].
% 83.92/84.03 apply (zenon_L22_); trivial.
% 83.92/84.03 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ].
% 83.92/84.03 apply (zenon_L11_); trivial.
% 83.92/84.03 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ].
% 83.92/84.03 apply (zenon_L129_); trivial.
% 83.92/84.03 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ].
% 83.92/84.03 apply (zenon_L1083_); trivial.
% 83.92/84.03 apply (zenon_L138_); trivial.
% 83.92/84.03 (* end of lemma zenon_L1084_ *)
% 83.92/84.03 assert (zenon_L1085_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((e10) = (e12))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e11) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e12) (e10)) = (op1 (e10) (e12))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op2 (e23) (e22)) = (e20)) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((e22) = (op2 (e20) (e20))) -> ((h1 (e10)) = (e20)) -> (~((h1 (op1 (e13) (e12))) = (op2 (h1 (e13)) (h1 (e12))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 83.92/84.03 do 0 intro. intros zenon_H220 zenon_H3f zenon_H1f3 zenon_H2e zenon_H16d zenon_H245 zenon_H249 zenon_H256 zenon_H50 zenon_H45 zenon_H56 zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H19a zenon_H1c2 zenon_H1b0 zenon_H1d8 zenon_H121 zenon_H5c zenon_H5d zenon_H68b zenon_H78 zenon_H64 zenon_H6f0 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25.
% 83.92/84.03 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ].
% 83.92/84.03 apply (zenon_L11_); trivial.
% 83.92/84.03 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ].
% 83.92/84.03 apply (zenon_L154_); trivial.
% 83.92/84.03 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ].
% 83.92/84.03 apply (zenon_L1083_); trivial.
% 83.92/84.03 apply (zenon_L138_); trivial.
% 83.92/84.03 (* end of lemma zenon_L1085_ *)
% 83.92/84.03 assert (zenon_L1086_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (op1 (e10) (e13))) = (e11))) -> (~((e12) = (e13))) -> (~((e10) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e10)) = (op1 (e10) (e13))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((e11) = (e12))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op2 (e23) (e22)) = (e20)) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((e22) = (op2 (e20) (e20))) -> ((h1 (e10)) = (e20)) -> (~((h1 (op1 (e13) (e12))) = (op2 (h1 (e13)) (h1 (e12))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 83.92/84.03 do 0 intro. intros zenon_H61 zenon_H220 zenon_H1f5 zenon_H16d zenon_H1ba zenon_H1f4 zenon_H24d zenon_H25a zenon_H200 zenon_H252 zenon_H253 zenon_H229 zenon_H1b6 zenon_H18e zenon_H1ad zenon_H1a9 zenon_H3f zenon_H1e4 zenon_H25d zenon_H1b9 zenon_H1a0 zenon_H1c9 zenon_H2e zenon_H1dc zenon_H1d4 zenon_H187 zenon_H1a5 zenon_H1cf zenon_H1e8 zenon_H176 zenon_H1c8 zenon_H1ee zenon_H1f3 zenon_H256 zenon_H50 zenon_H45 zenon_H56 zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H19a zenon_H1c2 zenon_H1b0 zenon_H1d8 zenon_H121 zenon_H5c zenon_H5d zenon_H68b zenon_H78 zenon_H64 zenon_H6f0 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25.
% 83.92/84.03 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ].
% 83.92/84.03 apply (zenon_L11_); trivial.
% 83.92/84.03 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ].
% 83.92/84.03 apply (zenon_L20_); trivial.
% 83.92/84.03 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ].
% 83.92/84.03 apply (zenon_L22_); trivial.
% 83.92/84.03 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ].
% 83.92/84.03 apply (zenon_L11_); trivial.
% 83.92/84.03 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ].
% 83.92/84.03 apply (zenon_L164_); trivial.
% 83.92/84.03 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ].
% 83.92/84.03 apply (zenon_L1083_); trivial.
% 83.92/84.03 apply (zenon_L138_); trivial.
% 83.92/84.03 (* end of lemma zenon_L1086_ *)
% 83.92/84.03 assert (zenon_L1087_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((e10) = (e12))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e10) (e11)) = (op1 (e11) (e10))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op2 (e23) (e22)) = (e20)) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((e22) = (op2 (e20) (e20))) -> ((h1 (e10)) = (e20)) -> (~((h1 (op1 (e13) (e12))) = (op2 (h1 (e13)) (h1 (e12))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 83.92/84.03 do 0 intro. intros zenon_H61 zenon_H220 zenon_H3f zenon_H1c8 zenon_H176 zenon_H260 zenon_H230 zenon_H256 zenon_H50 zenon_H45 zenon_H56 zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H19a zenon_H1c2 zenon_H1b0 zenon_H1d8 zenon_H121 zenon_H5c zenon_H5d zenon_H68b zenon_H78 zenon_H64 zenon_H6f0 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25.
% 83.92/84.03 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ].
% 83.92/84.03 apply (zenon_L11_); trivial.
% 83.92/84.03 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ].
% 83.92/84.03 apply (zenon_L20_); trivial.
% 83.92/84.03 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ].
% 83.92/84.03 apply (zenon_L22_); trivial.
% 83.92/84.03 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ].
% 83.92/84.03 apply (zenon_L11_); trivial.
% 83.92/84.03 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ].
% 83.92/84.03 apply (zenon_L167_); trivial.
% 83.92/84.03 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ].
% 83.92/84.03 apply (zenon_L1083_); trivial.
% 83.92/84.03 apply (zenon_L138_); trivial.
% 83.92/84.03 (* end of lemma zenon_L1087_ *)
% 83.92/84.03 assert (zenon_L1088_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (op1 (e11) (e11))) = (e11))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((e11) = (e12))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op2 (e23) (e22)) = (e20)) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((h1 (e12)) = (op2 (e20) (e20))) -> ((e22) = (op2 (e20) (e20))) -> ((h1 (e10)) = (e20)) -> (~((h1 (op1 (e13) (e12))) = (op2 (h1 (e13)) (h1 (e12))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 83.92/84.03 do 0 intro. intros zenon_H61 zenon_H220 zenon_H1f5 zenon_H3f zenon_H1a9 zenon_H1ad zenon_H18e zenon_H1b6 zenon_H16d zenon_H1ba zenon_H1b9 zenon_H1f4 zenon_H266 zenon_H1a0 zenon_H1c9 zenon_H2e zenon_H1dc zenon_H1d4 zenon_H187 zenon_H1a5 zenon_H1cf zenon_H1e8 zenon_H176 zenon_H1c8 zenon_H1ee zenon_H1f3 zenon_H256 zenon_H50 zenon_H45 zenon_H56 zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H19a zenon_H1c2 zenon_H1b0 zenon_H1d8 zenon_H121 zenon_H5c zenon_H5d zenon_H68b zenon_H78 zenon_H64 zenon_H6f0 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25.
% 83.92/84.03 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ].
% 83.92/84.03 apply (zenon_L11_); trivial.
% 83.92/84.03 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ].
% 83.92/84.03 apply (zenon_L20_); trivial.
% 83.92/84.03 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ].
% 83.92/84.03 apply (zenon_L22_); trivial.
% 83.92/84.03 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ].
% 83.92/84.03 apply (zenon_L11_); trivial.
% 83.92/84.03 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ].
% 83.92/84.03 apply (zenon_L171_); trivial.
% 83.92/84.03 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ].
% 83.92/84.03 apply (zenon_L1083_); trivial.
% 83.92/84.03 apply (zenon_L138_); trivial.
% 83.92/84.03 (* end of lemma zenon_L1088_ *)
% 83.92/84.03 assert (zenon_L1089_ : ((op1 (e13) (e12)) = (e10)) -> ((op1 (e13) (e12)) = (e13)) -> (~((e10) = (e13))) -> False).
% 83.92/84.03 do 0 intro. intros zenon_H19c zenon_H36d zenon_H200.
% 83.92/84.03 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H1ef | zenon_intro zenon_H1f0 ].
% 83.92/84.03 cut (((e13) = (e13)) = ((e10) = (e13))).
% 83.92/84.03 intro zenon_D_pnotp.
% 83.92/84.03 apply zenon_H200.
% 83.92/84.03 rewrite <- zenon_D_pnotp.
% 83.92/84.03 exact zenon_H1ef.
% 83.92/84.03 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H1f0].
% 83.92/84.03 cut (((e13) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H201].
% 83.92/84.03 congruence.
% 83.92/84.03 cut (((op1 (e13) (e12)) = (e10)) = ((e13) = (e10))).
% 83.92/84.03 intro zenon_D_pnotp.
% 83.92/84.03 apply zenon_H201.
% 83.92/84.03 rewrite <- zenon_D_pnotp.
% 83.92/84.03 exact zenon_H19c.
% 83.92/84.03 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H12].
% 83.92/84.03 cut (((op1 (e13) (e12)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H36e].
% 83.92/84.03 congruence.
% 83.92/84.03 exact (zenon_H36e zenon_H36d).
% 83.92/84.03 apply zenon_H12. apply refl_equal.
% 83.92/84.03 apply zenon_H1f0. apply refl_equal.
% 83.92/84.03 apply zenon_H1f0. apply refl_equal.
% 83.92/84.03 (* end of lemma zenon_L1089_ *)
% 83.92/84.03 assert (zenon_L1090_ : (~((h1 (op1 (e13) (e13))) = (op2 (h1 (e13)) (h1 (e13))))) -> ((op1 (e13) (e13)) = (e13)) -> ((op2 (e23) (e23)) = (e23)) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> False).
% 83.92/84.03 do 0 intro. intros zenon_H6f6 zenon_H2dd zenon_H4ff zenon_H5c zenon_H5d.
% 83.92/84.03 cut (((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) = ((h1 (op1 (e13) (e13))) = (op2 (h1 (e13)) (h1 (e13))))).
% 83.92/84.03 intro zenon_D_pnotp.
% 83.92/84.03 apply zenon_H6f6.
% 83.92/84.03 rewrite <- zenon_D_pnotp.
% 83.92/84.03 exact zenon_H5c.
% 83.92/84.03 cut (((op2 (e20) (op2 (e20) (op2 (e20) (e20)))) = (op2 (h1 (e13)) (h1 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H6f7].
% 83.92/84.03 cut (((h1 (e13)) = (h1 (op1 (e13) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H6f8].
% 83.92/84.03 congruence.
% 83.92/84.03 elim (classic ((h1 (op1 (e13) (e13))) = (h1 (op1 (e13) (e13))))); [ zenon_intro zenon_H6f9 | zenon_intro zenon_H6fa ].
% 83.92/84.03 cut (((h1 (op1 (e13) (e13))) = (h1 (op1 (e13) (e13)))) = ((h1 (e13)) = (h1 (op1 (e13) (e13))))).
% 83.92/84.03 intro zenon_D_pnotp.
% 83.92/84.03 apply zenon_H6f8.
% 83.92/84.03 rewrite <- zenon_D_pnotp.
% 83.92/84.03 exact zenon_H6f9.
% 83.92/84.03 cut (((h1 (op1 (e13) (e13))) = (h1 (op1 (e13) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H6fa].
% 83.92/84.03 cut (((h1 (op1 (e13) (e13))) = (h1 (e13)))); [idtac | apply NNPP; zenon_intro zenon_H6fb].
% 83.92/84.03 congruence.
% 83.92/84.03 cut (((op1 (e13) (e13)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H2de].
% 83.92/84.03 congruence.
% 83.92/84.03 exact (zenon_H2de zenon_H2dd).
% 83.92/84.03 apply zenon_H6fa. apply refl_equal.
% 83.92/84.03 apply zenon_H6fa. apply refl_equal.
% 83.92/84.03 elim (classic ((op2 (h1 (e13)) (h1 (e13))) = (op2 (h1 (e13)) (h1 (e13))))); [ zenon_intro zenon_H6fc | zenon_intro zenon_H6fd ].
% 83.92/84.03 cut (((op2 (h1 (e13)) (h1 (e13))) = (op2 (h1 (e13)) (h1 (e13)))) = ((op2 (e20) (op2 (e20) (op2 (e20) (e20)))) = (op2 (h1 (e13)) (h1 (e13))))).
% 83.92/84.03 intro zenon_D_pnotp.
% 83.92/84.03 apply zenon_H6f7.
% 83.92/84.03 rewrite <- zenon_D_pnotp.
% 83.92/84.03 exact zenon_H6fc.
% 83.92/84.03 cut (((op2 (h1 (e13)) (h1 (e13))) = (op2 (h1 (e13)) (h1 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H6fd].
% 83.92/84.03 cut (((op2 (h1 (e13)) (h1 (e13))) = (op2 (e20) (op2 (e20) (op2 (e20) (e20)))))); [idtac | apply NNPP; zenon_intro zenon_H6fe].
% 83.92/84.03 congruence.
% 83.92/84.03 cut (((op2 (e23) (e23)) = (e23)) = ((op2 (h1 (e13)) (h1 (e13))) = (op2 (e20) (op2 (e20) (op2 (e20) (e20)))))).
% 83.92/84.03 intro zenon_D_pnotp.
% 83.92/84.03 apply zenon_H6fe.
% 83.92/84.03 rewrite <- zenon_D_pnotp.
% 83.92/84.03 exact zenon_H4ff.
% 83.92/84.03 cut (((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20)))))); [idtac | apply NNPP; zenon_intro zenon_H21a].
% 83.92/84.03 cut (((op2 (e23) (e23)) = (op2 (h1 (e13)) (h1 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H6ff].
% 83.92/84.03 congruence.
% 83.92/84.03 elim (classic ((op2 (h1 (e13)) (h1 (e13))) = (op2 (h1 (e13)) (h1 (e13))))); [ zenon_intro zenon_H6fc | zenon_intro zenon_H6fd ].
% 83.92/84.03 cut (((op2 (h1 (e13)) (h1 (e13))) = (op2 (h1 (e13)) (h1 (e13)))) = ((op2 (e23) (e23)) = (op2 (h1 (e13)) (h1 (e13))))).
% 83.92/84.03 intro zenon_D_pnotp.
% 83.92/84.03 apply zenon_H6ff.
% 83.92/84.03 rewrite <- zenon_D_pnotp.
% 83.92/84.03 exact zenon_H6fc.
% 83.92/84.03 cut (((op2 (h1 (e13)) (h1 (e13))) = (op2 (h1 (e13)) (h1 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H6fd].
% 83.92/84.03 cut (((op2 (h1 (e13)) (h1 (e13))) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H700].
% 83.92/84.03 congruence.
% 83.92/84.03 cut (((h1 (e13)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H5b].
% 83.92/84.03 cut (((h1 (e13)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H5b].
% 83.92/84.03 congruence.
% 83.92/84.03 apply (zenon_L23_); trivial.
% 83.92/84.03 apply (zenon_L23_); trivial.
% 83.92/84.03 apply zenon_H6fd. apply refl_equal.
% 83.92/84.03 apply zenon_H6fd. apply refl_equal.
% 83.92/84.03 exact (zenon_H21a zenon_H5d).
% 83.92/84.03 apply zenon_H6fd. apply refl_equal.
% 83.92/84.03 apply zenon_H6fd. apply refl_equal.
% 83.92/84.03 (* end of lemma zenon_L1090_ *)
% 83.92/84.03 assert (zenon_L1091_ : (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e11) = (e12))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((op2 (e23) (e23)) = (e23)) -> (~((h1 (op1 (e13) (e13))) = (op2 (h1 (e13)) (h1 (e13))))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((e11) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e10)) = (e10)) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 83.92/84.03 do 0 intro. intros zenon_H1f3 zenon_H2e zenon_H1f5 zenon_H173 zenon_H16 zenon_H5d zenon_H5c zenon_H4ff zenon_H6f6 zenon_H200 zenon_H236 zenon_H1ee zenon_H3f7 zenon_H1d8 zenon_H1ff zenon_H1b0 zenon_H16b zenon_H20a zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1c2 zenon_H19a zenon_H4d zenon_H53 zenon_H3a zenon_H49 zenon_H2c zenon_H56 zenon_H45 zenon_H50 zenon_H256 zenon_H1e zenon_H17 zenon_H14 zenon_H25.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H2d | zenon_intro zenon_H1f6 ].
% 83.92/84.04 apply (zenon_L7_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H162 | zenon_intro zenon_H1f7 ].
% 83.92/84.04 apply (zenon_L178_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H16c | zenon_intro zenon_H195 ].
% 83.92/84.04 apply (zenon_L179_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H18 | zenon_intro zenon_H174 ].
% 83.92/84.04 apply (zenon_L3_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H169 | zenon_intro zenon_H175 ].
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H59 | zenon_intro zenon_H257 ].
% 83.92/84.04 apply (zenon_L22_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H19b | zenon_intro zenon_H258 ].
% 83.92/84.04 apply (zenon_L181_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H19c ].
% 83.92/84.04 apply (zenon_L182_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H3f7); [ zenon_intro zenon_H1ed | zenon_intro zenon_H3f8 ].
% 83.92/84.04 apply (zenon_L128_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H3f8); [ zenon_intro zenon_H235 | zenon_intro zenon_H3f9 ].
% 83.92/84.04 apply (zenon_L149_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H3f9); [ zenon_intro zenon_H36d | zenon_intro zenon_H2dd ].
% 83.92/84.04 apply (zenon_L1089_); trivial.
% 83.92/84.04 apply (zenon_L1090_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H24 ].
% 83.92/84.04 apply (zenon_L4_); trivial.
% 83.92/84.04 apply (zenon_L5_); trivial.
% 83.92/84.04 (* end of lemma zenon_L1091_ *)
% 83.92/84.04 assert (zenon_L1092_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e20) (e21)) = (e23)) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((e21) = (e23))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((e20) = (e23))) -> ((op2 (e23) (e22)) = (e20)) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (op1 (e10) (e10))) = (e12))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e11) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((e10) = (e13))) -> (~((h1 (op1 (e13) (e13))) = (op2 (h1 (e13)) (h1 (e13))))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((e11) = (e12))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 83.92/84.04 do 0 intro. intros zenon_H587 zenon_Hb8 zenon_Hba zenon_H118 zenon_H78 zenon_H112 zenon_H13e zenon_Hd6 zenon_H11b zenon_H511 zenon_H7a zenon_H21e zenon_H121 zenon_H61 zenon_H220 zenon_H1a9 zenon_H1ad zenon_H16d zenon_H1ba zenon_H1b9 zenon_H1f4 zenon_H1e4 zenon_H1e0 zenon_H3f zenon_H18e zenon_H1b6 zenon_H1a0 zenon_H1c9 zenon_H1dc zenon_H1d4 zenon_H187 zenon_H1a5 zenon_H1cf zenon_H1e8 zenon_H176 zenon_H1c8 zenon_H256 zenon_H50 zenon_H45 zenon_H56 zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H19a zenon_H1c2 zenon_H1b0 zenon_H1d8 zenon_H3f7 zenon_H1ee zenon_H236 zenon_H200 zenon_H6f6 zenon_H5c zenon_H5d zenon_H1f5 zenon_H2e zenon_H1f3 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H587); [ zenon_intro zenon_H159 | zenon_intro zenon_H588 ].
% 83.92/84.04 apply (zenon_L140_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H588); [ zenon_intro zenon_H510 | zenon_intro zenon_H589 ].
% 83.92/84.04 apply (zenon_L601_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H589); [ zenon_intro zenon_H582 | zenon_intro zenon_H4ff ].
% 83.92/84.04 apply (zenon_L1024_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ].
% 83.92/84.04 apply (zenon_L11_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ].
% 83.92/84.04 apply (zenon_L20_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ].
% 83.92/84.04 apply (zenon_L22_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ].
% 83.92/84.04 apply (zenon_L11_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ].
% 83.92/84.04 apply (zenon_L129_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ].
% 83.92/84.04 apply (zenon_L1091_); trivial.
% 83.92/84.04 apply (zenon_L138_); trivial.
% 83.92/84.04 (* end of lemma zenon_L1092_ *)
% 83.92/84.04 assert (zenon_L1093_ : (((op1 (e10) (e10)) = (op1 (e10) (e10)))/\((~((op1 (e10) (op1 (e10) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e10) (e10))) = (e11)))/\((~((op1 (e12) (op1 (e10) (e10))) = (e12)))/\(~((op1 (e13) (op1 (e10) (e10))) = (e13))))))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((e21) = (e23))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((e20) = (e23))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e11) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((e10) = (e13))) -> (~((h1 (op1 (e13) (e13))) = (op2 (h1 (e13)) (h1 (e13))))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((e11) = (e12))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((e20) = (e21))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.92/84.04 do 0 intro. intros zenon_H380 zenon_H78 zenon_H82 zenon_H7c zenon_H94 zenon_H8e zenon_H587 zenon_Hba zenon_H118 zenon_H112 zenon_H13e zenon_Hd6 zenon_H11b zenon_H511 zenon_H21e zenon_H61 zenon_H220 zenon_H1a9 zenon_H1ad zenon_H16d zenon_H1ba zenon_H1b9 zenon_H1f4 zenon_H1e4 zenon_H3f zenon_H18e zenon_H1b6 zenon_H1a0 zenon_H1c9 zenon_H1dc zenon_H1d4 zenon_H187 zenon_H1a5 zenon_H1cf zenon_H1e8 zenon_H176 zenon_H1c8 zenon_H256 zenon_H50 zenon_H45 zenon_H56 zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H19a zenon_H1c2 zenon_H1b0 zenon_H1d8 zenon_H3f7 zenon_H1ee zenon_H236 zenon_H200 zenon_H6f6 zenon_H5c zenon_H1f5 zenon_H2e zenon_H1f3 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25 zenon_H14b zenon_Hc9 zenon_Hb2 zenon_Had zenon_H134 zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H1a. zenon_intro zenon_H381.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H9e. zenon_intro zenon_H382.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H384. zenon_intro zenon_H383.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H1e0. zenon_intro zenon_H385.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ].
% 83.92/84.04 apply (zenon_L43_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ].
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H10b | zenon_intro zenon_H137 ].
% 83.92/84.04 apply (zenon_L143_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H11e | zenon_intro zenon_H138 ].
% 83.92/84.04 apply (zenon_L81_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H121 | zenon_intro zenon_H95 ].
% 83.92/84.04 apply (zenon_L1092_); trivial.
% 83.92/84.04 apply (zenon_L36_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ].
% 83.92/84.04 apply (zenon_L46_); trivial.
% 83.92/84.04 apply (zenon_L31_); trivial.
% 83.92/84.04 (* end of lemma zenon_L1093_ *)
% 83.92/84.04 assert (zenon_L1094_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e20) (e21)) = (e23)) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((e21) = (e23))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((e20) = (e23))) -> ((op2 (e23) (e22)) = (e20)) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((e10) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e12) (e10)) = (op1 (e10) (e12))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e11) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((e10) = (e13))) -> (~((h1 (op1 (e13) (e13))) = (op2 (h1 (e13)) (h1 (e13))))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((e11) = (e12))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 83.92/84.04 do 0 intro. intros zenon_H587 zenon_Hb8 zenon_Hba zenon_H118 zenon_H78 zenon_H112 zenon_H13e zenon_Hd6 zenon_H11b zenon_H511 zenon_H7a zenon_H21e zenon_H121 zenon_H220 zenon_H3f zenon_H16d zenon_H245 zenon_H249 zenon_H256 zenon_H50 zenon_H45 zenon_H56 zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H19a zenon_H1c2 zenon_H1b0 zenon_H1d8 zenon_H3f7 zenon_H1ee zenon_H236 zenon_H200 zenon_H6f6 zenon_H5c zenon_H5d zenon_H1f5 zenon_H2e zenon_H1f3 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H587); [ zenon_intro zenon_H159 | zenon_intro zenon_H588 ].
% 83.92/84.04 apply (zenon_L140_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H588); [ zenon_intro zenon_H510 | zenon_intro zenon_H589 ].
% 83.92/84.04 apply (zenon_L601_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H589); [ zenon_intro zenon_H582 | zenon_intro zenon_H4ff ].
% 83.92/84.04 apply (zenon_L1024_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ].
% 83.92/84.04 apply (zenon_L11_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ].
% 83.92/84.04 apply (zenon_L154_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ].
% 83.92/84.04 apply (zenon_L1091_); trivial.
% 83.92/84.04 apply (zenon_L138_); trivial.
% 83.92/84.04 (* end of lemma zenon_L1094_ *)
% 83.92/84.04 assert (zenon_L1095_ : (((op1 (e12) (e10)) = (op1 (e10) (e12)))/\((~((op1 (e10) (op1 (e10) (e12))) = (e10)))/\((~((op1 (e11) (op1 (e10) (e12))) = (e11)))/\((~((op1 (e12) (op1 (e10) (e12))) = (e12)))/\(~((op1 (e13) (op1 (e10) (e12))) = (e13))))))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((e21) = (e23))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((e20) = (e23))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((e10) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e11) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((e10) = (e13))) -> (~((h1 (op1 (e13) (e13))) = (op2 (h1 (e13)) (h1 (e13))))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((e11) = (e12))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((e20) = (e21))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.92/84.04 do 0 intro. intros zenon_H388 zenon_H78 zenon_H82 zenon_H7c zenon_H94 zenon_H8e zenon_H587 zenon_Hba zenon_H118 zenon_H112 zenon_H13e zenon_Hd6 zenon_H11b zenon_H511 zenon_H21e zenon_H220 zenon_H3f zenon_H16d zenon_H249 zenon_H256 zenon_H50 zenon_H45 zenon_H56 zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H19a zenon_H1c2 zenon_H1b0 zenon_H1d8 zenon_H3f7 zenon_H1ee zenon_H236 zenon_H200 zenon_H6f6 zenon_H5c zenon_H1f5 zenon_H2e zenon_H1f3 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25 zenon_H14b zenon_Hc9 zenon_Hb2 zenon_Had zenon_H134 zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H388). zenon_intro zenon_H245. zenon_intro zenon_H389.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ].
% 83.92/84.04 apply (zenon_L43_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ].
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H10b | zenon_intro zenon_H137 ].
% 83.92/84.04 apply (zenon_L143_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H11e | zenon_intro zenon_H138 ].
% 83.92/84.04 apply (zenon_L81_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H121 | zenon_intro zenon_H95 ].
% 83.92/84.04 apply (zenon_L1094_); trivial.
% 83.92/84.04 apply (zenon_L36_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ].
% 83.92/84.04 apply (zenon_L46_); trivial.
% 83.92/84.04 apply (zenon_L31_); trivial.
% 83.92/84.04 (* end of lemma zenon_L1095_ *)
% 83.92/84.04 assert (zenon_L1096_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e20) (e21)) = (e23)) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((e21) = (e23))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((e20) = (e23))) -> ((op2 (e23) (e22)) = (e20)) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (op1 (e10) (e13))) = (e11))) -> (~((e12) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e10)) = (op1 (e10) (e13))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e11) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((e10) = (e13))) -> (~((h1 (op1 (e13) (e13))) = (op2 (h1 (e13)) (h1 (e13))))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((e11) = (e12))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 83.92/84.04 do 0 intro. intros zenon_H587 zenon_Hb8 zenon_Hba zenon_H118 zenon_H78 zenon_H112 zenon_H13e zenon_Hd6 zenon_H11b zenon_H511 zenon_H7a zenon_H21e zenon_H121 zenon_H61 zenon_H220 zenon_H16d zenon_H1ba zenon_H1f4 zenon_H24d zenon_H25a zenon_H252 zenon_H253 zenon_H229 zenon_H1b6 zenon_H18e zenon_H1ad zenon_H1a9 zenon_H3f zenon_H1e4 zenon_H25d zenon_H1b9 zenon_H1a0 zenon_H1c9 zenon_H1dc zenon_H1d4 zenon_H187 zenon_H1a5 zenon_H1cf zenon_H1e8 zenon_H176 zenon_H1c8 zenon_H256 zenon_H50 zenon_H45 zenon_H56 zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H19a zenon_H1c2 zenon_H1b0 zenon_H1d8 zenon_H3f7 zenon_H1ee zenon_H236 zenon_H200 zenon_H6f6 zenon_H5c zenon_H5d zenon_H1f5 zenon_H2e zenon_H1f3 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H587); [ zenon_intro zenon_H159 | zenon_intro zenon_H588 ].
% 83.92/84.04 apply (zenon_L140_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H588); [ zenon_intro zenon_H510 | zenon_intro zenon_H589 ].
% 83.92/84.04 apply (zenon_L601_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H589); [ zenon_intro zenon_H582 | zenon_intro zenon_H4ff ].
% 83.92/84.04 apply (zenon_L1024_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ].
% 83.92/84.04 apply (zenon_L11_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ].
% 83.92/84.04 apply (zenon_L20_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ].
% 83.92/84.04 apply (zenon_L22_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ].
% 83.92/84.04 apply (zenon_L11_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ].
% 83.92/84.04 apply (zenon_L164_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ].
% 83.92/84.04 apply (zenon_L1091_); trivial.
% 83.92/84.04 apply (zenon_L138_); trivial.
% 83.92/84.04 (* end of lemma zenon_L1096_ *)
% 83.92/84.04 assert (zenon_L1097_ : (((op1 (e13) (e10)) = (op1 (e10) (e13)))/\((~((op1 (e10) (op1 (e10) (e13))) = (e10)))/\((~((op1 (e11) (op1 (e10) (e13))) = (e11)))/\((~((op1 (e12) (op1 (e10) (e13))) = (e12)))/\(~((op1 (e13) (op1 (e10) (e13))) = (e13))))))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((e21) = (e23))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((e20) = (e23))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((e12) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e11) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((e10) = (e13))) -> (~((h1 (op1 (e13) (e13))) = (op2 (h1 (e13)) (h1 (e13))))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((e11) = (e12))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((e20) = (e21))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.92/84.04 do 0 intro. intros zenon_H38b zenon_H78 zenon_H82 zenon_H7c zenon_H94 zenon_H8e zenon_H587 zenon_Hba zenon_H118 zenon_H112 zenon_H13e zenon_Hd6 zenon_H11b zenon_H511 zenon_H21e zenon_H61 zenon_H220 zenon_H16d zenon_H1ba zenon_H1f4 zenon_H25a zenon_H252 zenon_H229 zenon_H1b6 zenon_H18e zenon_H1ad zenon_H1a9 zenon_H3f zenon_H1e4 zenon_H25d zenon_H1b9 zenon_H1a0 zenon_H1c9 zenon_H1dc zenon_H1d4 zenon_H187 zenon_H1a5 zenon_H1cf zenon_H1e8 zenon_H176 zenon_H1c8 zenon_H256 zenon_H50 zenon_H45 zenon_H56 zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H19a zenon_H1c2 zenon_H1b0 zenon_H1d8 zenon_H3f7 zenon_H1ee zenon_H236 zenon_H200 zenon_H6f6 zenon_H5c zenon_H1f5 zenon_H2e zenon_H1f3 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25 zenon_H14b zenon_Hc9 zenon_Hb2 zenon_Had zenon_H134 zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H38b). zenon_intro zenon_H253. zenon_intro zenon_H38c.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H38c). zenon_intro zenon_H3d1. zenon_intro zenon_H3d0.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H3d0). zenon_intro zenon_H24d. zenon_intro zenon_H3d2.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ].
% 83.92/84.04 apply (zenon_L43_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ].
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H10b | zenon_intro zenon_H137 ].
% 83.92/84.04 apply (zenon_L143_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H11e | zenon_intro zenon_H138 ].
% 83.92/84.04 apply (zenon_L81_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H121 | zenon_intro zenon_H95 ].
% 83.92/84.04 apply (zenon_L1096_); trivial.
% 83.92/84.04 apply (zenon_L36_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ].
% 83.92/84.04 apply (zenon_L46_); trivial.
% 83.92/84.04 apply (zenon_L31_); trivial.
% 83.92/84.04 (* end of lemma zenon_L1097_ *)
% 83.92/84.04 assert (zenon_L1098_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e20) (e21)) = (e23)) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((e21) = (e23))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((e20) = (e23))) -> ((op2 (e23) (e22)) = (e20)) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((e10) = (e12))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e10) (e11)) = (op1 (e11) (e10))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e11) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((e10) = (e13))) -> (~((h1 (op1 (e13) (e13))) = (op2 (h1 (e13)) (h1 (e13))))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((e11) = (e12))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 83.92/84.04 do 0 intro. intros zenon_H587 zenon_Hb8 zenon_Hba zenon_H118 zenon_H78 zenon_H112 zenon_H13e zenon_Hd6 zenon_H11b zenon_H511 zenon_H7a zenon_H21e zenon_H121 zenon_H61 zenon_H220 zenon_H3f zenon_H1c8 zenon_H176 zenon_H260 zenon_H230 zenon_H256 zenon_H50 zenon_H45 zenon_H56 zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H19a zenon_H1c2 zenon_H1b0 zenon_H1d8 zenon_H3f7 zenon_H1ee zenon_H236 zenon_H200 zenon_H6f6 zenon_H5c zenon_H5d zenon_H1f5 zenon_H2e zenon_H1f3 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H587); [ zenon_intro zenon_H159 | zenon_intro zenon_H588 ].
% 83.92/84.04 apply (zenon_L140_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H588); [ zenon_intro zenon_H510 | zenon_intro zenon_H589 ].
% 83.92/84.04 apply (zenon_L601_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H589); [ zenon_intro zenon_H582 | zenon_intro zenon_H4ff ].
% 83.92/84.04 apply (zenon_L1024_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ].
% 83.92/84.04 apply (zenon_L11_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ].
% 83.92/84.04 apply (zenon_L20_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ].
% 83.92/84.04 apply (zenon_L22_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ].
% 83.92/84.04 apply (zenon_L11_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ].
% 83.92/84.04 apply (zenon_L167_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ].
% 83.92/84.04 apply (zenon_L1091_); trivial.
% 83.92/84.04 apply (zenon_L138_); trivial.
% 83.92/84.04 (* end of lemma zenon_L1098_ *)
% 83.92/84.04 assert (zenon_L1099_ : (((op1 (e10) (e11)) = (op1 (e11) (e10)))/\((~((op1 (e10) (op1 (e11) (e10))) = (e10)))/\((~((op1 (e11) (op1 (e11) (e10))) = (e11)))/\((~((op1 (e12) (op1 (e11) (e10))) = (e12)))/\(~((op1 (e13) (op1 (e11) (e10))) = (e13))))))) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((e21) = (e23))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((e20) = (e23))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((e10) = (e12))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e11) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((e10) = (e13))) -> (~((h1 (op1 (e13) (e13))) = (op2 (h1 (e13)) (h1 (e13))))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((e11) = (e12))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((e20) = (e21))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.92/84.04 do 0 intro. intros zenon_H38e zenon_H78 zenon_H82 zenon_H7c zenon_H94 zenon_H8e zenon_H587 zenon_Hba zenon_H118 zenon_H112 zenon_H13e zenon_Hd6 zenon_H11b zenon_H511 zenon_H21e zenon_H61 zenon_H220 zenon_H3f zenon_H1c8 zenon_H176 zenon_H230 zenon_H256 zenon_H50 zenon_H45 zenon_H56 zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H19a zenon_H1c2 zenon_H1b0 zenon_H1d8 zenon_H3f7 zenon_H1ee zenon_H236 zenon_H200 zenon_H6f6 zenon_H5c zenon_H1f5 zenon_H2e zenon_H1f3 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25 zenon_H14b zenon_Hc9 zenon_Hb2 zenon_Had zenon_H134 zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_H260. zenon_intro zenon_H38f.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ].
% 83.92/84.04 apply (zenon_L43_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ].
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H10b | zenon_intro zenon_H137 ].
% 83.92/84.04 apply (zenon_L143_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H11e | zenon_intro zenon_H138 ].
% 83.92/84.04 apply (zenon_L81_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H121 | zenon_intro zenon_H95 ].
% 83.92/84.04 apply (zenon_L1098_); trivial.
% 83.92/84.04 apply (zenon_L36_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ].
% 83.92/84.04 apply (zenon_L46_); trivial.
% 83.92/84.04 apply (zenon_L31_); trivial.
% 83.92/84.04 (* end of lemma zenon_L1099_ *)
% 83.92/84.04 assert (zenon_L1100_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e21) = (e23))) -> ((op2 (e23) (e20)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((e20) = (e23))) -> ((op2 (e23) (e22)) = (e20)) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (op1 (e11) (e11))) = (e11))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e11) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((e10) = (e13))) -> (~((h1 (op1 (e13) (e13))) = (op2 (h1 (e13)) (h1 (e13))))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((e11) = (e12))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 83.92/84.04 do 0 intro. intros zenon_H587 zenon_Hd6 zenon_H10c zenon_H511 zenon_H7a zenon_H21e zenon_H121 zenon_H61 zenon_H220 zenon_H3f zenon_H1a9 zenon_H1ad zenon_H18e zenon_H1b6 zenon_H16d zenon_H1ba zenon_H1b9 zenon_H1f4 zenon_H266 zenon_H1a0 zenon_H1c9 zenon_H1dc zenon_H1d4 zenon_H187 zenon_H1a5 zenon_H1cf zenon_H1e8 zenon_H176 zenon_H1c8 zenon_H256 zenon_H50 zenon_H45 zenon_H56 zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H19a zenon_H1c2 zenon_H1b0 zenon_H1d8 zenon_H3f7 zenon_H1ee zenon_H236 zenon_H200 zenon_H6f6 zenon_H5c zenon_H5d zenon_H1f5 zenon_H2e zenon_H1f3 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H587); [ zenon_intro zenon_H159 | zenon_intro zenon_H588 ].
% 83.92/84.04 apply (zenon_L88_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H588); [ zenon_intro zenon_H510 | zenon_intro zenon_H589 ].
% 83.92/84.04 apply (zenon_L601_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H589); [ zenon_intro zenon_H582 | zenon_intro zenon_H4ff ].
% 83.92/84.04 apply (zenon_L1024_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3e | zenon_intro zenon_H65 ].
% 83.92/84.04 apply (zenon_L11_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H43 | zenon_intro zenon_H66 ].
% 83.92/84.04 apply (zenon_L20_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H59 | zenon_intro zenon_H42 ].
% 83.92/84.04 apply (zenon_L22_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H3e | zenon_intro zenon_H221 ].
% 83.92/84.04 apply (zenon_L11_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H161 | zenon_intro zenon_H222 ].
% 83.92/84.04 apply (zenon_L171_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1ff | zenon_intro zenon_H194 ].
% 83.92/84.04 apply (zenon_L1091_); trivial.
% 83.92/84.04 apply (zenon_L138_); trivial.
% 83.92/84.04 (* end of lemma zenon_L1100_ *)
% 83.92/84.04 assert (zenon_L1101_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e21) = (e22))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> ((op2 (e22) (e20)) = (e20)) -> ((e22) = (op2 (e20) (e20))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e21) = (e23))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((e20) = (e23))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (op1 (e11) (e11))) = (e11))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (op1 (e10) (e11)) (e11)) = (e10))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e11) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((e10) = (e13))) -> (~((h1 (op1 (e13) (e13))) = (op2 (h1 (e13)) (h1 (e13))))) -> ((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((e11) = (e12))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (op1 (e10) (e11)) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e10) (e10))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e13) = (op1 (e10) (op1 (e10) (op1 (e10) (e10))))) -> ((e11) = (op1 (e10) (op1 (e10) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op2 (op2 (e20) (e21)) (e21)) = (e20))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((op2 (op2 (e20) (e21)) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((e20) = (e21))) -> (((op2 (e23) (e20)) = (e21))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e22)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((e23) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) -> ((e21) = (op2 (e20) (op2 (e20) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False).
% 83.92/84.04 do 0 intro. intros zenon_H15b zenon_Ha8 zenon_H15c zenon_H21d zenon_H78 zenon_H82 zenon_H7c zenon_H94 zenon_H8e zenon_H587 zenon_Hd6 zenon_H511 zenon_H21e zenon_H61 zenon_H220 zenon_H3f zenon_H1a9 zenon_H1ad zenon_H18e zenon_H1b6 zenon_H16d zenon_H1ba zenon_H1b9 zenon_H1f4 zenon_H266 zenon_H1a0 zenon_H1c9 zenon_H1dc zenon_H1d4 zenon_H187 zenon_H1a5 zenon_H1cf zenon_H1e8 zenon_H176 zenon_H1c8 zenon_H256 zenon_H50 zenon_H45 zenon_H56 zenon_H49 zenon_H3a zenon_H53 zenon_H4d zenon_H19a zenon_H1c2 zenon_H1b0 zenon_H1d8 zenon_H3f7 zenon_H1ee zenon_H236 zenon_H200 zenon_H6f6 zenon_H5c zenon_H1f5 zenon_H2e zenon_H1f3 zenon_H173 zenon_H16 zenon_H16b zenon_H20a zenon_H2c zenon_H204 zenon_H1bf zenon_H163 zenon_H20d zenon_H1e zenon_H17 zenon_H14 zenon_H25 zenon_H14b zenon_Hc9 zenon_Hb2 zenon_Hba zenon_H118 zenon_H112 zenon_H13e zenon_Had zenon_H11b zenon_H134 zenon_Hc3 zenon_H5d zenon_H7a zenon_H8a.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H15d ].
% 83.92/84.04 apply (zenon_L41_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hac | zenon_intro zenon_H15e ].
% 83.92/84.04 apply (zenon_L151_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H10c ].
% 83.92/84.04 apply (zenon_L152_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ].
% 83.92/84.04 apply (zenon_L43_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ].
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H10b | zenon_intro zenon_H137 ].
% 83.92/84.04 apply (zenon_L143_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H11e | zenon_intro zenon_H138 ].
% 83.92/84.04 apply (zenon_L81_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H121 | zenon_intro zenon_H95 ].
% 83.92/84.04 apply (zenon_L1100_); trivial.
% 83.92/84.04 apply (zenon_L36_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ].
% 83.92/84.04 apply (zenon_L46_); trivial.
% 83.92/84.04 apply (zenon_L31_); trivial.
% 83.92/84.04 (* end of lemma zenon_L1101_ *)
% 83.92/84.04 apply NNPP. intro zenon_G.
% 83.92/84.04 apply (zenon_and_s _ _ ax1). zenon_intro zenon_H702. zenon_intro zenon_H701.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H701). zenon_intro zenon_H704. zenon_intro zenon_H703.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H703). zenon_intro zenon_H706. zenon_intro zenon_H705.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H705). zenon_intro zenon_H4d. zenon_intro zenon_H707.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H707). zenon_intro zenon_H709. zenon_intro zenon_H708.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H708). zenon_intro zenon_H70b. zenon_intro zenon_H70a.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H70a). zenon_intro zenon_H1ad. zenon_intro zenon_H70c.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H70c). zenon_intro zenon_H340. zenon_intro zenon_H70d.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H70d). zenon_intro zenon_H35d. zenon_intro zenon_H70e.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H70e). zenon_intro zenon_H3a8. zenon_intro zenon_H70f.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H70f). zenon_intro zenon_H1dc. zenon_intro zenon_H710.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H710). zenon_intro zenon_H3e3. zenon_intro zenon_H711.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H711). zenon_intro zenon_H413. zenon_intro zenon_H712.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H712). zenon_intro zenon_H2e7. zenon_intro zenon_H713.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H713). zenon_intro zenon_H43e. zenon_intro zenon_H2e3.
% 83.92/84.04 apply (zenon_and_s _ _ ax2). zenon_intro zenon_H61. zenon_intro zenon_H714.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H714). zenon_intro zenon_H220. zenon_intro zenon_H715.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H715). zenon_intro zenon_H249. zenon_intro zenon_H716.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H716). zenon_intro zenon_H1f3. zenon_intro zenon_H717.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H717). zenon_intro zenon_H719. zenon_intro zenon_H718.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H718). zenon_intro zenon_H71b. zenon_intro zenon_H71a.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H71a). zenon_intro zenon_H173. zenon_intro zenon_H71c.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H71c). zenon_intro zenon_H1f5. zenon_intro zenon_H71d.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H71d). zenon_intro zenon_H276. zenon_intro zenon_H71e.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H71e). zenon_intro zenon_H1c8. zenon_intro zenon_H71f.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H71f). zenon_intro zenon_H1f4. zenon_intro zenon_H720.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H720). zenon_intro zenon_H1c9. zenon_intro zenon_H721.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H721). zenon_intro zenon_H1e8. zenon_intro zenon_H722.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H722). zenon_intro zenon_H1b9. zenon_intro zenon_H723.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H723). zenon_intro zenon_H25d. zenon_intro zenon_H724.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H724). zenon_intro zenon_H23d. zenon_intro zenon_H725.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H725). zenon_intro zenon_H357. zenon_intro zenon_H726.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H726). zenon_intro zenon_H256. zenon_intro zenon_H727.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H727). zenon_intro zenon_H1ba. zenon_intro zenon_H728.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H728). zenon_intro zenon_H432. zenon_intro zenon_H729.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H729). zenon_intro zenon_H1b6. zenon_intro zenon_H72a.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H72a). zenon_intro zenon_H330. zenon_intro zenon_H72b.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H72b). zenon_intro zenon_H365. zenon_intro zenon_H72c.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H72c). zenon_intro zenon_H373. zenon_intro zenon_H72d.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H72d). zenon_intro zenon_H1b0. zenon_intro zenon_H72e.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H72e). zenon_intro zenon_H56. zenon_intro zenon_H72f.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H72f). zenon_intro zenon_H20d. zenon_intro zenon_H730.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H730). zenon_intro zenon_H3fa. zenon_intro zenon_H731.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H731). zenon_intro zenon_H733. zenon_intro zenon_H732.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H732). zenon_intro zenon_H345. zenon_intro zenon_H734.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H734). zenon_intro zenon_H3f7. zenon_intro zenon_H3f0.
% 83.92/84.04 apply (zenon_and_s _ _ ax3). zenon_intro zenon_H736. zenon_intro zenon_H735.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H735). zenon_intro zenon_H738. zenon_intro zenon_H737.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H737). zenon_intro zenon_H73a. zenon_intro zenon_H739.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H739). zenon_intro zenon_H8e. zenon_intro zenon_H73b.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H73b). zenon_intro zenon_H73d. zenon_intro zenon_H73c.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H73c). zenon_intro zenon_H73f. zenon_intro zenon_H73e.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H73e). zenon_intro zenon_H12c. zenon_intro zenon_H740.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H740). zenon_intro zenon_H57a. zenon_intro zenon_H741.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H741). zenon_intro zenon_H5a1. zenon_intro zenon_H742.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H742). zenon_intro zenon_H744. zenon_intro zenon_H743.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H743). zenon_intro zenon_H4d2. zenon_intro zenon_H745.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H745). zenon_intro zenon_H628. zenon_intro zenon_H746.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H746). zenon_intro zenon_H640. zenon_intro zenon_H747.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H747). zenon_intro zenon_H515. zenon_intro zenon_H748.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H748). zenon_intro zenon_H584. zenon_intro zenon_H505.
% 83.92/84.04 apply (zenon_and_s _ _ ax4). zenon_intro zenon_H74a. zenon_intro zenon_H749.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H749). zenon_intro zenon_H48d. zenon_intro zenon_H74b.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H74b). zenon_intro zenon_H45f. zenon_intro zenon_H74c.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H74c). zenon_intro zenon_H15b. zenon_intro zenon_H74d.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H74d). zenon_intro zenon_H74f. zenon_intro zenon_H74e.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H74e). zenon_intro zenon_H751. zenon_intro zenon_H750.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H750). zenon_intro zenon_Hc9. zenon_intro zenon_H752.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H752). zenon_intro zenon_H15c. zenon_intro zenon_H753.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H753). zenon_intro zenon_H48e. zenon_intro zenon_H754.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H754). zenon_intro zenon_H14f. zenon_intro zenon_H755.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H755). zenon_intro zenon_H140. zenon_intro zenon_H756.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H756). zenon_intro zenon_H141. zenon_intro zenon_H757.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H757). zenon_intro zenon_H142. zenon_intro zenon_H758.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H758). zenon_intro zenon_H133. zenon_intro zenon_H759.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H759). zenon_intro zenon_H482. zenon_intro zenon_H75a.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H75a). zenon_intro zenon_H75c. zenon_intro zenon_H75b.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H75b). zenon_intro zenon_H59e. zenon_intro zenon_H75d.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H75d). zenon_intro zenon_H75f. zenon_intro zenon_H75e.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H75e). zenon_intro zenon_H102. zenon_intro zenon_H760.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H760). zenon_intro zenon_H762. zenon_intro zenon_H761.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H761). zenon_intro zenon_Hff. zenon_intro zenon_H763.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H763). zenon_intro zenon_H563. zenon_intro zenon_H764.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H764). zenon_intro zenon_H5a9. zenon_intro zenon_H765.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H765). zenon_intro zenon_H605. zenon_intro zenon_H766.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H766). zenon_intro zenon_H134. zenon_intro zenon_H767.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H767). zenon_intro zenon_Hce. zenon_intro zenon_H768.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H768). zenon_intro zenon_H11b. zenon_intro zenon_H769.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H769). zenon_intro zenon_H657. zenon_intro zenon_H76a.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H76a). zenon_intro zenon_H518. zenon_intro zenon_H76b.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H76b). zenon_intro zenon_H57f. zenon_intro zenon_H76c.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H76c). zenon_intro zenon_H587. zenon_intro zenon_H51e.
% 83.92/84.04 apply (zenon_and_s _ _ ax5). zenon_intro zenon_H1cf. zenon_intro zenon_H76d.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H76d). zenon_intro zenon_H18e. zenon_intro zenon_H76e.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H76e). zenon_intro zenon_H2fc. zenon_intro zenon_H76f.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H76f). zenon_intro zenon_H3b3. zenon_intro zenon_H770.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H770). zenon_intro zenon_H772. zenon_intro zenon_H771.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H771). zenon_intro zenon_H16d. zenon_intro zenon_H773.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H773). zenon_intro zenon_H229. zenon_intro zenon_H774.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H774). zenon_intro zenon_H230. zenon_intro zenon_H775.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H775). zenon_intro zenon_H236. zenon_intro zenon_H776.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H776). zenon_intro zenon_H778. zenon_intro zenon_H777.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H777). zenon_intro zenon_H316. zenon_intro zenon_H779.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H779). zenon_intro zenon_H282. zenon_intro zenon_H77a.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H77a). zenon_intro zenon_H1a0. zenon_intro zenon_H77b.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H77b). zenon_intro zenon_H187. zenon_intro zenon_H77c.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H77c). zenon_intro zenon_H204. zenon_intro zenon_H77d.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H77d). zenon_intro zenon_H1a5. zenon_intro zenon_H77e.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H77e). zenon_intro zenon_H19a. zenon_intro zenon_H77f.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H77f). zenon_intro zenon_H360. zenon_intro zenon_H780.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H780). zenon_intro zenon_H45. zenon_intro zenon_H781.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H781). zenon_intro zenon_H50. zenon_intro zenon_H782.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H782). zenon_intro zenon_H53. zenon_intro zenon_H783.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H783). zenon_intro zenon_H1e4. zenon_intro zenon_H784.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H784). zenon_intro zenon_H343. zenon_intro zenon_H785.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H785). zenon_intro zenon_H426. zenon_intro zenon_H786.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H786). zenon_intro zenon_H16. zenon_intro zenon_H787.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H787). zenon_intro zenon_H31e. zenon_intro zenon_H788.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H788). zenon_intro zenon_H49. zenon_intro zenon_H789.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H789). zenon_intro zenon_H1e. zenon_intro zenon_H78a.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H78a). zenon_intro zenon_H25. zenon_intro zenon_H78b.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H78b). zenon_intro zenon_H3a. zenon_intro zenon_H78c.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H78c). zenon_intro zenon_H176. zenon_intro zenon_H78d.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H78d). zenon_intro zenon_H1a9. zenon_intro zenon_H78e.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H78e). zenon_intro zenon_H2f3. zenon_intro zenon_H78f.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H78f). zenon_intro zenon_H791. zenon_intro zenon_H790.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H790). zenon_intro zenon_H793. zenon_intro zenon_H792.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H792). zenon_intro zenon_H3b1. zenon_intro zenon_H794.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H794). zenon_intro zenon_H2cd. zenon_intro zenon_H795.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H795). zenon_intro zenon_H1d8. zenon_intro zenon_H796.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H796). zenon_intro zenon_H427. zenon_intro zenon_H797.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H797). zenon_intro zenon_H1d4. zenon_intro zenon_H798.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H798). zenon_intro zenon_H41f. zenon_intro zenon_H799.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H799). zenon_intro zenon_H79b. zenon_intro zenon_H79a.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H79a). zenon_intro zenon_H1bf. zenon_intro zenon_H79c.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H79c). zenon_intro zenon_H252. zenon_intro zenon_H79d.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H79d). zenon_intro zenon_H20a. zenon_intro zenon_H79e.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H79e). zenon_intro zenon_H32b. zenon_intro zenon_H79f.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H79f). zenon_intro zenon_H2d9. zenon_intro zenon_H3ee.
% 83.92/84.04 apply (zenon_and_s _ _ ax6). zenon_intro zenon_Hdc. zenon_intro zenon_H7a0.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H7a0). zenon_intro zenon_Hef. zenon_intro zenon_H7a1.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H7a1). zenon_intro zenon_H509. zenon_intro zenon_H7a2.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H7a2). zenon_intro zenon_H554. zenon_intro zenon_H7a3.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H7a3). zenon_intro zenon_H7a5. zenon_intro zenon_H7a4.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H7a4). zenon_intro zenon_Hbc. zenon_intro zenon_H7a6.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H7a6). zenon_intro zenon_H472. zenon_intro zenon_H7a7.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H7a7). zenon_intro zenon_H466. zenon_intro zenon_H7a8.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H7a8). zenon_intro zenon_H511. zenon_intro zenon_H7a9.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H7a9). zenon_intro zenon_H7ab. zenon_intro zenon_H7aa.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H7aa). zenon_intro zenon_H54b. zenon_intro zenon_H7ac.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H7ac). zenon_intro zenon_H49b. zenon_intro zenon_H7ad.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H7ad). zenon_intro zenon_H124. zenon_intro zenon_H7ae.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H7ae). zenon_intro zenon_He8. zenon_intro zenon_H7af.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H7af). zenon_intro zenon_H112. zenon_intro zenon_H7b0.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H7b0). zenon_intro zenon_Hf7. zenon_intro zenon_H7b1.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H7b1). zenon_intro zenon_H11f. zenon_intro zenon_H7b2.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H7b2). zenon_intro zenon_H59b. zenon_intro zenon_H7b3.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H7b3). zenon_intro zenon_H73. zenon_intro zenon_H7b4.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H7b4). zenon_intro zenon_H91. zenon_intro zenon_H7b5.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H7b5). zenon_intro zenon_H94. zenon_intro zenon_H7b6.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H7b6). zenon_intro zenon_H12f. zenon_intro zenon_H7b7.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H7b7). zenon_intro zenon_H57e. zenon_intro zenon_H7b8.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H7b8). zenon_intro zenon_H653. zenon_intro zenon_H7b9.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H7b9). zenon_intro zenon_Hb2. zenon_intro zenon_H7ba.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H7ba). zenon_intro zenon_H55b. zenon_intro zenon_H7bb.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H7bb). zenon_intro zenon_H82. zenon_intro zenon_H7bc.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H7bc). zenon_intro zenon_Hc3. zenon_intro zenon_H7bd.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H7bd). zenon_intro zenon_H8a. zenon_intro zenon_H7be.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H7be). zenon_intro zenon_H7c. zenon_intro zenon_H7bf.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H7bf). zenon_intro zenon_Hd1. zenon_intro zenon_H7c0.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H7c0). zenon_intro zenon_H129. zenon_intro zenon_H7c1.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H7c1). zenon_intro zenon_H529. zenon_intro zenon_H7c2.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H7c2). zenon_intro zenon_H7c4. zenon_intro zenon_H7c3.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H7c3). zenon_intro zenon_H7c6. zenon_intro zenon_H7c5.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H7c5). zenon_intro zenon_H633. zenon_intro zenon_H7c7.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H7c7). zenon_intro zenon_H48b. zenon_intro zenon_H7c8.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H7c8). zenon_intro zenon_H4cb. zenon_intro zenon_H7c9.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H7c9). zenon_intro zenon_H51b. zenon_intro zenon_H7ca.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H7ca). zenon_intro zenon_H7cc. zenon_intro zenon_H7cb.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H7cb). zenon_intro zenon_H579. zenon_intro zenon_H7cd.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H7cd). zenon_intro zenon_H671. zenon_intro zenon_H7ce.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H7ce). zenon_intro zenon_H13e. zenon_intro zenon_H7cf.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H7cf). zenon_intro zenon_H462. zenon_intro zenon_H7d0.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H7d0). zenon_intro zenon_H118. zenon_intro zenon_H7d1.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H7d1). zenon_intro zenon_H50f. zenon_intro zenon_H7d2.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H7d2). zenon_intro zenon_H4fb. zenon_intro zenon_H7d3.
% 83.92/84.04 apply (zenon_and_s _ _ ax7). zenon_intro zenon_H163. zenon_intro zenon_H7d4.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H7d4). zenon_intro zenon_H3f. zenon_intro zenon_H7d5.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H7d5). zenon_intro zenon_H200. zenon_intro zenon_H7d6.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H7d6). zenon_intro zenon_H2e. zenon_intro zenon_H7d7.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H7d7). zenon_intro zenon_H1ee. zenon_intro zenon_H25a.
% 83.92/84.04 apply (zenon_and_s _ _ ax8). zenon_intro zenon_Had. zenon_intro zenon_H7d8.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H7d8). zenon_intro zenon_Ha3. zenon_intro zenon_H7d9.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H7d9). zenon_intro zenon_H21e. zenon_intro zenon_H7da.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H7da). zenon_intro zenon_Ha8. zenon_intro zenon_H7db.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H7db). zenon_intro zenon_Hd6. zenon_intro zenon_H47f.
% 83.92/84.04 apply (zenon_and_s _ _ ax10). zenon_intro zenon_H7dc. zenon_intro zenon_H37d.
% 83.92/84.04 apply (zenon_and_s _ _ ax11). zenon_intro zenon_H7dd. zenon_intro zenon_H5b3.
% 83.92/84.04 apply (zenon_and_s _ _ ax12). zenon_intro zenon_H14. zenon_intro zenon_H7de.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H7de). zenon_intro zenon_H2c. zenon_intro zenon_H17.
% 83.92/84.04 apply (zenon_and_s _ _ ax13). zenon_intro zenon_H7a. zenon_intro zenon_H7df.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H7df). zenon_intro zenon_H78. zenon_intro zenon_H5d.
% 83.92/84.04 apply (zenon_and_s _ _ ax14). zenon_intro zenon_H64. zenon_intro zenon_H7e0.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H7e0). zenon_intro zenon_H1fd. zenon_intro zenon_H7e1.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H7e1). zenon_intro zenon_H68b. zenon_intro zenon_H5c.
% 83.92/84.04 apply (zenon_notor_s _ _ zenon_G). zenon_intro zenon_H7e3. zenon_intro zenon_H7e2.
% 83.92/84.04 apply (zenon_notand_s _ _ zenon_H7e3); [ zenon_intro zenon_H7e5 | zenon_intro zenon_H7e4 ].
% 83.92/84.04 cut (((h1 (e12)) = (op2 (e20) (e20))) = ((h1 (op1 (e10) (e10))) = (op2 (h1 (e10)) (h1 (e10))))).
% 83.92/84.04 intro zenon_D_pnotp.
% 83.92/84.04 apply zenon_H7e5.
% 83.92/84.04 rewrite <- zenon_D_pnotp.
% 83.92/84.04 exact zenon_H68b.
% 83.92/84.04 cut (((op2 (e20) (e20)) = (op2 (h1 (e10)) (h1 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H7e6].
% 83.92/84.04 cut (((h1 (e12)) = (h1 (op1 (e10) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H7e7].
% 83.92/84.04 congruence.
% 83.92/84.04 elim (classic ((h1 (op1 (e10) (e10))) = (h1 (op1 (e10) (e10))))); [ zenon_intro zenon_H7e8 | zenon_intro zenon_H7e9 ].
% 83.92/84.04 cut (((h1 (op1 (e10) (e10))) = (h1 (op1 (e10) (e10)))) = ((h1 (e12)) = (h1 (op1 (e10) (e10))))).
% 83.92/84.04 intro zenon_D_pnotp.
% 83.92/84.04 apply zenon_H7e7.
% 83.92/84.04 rewrite <- zenon_D_pnotp.
% 83.92/84.04 exact zenon_H7e8.
% 83.92/84.04 cut (((h1 (op1 (e10) (e10))) = (h1 (op1 (e10) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H7e9].
% 83.92/84.04 cut (((h1 (op1 (e10) (e10))) = (h1 (e12)))); [idtac | apply NNPP; zenon_intro zenon_H7ea].
% 83.92/84.04 congruence.
% 83.92/84.04 cut (((op1 (e10) (e10)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H33].
% 83.92/84.04 congruence.
% 83.92/84.04 apply zenon_H33. apply sym_equal. exact zenon_H2c.
% 83.92/84.04 apply zenon_H7e9. apply refl_equal.
% 83.92/84.04 apply zenon_H7e9. apply refl_equal.
% 83.92/84.04 cut (((e20) = (h1 (e10)))); [idtac | apply NNPP; zenon_intro zenon_H7eb].
% 83.92/84.04 cut (((e20) = (h1 (e10)))); [idtac | apply NNPP; zenon_intro zenon_H7eb].
% 83.92/84.04 congruence.
% 83.92/84.04 apply zenon_H7eb. apply sym_equal. exact zenon_H64.
% 83.92/84.04 apply zenon_H7eb. apply sym_equal. exact zenon_H64.
% 83.92/84.04 apply (zenon_notand_s _ _ zenon_H7e4); [ zenon_intro zenon_H7ed | zenon_intro zenon_H7ec ].
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H18 | zenon_intro zenon_H174 ].
% 83.92/84.04 apply (zenon_L3_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H169 | zenon_intro zenon_H175 ].
% 83.92/84.04 cut (((h1 (e13)) = (op2 (e20) (op2 (e20) (op2 (e20) (e20))))) = ((h1 (op1 (e10) (e11))) = (op2 (h1 (e10)) (h1 (e11))))).
% 83.92/84.04 intro zenon_D_pnotp.
% 83.92/84.04 apply zenon_H7ed.
% 83.92/84.04 rewrite <- zenon_D_pnotp.
% 83.92/84.04 exact zenon_H5c.
% 83.92/84.04 cut (((op2 (e20) (op2 (e20) (op2 (e20) (e20)))) = (op2 (h1 (e10)) (h1 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H7ee].
% 83.92/84.04 cut (((h1 (e13)) = (h1 (op1 (e10) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H7ef].
% 83.92/84.04 congruence.
% 83.92/84.04 elim (classic ((h1 (op1 (e10) (e11))) = (h1 (op1 (e10) (e11))))); [ zenon_intro zenon_H7f0 | zenon_intro zenon_H7f1 ].
% 83.92/84.04 cut (((h1 (op1 (e10) (e11))) = (h1 (op1 (e10) (e11)))) = ((h1 (e13)) = (h1 (op1 (e10) (e11))))).
% 83.92/84.04 intro zenon_D_pnotp.
% 83.92/84.04 apply zenon_H7ef.
% 83.92/84.04 rewrite <- zenon_D_pnotp.
% 83.92/84.04 exact zenon_H7f0.
% 83.92/84.04 cut (((h1 (op1 (e10) (e11))) = (h1 (op1 (e10) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H7f1].
% 83.92/84.04 cut (((h1 (op1 (e10) (e11))) = (h1 (e13)))); [idtac | apply NNPP; zenon_intro zenon_H7f2].
% 83.92/84.04 congruence.
% 83.92/84.04 cut (((op1 (e10) (e11)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H1c7].
% 83.92/84.04 congruence.
% 83.92/84.04 exact (zenon_H1c7 zenon_H169).
% 83.92/84.04 apply zenon_H7f1. apply refl_equal.
% 83.92/84.04 apply zenon_H7f1. apply refl_equal.
% 83.92/84.04 cut (((op2 (e20) (op2 (e20) (e20))) = (h1 (e11)))); [idtac | apply NNPP; zenon_intro zenon_H7f3].
% 83.92/84.04 cut (((e20) = (h1 (e10)))); [idtac | apply NNPP; zenon_intro zenon_H7eb].
% 83.92/84.04 congruence.
% 83.92/84.04 apply zenon_H7eb. apply sym_equal. exact zenon_H64.
% 83.92/84.04 apply zenon_H7f3. apply sym_equal. exact zenon_H1fd.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H24 ].
% 83.92/84.04 apply (zenon_L4_); trivial.
% 83.92/84.04 apply (zenon_L5_); trivial.
% 83.92/84.04 apply (zenon_notand_s _ _ zenon_H7ec); [ zenon_intro zenon_H7f5 | zenon_intro zenon_H7f4 ].
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H2d | zenon_intro zenon_H24a ].
% 83.92/84.04 apply (zenon_L7_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H34 | zenon_intro zenon_H24b ].
% 83.92/84.04 apply (zenon_L9_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H244 | zenon_intro zenon_H39 ].
% 83.92/84.04 cut (((h1 (e11)) = (op2 (e20) (op2 (e20) (e20)))) = ((h1 (op1 (e10) (e12))) = (op2 (h1 (e10)) (h1 (e12))))).
% 83.92/84.04 intro zenon_D_pnotp.
% 83.92/84.04 apply zenon_H7f5.
% 83.92/84.04 rewrite <- zenon_D_pnotp.
% 83.92/84.04 exact zenon_H1fd.
% 83.92/84.04 cut (((op2 (e20) (op2 (e20) (e20))) = (op2 (h1 (e10)) (h1 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H7f6].
% 83.92/84.04 cut (((h1 (e11)) = (h1 (op1 (e10) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H7f7].
% 83.92/84.04 congruence.
% 83.92/84.04 elim (classic ((h1 (op1 (e10) (e12))) = (h1 (op1 (e10) (e12))))); [ zenon_intro zenon_H7f8 | zenon_intro zenon_H7f9 ].
% 83.92/84.04 cut (((h1 (op1 (e10) (e12))) = (h1 (op1 (e10) (e12)))) = ((h1 (e11)) = (h1 (op1 (e10) (e12))))).
% 83.92/84.04 intro zenon_D_pnotp.
% 83.92/84.04 apply zenon_H7f7.
% 83.92/84.04 rewrite <- zenon_D_pnotp.
% 83.92/84.04 exact zenon_H7f8.
% 83.92/84.04 cut (((h1 (op1 (e10) (e12))) = (h1 (op1 (e10) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H7f9].
% 83.92/84.04 cut (((h1 (op1 (e10) (e12))) = (h1 (e11)))); [idtac | apply NNPP; zenon_intro zenon_H7fa].
% 83.92/84.04 congruence.
% 83.92/84.04 cut (((op1 (e10) (e12)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H3b0].
% 83.92/84.04 congruence.
% 83.92/84.04 exact (zenon_H3b0 zenon_H244).
% 83.92/84.04 apply zenon_H7f9. apply refl_equal.
% 83.92/84.04 apply zenon_H7f9. apply refl_equal.
% 83.92/84.04 cut (((op2 (e20) (e20)) = (h1 (e12)))); [idtac | apply NNPP; zenon_intro zenon_H7fb].
% 83.92/84.04 cut (((e20) = (h1 (e10)))); [idtac | apply NNPP; zenon_intro zenon_H7eb].
% 83.92/84.04 congruence.
% 83.92/84.04 apply zenon_H7eb. apply sym_equal. exact zenon_H64.
% 83.92/84.04 apply zenon_H7fb. apply sym_equal. exact zenon_H68b.
% 83.92/84.04 apply (zenon_L10_); trivial.
% 83.92/84.04 apply (zenon_notand_s _ _ zenon_H7f4); [ zenon_intro zenon_H62 | zenon_intro zenon_H7fc ].
% 83.92/84.04 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H63 | zenon_intro zenon_Hcf ].
% 83.92/84.04 apply (zenon_L25_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H74 | zenon_intro zenon_Hd0 ].
% 83.92/84.04 apply (zenon_L32_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H92 | zenon_intro zenon_H95 ].
% 83.92/84.04 apply (zenon_L34_); trivial.
% 83.92/84.04 apply (zenon_L36_); trivial.
% 83.92/84.04 apply (zenon_notand_s _ _ zenon_H7fc); [ zenon_intro zenon_H210 | zenon_intro zenon_H7fd ].
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H7dd); [ zenon_intro zenon_H97 | zenon_intro zenon_H7fe ].
% 83.92/84.04 apply (zenon_L37_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H7fe); [ zenon_intro zenon_H800 | zenon_intro zenon_H7ff ].
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H800). zenon_intro zenon_H802. zenon_intro zenon_H801.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H801). zenon_intro zenon_Hba. zenon_intro zenon_H14b.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H5b3); [ zenon_intro zenon_H5b6 | zenon_intro zenon_H5b5 ].
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H5b6). zenon_intro zenon_Hb5. zenon_intro zenon_H5b7.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H5b7). zenon_intro zenon_H99. zenon_intro zenon_H5b8.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H5b8). zenon_intro zenon_H5ba. zenon_intro zenon_H5b9.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H5b9). zenon_intro zenon_H155. zenon_intro zenon_H5bb.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H7dc); [ zenon_intro zenon_H9c | zenon_intro zenon_H803 ].
% 83.92/84.04 apply (zenon_L38_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H803); [ zenon_intro zenon_H805 | zenon_intro zenon_H804 ].
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H805). zenon_intro zenon_H807. zenon_intro zenon_H806.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H806). zenon_intro zenon_H16b. zenon_intro zenon_H1c2.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H380 | zenon_intro zenon_H37f ].
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H1a. zenon_intro zenon_H381.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H9e. zenon_intro zenon_H382.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H384. zenon_intro zenon_H383.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H1e0. zenon_intro zenon_H385.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.04 apply (zenon_L40_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.04 apply (zenon_L89_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.04 apply (zenon_L141_); trivial.
% 83.92/84.04 apply (zenon_L143_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H23c | zenon_intro zenon_H386 ].
% 83.92/84.04 apply (zenon_L150_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H388 | zenon_intro zenon_H387 ].
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H388). zenon_intro zenon_H245. zenon_intro zenon_H389.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.04 apply (zenon_L40_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.04 apply (zenon_L89_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.04 apply (zenon_L155_); trivial.
% 83.92/84.04 apply (zenon_L143_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H38b | zenon_intro zenon_H38a ].
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H38b). zenon_intro zenon_H253. zenon_intro zenon_H38c.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H38c). zenon_intro zenon_H3d1. zenon_intro zenon_H3d0.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H3d0). zenon_intro zenon_H24d. zenon_intro zenon_H3d2.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.04 apply (zenon_L40_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.04 apply (zenon_L89_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.04 apply (zenon_L165_); trivial.
% 83.92/84.04 apply (zenon_L143_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H38e | zenon_intro zenon_H38d ].
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_H260. zenon_intro zenon_H38f.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.04 apply (zenon_L40_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.04 apply (zenon_L89_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.04 apply (zenon_L168_); trivial.
% 83.92/84.04 apply (zenon_L143_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H391 | zenon_intro zenon_H390 ].
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H22a. zenon_intro zenon_H392.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H394. zenon_intro zenon_H393.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H266. zenon_intro zenon_H395.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.04 apply (zenon_L40_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.04 apply (zenon_L89_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.04 apply (zenon_L172_); trivial.
% 83.92/84.04 apply (zenon_L143_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H275 | zenon_intro zenon_H396 ].
% 83.92/84.04 apply (zenon_L184_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H281 | zenon_intro zenon_H397 ].
% 83.92/84.04 apply (zenon_L189_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H294 | zenon_intro zenon_H398 ].
% 83.92/84.04 apply (zenon_L193_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H399 ].
% 83.92/84.04 apply (zenon_L198_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H39a ].
% 83.92/84.04 apply (zenon_L204_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H39b ].
% 83.92/84.04 apply (zenon_L206_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H39c ].
% 83.92/84.04 apply (zenon_L209_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H2ce | zenon_intro zenon_H39d ].
% 83.92/84.04 apply (zenon_L220_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2e6 ].
% 83.92/84.04 apply (zenon_L222_); trivial.
% 83.92/84.04 apply (zenon_L227_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H804); [ zenon_intro zenon_H2f2 | zenon_intro zenon_H808 ].
% 83.92/84.04 apply (zenon_L231_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H808); [ zenon_intro zenon_H2ff | zenon_intro zenon_H809 ].
% 83.92/84.04 apply (zenon_L239_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H809); [ zenon_intro zenon_H315 | zenon_intro zenon_H80a ].
% 83.92/84.04 apply (zenon_L248_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H80a); [ zenon_intro zenon_H319 | zenon_intro zenon_H80b ].
% 83.92/84.04 apply (zenon_L249_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H80b); [ zenon_intro zenon_H333 | zenon_intro zenon_H80c ].
% 83.92/84.04 apply (zenon_L258_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H80c); [ zenon_intro zenon_H344 | zenon_intro zenon_H80d ].
% 83.92/84.04 apply (zenon_L267_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H80d); [ zenon_intro zenon_H37c | zenon_intro zenon_H80e ].
% 83.92/84.04 apply (zenon_L316_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H80e); [ zenon_intro zenon_H3cd | zenon_intro zenon_H80f ].
% 83.92/84.04 apply (zenon_L395_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H80f); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H810 ].
% 83.92/84.04 apply (zenon_L396_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H810); [ zenon_intro zenon_H3ff | zenon_intro zenon_H811 ].
% 83.92/84.04 apply (zenon_L431_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H811); [ zenon_intro zenon_H416 | zenon_intro zenon_H812 ].
% 83.92/84.04 apply (zenon_L438_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H812); [ zenon_intro zenon_H431 | zenon_intro zenon_H813 ].
% 83.92/84.04 apply (zenon_L489_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H813); [ zenon_intro zenon_H44a | zenon_intro zenon_H44d ].
% 83.92/84.04 apply (zenon_L505_); trivial.
% 83.92/84.04 apply (zenon_L506_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H5b5); [ zenon_intro zenon_H456 | zenon_intro zenon_H5bc ].
% 83.92/84.04 apply (zenon_L509_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H5bc); [ zenon_intro zenon_H5be | zenon_intro zenon_H5bd ].
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H5be). zenon_intro zenon_H45b. zenon_intro zenon_H5bf.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H7dc); [ zenon_intro zenon_H9c | zenon_intro zenon_H803 ].
% 83.92/84.04 apply (zenon_L38_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H803); [ zenon_intro zenon_H805 | zenon_intro zenon_H804 ].
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H805). zenon_intro zenon_H807. zenon_intro zenon_H806.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H806). zenon_intro zenon_H16b. zenon_intro zenon_H1c2.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H380 | zenon_intro zenon_H37f ].
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H1a. zenon_intro zenon_H381.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H9e. zenon_intro zenon_H382.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H384. zenon_intro zenon_H383.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H1e0. zenon_intro zenon_H385.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.04 apply (zenon_L40_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.04 apply (zenon_L511_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.04 apply (zenon_L141_); trivial.
% 83.92/84.04 apply (zenon_L143_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H23c | zenon_intro zenon_H386 ].
% 83.92/84.04 apply (zenon_L150_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H388 | zenon_intro zenon_H387 ].
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H388). zenon_intro zenon_H245. zenon_intro zenon_H389.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.04 apply (zenon_L40_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.04 apply (zenon_L511_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.04 apply (zenon_L155_); trivial.
% 83.92/84.04 apply (zenon_L143_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H38b | zenon_intro zenon_H38a ].
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H38b). zenon_intro zenon_H253. zenon_intro zenon_H38c.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H38c). zenon_intro zenon_H3d1. zenon_intro zenon_H3d0.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H3d0). zenon_intro zenon_H24d. zenon_intro zenon_H3d2.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.04 apply (zenon_L40_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.04 apply (zenon_L511_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.04 apply (zenon_L165_); trivial.
% 83.92/84.04 apply (zenon_L143_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H38e | zenon_intro zenon_H38d ].
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_H260. zenon_intro zenon_H38f.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.04 apply (zenon_L40_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.04 apply (zenon_L511_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.04 apply (zenon_L168_); trivial.
% 83.92/84.04 apply (zenon_L143_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H391 | zenon_intro zenon_H390 ].
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H22a. zenon_intro zenon_H392.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H394. zenon_intro zenon_H393.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H266. zenon_intro zenon_H395.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.04 apply (zenon_L40_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.04 apply (zenon_L511_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.04 apply (zenon_L172_); trivial.
% 83.92/84.04 apply (zenon_L143_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H275 | zenon_intro zenon_H396 ].
% 83.92/84.04 apply (zenon_L184_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H281 | zenon_intro zenon_H397 ].
% 83.92/84.04 apply (zenon_L189_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H294 | zenon_intro zenon_H398 ].
% 83.92/84.04 apply (zenon_L193_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H399 ].
% 83.92/84.04 apply (zenon_L198_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H39a ].
% 83.92/84.04 apply (zenon_L204_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H39b ].
% 83.92/84.04 apply (zenon_L206_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H39c ].
% 83.92/84.04 apply (zenon_L209_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H2ce | zenon_intro zenon_H39d ].
% 83.92/84.04 apply (zenon_L220_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2e6 ].
% 83.92/84.04 apply (zenon_L222_); trivial.
% 83.92/84.04 apply (zenon_L227_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H804); [ zenon_intro zenon_H2f2 | zenon_intro zenon_H808 ].
% 83.92/84.04 apply (zenon_L231_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H808); [ zenon_intro zenon_H2ff | zenon_intro zenon_H809 ].
% 83.92/84.04 apply (zenon_L239_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H809); [ zenon_intro zenon_H315 | zenon_intro zenon_H80a ].
% 83.92/84.04 apply (zenon_L248_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H80a); [ zenon_intro zenon_H319 | zenon_intro zenon_H80b ].
% 83.92/84.04 apply (zenon_L249_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H80b); [ zenon_intro zenon_H333 | zenon_intro zenon_H80c ].
% 83.92/84.04 apply (zenon_L258_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H80c); [ zenon_intro zenon_H344 | zenon_intro zenon_H80d ].
% 83.92/84.04 apply (zenon_L267_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H80d); [ zenon_intro zenon_H37c | zenon_intro zenon_H80e ].
% 83.92/84.04 apply (zenon_L316_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H80e); [ zenon_intro zenon_H3cd | zenon_intro zenon_H80f ].
% 83.92/84.04 apply (zenon_L395_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H80f); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H810 ].
% 83.92/84.04 apply (zenon_L396_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H810); [ zenon_intro zenon_H3ff | zenon_intro zenon_H811 ].
% 83.92/84.04 apply (zenon_L431_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H811); [ zenon_intro zenon_H416 | zenon_intro zenon_H812 ].
% 83.92/84.04 apply (zenon_L438_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H812); [ zenon_intro zenon_H431 | zenon_intro zenon_H813 ].
% 83.92/84.04 apply (zenon_L489_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H813); [ zenon_intro zenon_H44a | zenon_intro zenon_H44d ].
% 83.92/84.04 apply (zenon_L505_); trivial.
% 83.92/84.04 apply (zenon_L506_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H5bd); [ zenon_intro zenon_H5c1 | zenon_intro zenon_H5c0 ].
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H5c1). zenon_intro zenon_H463. zenon_intro zenon_H5c2.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H7dc); [ zenon_intro zenon_H9c | zenon_intro zenon_H803 ].
% 83.92/84.04 apply (zenon_L38_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H803); [ zenon_intro zenon_H805 | zenon_intro zenon_H804 ].
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H805). zenon_intro zenon_H807. zenon_intro zenon_H806.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H806). zenon_intro zenon_H16b. zenon_intro zenon_H1c2.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H380 | zenon_intro zenon_H37f ].
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H1a. zenon_intro zenon_H381.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H9e. zenon_intro zenon_H382.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H384. zenon_intro zenon_H383.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H1e0. zenon_intro zenon_H385.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.04 apply (zenon_L40_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.04 apply (zenon_L520_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.04 apply (zenon_L141_); trivial.
% 83.92/84.04 apply (zenon_L143_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H23c | zenon_intro zenon_H386 ].
% 83.92/84.04 apply (zenon_L150_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H388 | zenon_intro zenon_H387 ].
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H388). zenon_intro zenon_H245. zenon_intro zenon_H389.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.04 apply (zenon_L40_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.04 apply (zenon_L520_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.04 apply (zenon_L155_); trivial.
% 83.92/84.04 apply (zenon_L143_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H38b | zenon_intro zenon_H38a ].
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H38b). zenon_intro zenon_H253. zenon_intro zenon_H38c.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H38c). zenon_intro zenon_H3d1. zenon_intro zenon_H3d0.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H3d0). zenon_intro zenon_H24d. zenon_intro zenon_H3d2.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.04 apply (zenon_L40_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.04 apply (zenon_L520_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.04 apply (zenon_L165_); trivial.
% 83.92/84.04 apply (zenon_L143_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H38e | zenon_intro zenon_H38d ].
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_H260. zenon_intro zenon_H38f.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.04 apply (zenon_L40_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.04 apply (zenon_L520_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.04 apply (zenon_L168_); trivial.
% 83.92/84.04 apply (zenon_L143_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H391 | zenon_intro zenon_H390 ].
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H22a. zenon_intro zenon_H392.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H394. zenon_intro zenon_H393.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H266. zenon_intro zenon_H395.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.04 apply (zenon_L40_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.04 apply (zenon_L520_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.04 apply (zenon_L172_); trivial.
% 83.92/84.04 apply (zenon_L143_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H275 | zenon_intro zenon_H396 ].
% 83.92/84.04 apply (zenon_L184_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H281 | zenon_intro zenon_H397 ].
% 83.92/84.04 apply (zenon_L189_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H294 | zenon_intro zenon_H398 ].
% 83.92/84.04 apply (zenon_L193_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H399 ].
% 83.92/84.04 apply (zenon_L198_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H39a ].
% 83.92/84.04 apply (zenon_L204_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H39b ].
% 83.92/84.04 apply (zenon_L206_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H39c ].
% 83.92/84.04 apply (zenon_L209_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H2ce | zenon_intro zenon_H39d ].
% 83.92/84.04 apply (zenon_L220_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2e6 ].
% 83.92/84.04 apply (zenon_L222_); trivial.
% 83.92/84.04 apply (zenon_L227_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H804); [ zenon_intro zenon_H2f2 | zenon_intro zenon_H808 ].
% 83.92/84.04 apply (zenon_L231_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H808); [ zenon_intro zenon_H2ff | zenon_intro zenon_H809 ].
% 83.92/84.04 apply (zenon_L239_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H809); [ zenon_intro zenon_H315 | zenon_intro zenon_H80a ].
% 83.92/84.04 apply (zenon_L248_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H80a); [ zenon_intro zenon_H319 | zenon_intro zenon_H80b ].
% 83.92/84.04 apply (zenon_L249_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H80b); [ zenon_intro zenon_H333 | zenon_intro zenon_H80c ].
% 83.92/84.04 apply (zenon_L258_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H80c); [ zenon_intro zenon_H344 | zenon_intro zenon_H80d ].
% 83.92/84.04 apply (zenon_L267_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H80d); [ zenon_intro zenon_H37c | zenon_intro zenon_H80e ].
% 83.92/84.04 apply (zenon_L316_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H80e); [ zenon_intro zenon_H3cd | zenon_intro zenon_H80f ].
% 83.92/84.04 apply (zenon_L395_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H80f); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H810 ].
% 83.92/84.04 apply (zenon_L396_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H810); [ zenon_intro zenon_H3ff | zenon_intro zenon_H811 ].
% 83.92/84.04 apply (zenon_L431_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H811); [ zenon_intro zenon_H416 | zenon_intro zenon_H812 ].
% 83.92/84.04 apply (zenon_L438_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H812); [ zenon_intro zenon_H431 | zenon_intro zenon_H813 ].
% 83.92/84.04 apply (zenon_L489_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H813); [ zenon_intro zenon_H44a | zenon_intro zenon_H44d ].
% 83.92/84.04 apply (zenon_L505_); trivial.
% 83.92/84.04 apply (zenon_L506_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H5c0); [ zenon_intro zenon_H5c4 | zenon_intro zenon_H5c3 ].
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H5c4). zenon_intro zenon_H467. zenon_intro zenon_H5c5.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H7dc); [ zenon_intro zenon_H9c | zenon_intro zenon_H803 ].
% 83.92/84.04 apply (zenon_L38_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H803); [ zenon_intro zenon_H805 | zenon_intro zenon_H804 ].
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H805). zenon_intro zenon_H807. zenon_intro zenon_H806.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H806). zenon_intro zenon_H16b. zenon_intro zenon_H1c2.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H380 | zenon_intro zenon_H37f ].
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H1a. zenon_intro zenon_H381.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H9e. zenon_intro zenon_H382.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H384. zenon_intro zenon_H383.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H1e0. zenon_intro zenon_H385.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.04 apply (zenon_L40_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.04 apply (zenon_L522_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.04 apply (zenon_L141_); trivial.
% 83.92/84.04 apply (zenon_L143_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H23c | zenon_intro zenon_H386 ].
% 83.92/84.04 apply (zenon_L150_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H388 | zenon_intro zenon_H387 ].
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H388). zenon_intro zenon_H245. zenon_intro zenon_H389.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.04 apply (zenon_L40_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.04 apply (zenon_L522_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.04 apply (zenon_L155_); trivial.
% 83.92/84.04 apply (zenon_L143_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H38b | zenon_intro zenon_H38a ].
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H38b). zenon_intro zenon_H253. zenon_intro zenon_H38c.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H38c). zenon_intro zenon_H3d1. zenon_intro zenon_H3d0.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H3d0). zenon_intro zenon_H24d. zenon_intro zenon_H3d2.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.04 apply (zenon_L40_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.04 apply (zenon_L522_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.04 apply (zenon_L165_); trivial.
% 83.92/84.04 apply (zenon_L143_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H38e | zenon_intro zenon_H38d ].
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_H260. zenon_intro zenon_H38f.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.04 apply (zenon_L40_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.04 apply (zenon_L522_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.04 apply (zenon_L168_); trivial.
% 83.92/84.04 apply (zenon_L143_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H391 | zenon_intro zenon_H390 ].
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H22a. zenon_intro zenon_H392.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H394. zenon_intro zenon_H393.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H266. zenon_intro zenon_H395.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.04 apply (zenon_L40_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.04 apply (zenon_L522_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.04 apply (zenon_L172_); trivial.
% 83.92/84.04 apply (zenon_L143_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H275 | zenon_intro zenon_H396 ].
% 83.92/84.04 apply (zenon_L184_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H281 | zenon_intro zenon_H397 ].
% 83.92/84.04 apply (zenon_L189_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H294 | zenon_intro zenon_H398 ].
% 83.92/84.04 apply (zenon_L193_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H399 ].
% 83.92/84.04 apply (zenon_L198_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H39a ].
% 83.92/84.04 apply (zenon_L204_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H39b ].
% 83.92/84.04 apply (zenon_L206_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H39c ].
% 83.92/84.04 apply (zenon_L209_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H2ce | zenon_intro zenon_H39d ].
% 83.92/84.04 apply (zenon_L220_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2e6 ].
% 83.92/84.04 apply (zenon_L222_); trivial.
% 83.92/84.04 apply (zenon_L227_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H804); [ zenon_intro zenon_H2f2 | zenon_intro zenon_H808 ].
% 83.92/84.04 apply (zenon_L231_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H808); [ zenon_intro zenon_H2ff | zenon_intro zenon_H809 ].
% 83.92/84.04 apply (zenon_L239_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H809); [ zenon_intro zenon_H315 | zenon_intro zenon_H80a ].
% 83.92/84.04 apply (zenon_L248_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H80a); [ zenon_intro zenon_H319 | zenon_intro zenon_H80b ].
% 83.92/84.04 apply (zenon_L249_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H80b); [ zenon_intro zenon_H333 | zenon_intro zenon_H80c ].
% 83.92/84.04 apply (zenon_L258_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H80c); [ zenon_intro zenon_H344 | zenon_intro zenon_H80d ].
% 83.92/84.04 apply (zenon_L267_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H80d); [ zenon_intro zenon_H37c | zenon_intro zenon_H80e ].
% 83.92/84.04 apply (zenon_L316_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H80e); [ zenon_intro zenon_H3cd | zenon_intro zenon_H80f ].
% 83.92/84.04 apply (zenon_L395_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H80f); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H810 ].
% 83.92/84.04 apply (zenon_L396_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H810); [ zenon_intro zenon_H3ff | zenon_intro zenon_H811 ].
% 83.92/84.04 apply (zenon_L431_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H811); [ zenon_intro zenon_H416 | zenon_intro zenon_H812 ].
% 83.92/84.04 apply (zenon_L438_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H812); [ zenon_intro zenon_H431 | zenon_intro zenon_H813 ].
% 83.92/84.04 apply (zenon_L489_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H813); [ zenon_intro zenon_H44a | zenon_intro zenon_H44d ].
% 83.92/84.04 apply (zenon_L505_); trivial.
% 83.92/84.04 apply (zenon_L506_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H5c3); [ zenon_intro zenon_H5c7 | zenon_intro zenon_H5c6 ].
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H5c7). zenon_intro zenon_H473. zenon_intro zenon_H5c8.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H5c8). zenon_intro zenon_H5ca. zenon_intro zenon_H5c9.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H5c9). zenon_intro zenon_H46d. zenon_intro zenon_H5cb.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H7dc); [ zenon_intro zenon_H9c | zenon_intro zenon_H803 ].
% 83.92/84.04 apply (zenon_L38_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H803); [ zenon_intro zenon_H805 | zenon_intro zenon_H804 ].
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H805). zenon_intro zenon_H807. zenon_intro zenon_H806.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H806). zenon_intro zenon_H16b. zenon_intro zenon_H1c2.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H380 | zenon_intro zenon_H37f ].
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H1a. zenon_intro zenon_H381.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H9e. zenon_intro zenon_H382.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H384. zenon_intro zenon_H383.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H1e0. zenon_intro zenon_H385.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.04 apply (zenon_L40_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.04 apply (zenon_L526_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.04 apply (zenon_L141_); trivial.
% 83.92/84.04 apply (zenon_L143_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H23c | zenon_intro zenon_H386 ].
% 83.92/84.04 apply (zenon_L150_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H388 | zenon_intro zenon_H387 ].
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H388). zenon_intro zenon_H245. zenon_intro zenon_H389.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.04 apply (zenon_L40_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.04 apply (zenon_L526_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.04 apply (zenon_L155_); trivial.
% 83.92/84.04 apply (zenon_L143_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H38b | zenon_intro zenon_H38a ].
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H38b). zenon_intro zenon_H253. zenon_intro zenon_H38c.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H38c). zenon_intro zenon_H3d1. zenon_intro zenon_H3d0.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H3d0). zenon_intro zenon_H24d. zenon_intro zenon_H3d2.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.04 apply (zenon_L40_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.04 apply (zenon_L526_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.04 apply (zenon_L165_); trivial.
% 83.92/84.04 apply (zenon_L143_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H38e | zenon_intro zenon_H38d ].
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_H260. zenon_intro zenon_H38f.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.04 apply (zenon_L40_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.04 apply (zenon_L526_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.04 apply (zenon_L168_); trivial.
% 83.92/84.04 apply (zenon_L143_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H391 | zenon_intro zenon_H390 ].
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H22a. zenon_intro zenon_H392.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H394. zenon_intro zenon_H393.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H266. zenon_intro zenon_H395.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.04 apply (zenon_L40_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.04 apply (zenon_L526_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.04 apply (zenon_L172_); trivial.
% 83.92/84.04 apply (zenon_L143_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H275 | zenon_intro zenon_H396 ].
% 83.92/84.04 apply (zenon_L184_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H281 | zenon_intro zenon_H397 ].
% 83.92/84.04 apply (zenon_L189_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H294 | zenon_intro zenon_H398 ].
% 83.92/84.04 apply (zenon_L193_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H399 ].
% 83.92/84.04 apply (zenon_L198_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H39a ].
% 83.92/84.04 apply (zenon_L204_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H39b ].
% 83.92/84.04 apply (zenon_L206_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H39c ].
% 83.92/84.04 apply (zenon_L209_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H2ce | zenon_intro zenon_H39d ].
% 83.92/84.04 apply (zenon_L220_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2e6 ].
% 83.92/84.04 apply (zenon_L222_); trivial.
% 83.92/84.04 apply (zenon_L227_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H804); [ zenon_intro zenon_H2f2 | zenon_intro zenon_H808 ].
% 83.92/84.04 apply (zenon_L231_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H808); [ zenon_intro zenon_H2ff | zenon_intro zenon_H809 ].
% 83.92/84.04 apply (zenon_L239_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H809); [ zenon_intro zenon_H315 | zenon_intro zenon_H80a ].
% 83.92/84.04 apply (zenon_L248_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H80a); [ zenon_intro zenon_H319 | zenon_intro zenon_H80b ].
% 83.92/84.04 apply (zenon_L249_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H80b); [ zenon_intro zenon_H333 | zenon_intro zenon_H80c ].
% 83.92/84.04 apply (zenon_L258_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H80c); [ zenon_intro zenon_H344 | zenon_intro zenon_H80d ].
% 83.92/84.04 apply (zenon_L267_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H80d); [ zenon_intro zenon_H37c | zenon_intro zenon_H80e ].
% 83.92/84.04 apply (zenon_L316_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H80e); [ zenon_intro zenon_H3cd | zenon_intro zenon_H80f ].
% 83.92/84.04 apply (zenon_L395_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H80f); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H810 ].
% 83.92/84.04 apply (zenon_L396_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H810); [ zenon_intro zenon_H3ff | zenon_intro zenon_H811 ].
% 83.92/84.04 apply (zenon_L431_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H811); [ zenon_intro zenon_H416 | zenon_intro zenon_H812 ].
% 83.92/84.04 apply (zenon_L438_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H812); [ zenon_intro zenon_H431 | zenon_intro zenon_H813 ].
% 83.92/84.04 apply (zenon_L489_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H813); [ zenon_intro zenon_H44a | zenon_intro zenon_H44d ].
% 83.92/84.04 apply (zenon_L505_); trivial.
% 83.92/84.04 apply (zenon_L506_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H5c6); [ zenon_intro zenon_H48c | zenon_intro zenon_H5cc ].
% 83.92/84.04 apply (zenon_L544_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H5cc); [ zenon_intro zenon_H4a3 | zenon_intro zenon_H5cd ].
% 83.92/84.04 apply (zenon_L550_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H5cd); [ zenon_intro zenon_H4b0 | zenon_intro zenon_H5ce ].
% 83.92/84.04 apply (zenon_L556_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H5ce); [ zenon_intro zenon_H4bf | zenon_intro zenon_H5cf ].
% 83.92/84.04 apply (zenon_L564_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H5cf); [ zenon_intro zenon_H4d8 | zenon_intro zenon_H5d0 ].
% 83.92/84.04 apply (zenon_L573_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H5d0); [ zenon_intro zenon_H4e4 | zenon_intro zenon_H5d1 ].
% 83.92/84.04 apply (zenon_L575_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H5d1); [ zenon_intro zenon_H4e7 | zenon_intro zenon_H5d2 ].
% 83.92/84.04 apply (zenon_L578_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H5d2); [ zenon_intro zenon_H4f0 | zenon_intro zenon_H5d3 ].
% 83.92/84.04 apply (zenon_L587_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H5d3); [ zenon_intro zenon_H4f9 | zenon_intro zenon_H521 ].
% 83.92/84.04 apply (zenon_L590_); trivial.
% 83.92/84.04 apply (zenon_L615_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H7ff); [ zenon_intro zenon_H52c | zenon_intro zenon_H814 ].
% 83.92/84.04 apply (zenon_L631_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H814); [ zenon_intro zenon_H536 | zenon_intro zenon_H815 ].
% 83.92/84.04 apply (zenon_L637_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H815); [ zenon_intro zenon_H54e | zenon_intro zenon_H816 ].
% 83.92/84.04 apply (zenon_L650_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H816); [ zenon_intro zenon_H550 | zenon_intro zenon_H817 ].
% 83.92/84.04 apply (zenon_L651_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H817); [ zenon_intro zenon_H56b | zenon_intro zenon_H818 ].
% 83.92/84.04 apply (zenon_L678_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H818); [ zenon_intro zenon_H58a | zenon_intro zenon_H819 ].
% 83.92/84.04 apply (zenon_L721_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H819); [ zenon_intro zenon_H5b2 | zenon_intro zenon_H81a ].
% 83.92/84.04 apply (zenon_L769_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H81a); [ zenon_intro zenon_H604 | zenon_intro zenon_H81b ].
% 83.92/84.04 apply (zenon_L836_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H81b); [ zenon_intro zenon_H615 | zenon_intro zenon_H81c ].
% 83.92/84.04 apply (zenon_L837_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H81c); [ zenon_intro zenon_H634 | zenon_intro zenon_H81d ].
% 83.92/84.04 apply (zenon_L877_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H81d); [ zenon_intro zenon_H647 | zenon_intro zenon_H81e ].
% 83.92/84.04 apply (zenon_L888_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H81e); [ zenon_intro zenon_H662 | zenon_intro zenon_H81f ].
% 83.92/84.04 apply (zenon_L943_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H81f); [ zenon_intro zenon_H677 | zenon_intro zenon_H67a ].
% 83.92/84.04 apply (zenon_L965_); trivial.
% 83.92/84.04 apply (zenon_L966_); trivial.
% 83.92/84.04 apply (zenon_notand_s _ _ zenon_H7fd); [ zenon_intro zenon_H67e | zenon_intro zenon_H820 ].
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H7dd); [ zenon_intro zenon_H97 | zenon_intro zenon_H7fe ].
% 83.92/84.04 apply (zenon_L37_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H7fe); [ zenon_intro zenon_H800 | zenon_intro zenon_H7ff ].
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H800). zenon_intro zenon_H802. zenon_intro zenon_H801.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H801). zenon_intro zenon_Hba. zenon_intro zenon_H14b.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H5b3); [ zenon_intro zenon_H5b6 | zenon_intro zenon_H5b5 ].
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H5b6). zenon_intro zenon_Hb5. zenon_intro zenon_H5b7.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H5b7). zenon_intro zenon_H99. zenon_intro zenon_H5b8.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H5b8). zenon_intro zenon_H5ba. zenon_intro zenon_H5b9.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H5b9). zenon_intro zenon_H155. zenon_intro zenon_H5bb.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H7dc); [ zenon_intro zenon_H9c | zenon_intro zenon_H803 ].
% 83.92/84.04 apply (zenon_L38_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H803); [ zenon_intro zenon_H805 | zenon_intro zenon_H804 ].
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H805). zenon_intro zenon_H807. zenon_intro zenon_H806.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H806). zenon_intro zenon_H16b. zenon_intro zenon_H1c2.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H380 | zenon_intro zenon_H37f ].
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H1a. zenon_intro zenon_H381.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H9e. zenon_intro zenon_H382.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H384. zenon_intro zenon_H383.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H1e0. zenon_intro zenon_H385.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.04 apply (zenon_L40_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.04 apply (zenon_L89_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.04 apply (zenon_L969_); trivial.
% 83.92/84.04 apply (zenon_L143_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H23c | zenon_intro zenon_H386 ].
% 83.92/84.04 apply (zenon_L150_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H388 | zenon_intro zenon_H387 ].
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H388). zenon_intro zenon_H245. zenon_intro zenon_H389.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.04 apply (zenon_L40_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.04 apply (zenon_L89_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.04 apply (zenon_L971_); trivial.
% 83.92/84.04 apply (zenon_L143_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H38b | zenon_intro zenon_H38a ].
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H38b). zenon_intro zenon_H253. zenon_intro zenon_H38c.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H38c). zenon_intro zenon_H3d1. zenon_intro zenon_H3d0.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H3d0). zenon_intro zenon_H24d. zenon_intro zenon_H3d2.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.04 apply (zenon_L40_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.04 apply (zenon_L89_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.04 apply (zenon_L973_); trivial.
% 83.92/84.04 apply (zenon_L143_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H38e | zenon_intro zenon_H38d ].
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_H260. zenon_intro zenon_H38f.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.04 apply (zenon_L40_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.04 apply (zenon_L89_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.04 apply (zenon_L975_); trivial.
% 83.92/84.04 apply (zenon_L143_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H391 | zenon_intro zenon_H390 ].
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H22a. zenon_intro zenon_H392.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H394. zenon_intro zenon_H393.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H266. zenon_intro zenon_H395.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.04 apply (zenon_L40_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.04 apply (zenon_L89_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.04 apply (zenon_L977_); trivial.
% 83.92/84.04 apply (zenon_L143_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H275 | zenon_intro zenon_H396 ].
% 83.92/84.04 apply (zenon_L184_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H281 | zenon_intro zenon_H397 ].
% 83.92/84.04 apply (zenon_L189_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H294 | zenon_intro zenon_H398 ].
% 83.92/84.04 apply (zenon_L193_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H399 ].
% 83.92/84.04 apply (zenon_L198_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H39a ].
% 83.92/84.04 apply (zenon_L204_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H39b ].
% 83.92/84.04 apply (zenon_L206_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H39c ].
% 83.92/84.04 apply (zenon_L209_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H2ce | zenon_intro zenon_H39d ].
% 83.92/84.04 apply (zenon_L220_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2e6 ].
% 83.92/84.04 apply (zenon_L222_); trivial.
% 83.92/84.04 apply (zenon_L227_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H804); [ zenon_intro zenon_H2f2 | zenon_intro zenon_H808 ].
% 83.92/84.04 apply (zenon_L231_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H808); [ zenon_intro zenon_H2ff | zenon_intro zenon_H809 ].
% 83.92/84.04 apply (zenon_L239_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H809); [ zenon_intro zenon_H315 | zenon_intro zenon_H80a ].
% 83.92/84.04 apply (zenon_L248_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H80a); [ zenon_intro zenon_H319 | zenon_intro zenon_H80b ].
% 83.92/84.04 apply (zenon_L249_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H80b); [ zenon_intro zenon_H333 | zenon_intro zenon_H80c ].
% 83.92/84.04 apply (zenon_L258_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H80c); [ zenon_intro zenon_H344 | zenon_intro zenon_H80d ].
% 83.92/84.04 apply (zenon_L267_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H80d); [ zenon_intro zenon_H37c | zenon_intro zenon_H80e ].
% 83.92/84.04 apply (zenon_L316_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H80e); [ zenon_intro zenon_H3cd | zenon_intro zenon_H80f ].
% 83.92/84.04 apply (zenon_L395_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H80f); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H810 ].
% 83.92/84.04 apply (zenon_L396_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H810); [ zenon_intro zenon_H3ff | zenon_intro zenon_H811 ].
% 83.92/84.04 apply (zenon_L431_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H811); [ zenon_intro zenon_H416 | zenon_intro zenon_H812 ].
% 83.92/84.04 apply (zenon_L438_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H812); [ zenon_intro zenon_H431 | zenon_intro zenon_H813 ].
% 83.92/84.04 apply (zenon_L489_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H813); [ zenon_intro zenon_H44a | zenon_intro zenon_H44d ].
% 83.92/84.04 apply (zenon_L505_); trivial.
% 83.92/84.04 apply (zenon_L506_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H5b5); [ zenon_intro zenon_H456 | zenon_intro zenon_H5bc ].
% 83.92/84.04 apply (zenon_L509_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H5bc); [ zenon_intro zenon_H5be | zenon_intro zenon_H5bd ].
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H5be). zenon_intro zenon_H45b. zenon_intro zenon_H5bf.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H7dc); [ zenon_intro zenon_H9c | zenon_intro zenon_H803 ].
% 83.92/84.04 apply (zenon_L38_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H803); [ zenon_intro zenon_H805 | zenon_intro zenon_H804 ].
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H805). zenon_intro zenon_H807. zenon_intro zenon_H806.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H806). zenon_intro zenon_H16b. zenon_intro zenon_H1c2.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H380 | zenon_intro zenon_H37f ].
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H1a. zenon_intro zenon_H381.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H9e. zenon_intro zenon_H382.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H384. zenon_intro zenon_H383.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H1e0. zenon_intro zenon_H385.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.04 apply (zenon_L40_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.04 apply (zenon_L511_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.04 apply (zenon_L969_); trivial.
% 83.92/84.04 apply (zenon_L143_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H23c | zenon_intro zenon_H386 ].
% 83.92/84.04 apply (zenon_L150_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H388 | zenon_intro zenon_H387 ].
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H388). zenon_intro zenon_H245. zenon_intro zenon_H389.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.04 apply (zenon_L40_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.04 apply (zenon_L511_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.04 apply (zenon_L971_); trivial.
% 83.92/84.04 apply (zenon_L143_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H38b | zenon_intro zenon_H38a ].
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H38b). zenon_intro zenon_H253. zenon_intro zenon_H38c.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H38c). zenon_intro zenon_H3d1. zenon_intro zenon_H3d0.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H3d0). zenon_intro zenon_H24d. zenon_intro zenon_H3d2.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.04 apply (zenon_L40_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.04 apply (zenon_L511_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.04 apply (zenon_L973_); trivial.
% 83.92/84.04 apply (zenon_L143_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H38e | zenon_intro zenon_H38d ].
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_H260. zenon_intro zenon_H38f.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.04 apply (zenon_L40_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.04 apply (zenon_L511_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.04 apply (zenon_L975_); trivial.
% 83.92/84.04 apply (zenon_L143_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H391 | zenon_intro zenon_H390 ].
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H22a. zenon_intro zenon_H392.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H394. zenon_intro zenon_H393.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H266. zenon_intro zenon_H395.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.04 apply (zenon_L40_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.04 apply (zenon_L511_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.04 apply (zenon_L977_); trivial.
% 83.92/84.04 apply (zenon_L143_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H275 | zenon_intro zenon_H396 ].
% 83.92/84.04 apply (zenon_L184_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H281 | zenon_intro zenon_H397 ].
% 83.92/84.04 apply (zenon_L189_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H294 | zenon_intro zenon_H398 ].
% 83.92/84.04 apply (zenon_L193_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H399 ].
% 83.92/84.04 apply (zenon_L198_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H39a ].
% 83.92/84.04 apply (zenon_L204_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H39b ].
% 83.92/84.04 apply (zenon_L206_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H39c ].
% 83.92/84.04 apply (zenon_L209_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H2ce | zenon_intro zenon_H39d ].
% 83.92/84.04 apply (zenon_L220_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2e6 ].
% 83.92/84.04 apply (zenon_L222_); trivial.
% 83.92/84.04 apply (zenon_L227_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H804); [ zenon_intro zenon_H2f2 | zenon_intro zenon_H808 ].
% 83.92/84.04 apply (zenon_L231_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H808); [ zenon_intro zenon_H2ff | zenon_intro zenon_H809 ].
% 83.92/84.04 apply (zenon_L239_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H809); [ zenon_intro zenon_H315 | zenon_intro zenon_H80a ].
% 83.92/84.04 apply (zenon_L248_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H80a); [ zenon_intro zenon_H319 | zenon_intro zenon_H80b ].
% 83.92/84.04 apply (zenon_L249_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H80b); [ zenon_intro zenon_H333 | zenon_intro zenon_H80c ].
% 83.92/84.04 apply (zenon_L258_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H80c); [ zenon_intro zenon_H344 | zenon_intro zenon_H80d ].
% 83.92/84.04 apply (zenon_L267_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H80d); [ zenon_intro zenon_H37c | zenon_intro zenon_H80e ].
% 83.92/84.04 apply (zenon_L316_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H80e); [ zenon_intro zenon_H3cd | zenon_intro zenon_H80f ].
% 83.92/84.04 apply (zenon_L395_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H80f); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H810 ].
% 83.92/84.04 apply (zenon_L396_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H810); [ zenon_intro zenon_H3ff | zenon_intro zenon_H811 ].
% 83.92/84.04 apply (zenon_L431_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H811); [ zenon_intro zenon_H416 | zenon_intro zenon_H812 ].
% 83.92/84.04 apply (zenon_L438_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H812); [ zenon_intro zenon_H431 | zenon_intro zenon_H813 ].
% 83.92/84.04 apply (zenon_L489_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H813); [ zenon_intro zenon_H44a | zenon_intro zenon_H44d ].
% 83.92/84.04 apply (zenon_L505_); trivial.
% 83.92/84.04 apply (zenon_L506_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H5bd); [ zenon_intro zenon_H5c1 | zenon_intro zenon_H5c0 ].
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H5c1). zenon_intro zenon_H463. zenon_intro zenon_H5c2.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H7dc); [ zenon_intro zenon_H9c | zenon_intro zenon_H803 ].
% 83.92/84.04 apply (zenon_L38_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H803); [ zenon_intro zenon_H805 | zenon_intro zenon_H804 ].
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H805). zenon_intro zenon_H807. zenon_intro zenon_H806.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H806). zenon_intro zenon_H16b. zenon_intro zenon_H1c2.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H380 | zenon_intro zenon_H37f ].
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H1a. zenon_intro zenon_H381.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H9e. zenon_intro zenon_H382.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H384. zenon_intro zenon_H383.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H1e0. zenon_intro zenon_H385.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.04 apply (zenon_L40_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.04 apply (zenon_L520_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.04 apply (zenon_L969_); trivial.
% 83.92/84.04 apply (zenon_L143_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H23c | zenon_intro zenon_H386 ].
% 83.92/84.04 apply (zenon_L150_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H388 | zenon_intro zenon_H387 ].
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H388). zenon_intro zenon_H245. zenon_intro zenon_H389.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.04 apply (zenon_L40_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.04 apply (zenon_L520_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.04 apply (zenon_L971_); trivial.
% 83.92/84.04 apply (zenon_L143_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H38b | zenon_intro zenon_H38a ].
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H38b). zenon_intro zenon_H253. zenon_intro zenon_H38c.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H38c). zenon_intro zenon_H3d1. zenon_intro zenon_H3d0.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H3d0). zenon_intro zenon_H24d. zenon_intro zenon_H3d2.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.04 apply (zenon_L40_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.04 apply (zenon_L520_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.04 apply (zenon_L973_); trivial.
% 83.92/84.04 apply (zenon_L143_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H38e | zenon_intro zenon_H38d ].
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_H260. zenon_intro zenon_H38f.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.04 apply (zenon_L40_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.04 apply (zenon_L520_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.04 apply (zenon_L975_); trivial.
% 83.92/84.04 apply (zenon_L143_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H391 | zenon_intro zenon_H390 ].
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H22a. zenon_intro zenon_H392.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H394. zenon_intro zenon_H393.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H266. zenon_intro zenon_H395.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.04 apply (zenon_L40_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.04 apply (zenon_L520_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.04 apply (zenon_L977_); trivial.
% 83.92/84.04 apply (zenon_L143_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H275 | zenon_intro zenon_H396 ].
% 83.92/84.04 apply (zenon_L184_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H281 | zenon_intro zenon_H397 ].
% 83.92/84.04 apply (zenon_L189_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H294 | zenon_intro zenon_H398 ].
% 83.92/84.04 apply (zenon_L193_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H399 ].
% 83.92/84.04 apply (zenon_L198_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H39a ].
% 83.92/84.04 apply (zenon_L204_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H39b ].
% 83.92/84.04 apply (zenon_L206_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H39c ].
% 83.92/84.04 apply (zenon_L209_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H2ce | zenon_intro zenon_H39d ].
% 83.92/84.04 apply (zenon_L220_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2e6 ].
% 83.92/84.04 apply (zenon_L222_); trivial.
% 83.92/84.04 apply (zenon_L227_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H804); [ zenon_intro zenon_H2f2 | zenon_intro zenon_H808 ].
% 83.92/84.04 apply (zenon_L231_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H808); [ zenon_intro zenon_H2ff | zenon_intro zenon_H809 ].
% 83.92/84.04 apply (zenon_L239_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H809); [ zenon_intro zenon_H315 | zenon_intro zenon_H80a ].
% 83.92/84.04 apply (zenon_L248_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H80a); [ zenon_intro zenon_H319 | zenon_intro zenon_H80b ].
% 83.92/84.04 apply (zenon_L249_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H80b); [ zenon_intro zenon_H333 | zenon_intro zenon_H80c ].
% 83.92/84.04 apply (zenon_L258_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H80c); [ zenon_intro zenon_H344 | zenon_intro zenon_H80d ].
% 83.92/84.04 apply (zenon_L267_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H80d); [ zenon_intro zenon_H37c | zenon_intro zenon_H80e ].
% 83.92/84.04 apply (zenon_L316_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H80e); [ zenon_intro zenon_H3cd | zenon_intro zenon_H80f ].
% 83.92/84.04 apply (zenon_L395_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H80f); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H810 ].
% 83.92/84.04 apply (zenon_L396_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H810); [ zenon_intro zenon_H3ff | zenon_intro zenon_H811 ].
% 83.92/84.04 apply (zenon_L431_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H811); [ zenon_intro zenon_H416 | zenon_intro zenon_H812 ].
% 83.92/84.04 apply (zenon_L438_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H812); [ zenon_intro zenon_H431 | zenon_intro zenon_H813 ].
% 83.92/84.04 apply (zenon_L489_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H813); [ zenon_intro zenon_H44a | zenon_intro zenon_H44d ].
% 83.92/84.04 apply (zenon_L505_); trivial.
% 83.92/84.04 apply (zenon_L506_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H5c0); [ zenon_intro zenon_H5c4 | zenon_intro zenon_H5c3 ].
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H5c4). zenon_intro zenon_H467. zenon_intro zenon_H5c5.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H7dc); [ zenon_intro zenon_H9c | zenon_intro zenon_H803 ].
% 83.92/84.04 apply (zenon_L38_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H803); [ zenon_intro zenon_H805 | zenon_intro zenon_H804 ].
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H805). zenon_intro zenon_H807. zenon_intro zenon_H806.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H806). zenon_intro zenon_H16b. zenon_intro zenon_H1c2.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H380 | zenon_intro zenon_H37f ].
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H1a. zenon_intro zenon_H381.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H9e. zenon_intro zenon_H382.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H384. zenon_intro zenon_H383.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H1e0. zenon_intro zenon_H385.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.04 apply (zenon_L40_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.04 apply (zenon_L522_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.04 apply (zenon_L969_); trivial.
% 83.92/84.04 apply (zenon_L143_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H23c | zenon_intro zenon_H386 ].
% 83.92/84.04 apply (zenon_L150_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H388 | zenon_intro zenon_H387 ].
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H388). zenon_intro zenon_H245. zenon_intro zenon_H389.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.04 apply (zenon_L40_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.04 apply (zenon_L522_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.04 apply (zenon_L971_); trivial.
% 83.92/84.04 apply (zenon_L143_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H38b | zenon_intro zenon_H38a ].
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H38b). zenon_intro zenon_H253. zenon_intro zenon_H38c.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H38c). zenon_intro zenon_H3d1. zenon_intro zenon_H3d0.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H3d0). zenon_intro zenon_H24d. zenon_intro zenon_H3d2.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.04 apply (zenon_L40_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.04 apply (zenon_L522_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.04 apply (zenon_L973_); trivial.
% 83.92/84.04 apply (zenon_L143_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H38e | zenon_intro zenon_H38d ].
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_H260. zenon_intro zenon_H38f.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.04 apply (zenon_L40_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.04 apply (zenon_L522_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.04 apply (zenon_L975_); trivial.
% 83.92/84.04 apply (zenon_L143_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H391 | zenon_intro zenon_H390 ].
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H22a. zenon_intro zenon_H392.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H394. zenon_intro zenon_H393.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H266. zenon_intro zenon_H395.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.04 apply (zenon_L40_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.04 apply (zenon_L522_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.04 apply (zenon_L977_); trivial.
% 83.92/84.04 apply (zenon_L143_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H275 | zenon_intro zenon_H396 ].
% 83.92/84.04 apply (zenon_L184_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H281 | zenon_intro zenon_H397 ].
% 83.92/84.04 apply (zenon_L189_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H294 | zenon_intro zenon_H398 ].
% 83.92/84.04 apply (zenon_L193_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H399 ].
% 83.92/84.04 apply (zenon_L198_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H39a ].
% 83.92/84.04 apply (zenon_L204_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H39b ].
% 83.92/84.04 apply (zenon_L206_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H39c ].
% 83.92/84.04 apply (zenon_L209_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H2ce | zenon_intro zenon_H39d ].
% 83.92/84.04 apply (zenon_L220_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2e6 ].
% 83.92/84.04 apply (zenon_L222_); trivial.
% 83.92/84.04 apply (zenon_L227_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H804); [ zenon_intro zenon_H2f2 | zenon_intro zenon_H808 ].
% 83.92/84.04 apply (zenon_L231_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H808); [ zenon_intro zenon_H2ff | zenon_intro zenon_H809 ].
% 83.92/84.04 apply (zenon_L239_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H809); [ zenon_intro zenon_H315 | zenon_intro zenon_H80a ].
% 83.92/84.04 apply (zenon_L248_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H80a); [ zenon_intro zenon_H319 | zenon_intro zenon_H80b ].
% 83.92/84.04 apply (zenon_L249_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H80b); [ zenon_intro zenon_H333 | zenon_intro zenon_H80c ].
% 83.92/84.04 apply (zenon_L258_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H80c); [ zenon_intro zenon_H344 | zenon_intro zenon_H80d ].
% 83.92/84.04 apply (zenon_L267_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H80d); [ zenon_intro zenon_H37c | zenon_intro zenon_H80e ].
% 83.92/84.04 apply (zenon_L316_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H80e); [ zenon_intro zenon_H3cd | zenon_intro zenon_H80f ].
% 83.92/84.04 apply (zenon_L395_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H80f); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H810 ].
% 83.92/84.04 apply (zenon_L396_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H810); [ zenon_intro zenon_H3ff | zenon_intro zenon_H811 ].
% 83.92/84.04 apply (zenon_L431_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H811); [ zenon_intro zenon_H416 | zenon_intro zenon_H812 ].
% 83.92/84.04 apply (zenon_L438_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H812); [ zenon_intro zenon_H431 | zenon_intro zenon_H813 ].
% 83.92/84.04 apply (zenon_L489_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H813); [ zenon_intro zenon_H44a | zenon_intro zenon_H44d ].
% 83.92/84.04 apply (zenon_L505_); trivial.
% 83.92/84.04 apply (zenon_L506_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H5c3); [ zenon_intro zenon_H5c7 | zenon_intro zenon_H5c6 ].
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H5c7). zenon_intro zenon_H473. zenon_intro zenon_H5c8.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H5c8). zenon_intro zenon_H5ca. zenon_intro zenon_H5c9.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H5c9). zenon_intro zenon_H46d. zenon_intro zenon_H5cb.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H7dc); [ zenon_intro zenon_H9c | zenon_intro zenon_H803 ].
% 83.92/84.04 apply (zenon_L38_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H803); [ zenon_intro zenon_H805 | zenon_intro zenon_H804 ].
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H805). zenon_intro zenon_H807. zenon_intro zenon_H806.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H806). zenon_intro zenon_H16b. zenon_intro zenon_H1c2.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H380 | zenon_intro zenon_H37f ].
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H1a. zenon_intro zenon_H381.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H9e. zenon_intro zenon_H382.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H384. zenon_intro zenon_H383.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H1e0. zenon_intro zenon_H385.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.04 apply (zenon_L40_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.04 apply (zenon_L526_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.04 apply (zenon_L969_); trivial.
% 83.92/84.04 apply (zenon_L143_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H23c | zenon_intro zenon_H386 ].
% 83.92/84.04 apply (zenon_L150_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H388 | zenon_intro zenon_H387 ].
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H388). zenon_intro zenon_H245. zenon_intro zenon_H389.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.04 apply (zenon_L40_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.04 apply (zenon_L526_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.04 apply (zenon_L971_); trivial.
% 83.92/84.04 apply (zenon_L143_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H38b | zenon_intro zenon_H38a ].
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H38b). zenon_intro zenon_H253. zenon_intro zenon_H38c.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H38c). zenon_intro zenon_H3d1. zenon_intro zenon_H3d0.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H3d0). zenon_intro zenon_H24d. zenon_intro zenon_H3d2.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.04 apply (zenon_L40_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.04 apply (zenon_L526_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.04 apply (zenon_L973_); trivial.
% 83.92/84.04 apply (zenon_L143_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H38e | zenon_intro zenon_H38d ].
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_H260. zenon_intro zenon_H38f.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.04 apply (zenon_L40_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.04 apply (zenon_L526_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.04 apply (zenon_L975_); trivial.
% 83.92/84.04 apply (zenon_L143_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H391 | zenon_intro zenon_H390 ].
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H22a. zenon_intro zenon_H392.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H394. zenon_intro zenon_H393.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H266. zenon_intro zenon_H395.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.04 apply (zenon_L40_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.04 apply (zenon_L526_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.04 apply (zenon_L977_); trivial.
% 83.92/84.04 apply (zenon_L143_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H275 | zenon_intro zenon_H396 ].
% 83.92/84.04 apply (zenon_L184_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H281 | zenon_intro zenon_H397 ].
% 83.92/84.04 apply (zenon_L189_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H294 | zenon_intro zenon_H398 ].
% 83.92/84.04 apply (zenon_L193_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H399 ].
% 83.92/84.04 apply (zenon_L198_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H39a ].
% 83.92/84.04 apply (zenon_L204_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H39b ].
% 83.92/84.04 apply (zenon_L206_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H39c ].
% 83.92/84.04 apply (zenon_L209_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H2ce | zenon_intro zenon_H39d ].
% 83.92/84.04 apply (zenon_L220_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2e6 ].
% 83.92/84.04 apply (zenon_L222_); trivial.
% 83.92/84.04 apply (zenon_L227_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H804); [ zenon_intro zenon_H2f2 | zenon_intro zenon_H808 ].
% 83.92/84.04 apply (zenon_L231_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H808); [ zenon_intro zenon_H2ff | zenon_intro zenon_H809 ].
% 83.92/84.04 apply (zenon_L239_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H809); [ zenon_intro zenon_H315 | zenon_intro zenon_H80a ].
% 83.92/84.04 apply (zenon_L248_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H80a); [ zenon_intro zenon_H319 | zenon_intro zenon_H80b ].
% 83.92/84.04 apply (zenon_L249_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H80b); [ zenon_intro zenon_H333 | zenon_intro zenon_H80c ].
% 83.92/84.04 apply (zenon_L258_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H80c); [ zenon_intro zenon_H344 | zenon_intro zenon_H80d ].
% 83.92/84.04 apply (zenon_L267_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H80d); [ zenon_intro zenon_H37c | zenon_intro zenon_H80e ].
% 83.92/84.04 apply (zenon_L316_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H80e); [ zenon_intro zenon_H3cd | zenon_intro zenon_H80f ].
% 83.92/84.04 apply (zenon_L395_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H80f); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H810 ].
% 83.92/84.04 apply (zenon_L396_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H810); [ zenon_intro zenon_H3ff | zenon_intro zenon_H811 ].
% 83.92/84.04 apply (zenon_L431_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H811); [ zenon_intro zenon_H416 | zenon_intro zenon_H812 ].
% 83.92/84.04 apply (zenon_L438_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H812); [ zenon_intro zenon_H431 | zenon_intro zenon_H813 ].
% 83.92/84.04 apply (zenon_L489_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H813); [ zenon_intro zenon_H44a | zenon_intro zenon_H44d ].
% 83.92/84.04 apply (zenon_L505_); trivial.
% 83.92/84.04 apply (zenon_L506_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H5c6); [ zenon_intro zenon_H48c | zenon_intro zenon_H5cc ].
% 83.92/84.04 apply (zenon_L544_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H5cc); [ zenon_intro zenon_H4a3 | zenon_intro zenon_H5cd ].
% 83.92/84.04 apply (zenon_L550_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H5cd); [ zenon_intro zenon_H4b0 | zenon_intro zenon_H5ce ].
% 83.92/84.04 apply (zenon_L556_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H5ce); [ zenon_intro zenon_H4bf | zenon_intro zenon_H5cf ].
% 83.92/84.04 apply (zenon_L564_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H5cf); [ zenon_intro zenon_H4d8 | zenon_intro zenon_H5d0 ].
% 83.92/84.04 apply (zenon_L573_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H5d0); [ zenon_intro zenon_H4e4 | zenon_intro zenon_H5d1 ].
% 83.92/84.04 apply (zenon_L575_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H5d1); [ zenon_intro zenon_H4e7 | zenon_intro zenon_H5d2 ].
% 83.92/84.04 apply (zenon_L578_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H5d2); [ zenon_intro zenon_H4f0 | zenon_intro zenon_H5d3 ].
% 83.92/84.04 apply (zenon_L587_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H5d3); [ zenon_intro zenon_H4f9 | zenon_intro zenon_H521 ].
% 83.92/84.04 apply (zenon_L590_); trivial.
% 83.92/84.04 apply (zenon_L615_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H7ff); [ zenon_intro zenon_H52c | zenon_intro zenon_H814 ].
% 83.92/84.04 apply (zenon_L631_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H814); [ zenon_intro zenon_H536 | zenon_intro zenon_H815 ].
% 83.92/84.04 apply (zenon_L637_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H815); [ zenon_intro zenon_H54e | zenon_intro zenon_H816 ].
% 83.92/84.04 apply (zenon_L650_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H816); [ zenon_intro zenon_H550 | zenon_intro zenon_H817 ].
% 83.92/84.04 apply (zenon_L651_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H817); [ zenon_intro zenon_H56b | zenon_intro zenon_H818 ].
% 83.92/84.04 apply (zenon_L678_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H818); [ zenon_intro zenon_H58a | zenon_intro zenon_H819 ].
% 83.92/84.04 apply (zenon_L721_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H819); [ zenon_intro zenon_H5b2 | zenon_intro zenon_H81a ].
% 83.92/84.04 apply (zenon_L769_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H81a); [ zenon_intro zenon_H604 | zenon_intro zenon_H81b ].
% 83.92/84.04 apply (zenon_L836_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H81b); [ zenon_intro zenon_H615 | zenon_intro zenon_H81c ].
% 83.92/84.04 apply (zenon_L837_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H81c); [ zenon_intro zenon_H634 | zenon_intro zenon_H81d ].
% 83.92/84.04 apply (zenon_L877_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H81d); [ zenon_intro zenon_H647 | zenon_intro zenon_H81e ].
% 83.92/84.04 apply (zenon_L888_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H81e); [ zenon_intro zenon_H662 | zenon_intro zenon_H81f ].
% 83.92/84.04 apply (zenon_L943_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H81f); [ zenon_intro zenon_H677 | zenon_intro zenon_H67a ].
% 83.92/84.04 apply (zenon_L965_); trivial.
% 83.92/84.04 apply (zenon_L966_); trivial.
% 83.92/84.04 apply (zenon_notand_s _ _ zenon_H820); [ zenon_intro zenon_H68d | zenon_intro zenon_H821 ].
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H7dd); [ zenon_intro zenon_H97 | zenon_intro zenon_H7fe ].
% 83.92/84.04 apply (zenon_L37_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H7fe); [ zenon_intro zenon_H800 | zenon_intro zenon_H7ff ].
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H800). zenon_intro zenon_H802. zenon_intro zenon_H801.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H801). zenon_intro zenon_Hba. zenon_intro zenon_H14b.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H5b3); [ zenon_intro zenon_H5b6 | zenon_intro zenon_H5b5 ].
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H5b6). zenon_intro zenon_Hb5. zenon_intro zenon_H5b7.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H5b7). zenon_intro zenon_H99. zenon_intro zenon_H5b8.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H5b8). zenon_intro zenon_H5ba. zenon_intro zenon_H5b9.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H5b9). zenon_intro zenon_H155. zenon_intro zenon_H5bb.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H7dc); [ zenon_intro zenon_H9c | zenon_intro zenon_H803 ].
% 83.92/84.04 apply (zenon_L38_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H803); [ zenon_intro zenon_H805 | zenon_intro zenon_H804 ].
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H805). zenon_intro zenon_H807. zenon_intro zenon_H806.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H806). zenon_intro zenon_H16b. zenon_intro zenon_H1c2.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H380 | zenon_intro zenon_H37f ].
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H1a. zenon_intro zenon_H381.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H9e. zenon_intro zenon_H382.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H384. zenon_intro zenon_H383.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H1e0. zenon_intro zenon_H385.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.04 apply (zenon_L40_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.04 apply (zenon_L89_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.04 apply (zenon_L982_); trivial.
% 83.92/84.04 apply (zenon_L143_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H23c | zenon_intro zenon_H386 ].
% 83.92/84.04 apply (zenon_L150_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H388 | zenon_intro zenon_H387 ].
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H388). zenon_intro zenon_H245. zenon_intro zenon_H389.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.04 apply (zenon_L40_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.04 apply (zenon_L89_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.04 apply (zenon_L984_); trivial.
% 83.92/84.04 apply (zenon_L143_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H38b | zenon_intro zenon_H38a ].
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H38b). zenon_intro zenon_H253. zenon_intro zenon_H38c.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H38c). zenon_intro zenon_H3d1. zenon_intro zenon_H3d0.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H3d0). zenon_intro zenon_H24d. zenon_intro zenon_H3d2.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.04 apply (zenon_L40_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.04 apply (zenon_L89_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.04 apply (zenon_L986_); trivial.
% 83.92/84.04 apply (zenon_L143_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H38e | zenon_intro zenon_H38d ].
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_H260. zenon_intro zenon_H38f.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.04 apply (zenon_L40_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.04 apply (zenon_L89_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.04 apply (zenon_L988_); trivial.
% 83.92/84.04 apply (zenon_L143_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H391 | zenon_intro zenon_H390 ].
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H22a. zenon_intro zenon_H392.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H394. zenon_intro zenon_H393.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H266. zenon_intro zenon_H395.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.04 apply (zenon_L40_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.04 apply (zenon_L89_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.04 apply (zenon_L990_); trivial.
% 83.92/84.04 apply (zenon_L143_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H275 | zenon_intro zenon_H396 ].
% 83.92/84.04 apply (zenon_L184_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H281 | zenon_intro zenon_H397 ].
% 83.92/84.04 apply (zenon_L189_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H294 | zenon_intro zenon_H398 ].
% 83.92/84.04 apply (zenon_L193_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H399 ].
% 83.92/84.04 apply (zenon_L198_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H39a ].
% 83.92/84.04 apply (zenon_L204_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H39b ].
% 83.92/84.04 apply (zenon_L206_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H39c ].
% 83.92/84.04 apply (zenon_L209_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H2ce | zenon_intro zenon_H39d ].
% 83.92/84.04 apply (zenon_L220_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2e6 ].
% 83.92/84.04 apply (zenon_L222_); trivial.
% 83.92/84.04 apply (zenon_L227_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H804); [ zenon_intro zenon_H2f2 | zenon_intro zenon_H808 ].
% 83.92/84.04 apply (zenon_L231_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H808); [ zenon_intro zenon_H2ff | zenon_intro zenon_H809 ].
% 83.92/84.04 apply (zenon_L239_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H809); [ zenon_intro zenon_H315 | zenon_intro zenon_H80a ].
% 83.92/84.04 apply (zenon_L248_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H80a); [ zenon_intro zenon_H319 | zenon_intro zenon_H80b ].
% 83.92/84.04 apply (zenon_L249_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H80b); [ zenon_intro zenon_H333 | zenon_intro zenon_H80c ].
% 83.92/84.04 apply (zenon_L258_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H80c); [ zenon_intro zenon_H344 | zenon_intro zenon_H80d ].
% 83.92/84.04 apply (zenon_L267_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H80d); [ zenon_intro zenon_H37c | zenon_intro zenon_H80e ].
% 83.92/84.04 apply (zenon_L316_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H80e); [ zenon_intro zenon_H3cd | zenon_intro zenon_H80f ].
% 83.92/84.04 apply (zenon_L395_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H80f); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H810 ].
% 83.92/84.04 apply (zenon_L396_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H810); [ zenon_intro zenon_H3ff | zenon_intro zenon_H811 ].
% 83.92/84.04 apply (zenon_L431_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H811); [ zenon_intro zenon_H416 | zenon_intro zenon_H812 ].
% 83.92/84.04 apply (zenon_L438_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H812); [ zenon_intro zenon_H431 | zenon_intro zenon_H813 ].
% 83.92/84.04 apply (zenon_L489_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H813); [ zenon_intro zenon_H44a | zenon_intro zenon_H44d ].
% 83.92/84.04 apply (zenon_L505_); trivial.
% 83.92/84.04 apply (zenon_L506_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H5b5); [ zenon_intro zenon_H456 | zenon_intro zenon_H5bc ].
% 83.92/84.04 apply (zenon_L509_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H5bc); [ zenon_intro zenon_H5be | zenon_intro zenon_H5bd ].
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H5be). zenon_intro zenon_H45b. zenon_intro zenon_H5bf.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H7dc); [ zenon_intro zenon_H9c | zenon_intro zenon_H803 ].
% 83.92/84.04 apply (zenon_L38_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H803); [ zenon_intro zenon_H805 | zenon_intro zenon_H804 ].
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H805). zenon_intro zenon_H807. zenon_intro zenon_H806.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H806). zenon_intro zenon_H16b. zenon_intro zenon_H1c2.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H380 | zenon_intro zenon_H37f ].
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H1a. zenon_intro zenon_H381.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H9e. zenon_intro zenon_H382.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H384. zenon_intro zenon_H383.
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H1e0. zenon_intro zenon_H385.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.04 apply (zenon_L40_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.04 apply (zenon_L511_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.04 apply (zenon_L982_); trivial.
% 83.92/84.04 apply (zenon_L143_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H23c | zenon_intro zenon_H386 ].
% 83.92/84.04 apply (zenon_L150_); trivial.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H388 | zenon_intro zenon_H387 ].
% 83.92/84.04 apply (zenon_and_s _ _ zenon_H388). zenon_intro zenon_H245. zenon_intro zenon_H389.
% 83.92/84.04 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.04 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L511_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L984_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H38b | zenon_intro zenon_H38a ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H38b). zenon_intro zenon_H253. zenon_intro zenon_H38c.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H38c). zenon_intro zenon_H3d1. zenon_intro zenon_H3d0.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H3d0). zenon_intro zenon_H24d. zenon_intro zenon_H3d2.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L511_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L986_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H38e | zenon_intro zenon_H38d ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_H260. zenon_intro zenon_H38f.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L511_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L988_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H391 | zenon_intro zenon_H390 ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H22a. zenon_intro zenon_H392.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H394. zenon_intro zenon_H393.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H266. zenon_intro zenon_H395.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L511_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L990_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H275 | zenon_intro zenon_H396 ].
% 83.92/84.05 apply (zenon_L184_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H281 | zenon_intro zenon_H397 ].
% 83.92/84.05 apply (zenon_L189_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H294 | zenon_intro zenon_H398 ].
% 83.92/84.05 apply (zenon_L193_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H399 ].
% 83.92/84.05 apply (zenon_L198_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H39a ].
% 83.92/84.05 apply (zenon_L204_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H39b ].
% 83.92/84.05 apply (zenon_L206_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H39c ].
% 83.92/84.05 apply (zenon_L209_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H2ce | zenon_intro zenon_H39d ].
% 83.92/84.05 apply (zenon_L220_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2e6 ].
% 83.92/84.05 apply (zenon_L222_); trivial.
% 83.92/84.05 apply (zenon_L227_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H804); [ zenon_intro zenon_H2f2 | zenon_intro zenon_H808 ].
% 83.92/84.05 apply (zenon_L231_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H808); [ zenon_intro zenon_H2ff | zenon_intro zenon_H809 ].
% 83.92/84.05 apply (zenon_L239_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H809); [ zenon_intro zenon_H315 | zenon_intro zenon_H80a ].
% 83.92/84.05 apply (zenon_L248_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80a); [ zenon_intro zenon_H319 | zenon_intro zenon_H80b ].
% 83.92/84.05 apply (zenon_L249_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80b); [ zenon_intro zenon_H333 | zenon_intro zenon_H80c ].
% 83.92/84.05 apply (zenon_L258_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80c); [ zenon_intro zenon_H344 | zenon_intro zenon_H80d ].
% 83.92/84.05 apply (zenon_L267_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80d); [ zenon_intro zenon_H37c | zenon_intro zenon_H80e ].
% 83.92/84.05 apply (zenon_L316_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80e); [ zenon_intro zenon_H3cd | zenon_intro zenon_H80f ].
% 83.92/84.05 apply (zenon_L395_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80f); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H810 ].
% 83.92/84.05 apply (zenon_L396_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H810); [ zenon_intro zenon_H3ff | zenon_intro zenon_H811 ].
% 83.92/84.05 apply (zenon_L431_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H811); [ zenon_intro zenon_H416 | zenon_intro zenon_H812 ].
% 83.92/84.05 apply (zenon_L438_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H812); [ zenon_intro zenon_H431 | zenon_intro zenon_H813 ].
% 83.92/84.05 apply (zenon_L489_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H813); [ zenon_intro zenon_H44a | zenon_intro zenon_H44d ].
% 83.92/84.05 apply (zenon_L505_); trivial.
% 83.92/84.05 apply (zenon_L506_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H5bd); [ zenon_intro zenon_H5c1 | zenon_intro zenon_H5c0 ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H5c1). zenon_intro zenon_H463. zenon_intro zenon_H5c2.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H7dc); [ zenon_intro zenon_H9c | zenon_intro zenon_H803 ].
% 83.92/84.05 apply (zenon_L38_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H803); [ zenon_intro zenon_H805 | zenon_intro zenon_H804 ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H805). zenon_intro zenon_H807. zenon_intro zenon_H806.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H806). zenon_intro zenon_H16b. zenon_intro zenon_H1c2.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H380 | zenon_intro zenon_H37f ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H1a. zenon_intro zenon_H381.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H9e. zenon_intro zenon_H382.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H384. zenon_intro zenon_H383.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H1e0. zenon_intro zenon_H385.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L520_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L982_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H23c | zenon_intro zenon_H386 ].
% 83.92/84.05 apply (zenon_L150_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H388 | zenon_intro zenon_H387 ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H388). zenon_intro zenon_H245. zenon_intro zenon_H389.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L520_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L984_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H38b | zenon_intro zenon_H38a ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H38b). zenon_intro zenon_H253. zenon_intro zenon_H38c.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H38c). zenon_intro zenon_H3d1. zenon_intro zenon_H3d0.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H3d0). zenon_intro zenon_H24d. zenon_intro zenon_H3d2.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L520_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L986_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H38e | zenon_intro zenon_H38d ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_H260. zenon_intro zenon_H38f.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L520_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L988_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H391 | zenon_intro zenon_H390 ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H22a. zenon_intro zenon_H392.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H394. zenon_intro zenon_H393.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H266. zenon_intro zenon_H395.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L520_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L990_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H275 | zenon_intro zenon_H396 ].
% 83.92/84.05 apply (zenon_L184_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H281 | zenon_intro zenon_H397 ].
% 83.92/84.05 apply (zenon_L189_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H294 | zenon_intro zenon_H398 ].
% 83.92/84.05 apply (zenon_L193_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H399 ].
% 83.92/84.05 apply (zenon_L198_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H39a ].
% 83.92/84.05 apply (zenon_L204_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H39b ].
% 83.92/84.05 apply (zenon_L206_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H39c ].
% 83.92/84.05 apply (zenon_L209_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H2ce | zenon_intro zenon_H39d ].
% 83.92/84.05 apply (zenon_L220_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2e6 ].
% 83.92/84.05 apply (zenon_L222_); trivial.
% 83.92/84.05 apply (zenon_L227_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H804); [ zenon_intro zenon_H2f2 | zenon_intro zenon_H808 ].
% 83.92/84.05 apply (zenon_L231_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H808); [ zenon_intro zenon_H2ff | zenon_intro zenon_H809 ].
% 83.92/84.05 apply (zenon_L239_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H809); [ zenon_intro zenon_H315 | zenon_intro zenon_H80a ].
% 83.92/84.05 apply (zenon_L248_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80a); [ zenon_intro zenon_H319 | zenon_intro zenon_H80b ].
% 83.92/84.05 apply (zenon_L249_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80b); [ zenon_intro zenon_H333 | zenon_intro zenon_H80c ].
% 83.92/84.05 apply (zenon_L258_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80c); [ zenon_intro zenon_H344 | zenon_intro zenon_H80d ].
% 83.92/84.05 apply (zenon_L267_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80d); [ zenon_intro zenon_H37c | zenon_intro zenon_H80e ].
% 83.92/84.05 apply (zenon_L316_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80e); [ zenon_intro zenon_H3cd | zenon_intro zenon_H80f ].
% 83.92/84.05 apply (zenon_L395_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80f); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H810 ].
% 83.92/84.05 apply (zenon_L396_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H810); [ zenon_intro zenon_H3ff | zenon_intro zenon_H811 ].
% 83.92/84.05 apply (zenon_L431_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H811); [ zenon_intro zenon_H416 | zenon_intro zenon_H812 ].
% 83.92/84.05 apply (zenon_L438_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H812); [ zenon_intro zenon_H431 | zenon_intro zenon_H813 ].
% 83.92/84.05 apply (zenon_L489_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H813); [ zenon_intro zenon_H44a | zenon_intro zenon_H44d ].
% 83.92/84.05 apply (zenon_L505_); trivial.
% 83.92/84.05 apply (zenon_L506_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H5c0); [ zenon_intro zenon_H5c4 | zenon_intro zenon_H5c3 ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H5c4). zenon_intro zenon_H467. zenon_intro zenon_H5c5.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H7dc); [ zenon_intro zenon_H9c | zenon_intro zenon_H803 ].
% 83.92/84.05 apply (zenon_L38_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H803); [ zenon_intro zenon_H805 | zenon_intro zenon_H804 ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H805). zenon_intro zenon_H807. zenon_intro zenon_H806.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H806). zenon_intro zenon_H16b. zenon_intro zenon_H1c2.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H380 | zenon_intro zenon_H37f ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H1a. zenon_intro zenon_H381.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H9e. zenon_intro zenon_H382.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H384. zenon_intro zenon_H383.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H1e0. zenon_intro zenon_H385.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L522_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L982_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H23c | zenon_intro zenon_H386 ].
% 83.92/84.05 apply (zenon_L150_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H388 | zenon_intro zenon_H387 ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H388). zenon_intro zenon_H245. zenon_intro zenon_H389.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L522_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L984_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H38b | zenon_intro zenon_H38a ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H38b). zenon_intro zenon_H253. zenon_intro zenon_H38c.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H38c). zenon_intro zenon_H3d1. zenon_intro zenon_H3d0.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H3d0). zenon_intro zenon_H24d. zenon_intro zenon_H3d2.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L522_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L986_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H38e | zenon_intro zenon_H38d ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_H260. zenon_intro zenon_H38f.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L522_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L988_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H391 | zenon_intro zenon_H390 ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H22a. zenon_intro zenon_H392.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H394. zenon_intro zenon_H393.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H266. zenon_intro zenon_H395.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L522_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L990_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H275 | zenon_intro zenon_H396 ].
% 83.92/84.05 apply (zenon_L184_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H281 | zenon_intro zenon_H397 ].
% 83.92/84.05 apply (zenon_L189_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H294 | zenon_intro zenon_H398 ].
% 83.92/84.05 apply (zenon_L193_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H399 ].
% 83.92/84.05 apply (zenon_L198_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H39a ].
% 83.92/84.05 apply (zenon_L204_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H39b ].
% 83.92/84.05 apply (zenon_L206_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H39c ].
% 83.92/84.05 apply (zenon_L209_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H2ce | zenon_intro zenon_H39d ].
% 83.92/84.05 apply (zenon_L220_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2e6 ].
% 83.92/84.05 apply (zenon_L222_); trivial.
% 83.92/84.05 apply (zenon_L227_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H804); [ zenon_intro zenon_H2f2 | zenon_intro zenon_H808 ].
% 83.92/84.05 apply (zenon_L231_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H808); [ zenon_intro zenon_H2ff | zenon_intro zenon_H809 ].
% 83.92/84.05 apply (zenon_L239_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H809); [ zenon_intro zenon_H315 | zenon_intro zenon_H80a ].
% 83.92/84.05 apply (zenon_L248_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80a); [ zenon_intro zenon_H319 | zenon_intro zenon_H80b ].
% 83.92/84.05 apply (zenon_L249_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80b); [ zenon_intro zenon_H333 | zenon_intro zenon_H80c ].
% 83.92/84.05 apply (zenon_L258_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80c); [ zenon_intro zenon_H344 | zenon_intro zenon_H80d ].
% 83.92/84.05 apply (zenon_L267_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80d); [ zenon_intro zenon_H37c | zenon_intro zenon_H80e ].
% 83.92/84.05 apply (zenon_L316_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80e); [ zenon_intro zenon_H3cd | zenon_intro zenon_H80f ].
% 83.92/84.05 apply (zenon_L395_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80f); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H810 ].
% 83.92/84.05 apply (zenon_L396_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H810); [ zenon_intro zenon_H3ff | zenon_intro zenon_H811 ].
% 83.92/84.05 apply (zenon_L431_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H811); [ zenon_intro zenon_H416 | zenon_intro zenon_H812 ].
% 83.92/84.05 apply (zenon_L438_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H812); [ zenon_intro zenon_H431 | zenon_intro zenon_H813 ].
% 83.92/84.05 apply (zenon_L489_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H813); [ zenon_intro zenon_H44a | zenon_intro zenon_H44d ].
% 83.92/84.05 apply (zenon_L505_); trivial.
% 83.92/84.05 apply (zenon_L506_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H5c3); [ zenon_intro zenon_H5c7 | zenon_intro zenon_H5c6 ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H5c7). zenon_intro zenon_H473. zenon_intro zenon_H5c8.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H5c8). zenon_intro zenon_H5ca. zenon_intro zenon_H5c9.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H5c9). zenon_intro zenon_H46d. zenon_intro zenon_H5cb.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H7dc); [ zenon_intro zenon_H9c | zenon_intro zenon_H803 ].
% 83.92/84.05 apply (zenon_L38_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H803); [ zenon_intro zenon_H805 | zenon_intro zenon_H804 ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H805). zenon_intro zenon_H807. zenon_intro zenon_H806.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H806). zenon_intro zenon_H16b. zenon_intro zenon_H1c2.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H380 | zenon_intro zenon_H37f ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H1a. zenon_intro zenon_H381.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H9e. zenon_intro zenon_H382.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H384. zenon_intro zenon_H383.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H1e0. zenon_intro zenon_H385.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L526_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L982_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H23c | zenon_intro zenon_H386 ].
% 83.92/84.05 apply (zenon_L150_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H388 | zenon_intro zenon_H387 ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H388). zenon_intro zenon_H245. zenon_intro zenon_H389.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L526_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L984_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H38b | zenon_intro zenon_H38a ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H38b). zenon_intro zenon_H253. zenon_intro zenon_H38c.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H38c). zenon_intro zenon_H3d1. zenon_intro zenon_H3d0.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H3d0). zenon_intro zenon_H24d. zenon_intro zenon_H3d2.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L526_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L986_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H38e | zenon_intro zenon_H38d ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_H260. zenon_intro zenon_H38f.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L526_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L988_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H391 | zenon_intro zenon_H390 ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H22a. zenon_intro zenon_H392.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H394. zenon_intro zenon_H393.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H266. zenon_intro zenon_H395.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L526_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L990_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H275 | zenon_intro zenon_H396 ].
% 83.92/84.05 apply (zenon_L184_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H281 | zenon_intro zenon_H397 ].
% 83.92/84.05 apply (zenon_L189_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H294 | zenon_intro zenon_H398 ].
% 83.92/84.05 apply (zenon_L193_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H399 ].
% 83.92/84.05 apply (zenon_L198_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H39a ].
% 83.92/84.05 apply (zenon_L204_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H39b ].
% 83.92/84.05 apply (zenon_L206_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H39c ].
% 83.92/84.05 apply (zenon_L209_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H2ce | zenon_intro zenon_H39d ].
% 83.92/84.05 apply (zenon_L220_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2e6 ].
% 83.92/84.05 apply (zenon_L222_); trivial.
% 83.92/84.05 apply (zenon_L227_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H804); [ zenon_intro zenon_H2f2 | zenon_intro zenon_H808 ].
% 83.92/84.05 apply (zenon_L231_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H808); [ zenon_intro zenon_H2ff | zenon_intro zenon_H809 ].
% 83.92/84.05 apply (zenon_L239_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H809); [ zenon_intro zenon_H315 | zenon_intro zenon_H80a ].
% 83.92/84.05 apply (zenon_L248_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80a); [ zenon_intro zenon_H319 | zenon_intro zenon_H80b ].
% 83.92/84.05 apply (zenon_L249_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80b); [ zenon_intro zenon_H333 | zenon_intro zenon_H80c ].
% 83.92/84.05 apply (zenon_L258_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80c); [ zenon_intro zenon_H344 | zenon_intro zenon_H80d ].
% 83.92/84.05 apply (zenon_L267_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80d); [ zenon_intro zenon_H37c | zenon_intro zenon_H80e ].
% 83.92/84.05 apply (zenon_L316_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80e); [ zenon_intro zenon_H3cd | zenon_intro zenon_H80f ].
% 83.92/84.05 apply (zenon_L395_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80f); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H810 ].
% 83.92/84.05 apply (zenon_L396_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H810); [ zenon_intro zenon_H3ff | zenon_intro zenon_H811 ].
% 83.92/84.05 apply (zenon_L431_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H811); [ zenon_intro zenon_H416 | zenon_intro zenon_H812 ].
% 83.92/84.05 apply (zenon_L438_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H812); [ zenon_intro zenon_H431 | zenon_intro zenon_H813 ].
% 83.92/84.05 apply (zenon_L489_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H813); [ zenon_intro zenon_H44a | zenon_intro zenon_H44d ].
% 83.92/84.05 apply (zenon_L505_); trivial.
% 83.92/84.05 apply (zenon_L506_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H5c6); [ zenon_intro zenon_H48c | zenon_intro zenon_H5cc ].
% 83.92/84.05 apply (zenon_L544_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H5cc); [ zenon_intro zenon_H4a3 | zenon_intro zenon_H5cd ].
% 83.92/84.05 apply (zenon_L550_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H5cd); [ zenon_intro zenon_H4b0 | zenon_intro zenon_H5ce ].
% 83.92/84.05 apply (zenon_L556_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H5ce); [ zenon_intro zenon_H4bf | zenon_intro zenon_H5cf ].
% 83.92/84.05 apply (zenon_L564_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H5cf); [ zenon_intro zenon_H4d8 | zenon_intro zenon_H5d0 ].
% 83.92/84.05 apply (zenon_L573_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H5d0); [ zenon_intro zenon_H4e4 | zenon_intro zenon_H5d1 ].
% 83.92/84.05 apply (zenon_L575_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H5d1); [ zenon_intro zenon_H4e7 | zenon_intro zenon_H5d2 ].
% 83.92/84.05 apply (zenon_L578_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H5d2); [ zenon_intro zenon_H4f0 | zenon_intro zenon_H5d3 ].
% 83.92/84.05 apply (zenon_L587_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H5d3); [ zenon_intro zenon_H4f9 | zenon_intro zenon_H521 ].
% 83.92/84.05 apply (zenon_L590_); trivial.
% 83.92/84.05 apply (zenon_L615_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H7ff); [ zenon_intro zenon_H52c | zenon_intro zenon_H814 ].
% 83.92/84.05 apply (zenon_L631_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H814); [ zenon_intro zenon_H536 | zenon_intro zenon_H815 ].
% 83.92/84.05 apply (zenon_L637_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H815); [ zenon_intro zenon_H54e | zenon_intro zenon_H816 ].
% 83.92/84.05 apply (zenon_L650_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H816); [ zenon_intro zenon_H550 | zenon_intro zenon_H817 ].
% 83.92/84.05 apply (zenon_L651_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H817); [ zenon_intro zenon_H56b | zenon_intro zenon_H818 ].
% 83.92/84.05 apply (zenon_L678_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H818); [ zenon_intro zenon_H58a | zenon_intro zenon_H819 ].
% 83.92/84.05 apply (zenon_L721_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H819); [ zenon_intro zenon_H5b2 | zenon_intro zenon_H81a ].
% 83.92/84.05 apply (zenon_L769_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H81a); [ zenon_intro zenon_H604 | zenon_intro zenon_H81b ].
% 83.92/84.05 apply (zenon_L836_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H81b); [ zenon_intro zenon_H615 | zenon_intro zenon_H81c ].
% 83.92/84.05 apply (zenon_L837_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H81c); [ zenon_intro zenon_H634 | zenon_intro zenon_H81d ].
% 83.92/84.05 apply (zenon_L877_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H81d); [ zenon_intro zenon_H647 | zenon_intro zenon_H81e ].
% 83.92/84.05 apply (zenon_L888_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H81e); [ zenon_intro zenon_H662 | zenon_intro zenon_H81f ].
% 83.92/84.05 apply (zenon_L943_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H81f); [ zenon_intro zenon_H677 | zenon_intro zenon_H67a ].
% 83.92/84.05 apply (zenon_L965_); trivial.
% 83.92/84.05 apply (zenon_L966_); trivial.
% 83.92/84.05 apply (zenon_notand_s _ _ zenon_H821); [ zenon_intro zenon_H699 | zenon_intro zenon_H822 ].
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H7dd); [ zenon_intro zenon_H97 | zenon_intro zenon_H7fe ].
% 83.92/84.05 apply (zenon_L37_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H7fe); [ zenon_intro zenon_H800 | zenon_intro zenon_H7ff ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H800). zenon_intro zenon_H802. zenon_intro zenon_H801.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H801). zenon_intro zenon_Hba. zenon_intro zenon_H14b.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H5b3); [ zenon_intro zenon_H5b6 | zenon_intro zenon_H5b5 ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H5b6). zenon_intro zenon_Hb5. zenon_intro zenon_H5b7.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H5b7). zenon_intro zenon_H99. zenon_intro zenon_H5b8.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H5b8). zenon_intro zenon_H5ba. zenon_intro zenon_H5b9.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H5b9). zenon_intro zenon_H155. zenon_intro zenon_H5bb.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H7dc); [ zenon_intro zenon_H9c | zenon_intro zenon_H803 ].
% 83.92/84.05 apply (zenon_L38_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H803); [ zenon_intro zenon_H805 | zenon_intro zenon_H804 ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H805). zenon_intro zenon_H807. zenon_intro zenon_H806.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H806). zenon_intro zenon_H16b. zenon_intro zenon_H1c2.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H380 | zenon_intro zenon_H37f ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H1a. zenon_intro zenon_H381.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H9e. zenon_intro zenon_H382.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H384. zenon_intro zenon_H383.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H1e0. zenon_intro zenon_H385.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L89_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L993_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H23c | zenon_intro zenon_H386 ].
% 83.92/84.05 apply (zenon_L150_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H388 | zenon_intro zenon_H387 ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H388). zenon_intro zenon_H245. zenon_intro zenon_H389.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L89_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L995_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H38b | zenon_intro zenon_H38a ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H38b). zenon_intro zenon_H253. zenon_intro zenon_H38c.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H38c). zenon_intro zenon_H3d1. zenon_intro zenon_H3d0.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H3d0). zenon_intro zenon_H24d. zenon_intro zenon_H3d2.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L89_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L997_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H38e | zenon_intro zenon_H38d ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_H260. zenon_intro zenon_H38f.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L89_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L999_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H391 | zenon_intro zenon_H390 ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H22a. zenon_intro zenon_H392.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H394. zenon_intro zenon_H393.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H266. zenon_intro zenon_H395.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L89_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L1000_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H275 | zenon_intro zenon_H396 ].
% 83.92/84.05 apply (zenon_L184_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H281 | zenon_intro zenon_H397 ].
% 83.92/84.05 apply (zenon_L189_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H294 | zenon_intro zenon_H398 ].
% 83.92/84.05 apply (zenon_L193_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H399 ].
% 83.92/84.05 apply (zenon_L198_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H39a ].
% 83.92/84.05 apply (zenon_L204_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H39b ].
% 83.92/84.05 apply (zenon_L206_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H39c ].
% 83.92/84.05 apply (zenon_L209_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H2ce | zenon_intro zenon_H39d ].
% 83.92/84.05 apply (zenon_L220_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2e6 ].
% 83.92/84.05 apply (zenon_L222_); trivial.
% 83.92/84.05 apply (zenon_L227_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H804); [ zenon_intro zenon_H2f2 | zenon_intro zenon_H808 ].
% 83.92/84.05 apply (zenon_L231_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H808); [ zenon_intro zenon_H2ff | zenon_intro zenon_H809 ].
% 83.92/84.05 apply (zenon_L239_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H809); [ zenon_intro zenon_H315 | zenon_intro zenon_H80a ].
% 83.92/84.05 apply (zenon_L248_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80a); [ zenon_intro zenon_H319 | zenon_intro zenon_H80b ].
% 83.92/84.05 apply (zenon_L249_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80b); [ zenon_intro zenon_H333 | zenon_intro zenon_H80c ].
% 83.92/84.05 apply (zenon_L258_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80c); [ zenon_intro zenon_H344 | zenon_intro zenon_H80d ].
% 83.92/84.05 apply (zenon_L267_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80d); [ zenon_intro zenon_H37c | zenon_intro zenon_H80e ].
% 83.92/84.05 apply (zenon_L316_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80e); [ zenon_intro zenon_H3cd | zenon_intro zenon_H80f ].
% 83.92/84.05 apply (zenon_L395_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80f); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H810 ].
% 83.92/84.05 apply (zenon_L396_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H810); [ zenon_intro zenon_H3ff | zenon_intro zenon_H811 ].
% 83.92/84.05 apply (zenon_L431_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H811); [ zenon_intro zenon_H416 | zenon_intro zenon_H812 ].
% 83.92/84.05 apply (zenon_L438_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H812); [ zenon_intro zenon_H431 | zenon_intro zenon_H813 ].
% 83.92/84.05 apply (zenon_L489_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H813); [ zenon_intro zenon_H44a | zenon_intro zenon_H44d ].
% 83.92/84.05 apply (zenon_L505_); trivial.
% 83.92/84.05 apply (zenon_L506_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H5b5); [ zenon_intro zenon_H456 | zenon_intro zenon_H5bc ].
% 83.92/84.05 apply (zenon_L509_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H5bc); [ zenon_intro zenon_H5be | zenon_intro zenon_H5bd ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H5be). zenon_intro zenon_H45b. zenon_intro zenon_H5bf.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H7dc); [ zenon_intro zenon_H9c | zenon_intro zenon_H803 ].
% 83.92/84.05 apply (zenon_L38_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H803); [ zenon_intro zenon_H805 | zenon_intro zenon_H804 ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H805). zenon_intro zenon_H807. zenon_intro zenon_H806.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H806). zenon_intro zenon_H16b. zenon_intro zenon_H1c2.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H380 | zenon_intro zenon_H37f ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H1a. zenon_intro zenon_H381.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H9e. zenon_intro zenon_H382.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H384. zenon_intro zenon_H383.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H1e0. zenon_intro zenon_H385.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L511_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L993_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H23c | zenon_intro zenon_H386 ].
% 83.92/84.05 apply (zenon_L150_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H388 | zenon_intro zenon_H387 ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H388). zenon_intro zenon_H245. zenon_intro zenon_H389.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L511_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L995_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H38b | zenon_intro zenon_H38a ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H38b). zenon_intro zenon_H253. zenon_intro zenon_H38c.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H38c). zenon_intro zenon_H3d1. zenon_intro zenon_H3d0.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H3d0). zenon_intro zenon_H24d. zenon_intro zenon_H3d2.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L511_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L997_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H38e | zenon_intro zenon_H38d ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_H260. zenon_intro zenon_H38f.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L511_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L999_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H391 | zenon_intro zenon_H390 ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H22a. zenon_intro zenon_H392.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H394. zenon_intro zenon_H393.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H266. zenon_intro zenon_H395.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L511_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L1000_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H275 | zenon_intro zenon_H396 ].
% 83.92/84.05 apply (zenon_L184_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H281 | zenon_intro zenon_H397 ].
% 83.92/84.05 apply (zenon_L189_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H294 | zenon_intro zenon_H398 ].
% 83.92/84.05 apply (zenon_L193_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H399 ].
% 83.92/84.05 apply (zenon_L198_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H39a ].
% 83.92/84.05 apply (zenon_L204_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H39b ].
% 83.92/84.05 apply (zenon_L206_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H39c ].
% 83.92/84.05 apply (zenon_L209_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H2ce | zenon_intro zenon_H39d ].
% 83.92/84.05 apply (zenon_L220_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2e6 ].
% 83.92/84.05 apply (zenon_L222_); trivial.
% 83.92/84.05 apply (zenon_L227_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H804); [ zenon_intro zenon_H2f2 | zenon_intro zenon_H808 ].
% 83.92/84.05 apply (zenon_L231_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H808); [ zenon_intro zenon_H2ff | zenon_intro zenon_H809 ].
% 83.92/84.05 apply (zenon_L239_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H809); [ zenon_intro zenon_H315 | zenon_intro zenon_H80a ].
% 83.92/84.05 apply (zenon_L248_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80a); [ zenon_intro zenon_H319 | zenon_intro zenon_H80b ].
% 83.92/84.05 apply (zenon_L249_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80b); [ zenon_intro zenon_H333 | zenon_intro zenon_H80c ].
% 83.92/84.05 apply (zenon_L258_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80c); [ zenon_intro zenon_H344 | zenon_intro zenon_H80d ].
% 83.92/84.05 apply (zenon_L267_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80d); [ zenon_intro zenon_H37c | zenon_intro zenon_H80e ].
% 83.92/84.05 apply (zenon_L316_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80e); [ zenon_intro zenon_H3cd | zenon_intro zenon_H80f ].
% 83.92/84.05 apply (zenon_L395_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80f); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H810 ].
% 83.92/84.05 apply (zenon_L396_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H810); [ zenon_intro zenon_H3ff | zenon_intro zenon_H811 ].
% 83.92/84.05 apply (zenon_L431_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H811); [ zenon_intro zenon_H416 | zenon_intro zenon_H812 ].
% 83.92/84.05 apply (zenon_L438_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H812); [ zenon_intro zenon_H431 | zenon_intro zenon_H813 ].
% 83.92/84.05 apply (zenon_L489_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H813); [ zenon_intro zenon_H44a | zenon_intro zenon_H44d ].
% 83.92/84.05 apply (zenon_L505_); trivial.
% 83.92/84.05 apply (zenon_L506_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H5bd); [ zenon_intro zenon_H5c1 | zenon_intro zenon_H5c0 ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H5c1). zenon_intro zenon_H463. zenon_intro zenon_H5c2.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H7dc); [ zenon_intro zenon_H9c | zenon_intro zenon_H803 ].
% 83.92/84.05 apply (zenon_L38_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H803); [ zenon_intro zenon_H805 | zenon_intro zenon_H804 ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H805). zenon_intro zenon_H807. zenon_intro zenon_H806.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H806). zenon_intro zenon_H16b. zenon_intro zenon_H1c2.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H380 | zenon_intro zenon_H37f ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H1a. zenon_intro zenon_H381.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H9e. zenon_intro zenon_H382.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H384. zenon_intro zenon_H383.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H1e0. zenon_intro zenon_H385.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L520_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L993_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H23c | zenon_intro zenon_H386 ].
% 83.92/84.05 apply (zenon_L150_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H388 | zenon_intro zenon_H387 ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H388). zenon_intro zenon_H245. zenon_intro zenon_H389.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L520_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L995_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H38b | zenon_intro zenon_H38a ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H38b). zenon_intro zenon_H253. zenon_intro zenon_H38c.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H38c). zenon_intro zenon_H3d1. zenon_intro zenon_H3d0.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H3d0). zenon_intro zenon_H24d. zenon_intro zenon_H3d2.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L520_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L997_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H38e | zenon_intro zenon_H38d ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_H260. zenon_intro zenon_H38f.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L520_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L999_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H391 | zenon_intro zenon_H390 ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H22a. zenon_intro zenon_H392.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H394. zenon_intro zenon_H393.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H266. zenon_intro zenon_H395.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L520_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L1000_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H275 | zenon_intro zenon_H396 ].
% 83.92/84.05 apply (zenon_L184_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H281 | zenon_intro zenon_H397 ].
% 83.92/84.05 apply (zenon_L189_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H294 | zenon_intro zenon_H398 ].
% 83.92/84.05 apply (zenon_L193_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H399 ].
% 83.92/84.05 apply (zenon_L198_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H39a ].
% 83.92/84.05 apply (zenon_L204_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H39b ].
% 83.92/84.05 apply (zenon_L206_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H39c ].
% 83.92/84.05 apply (zenon_L209_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H2ce | zenon_intro zenon_H39d ].
% 83.92/84.05 apply (zenon_L220_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2e6 ].
% 83.92/84.05 apply (zenon_L222_); trivial.
% 83.92/84.05 apply (zenon_L227_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H804); [ zenon_intro zenon_H2f2 | zenon_intro zenon_H808 ].
% 83.92/84.05 apply (zenon_L231_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H808); [ zenon_intro zenon_H2ff | zenon_intro zenon_H809 ].
% 83.92/84.05 apply (zenon_L239_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H809); [ zenon_intro zenon_H315 | zenon_intro zenon_H80a ].
% 83.92/84.05 apply (zenon_L248_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80a); [ zenon_intro zenon_H319 | zenon_intro zenon_H80b ].
% 83.92/84.05 apply (zenon_L249_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80b); [ zenon_intro zenon_H333 | zenon_intro zenon_H80c ].
% 83.92/84.05 apply (zenon_L258_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80c); [ zenon_intro zenon_H344 | zenon_intro zenon_H80d ].
% 83.92/84.05 apply (zenon_L267_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80d); [ zenon_intro zenon_H37c | zenon_intro zenon_H80e ].
% 83.92/84.05 apply (zenon_L316_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80e); [ zenon_intro zenon_H3cd | zenon_intro zenon_H80f ].
% 83.92/84.05 apply (zenon_L395_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80f); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H810 ].
% 83.92/84.05 apply (zenon_L396_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H810); [ zenon_intro zenon_H3ff | zenon_intro zenon_H811 ].
% 83.92/84.05 apply (zenon_L431_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H811); [ zenon_intro zenon_H416 | zenon_intro zenon_H812 ].
% 83.92/84.05 apply (zenon_L438_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H812); [ zenon_intro zenon_H431 | zenon_intro zenon_H813 ].
% 83.92/84.05 apply (zenon_L489_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H813); [ zenon_intro zenon_H44a | zenon_intro zenon_H44d ].
% 83.92/84.05 apply (zenon_L505_); trivial.
% 83.92/84.05 apply (zenon_L506_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H5c0); [ zenon_intro zenon_H5c4 | zenon_intro zenon_H5c3 ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H5c4). zenon_intro zenon_H467. zenon_intro zenon_H5c5.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H7dc); [ zenon_intro zenon_H9c | zenon_intro zenon_H803 ].
% 83.92/84.05 apply (zenon_L38_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H803); [ zenon_intro zenon_H805 | zenon_intro zenon_H804 ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H805). zenon_intro zenon_H807. zenon_intro zenon_H806.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H806). zenon_intro zenon_H16b. zenon_intro zenon_H1c2.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H380 | zenon_intro zenon_H37f ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H1a. zenon_intro zenon_H381.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H9e. zenon_intro zenon_H382.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H384. zenon_intro zenon_H383.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H1e0. zenon_intro zenon_H385.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L522_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L993_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H23c | zenon_intro zenon_H386 ].
% 83.92/84.05 apply (zenon_L150_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H388 | zenon_intro zenon_H387 ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H388). zenon_intro zenon_H245. zenon_intro zenon_H389.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L522_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L995_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H38b | zenon_intro zenon_H38a ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H38b). zenon_intro zenon_H253. zenon_intro zenon_H38c.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H38c). zenon_intro zenon_H3d1. zenon_intro zenon_H3d0.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H3d0). zenon_intro zenon_H24d. zenon_intro zenon_H3d2.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L522_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L997_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H38e | zenon_intro zenon_H38d ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_H260. zenon_intro zenon_H38f.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L522_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L999_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H391 | zenon_intro zenon_H390 ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H22a. zenon_intro zenon_H392.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H394. zenon_intro zenon_H393.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H266. zenon_intro zenon_H395.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L522_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L1000_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H275 | zenon_intro zenon_H396 ].
% 83.92/84.05 apply (zenon_L184_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H281 | zenon_intro zenon_H397 ].
% 83.92/84.05 apply (zenon_L189_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H294 | zenon_intro zenon_H398 ].
% 83.92/84.05 apply (zenon_L193_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H399 ].
% 83.92/84.05 apply (zenon_L198_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H39a ].
% 83.92/84.05 apply (zenon_L204_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H39b ].
% 83.92/84.05 apply (zenon_L206_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H39c ].
% 83.92/84.05 apply (zenon_L209_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H2ce | zenon_intro zenon_H39d ].
% 83.92/84.05 apply (zenon_L220_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2e6 ].
% 83.92/84.05 apply (zenon_L222_); trivial.
% 83.92/84.05 apply (zenon_L227_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H804); [ zenon_intro zenon_H2f2 | zenon_intro zenon_H808 ].
% 83.92/84.05 apply (zenon_L231_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H808); [ zenon_intro zenon_H2ff | zenon_intro zenon_H809 ].
% 83.92/84.05 apply (zenon_L239_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H809); [ zenon_intro zenon_H315 | zenon_intro zenon_H80a ].
% 83.92/84.05 apply (zenon_L248_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80a); [ zenon_intro zenon_H319 | zenon_intro zenon_H80b ].
% 83.92/84.05 apply (zenon_L249_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80b); [ zenon_intro zenon_H333 | zenon_intro zenon_H80c ].
% 83.92/84.05 apply (zenon_L258_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80c); [ zenon_intro zenon_H344 | zenon_intro zenon_H80d ].
% 83.92/84.05 apply (zenon_L267_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80d); [ zenon_intro zenon_H37c | zenon_intro zenon_H80e ].
% 83.92/84.05 apply (zenon_L316_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80e); [ zenon_intro zenon_H3cd | zenon_intro zenon_H80f ].
% 83.92/84.05 apply (zenon_L395_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80f); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H810 ].
% 83.92/84.05 apply (zenon_L396_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H810); [ zenon_intro zenon_H3ff | zenon_intro zenon_H811 ].
% 83.92/84.05 apply (zenon_L431_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H811); [ zenon_intro zenon_H416 | zenon_intro zenon_H812 ].
% 83.92/84.05 apply (zenon_L438_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H812); [ zenon_intro zenon_H431 | zenon_intro zenon_H813 ].
% 83.92/84.05 apply (zenon_L489_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H813); [ zenon_intro zenon_H44a | zenon_intro zenon_H44d ].
% 83.92/84.05 apply (zenon_L505_); trivial.
% 83.92/84.05 apply (zenon_L506_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H5c3); [ zenon_intro zenon_H5c7 | zenon_intro zenon_H5c6 ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H5c7). zenon_intro zenon_H473. zenon_intro zenon_H5c8.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H5c8). zenon_intro zenon_H5ca. zenon_intro zenon_H5c9.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H5c9). zenon_intro zenon_H46d. zenon_intro zenon_H5cb.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H7dc); [ zenon_intro zenon_H9c | zenon_intro zenon_H803 ].
% 83.92/84.05 apply (zenon_L38_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H803); [ zenon_intro zenon_H805 | zenon_intro zenon_H804 ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H805). zenon_intro zenon_H807. zenon_intro zenon_H806.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H806). zenon_intro zenon_H16b. zenon_intro zenon_H1c2.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H380 | zenon_intro zenon_H37f ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H1a. zenon_intro zenon_H381.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H9e. zenon_intro zenon_H382.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H384. zenon_intro zenon_H383.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H1e0. zenon_intro zenon_H385.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L526_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L993_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H23c | zenon_intro zenon_H386 ].
% 83.92/84.05 apply (zenon_L150_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H388 | zenon_intro zenon_H387 ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H388). zenon_intro zenon_H245. zenon_intro zenon_H389.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L526_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L995_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H38b | zenon_intro zenon_H38a ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H38b). zenon_intro zenon_H253. zenon_intro zenon_H38c.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H38c). zenon_intro zenon_H3d1. zenon_intro zenon_H3d0.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H3d0). zenon_intro zenon_H24d. zenon_intro zenon_H3d2.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L526_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L997_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H38e | zenon_intro zenon_H38d ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_H260. zenon_intro zenon_H38f.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L526_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L999_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H391 | zenon_intro zenon_H390 ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H22a. zenon_intro zenon_H392.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H394. zenon_intro zenon_H393.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H266. zenon_intro zenon_H395.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L526_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L1000_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H275 | zenon_intro zenon_H396 ].
% 83.92/84.05 apply (zenon_L184_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H281 | zenon_intro zenon_H397 ].
% 83.92/84.05 apply (zenon_L189_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H294 | zenon_intro zenon_H398 ].
% 83.92/84.05 apply (zenon_L193_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H399 ].
% 83.92/84.05 apply (zenon_L198_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H39a ].
% 83.92/84.05 apply (zenon_L204_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H39b ].
% 83.92/84.05 apply (zenon_L206_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H39c ].
% 83.92/84.05 apply (zenon_L209_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H2ce | zenon_intro zenon_H39d ].
% 83.92/84.05 apply (zenon_L220_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2e6 ].
% 83.92/84.05 apply (zenon_L222_); trivial.
% 83.92/84.05 apply (zenon_L227_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H804); [ zenon_intro zenon_H2f2 | zenon_intro zenon_H808 ].
% 83.92/84.05 apply (zenon_L231_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H808); [ zenon_intro zenon_H2ff | zenon_intro zenon_H809 ].
% 83.92/84.05 apply (zenon_L239_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H809); [ zenon_intro zenon_H315 | zenon_intro zenon_H80a ].
% 83.92/84.05 apply (zenon_L248_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80a); [ zenon_intro zenon_H319 | zenon_intro zenon_H80b ].
% 83.92/84.05 apply (zenon_L249_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80b); [ zenon_intro zenon_H333 | zenon_intro zenon_H80c ].
% 83.92/84.05 apply (zenon_L258_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80c); [ zenon_intro zenon_H344 | zenon_intro zenon_H80d ].
% 83.92/84.05 apply (zenon_L267_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80d); [ zenon_intro zenon_H37c | zenon_intro zenon_H80e ].
% 83.92/84.05 apply (zenon_L316_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80e); [ zenon_intro zenon_H3cd | zenon_intro zenon_H80f ].
% 83.92/84.05 apply (zenon_L395_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80f); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H810 ].
% 83.92/84.05 apply (zenon_L396_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H810); [ zenon_intro zenon_H3ff | zenon_intro zenon_H811 ].
% 83.92/84.05 apply (zenon_L431_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H811); [ zenon_intro zenon_H416 | zenon_intro zenon_H812 ].
% 83.92/84.05 apply (zenon_L438_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H812); [ zenon_intro zenon_H431 | zenon_intro zenon_H813 ].
% 83.92/84.05 apply (zenon_L489_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H813); [ zenon_intro zenon_H44a | zenon_intro zenon_H44d ].
% 83.92/84.05 apply (zenon_L505_); trivial.
% 83.92/84.05 apply (zenon_L506_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H5c6); [ zenon_intro zenon_H48c | zenon_intro zenon_H5cc ].
% 83.92/84.05 apply (zenon_L544_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H5cc); [ zenon_intro zenon_H4a3 | zenon_intro zenon_H5cd ].
% 83.92/84.05 apply (zenon_L550_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H5cd); [ zenon_intro zenon_H4b0 | zenon_intro zenon_H5ce ].
% 83.92/84.05 apply (zenon_L556_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H5ce); [ zenon_intro zenon_H4bf | zenon_intro zenon_H5cf ].
% 83.92/84.05 apply (zenon_L564_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H5cf); [ zenon_intro zenon_H4d8 | zenon_intro zenon_H5d0 ].
% 83.92/84.05 apply (zenon_L573_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H5d0); [ zenon_intro zenon_H4e4 | zenon_intro zenon_H5d1 ].
% 83.92/84.05 apply (zenon_L575_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H5d1); [ zenon_intro zenon_H4e7 | zenon_intro zenon_H5d2 ].
% 83.92/84.05 apply (zenon_L578_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H5d2); [ zenon_intro zenon_H4f0 | zenon_intro zenon_H5d3 ].
% 83.92/84.05 apply (zenon_L587_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H5d3); [ zenon_intro zenon_H4f9 | zenon_intro zenon_H521 ].
% 83.92/84.05 apply (zenon_L590_); trivial.
% 83.92/84.05 apply (zenon_L615_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H7ff); [ zenon_intro zenon_H52c | zenon_intro zenon_H814 ].
% 83.92/84.05 apply (zenon_L631_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H814); [ zenon_intro zenon_H536 | zenon_intro zenon_H815 ].
% 83.92/84.05 apply (zenon_L637_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H815); [ zenon_intro zenon_H54e | zenon_intro zenon_H816 ].
% 83.92/84.05 apply (zenon_L650_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H816); [ zenon_intro zenon_H550 | zenon_intro zenon_H817 ].
% 83.92/84.05 apply (zenon_L651_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H817); [ zenon_intro zenon_H56b | zenon_intro zenon_H818 ].
% 83.92/84.05 apply (zenon_L678_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H818); [ zenon_intro zenon_H58a | zenon_intro zenon_H819 ].
% 83.92/84.05 apply (zenon_L721_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H819); [ zenon_intro zenon_H5b2 | zenon_intro zenon_H81a ].
% 83.92/84.05 apply (zenon_L769_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H81a); [ zenon_intro zenon_H604 | zenon_intro zenon_H81b ].
% 83.92/84.05 apply (zenon_L836_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H81b); [ zenon_intro zenon_H615 | zenon_intro zenon_H81c ].
% 83.92/84.05 apply (zenon_L837_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H81c); [ zenon_intro zenon_H634 | zenon_intro zenon_H81d ].
% 83.92/84.05 apply (zenon_L877_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H81d); [ zenon_intro zenon_H647 | zenon_intro zenon_H81e ].
% 83.92/84.05 apply (zenon_L888_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H81e); [ zenon_intro zenon_H662 | zenon_intro zenon_H81f ].
% 83.92/84.05 apply (zenon_L943_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H81f); [ zenon_intro zenon_H677 | zenon_intro zenon_H67a ].
% 83.92/84.05 apply (zenon_L965_); trivial.
% 83.92/84.05 apply (zenon_L966_); trivial.
% 83.92/84.05 apply (zenon_notand_s _ _ zenon_H822); [ zenon_intro zenon_H6a6 | zenon_intro zenon_H823 ].
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H7dd); [ zenon_intro zenon_H97 | zenon_intro zenon_H7fe ].
% 83.92/84.05 apply (zenon_L37_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H7fe); [ zenon_intro zenon_H800 | zenon_intro zenon_H7ff ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H800). zenon_intro zenon_H802. zenon_intro zenon_H801.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H801). zenon_intro zenon_Hba. zenon_intro zenon_H14b.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H5b3); [ zenon_intro zenon_H5b6 | zenon_intro zenon_H5b5 ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H5b6). zenon_intro zenon_Hb5. zenon_intro zenon_H5b7.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H5b7). zenon_intro zenon_H99. zenon_intro zenon_H5b8.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H5b8). zenon_intro zenon_H5ba. zenon_intro zenon_H5b9.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H5b9). zenon_intro zenon_H155. zenon_intro zenon_H5bb.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H7dc); [ zenon_intro zenon_H9c | zenon_intro zenon_H803 ].
% 83.92/84.05 apply (zenon_L38_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H803); [ zenon_intro zenon_H805 | zenon_intro zenon_H804 ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H805). zenon_intro zenon_H807. zenon_intro zenon_H806.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H806). zenon_intro zenon_H16b. zenon_intro zenon_H1c2.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H380 | zenon_intro zenon_H37f ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H1a. zenon_intro zenon_H381.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H9e. zenon_intro zenon_H382.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H384. zenon_intro zenon_H383.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H1e0. zenon_intro zenon_H385.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L89_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L1002_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H23c | zenon_intro zenon_H386 ].
% 83.92/84.05 apply (zenon_L150_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H388 | zenon_intro zenon_H387 ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H388). zenon_intro zenon_H245. zenon_intro zenon_H389.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L89_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L1003_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H38b | zenon_intro zenon_H38a ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H38b). zenon_intro zenon_H253. zenon_intro zenon_H38c.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H38c). zenon_intro zenon_H3d1. zenon_intro zenon_H3d0.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H3d0). zenon_intro zenon_H24d. zenon_intro zenon_H3d2.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L89_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L1004_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H38e | zenon_intro zenon_H38d ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_H260. zenon_intro zenon_H38f.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L89_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L1005_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H391 | zenon_intro zenon_H390 ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H22a. zenon_intro zenon_H392.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H394. zenon_intro zenon_H393.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H266. zenon_intro zenon_H395.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L89_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L1006_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H275 | zenon_intro zenon_H396 ].
% 83.92/84.05 apply (zenon_L184_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H281 | zenon_intro zenon_H397 ].
% 83.92/84.05 apply (zenon_L189_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H294 | zenon_intro zenon_H398 ].
% 83.92/84.05 apply (zenon_L193_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H399 ].
% 83.92/84.05 apply (zenon_L198_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H39a ].
% 83.92/84.05 apply (zenon_L204_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H39b ].
% 83.92/84.05 apply (zenon_L206_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H39c ].
% 83.92/84.05 apply (zenon_L209_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H2ce | zenon_intro zenon_H39d ].
% 83.92/84.05 apply (zenon_L220_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2e6 ].
% 83.92/84.05 apply (zenon_L222_); trivial.
% 83.92/84.05 apply (zenon_L227_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H804); [ zenon_intro zenon_H2f2 | zenon_intro zenon_H808 ].
% 83.92/84.05 apply (zenon_L231_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H808); [ zenon_intro zenon_H2ff | zenon_intro zenon_H809 ].
% 83.92/84.05 apply (zenon_L239_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H809); [ zenon_intro zenon_H315 | zenon_intro zenon_H80a ].
% 83.92/84.05 apply (zenon_L248_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80a); [ zenon_intro zenon_H319 | zenon_intro zenon_H80b ].
% 83.92/84.05 apply (zenon_L249_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80b); [ zenon_intro zenon_H333 | zenon_intro zenon_H80c ].
% 83.92/84.05 apply (zenon_L258_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80c); [ zenon_intro zenon_H344 | zenon_intro zenon_H80d ].
% 83.92/84.05 apply (zenon_L267_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80d); [ zenon_intro zenon_H37c | zenon_intro zenon_H80e ].
% 83.92/84.05 apply (zenon_L316_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80e); [ zenon_intro zenon_H3cd | zenon_intro zenon_H80f ].
% 83.92/84.05 apply (zenon_L395_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80f); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H810 ].
% 83.92/84.05 apply (zenon_L396_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H810); [ zenon_intro zenon_H3ff | zenon_intro zenon_H811 ].
% 83.92/84.05 apply (zenon_L431_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H811); [ zenon_intro zenon_H416 | zenon_intro zenon_H812 ].
% 83.92/84.05 apply (zenon_L438_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H812); [ zenon_intro zenon_H431 | zenon_intro zenon_H813 ].
% 83.92/84.05 apply (zenon_L489_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H813); [ zenon_intro zenon_H44a | zenon_intro zenon_H44d ].
% 83.92/84.05 apply (zenon_L505_); trivial.
% 83.92/84.05 apply (zenon_L506_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H5b5); [ zenon_intro zenon_H456 | zenon_intro zenon_H5bc ].
% 83.92/84.05 apply (zenon_L509_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H5bc); [ zenon_intro zenon_H5be | zenon_intro zenon_H5bd ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H5be). zenon_intro zenon_H45b. zenon_intro zenon_H5bf.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H7dc); [ zenon_intro zenon_H9c | zenon_intro zenon_H803 ].
% 83.92/84.05 apply (zenon_L38_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H803); [ zenon_intro zenon_H805 | zenon_intro zenon_H804 ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H805). zenon_intro zenon_H807. zenon_intro zenon_H806.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H806). zenon_intro zenon_H16b. zenon_intro zenon_H1c2.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H380 | zenon_intro zenon_H37f ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H1a. zenon_intro zenon_H381.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H9e. zenon_intro zenon_H382.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H384. zenon_intro zenon_H383.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H1e0. zenon_intro zenon_H385.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L511_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L1002_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H23c | zenon_intro zenon_H386 ].
% 83.92/84.05 apply (zenon_L150_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H388 | zenon_intro zenon_H387 ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H388). zenon_intro zenon_H245. zenon_intro zenon_H389.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L511_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L1003_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H38b | zenon_intro zenon_H38a ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H38b). zenon_intro zenon_H253. zenon_intro zenon_H38c.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H38c). zenon_intro zenon_H3d1. zenon_intro zenon_H3d0.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H3d0). zenon_intro zenon_H24d. zenon_intro zenon_H3d2.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L511_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L1004_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H38e | zenon_intro zenon_H38d ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_H260. zenon_intro zenon_H38f.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L511_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L1005_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H391 | zenon_intro zenon_H390 ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H22a. zenon_intro zenon_H392.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H394. zenon_intro zenon_H393.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H266. zenon_intro zenon_H395.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L511_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L1006_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H275 | zenon_intro zenon_H396 ].
% 83.92/84.05 apply (zenon_L184_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H281 | zenon_intro zenon_H397 ].
% 83.92/84.05 apply (zenon_L189_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H294 | zenon_intro zenon_H398 ].
% 83.92/84.05 apply (zenon_L193_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H399 ].
% 83.92/84.05 apply (zenon_L198_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H39a ].
% 83.92/84.05 apply (zenon_L204_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H39b ].
% 83.92/84.05 apply (zenon_L206_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H39c ].
% 83.92/84.05 apply (zenon_L209_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H2ce | zenon_intro zenon_H39d ].
% 83.92/84.05 apply (zenon_L220_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2e6 ].
% 83.92/84.05 apply (zenon_L222_); trivial.
% 83.92/84.05 apply (zenon_L227_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H804); [ zenon_intro zenon_H2f2 | zenon_intro zenon_H808 ].
% 83.92/84.05 apply (zenon_L231_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H808); [ zenon_intro zenon_H2ff | zenon_intro zenon_H809 ].
% 83.92/84.05 apply (zenon_L239_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H809); [ zenon_intro zenon_H315 | zenon_intro zenon_H80a ].
% 83.92/84.05 apply (zenon_L248_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80a); [ zenon_intro zenon_H319 | zenon_intro zenon_H80b ].
% 83.92/84.05 apply (zenon_L249_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80b); [ zenon_intro zenon_H333 | zenon_intro zenon_H80c ].
% 83.92/84.05 apply (zenon_L258_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80c); [ zenon_intro zenon_H344 | zenon_intro zenon_H80d ].
% 83.92/84.05 apply (zenon_L267_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80d); [ zenon_intro zenon_H37c | zenon_intro zenon_H80e ].
% 83.92/84.05 apply (zenon_L316_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80e); [ zenon_intro zenon_H3cd | zenon_intro zenon_H80f ].
% 83.92/84.05 apply (zenon_L395_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80f); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H810 ].
% 83.92/84.05 apply (zenon_L396_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H810); [ zenon_intro zenon_H3ff | zenon_intro zenon_H811 ].
% 83.92/84.05 apply (zenon_L431_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H811); [ zenon_intro zenon_H416 | zenon_intro zenon_H812 ].
% 83.92/84.05 apply (zenon_L438_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H812); [ zenon_intro zenon_H431 | zenon_intro zenon_H813 ].
% 83.92/84.05 apply (zenon_L489_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H813); [ zenon_intro zenon_H44a | zenon_intro zenon_H44d ].
% 83.92/84.05 apply (zenon_L505_); trivial.
% 83.92/84.05 apply (zenon_L506_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H5bd); [ zenon_intro zenon_H5c1 | zenon_intro zenon_H5c0 ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H5c1). zenon_intro zenon_H463. zenon_intro zenon_H5c2.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H7dc); [ zenon_intro zenon_H9c | zenon_intro zenon_H803 ].
% 83.92/84.05 apply (zenon_L38_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H803); [ zenon_intro zenon_H805 | zenon_intro zenon_H804 ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H805). zenon_intro zenon_H807. zenon_intro zenon_H806.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H806). zenon_intro zenon_H16b. zenon_intro zenon_H1c2.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H380 | zenon_intro zenon_H37f ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H1a. zenon_intro zenon_H381.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H9e. zenon_intro zenon_H382.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H384. zenon_intro zenon_H383.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H1e0. zenon_intro zenon_H385.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L520_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L1002_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H23c | zenon_intro zenon_H386 ].
% 83.92/84.05 apply (zenon_L150_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H388 | zenon_intro zenon_H387 ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H388). zenon_intro zenon_H245. zenon_intro zenon_H389.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L520_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L1003_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H38b | zenon_intro zenon_H38a ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H38b). zenon_intro zenon_H253. zenon_intro zenon_H38c.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H38c). zenon_intro zenon_H3d1. zenon_intro zenon_H3d0.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H3d0). zenon_intro zenon_H24d. zenon_intro zenon_H3d2.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L520_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L1004_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H38e | zenon_intro zenon_H38d ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_H260. zenon_intro zenon_H38f.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L520_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L1005_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H391 | zenon_intro zenon_H390 ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H22a. zenon_intro zenon_H392.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H394. zenon_intro zenon_H393.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H266. zenon_intro zenon_H395.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L520_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L1006_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H275 | zenon_intro zenon_H396 ].
% 83.92/84.05 apply (zenon_L184_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H281 | zenon_intro zenon_H397 ].
% 83.92/84.05 apply (zenon_L189_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H294 | zenon_intro zenon_H398 ].
% 83.92/84.05 apply (zenon_L193_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H399 ].
% 83.92/84.05 apply (zenon_L198_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H39a ].
% 83.92/84.05 apply (zenon_L204_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H39b ].
% 83.92/84.05 apply (zenon_L206_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H39c ].
% 83.92/84.05 apply (zenon_L209_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H2ce | zenon_intro zenon_H39d ].
% 83.92/84.05 apply (zenon_L220_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2e6 ].
% 83.92/84.05 apply (zenon_L222_); trivial.
% 83.92/84.05 apply (zenon_L227_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H804); [ zenon_intro zenon_H2f2 | zenon_intro zenon_H808 ].
% 83.92/84.05 apply (zenon_L231_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H808); [ zenon_intro zenon_H2ff | zenon_intro zenon_H809 ].
% 83.92/84.05 apply (zenon_L239_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H809); [ zenon_intro zenon_H315 | zenon_intro zenon_H80a ].
% 83.92/84.05 apply (zenon_L248_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80a); [ zenon_intro zenon_H319 | zenon_intro zenon_H80b ].
% 83.92/84.05 apply (zenon_L249_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80b); [ zenon_intro zenon_H333 | zenon_intro zenon_H80c ].
% 83.92/84.05 apply (zenon_L258_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80c); [ zenon_intro zenon_H344 | zenon_intro zenon_H80d ].
% 83.92/84.05 apply (zenon_L267_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80d); [ zenon_intro zenon_H37c | zenon_intro zenon_H80e ].
% 83.92/84.05 apply (zenon_L316_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80e); [ zenon_intro zenon_H3cd | zenon_intro zenon_H80f ].
% 83.92/84.05 apply (zenon_L395_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80f); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H810 ].
% 83.92/84.05 apply (zenon_L396_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H810); [ zenon_intro zenon_H3ff | zenon_intro zenon_H811 ].
% 83.92/84.05 apply (zenon_L431_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H811); [ zenon_intro zenon_H416 | zenon_intro zenon_H812 ].
% 83.92/84.05 apply (zenon_L438_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H812); [ zenon_intro zenon_H431 | zenon_intro zenon_H813 ].
% 83.92/84.05 apply (zenon_L489_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H813); [ zenon_intro zenon_H44a | zenon_intro zenon_H44d ].
% 83.92/84.05 apply (zenon_L505_); trivial.
% 83.92/84.05 apply (zenon_L506_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H5c0); [ zenon_intro zenon_H5c4 | zenon_intro zenon_H5c3 ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H5c4). zenon_intro zenon_H467. zenon_intro zenon_H5c5.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H7dc); [ zenon_intro zenon_H9c | zenon_intro zenon_H803 ].
% 83.92/84.05 apply (zenon_L38_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H803); [ zenon_intro zenon_H805 | zenon_intro zenon_H804 ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H805). zenon_intro zenon_H807. zenon_intro zenon_H806.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H806). zenon_intro zenon_H16b. zenon_intro zenon_H1c2.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H380 | zenon_intro zenon_H37f ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H1a. zenon_intro zenon_H381.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H9e. zenon_intro zenon_H382.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H384. zenon_intro zenon_H383.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H1e0. zenon_intro zenon_H385.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L522_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L1002_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H23c | zenon_intro zenon_H386 ].
% 83.92/84.05 apply (zenon_L150_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H388 | zenon_intro zenon_H387 ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H388). zenon_intro zenon_H245. zenon_intro zenon_H389.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L522_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L1003_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H38b | zenon_intro zenon_H38a ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H38b). zenon_intro zenon_H253. zenon_intro zenon_H38c.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H38c). zenon_intro zenon_H3d1. zenon_intro zenon_H3d0.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H3d0). zenon_intro zenon_H24d. zenon_intro zenon_H3d2.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L522_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L1004_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H38e | zenon_intro zenon_H38d ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_H260. zenon_intro zenon_H38f.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L522_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L1005_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H391 | zenon_intro zenon_H390 ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H22a. zenon_intro zenon_H392.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H394. zenon_intro zenon_H393.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H266. zenon_intro zenon_H395.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L522_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L1006_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H275 | zenon_intro zenon_H396 ].
% 83.92/84.05 apply (zenon_L184_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H281 | zenon_intro zenon_H397 ].
% 83.92/84.05 apply (zenon_L189_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H294 | zenon_intro zenon_H398 ].
% 83.92/84.05 apply (zenon_L193_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H399 ].
% 83.92/84.05 apply (zenon_L198_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H39a ].
% 83.92/84.05 apply (zenon_L204_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H39b ].
% 83.92/84.05 apply (zenon_L206_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H39c ].
% 83.92/84.05 apply (zenon_L209_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H2ce | zenon_intro zenon_H39d ].
% 83.92/84.05 apply (zenon_L220_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2e6 ].
% 83.92/84.05 apply (zenon_L222_); trivial.
% 83.92/84.05 apply (zenon_L227_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H804); [ zenon_intro zenon_H2f2 | zenon_intro zenon_H808 ].
% 83.92/84.05 apply (zenon_L231_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H808); [ zenon_intro zenon_H2ff | zenon_intro zenon_H809 ].
% 83.92/84.05 apply (zenon_L239_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H809); [ zenon_intro zenon_H315 | zenon_intro zenon_H80a ].
% 83.92/84.05 apply (zenon_L248_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80a); [ zenon_intro zenon_H319 | zenon_intro zenon_H80b ].
% 83.92/84.05 apply (zenon_L249_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80b); [ zenon_intro zenon_H333 | zenon_intro zenon_H80c ].
% 83.92/84.05 apply (zenon_L258_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80c); [ zenon_intro zenon_H344 | zenon_intro zenon_H80d ].
% 83.92/84.05 apply (zenon_L267_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80d); [ zenon_intro zenon_H37c | zenon_intro zenon_H80e ].
% 83.92/84.05 apply (zenon_L316_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80e); [ zenon_intro zenon_H3cd | zenon_intro zenon_H80f ].
% 83.92/84.05 apply (zenon_L395_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80f); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H810 ].
% 83.92/84.05 apply (zenon_L396_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H810); [ zenon_intro zenon_H3ff | zenon_intro zenon_H811 ].
% 83.92/84.05 apply (zenon_L431_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H811); [ zenon_intro zenon_H416 | zenon_intro zenon_H812 ].
% 83.92/84.05 apply (zenon_L438_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H812); [ zenon_intro zenon_H431 | zenon_intro zenon_H813 ].
% 83.92/84.05 apply (zenon_L489_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H813); [ zenon_intro zenon_H44a | zenon_intro zenon_H44d ].
% 83.92/84.05 apply (zenon_L505_); trivial.
% 83.92/84.05 apply (zenon_L506_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H5c3); [ zenon_intro zenon_H5c7 | zenon_intro zenon_H5c6 ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H5c7). zenon_intro zenon_H473. zenon_intro zenon_H5c8.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H5c8). zenon_intro zenon_H5ca. zenon_intro zenon_H5c9.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H5c9). zenon_intro zenon_H46d. zenon_intro zenon_H5cb.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H7dc); [ zenon_intro zenon_H9c | zenon_intro zenon_H803 ].
% 83.92/84.05 apply (zenon_L38_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H803); [ zenon_intro zenon_H805 | zenon_intro zenon_H804 ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H805). zenon_intro zenon_H807. zenon_intro zenon_H806.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H806). zenon_intro zenon_H16b. zenon_intro zenon_H1c2.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H380 | zenon_intro zenon_H37f ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H1a. zenon_intro zenon_H381.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H9e. zenon_intro zenon_H382.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H384. zenon_intro zenon_H383.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H1e0. zenon_intro zenon_H385.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L526_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L1002_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H23c | zenon_intro zenon_H386 ].
% 83.92/84.05 apply (zenon_L150_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H388 | zenon_intro zenon_H387 ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H388). zenon_intro zenon_H245. zenon_intro zenon_H389.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L526_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L1003_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H38b | zenon_intro zenon_H38a ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H38b). zenon_intro zenon_H253. zenon_intro zenon_H38c.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H38c). zenon_intro zenon_H3d1. zenon_intro zenon_H3d0.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H3d0). zenon_intro zenon_H24d. zenon_intro zenon_H3d2.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L526_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L1004_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H38e | zenon_intro zenon_H38d ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_H260. zenon_intro zenon_H38f.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L526_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L1005_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H391 | zenon_intro zenon_H390 ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H22a. zenon_intro zenon_H392.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H394. zenon_intro zenon_H393.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H266. zenon_intro zenon_H395.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L526_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L1006_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H275 | zenon_intro zenon_H396 ].
% 83.92/84.05 apply (zenon_L184_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H281 | zenon_intro zenon_H397 ].
% 83.92/84.05 apply (zenon_L189_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H294 | zenon_intro zenon_H398 ].
% 83.92/84.05 apply (zenon_L193_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H399 ].
% 83.92/84.05 apply (zenon_L198_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H39a ].
% 83.92/84.05 apply (zenon_L204_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H39b ].
% 83.92/84.05 apply (zenon_L206_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H39c ].
% 83.92/84.05 apply (zenon_L209_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H2ce | zenon_intro zenon_H39d ].
% 83.92/84.05 apply (zenon_L220_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2e6 ].
% 83.92/84.05 apply (zenon_L222_); trivial.
% 83.92/84.05 apply (zenon_L227_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H804); [ zenon_intro zenon_H2f2 | zenon_intro zenon_H808 ].
% 83.92/84.05 apply (zenon_L231_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H808); [ zenon_intro zenon_H2ff | zenon_intro zenon_H809 ].
% 83.92/84.05 apply (zenon_L239_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H809); [ zenon_intro zenon_H315 | zenon_intro zenon_H80a ].
% 83.92/84.05 apply (zenon_L248_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80a); [ zenon_intro zenon_H319 | zenon_intro zenon_H80b ].
% 83.92/84.05 apply (zenon_L249_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80b); [ zenon_intro zenon_H333 | zenon_intro zenon_H80c ].
% 83.92/84.05 apply (zenon_L258_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80c); [ zenon_intro zenon_H344 | zenon_intro zenon_H80d ].
% 83.92/84.05 apply (zenon_L267_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80d); [ zenon_intro zenon_H37c | zenon_intro zenon_H80e ].
% 83.92/84.05 apply (zenon_L316_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80e); [ zenon_intro zenon_H3cd | zenon_intro zenon_H80f ].
% 83.92/84.05 apply (zenon_L395_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80f); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H810 ].
% 83.92/84.05 apply (zenon_L396_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H810); [ zenon_intro zenon_H3ff | zenon_intro zenon_H811 ].
% 83.92/84.05 apply (zenon_L431_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H811); [ zenon_intro zenon_H416 | zenon_intro zenon_H812 ].
% 83.92/84.05 apply (zenon_L438_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H812); [ zenon_intro zenon_H431 | zenon_intro zenon_H813 ].
% 83.92/84.05 apply (zenon_L489_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H813); [ zenon_intro zenon_H44a | zenon_intro zenon_H44d ].
% 83.92/84.05 apply (zenon_L505_); trivial.
% 83.92/84.05 apply (zenon_L506_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H5c6); [ zenon_intro zenon_H48c | zenon_intro zenon_H5cc ].
% 83.92/84.05 apply (zenon_L544_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H5cc); [ zenon_intro zenon_H4a3 | zenon_intro zenon_H5cd ].
% 83.92/84.05 apply (zenon_L550_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H5cd); [ zenon_intro zenon_H4b0 | zenon_intro zenon_H5ce ].
% 83.92/84.05 apply (zenon_L556_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H5ce); [ zenon_intro zenon_H4bf | zenon_intro zenon_H5cf ].
% 83.92/84.05 apply (zenon_L564_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H5cf); [ zenon_intro zenon_H4d8 | zenon_intro zenon_H5d0 ].
% 83.92/84.05 apply (zenon_L573_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H5d0); [ zenon_intro zenon_H4e4 | zenon_intro zenon_H5d1 ].
% 83.92/84.05 apply (zenon_L575_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H5d1); [ zenon_intro zenon_H4e7 | zenon_intro zenon_H5d2 ].
% 83.92/84.05 apply (zenon_L578_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H5d2); [ zenon_intro zenon_H4f0 | zenon_intro zenon_H5d3 ].
% 83.92/84.05 apply (zenon_L587_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H5d3); [ zenon_intro zenon_H4f9 | zenon_intro zenon_H521 ].
% 83.92/84.05 apply (zenon_L590_); trivial.
% 83.92/84.05 apply (zenon_L615_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H7ff); [ zenon_intro zenon_H52c | zenon_intro zenon_H814 ].
% 83.92/84.05 apply (zenon_L631_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H814); [ zenon_intro zenon_H536 | zenon_intro zenon_H815 ].
% 83.92/84.05 apply (zenon_L637_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H815); [ zenon_intro zenon_H54e | zenon_intro zenon_H816 ].
% 83.92/84.05 apply (zenon_L650_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H816); [ zenon_intro zenon_H550 | zenon_intro zenon_H817 ].
% 83.92/84.05 apply (zenon_L651_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H817); [ zenon_intro zenon_H56b | zenon_intro zenon_H818 ].
% 83.92/84.05 apply (zenon_L678_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H818); [ zenon_intro zenon_H58a | zenon_intro zenon_H819 ].
% 83.92/84.05 apply (zenon_L721_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H819); [ zenon_intro zenon_H5b2 | zenon_intro zenon_H81a ].
% 83.92/84.05 apply (zenon_L769_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H81a); [ zenon_intro zenon_H604 | zenon_intro zenon_H81b ].
% 83.92/84.05 apply (zenon_L836_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H81b); [ zenon_intro zenon_H615 | zenon_intro zenon_H81c ].
% 83.92/84.05 apply (zenon_L837_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H81c); [ zenon_intro zenon_H634 | zenon_intro zenon_H81d ].
% 83.92/84.05 apply (zenon_L877_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H81d); [ zenon_intro zenon_H647 | zenon_intro zenon_H81e ].
% 83.92/84.05 apply (zenon_L888_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H81e); [ zenon_intro zenon_H662 | zenon_intro zenon_H81f ].
% 83.92/84.05 apply (zenon_L943_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H81f); [ zenon_intro zenon_H677 | zenon_intro zenon_H67a ].
% 83.92/84.05 apply (zenon_L965_); trivial.
% 83.92/84.05 apply (zenon_L966_); trivial.
% 83.92/84.05 apply (zenon_notand_s _ _ zenon_H823); [ zenon_intro zenon_H6b2 | zenon_intro zenon_H824 ].
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H7dd); [ zenon_intro zenon_H97 | zenon_intro zenon_H7fe ].
% 83.92/84.05 apply (zenon_L37_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H7fe); [ zenon_intro zenon_H800 | zenon_intro zenon_H7ff ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H800). zenon_intro zenon_H802. zenon_intro zenon_H801.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H801). zenon_intro zenon_Hba. zenon_intro zenon_H14b.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H5b3); [ zenon_intro zenon_H5b6 | zenon_intro zenon_H5b5 ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H5b6). zenon_intro zenon_Hb5. zenon_intro zenon_H5b7.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H5b7). zenon_intro zenon_H99. zenon_intro zenon_H5b8.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H5b8). zenon_intro zenon_H5ba. zenon_intro zenon_H5b9.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H5b9). zenon_intro zenon_H155. zenon_intro zenon_H5bb.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H7dc); [ zenon_intro zenon_H9c | zenon_intro zenon_H803 ].
% 83.92/84.05 apply (zenon_L38_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H803); [ zenon_intro zenon_H805 | zenon_intro zenon_H804 ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H805). zenon_intro zenon_H807. zenon_intro zenon_H806.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H806). zenon_intro zenon_H16b. zenon_intro zenon_H1c2.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H380 | zenon_intro zenon_H37f ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H1a. zenon_intro zenon_H381.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H9e. zenon_intro zenon_H382.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H384. zenon_intro zenon_H383.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H1e0. zenon_intro zenon_H385.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L89_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L1009_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H23c | zenon_intro zenon_H386 ].
% 83.92/84.05 apply (zenon_L150_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H388 | zenon_intro zenon_H387 ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H388). zenon_intro zenon_H245. zenon_intro zenon_H389.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L89_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L1011_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H38b | zenon_intro zenon_H38a ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H38b). zenon_intro zenon_H253. zenon_intro zenon_H38c.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H38c). zenon_intro zenon_H3d1. zenon_intro zenon_H3d0.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H3d0). zenon_intro zenon_H24d. zenon_intro zenon_H3d2.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L89_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L1013_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H38e | zenon_intro zenon_H38d ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_H260. zenon_intro zenon_H38f.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L89_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L1015_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H391 | zenon_intro zenon_H390 ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H22a. zenon_intro zenon_H392.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H394. zenon_intro zenon_H393.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H266. zenon_intro zenon_H395.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L89_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L1017_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H275 | zenon_intro zenon_H396 ].
% 83.92/84.05 apply (zenon_L184_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H281 | zenon_intro zenon_H397 ].
% 83.92/84.05 apply (zenon_L189_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H294 | zenon_intro zenon_H398 ].
% 83.92/84.05 apply (zenon_L193_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H399 ].
% 83.92/84.05 apply (zenon_L198_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H39a ].
% 83.92/84.05 apply (zenon_L204_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H39b ].
% 83.92/84.05 apply (zenon_L206_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H39c ].
% 83.92/84.05 apply (zenon_L209_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H2ce | zenon_intro zenon_H39d ].
% 83.92/84.05 apply (zenon_L220_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2e6 ].
% 83.92/84.05 apply (zenon_L222_); trivial.
% 83.92/84.05 apply (zenon_L227_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H804); [ zenon_intro zenon_H2f2 | zenon_intro zenon_H808 ].
% 83.92/84.05 apply (zenon_L231_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H808); [ zenon_intro zenon_H2ff | zenon_intro zenon_H809 ].
% 83.92/84.05 apply (zenon_L239_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H809); [ zenon_intro zenon_H315 | zenon_intro zenon_H80a ].
% 83.92/84.05 apply (zenon_L248_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80a); [ zenon_intro zenon_H319 | zenon_intro zenon_H80b ].
% 83.92/84.05 apply (zenon_L249_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80b); [ zenon_intro zenon_H333 | zenon_intro zenon_H80c ].
% 83.92/84.05 apply (zenon_L258_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80c); [ zenon_intro zenon_H344 | zenon_intro zenon_H80d ].
% 83.92/84.05 apply (zenon_L267_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80d); [ zenon_intro zenon_H37c | zenon_intro zenon_H80e ].
% 83.92/84.05 apply (zenon_L316_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80e); [ zenon_intro zenon_H3cd | zenon_intro zenon_H80f ].
% 83.92/84.05 apply (zenon_L395_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80f); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H810 ].
% 83.92/84.05 apply (zenon_L396_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H810); [ zenon_intro zenon_H3ff | zenon_intro zenon_H811 ].
% 83.92/84.05 apply (zenon_L431_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H811); [ zenon_intro zenon_H416 | zenon_intro zenon_H812 ].
% 83.92/84.05 apply (zenon_L438_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H812); [ zenon_intro zenon_H431 | zenon_intro zenon_H813 ].
% 83.92/84.05 apply (zenon_L489_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H813); [ zenon_intro zenon_H44a | zenon_intro zenon_H44d ].
% 83.92/84.05 apply (zenon_L505_); trivial.
% 83.92/84.05 apply (zenon_L506_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H5b5); [ zenon_intro zenon_H456 | zenon_intro zenon_H5bc ].
% 83.92/84.05 apply (zenon_L509_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H5bc); [ zenon_intro zenon_H5be | zenon_intro zenon_H5bd ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H5be). zenon_intro zenon_H45b. zenon_intro zenon_H5bf.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H7dc); [ zenon_intro zenon_H9c | zenon_intro zenon_H803 ].
% 83.92/84.05 apply (zenon_L38_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H803); [ zenon_intro zenon_H805 | zenon_intro zenon_H804 ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H805). zenon_intro zenon_H807. zenon_intro zenon_H806.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H806). zenon_intro zenon_H16b. zenon_intro zenon_H1c2.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H380 | zenon_intro zenon_H37f ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H1a. zenon_intro zenon_H381.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H9e. zenon_intro zenon_H382.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H384. zenon_intro zenon_H383.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H1e0. zenon_intro zenon_H385.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L511_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L1009_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H23c | zenon_intro zenon_H386 ].
% 83.92/84.05 apply (zenon_L150_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H388 | zenon_intro zenon_H387 ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H388). zenon_intro zenon_H245. zenon_intro zenon_H389.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L511_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L1011_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H38b | zenon_intro zenon_H38a ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H38b). zenon_intro zenon_H253. zenon_intro zenon_H38c.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H38c). zenon_intro zenon_H3d1. zenon_intro zenon_H3d0.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H3d0). zenon_intro zenon_H24d. zenon_intro zenon_H3d2.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L511_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L1013_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H38e | zenon_intro zenon_H38d ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_H260. zenon_intro zenon_H38f.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L511_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L1015_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H391 | zenon_intro zenon_H390 ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H22a. zenon_intro zenon_H392.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H394. zenon_intro zenon_H393.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H266. zenon_intro zenon_H395.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L511_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L1017_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H275 | zenon_intro zenon_H396 ].
% 83.92/84.05 apply (zenon_L184_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H281 | zenon_intro zenon_H397 ].
% 83.92/84.05 apply (zenon_L189_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H294 | zenon_intro zenon_H398 ].
% 83.92/84.05 apply (zenon_L193_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H399 ].
% 83.92/84.05 apply (zenon_L198_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H39a ].
% 83.92/84.05 apply (zenon_L204_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H39b ].
% 83.92/84.05 apply (zenon_L206_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H39c ].
% 83.92/84.05 apply (zenon_L209_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H2ce | zenon_intro zenon_H39d ].
% 83.92/84.05 apply (zenon_L220_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2e6 ].
% 83.92/84.05 apply (zenon_L222_); trivial.
% 83.92/84.05 apply (zenon_L227_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H804); [ zenon_intro zenon_H2f2 | zenon_intro zenon_H808 ].
% 83.92/84.05 apply (zenon_L231_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H808); [ zenon_intro zenon_H2ff | zenon_intro zenon_H809 ].
% 83.92/84.05 apply (zenon_L239_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H809); [ zenon_intro zenon_H315 | zenon_intro zenon_H80a ].
% 83.92/84.05 apply (zenon_L248_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80a); [ zenon_intro zenon_H319 | zenon_intro zenon_H80b ].
% 83.92/84.05 apply (zenon_L249_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80b); [ zenon_intro zenon_H333 | zenon_intro zenon_H80c ].
% 83.92/84.05 apply (zenon_L258_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80c); [ zenon_intro zenon_H344 | zenon_intro zenon_H80d ].
% 83.92/84.05 apply (zenon_L267_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80d); [ zenon_intro zenon_H37c | zenon_intro zenon_H80e ].
% 83.92/84.05 apply (zenon_L316_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80e); [ zenon_intro zenon_H3cd | zenon_intro zenon_H80f ].
% 83.92/84.05 apply (zenon_L395_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80f); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H810 ].
% 83.92/84.05 apply (zenon_L396_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H810); [ zenon_intro zenon_H3ff | zenon_intro zenon_H811 ].
% 83.92/84.05 apply (zenon_L431_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H811); [ zenon_intro zenon_H416 | zenon_intro zenon_H812 ].
% 83.92/84.05 apply (zenon_L438_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H812); [ zenon_intro zenon_H431 | zenon_intro zenon_H813 ].
% 83.92/84.05 apply (zenon_L489_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H813); [ zenon_intro zenon_H44a | zenon_intro zenon_H44d ].
% 83.92/84.05 apply (zenon_L505_); trivial.
% 83.92/84.05 apply (zenon_L506_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H5bd); [ zenon_intro zenon_H5c1 | zenon_intro zenon_H5c0 ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H5c1). zenon_intro zenon_H463. zenon_intro zenon_H5c2.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H7dc); [ zenon_intro zenon_H9c | zenon_intro zenon_H803 ].
% 83.92/84.05 apply (zenon_L38_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H803); [ zenon_intro zenon_H805 | zenon_intro zenon_H804 ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H805). zenon_intro zenon_H807. zenon_intro zenon_H806.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H806). zenon_intro zenon_H16b. zenon_intro zenon_H1c2.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H380 | zenon_intro zenon_H37f ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H1a. zenon_intro zenon_H381.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H9e. zenon_intro zenon_H382.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H384. zenon_intro zenon_H383.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H1e0. zenon_intro zenon_H385.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L520_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L1009_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H23c | zenon_intro zenon_H386 ].
% 83.92/84.05 apply (zenon_L150_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H388 | zenon_intro zenon_H387 ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H388). zenon_intro zenon_H245. zenon_intro zenon_H389.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L520_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L1011_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H38b | zenon_intro zenon_H38a ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H38b). zenon_intro zenon_H253. zenon_intro zenon_H38c.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H38c). zenon_intro zenon_H3d1. zenon_intro zenon_H3d0.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H3d0). zenon_intro zenon_H24d. zenon_intro zenon_H3d2.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L520_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L1013_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H38e | zenon_intro zenon_H38d ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_H260. zenon_intro zenon_H38f.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L520_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L1015_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H391 | zenon_intro zenon_H390 ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H22a. zenon_intro zenon_H392.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H394. zenon_intro zenon_H393.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H266. zenon_intro zenon_H395.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L520_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L1017_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H275 | zenon_intro zenon_H396 ].
% 83.92/84.05 apply (zenon_L184_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H281 | zenon_intro zenon_H397 ].
% 83.92/84.05 apply (zenon_L189_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H294 | zenon_intro zenon_H398 ].
% 83.92/84.05 apply (zenon_L193_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H399 ].
% 83.92/84.05 apply (zenon_L198_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H39a ].
% 83.92/84.05 apply (zenon_L204_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H39b ].
% 83.92/84.05 apply (zenon_L206_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H39c ].
% 83.92/84.05 apply (zenon_L209_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H2ce | zenon_intro zenon_H39d ].
% 83.92/84.05 apply (zenon_L220_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2e6 ].
% 83.92/84.05 apply (zenon_L222_); trivial.
% 83.92/84.05 apply (zenon_L227_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H804); [ zenon_intro zenon_H2f2 | zenon_intro zenon_H808 ].
% 83.92/84.05 apply (zenon_L231_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H808); [ zenon_intro zenon_H2ff | zenon_intro zenon_H809 ].
% 83.92/84.05 apply (zenon_L239_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H809); [ zenon_intro zenon_H315 | zenon_intro zenon_H80a ].
% 83.92/84.05 apply (zenon_L248_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80a); [ zenon_intro zenon_H319 | zenon_intro zenon_H80b ].
% 83.92/84.05 apply (zenon_L249_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80b); [ zenon_intro zenon_H333 | zenon_intro zenon_H80c ].
% 83.92/84.05 apply (zenon_L258_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80c); [ zenon_intro zenon_H344 | zenon_intro zenon_H80d ].
% 83.92/84.05 apply (zenon_L267_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80d); [ zenon_intro zenon_H37c | zenon_intro zenon_H80e ].
% 83.92/84.05 apply (zenon_L316_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80e); [ zenon_intro zenon_H3cd | zenon_intro zenon_H80f ].
% 83.92/84.05 apply (zenon_L395_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80f); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H810 ].
% 83.92/84.05 apply (zenon_L396_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H810); [ zenon_intro zenon_H3ff | zenon_intro zenon_H811 ].
% 83.92/84.05 apply (zenon_L431_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H811); [ zenon_intro zenon_H416 | zenon_intro zenon_H812 ].
% 83.92/84.05 apply (zenon_L438_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H812); [ zenon_intro zenon_H431 | zenon_intro zenon_H813 ].
% 83.92/84.05 apply (zenon_L489_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H813); [ zenon_intro zenon_H44a | zenon_intro zenon_H44d ].
% 83.92/84.05 apply (zenon_L505_); trivial.
% 83.92/84.05 apply (zenon_L506_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H5c0); [ zenon_intro zenon_H5c4 | zenon_intro zenon_H5c3 ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H5c4). zenon_intro zenon_H467. zenon_intro zenon_H5c5.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H7dc); [ zenon_intro zenon_H9c | zenon_intro zenon_H803 ].
% 83.92/84.05 apply (zenon_L38_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H803); [ zenon_intro zenon_H805 | zenon_intro zenon_H804 ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H805). zenon_intro zenon_H807. zenon_intro zenon_H806.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H806). zenon_intro zenon_H16b. zenon_intro zenon_H1c2.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H380 | zenon_intro zenon_H37f ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H1a. zenon_intro zenon_H381.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H9e. zenon_intro zenon_H382.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H384. zenon_intro zenon_H383.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H1e0. zenon_intro zenon_H385.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L522_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L1009_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H23c | zenon_intro zenon_H386 ].
% 83.92/84.05 apply (zenon_L150_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H388 | zenon_intro zenon_H387 ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H388). zenon_intro zenon_H245. zenon_intro zenon_H389.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L522_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L1011_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H38b | zenon_intro zenon_H38a ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H38b). zenon_intro zenon_H253. zenon_intro zenon_H38c.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H38c). zenon_intro zenon_H3d1. zenon_intro zenon_H3d0.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H3d0). zenon_intro zenon_H24d. zenon_intro zenon_H3d2.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L522_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L1013_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H38e | zenon_intro zenon_H38d ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_H260. zenon_intro zenon_H38f.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L522_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L1015_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H391 | zenon_intro zenon_H390 ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H22a. zenon_intro zenon_H392.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H394. zenon_intro zenon_H393.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H266. zenon_intro zenon_H395.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L522_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L1017_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H275 | zenon_intro zenon_H396 ].
% 83.92/84.05 apply (zenon_L184_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H281 | zenon_intro zenon_H397 ].
% 83.92/84.05 apply (zenon_L189_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H294 | zenon_intro zenon_H398 ].
% 83.92/84.05 apply (zenon_L193_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H399 ].
% 83.92/84.05 apply (zenon_L198_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H39a ].
% 83.92/84.05 apply (zenon_L204_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H39b ].
% 83.92/84.05 apply (zenon_L206_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H39c ].
% 83.92/84.05 apply (zenon_L209_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H2ce | zenon_intro zenon_H39d ].
% 83.92/84.05 apply (zenon_L220_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2e6 ].
% 83.92/84.05 apply (zenon_L222_); trivial.
% 83.92/84.05 apply (zenon_L227_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H804); [ zenon_intro zenon_H2f2 | zenon_intro zenon_H808 ].
% 83.92/84.05 apply (zenon_L231_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H808); [ zenon_intro zenon_H2ff | zenon_intro zenon_H809 ].
% 83.92/84.05 apply (zenon_L239_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H809); [ zenon_intro zenon_H315 | zenon_intro zenon_H80a ].
% 83.92/84.05 apply (zenon_L248_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80a); [ zenon_intro zenon_H319 | zenon_intro zenon_H80b ].
% 83.92/84.05 apply (zenon_L249_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80b); [ zenon_intro zenon_H333 | zenon_intro zenon_H80c ].
% 83.92/84.05 apply (zenon_L258_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80c); [ zenon_intro zenon_H344 | zenon_intro zenon_H80d ].
% 83.92/84.05 apply (zenon_L267_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80d); [ zenon_intro zenon_H37c | zenon_intro zenon_H80e ].
% 83.92/84.05 apply (zenon_L316_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80e); [ zenon_intro zenon_H3cd | zenon_intro zenon_H80f ].
% 83.92/84.05 apply (zenon_L395_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80f); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H810 ].
% 83.92/84.05 apply (zenon_L396_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H810); [ zenon_intro zenon_H3ff | zenon_intro zenon_H811 ].
% 83.92/84.05 apply (zenon_L431_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H811); [ zenon_intro zenon_H416 | zenon_intro zenon_H812 ].
% 83.92/84.05 apply (zenon_L438_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H812); [ zenon_intro zenon_H431 | zenon_intro zenon_H813 ].
% 83.92/84.05 apply (zenon_L489_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H813); [ zenon_intro zenon_H44a | zenon_intro zenon_H44d ].
% 83.92/84.05 apply (zenon_L505_); trivial.
% 83.92/84.05 apply (zenon_L506_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H5c3); [ zenon_intro zenon_H5c7 | zenon_intro zenon_H5c6 ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H5c7). zenon_intro zenon_H473. zenon_intro zenon_H5c8.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H5c8). zenon_intro zenon_H5ca. zenon_intro zenon_H5c9.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H5c9). zenon_intro zenon_H46d. zenon_intro zenon_H5cb.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H7dc); [ zenon_intro zenon_H9c | zenon_intro zenon_H803 ].
% 83.92/84.05 apply (zenon_L38_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H803); [ zenon_intro zenon_H805 | zenon_intro zenon_H804 ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H805). zenon_intro zenon_H807. zenon_intro zenon_H806.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H806). zenon_intro zenon_H16b. zenon_intro zenon_H1c2.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H380 | zenon_intro zenon_H37f ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H1a. zenon_intro zenon_H381.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H9e. zenon_intro zenon_H382.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H384. zenon_intro zenon_H383.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H1e0. zenon_intro zenon_H385.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L526_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L1009_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H23c | zenon_intro zenon_H386 ].
% 83.92/84.05 apply (zenon_L150_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H388 | zenon_intro zenon_H387 ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H388). zenon_intro zenon_H245. zenon_intro zenon_H389.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L526_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L1011_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H38b | zenon_intro zenon_H38a ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H38b). zenon_intro zenon_H253. zenon_intro zenon_H38c.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H38c). zenon_intro zenon_H3d1. zenon_intro zenon_H3d0.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H3d0). zenon_intro zenon_H24d. zenon_intro zenon_H3d2.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L526_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L1013_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H38e | zenon_intro zenon_H38d ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_H260. zenon_intro zenon_H38f.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L526_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L1015_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H391 | zenon_intro zenon_H390 ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H22a. zenon_intro zenon_H392.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H394. zenon_intro zenon_H393.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H266. zenon_intro zenon_H395.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L526_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L1017_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H275 | zenon_intro zenon_H396 ].
% 83.92/84.05 apply (zenon_L184_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H281 | zenon_intro zenon_H397 ].
% 83.92/84.05 apply (zenon_L189_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H294 | zenon_intro zenon_H398 ].
% 83.92/84.05 apply (zenon_L193_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H399 ].
% 83.92/84.05 apply (zenon_L198_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H39a ].
% 83.92/84.05 apply (zenon_L204_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H39b ].
% 83.92/84.05 apply (zenon_L206_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H39c ].
% 83.92/84.05 apply (zenon_L209_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H2ce | zenon_intro zenon_H39d ].
% 83.92/84.05 apply (zenon_L220_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2e6 ].
% 83.92/84.05 apply (zenon_L222_); trivial.
% 83.92/84.05 apply (zenon_L227_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H804); [ zenon_intro zenon_H2f2 | zenon_intro zenon_H808 ].
% 83.92/84.05 apply (zenon_L231_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H808); [ zenon_intro zenon_H2ff | zenon_intro zenon_H809 ].
% 83.92/84.05 apply (zenon_L239_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H809); [ zenon_intro zenon_H315 | zenon_intro zenon_H80a ].
% 83.92/84.05 apply (zenon_L248_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80a); [ zenon_intro zenon_H319 | zenon_intro zenon_H80b ].
% 83.92/84.05 apply (zenon_L249_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80b); [ zenon_intro zenon_H333 | zenon_intro zenon_H80c ].
% 83.92/84.05 apply (zenon_L258_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80c); [ zenon_intro zenon_H344 | zenon_intro zenon_H80d ].
% 83.92/84.05 apply (zenon_L267_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80d); [ zenon_intro zenon_H37c | zenon_intro zenon_H80e ].
% 83.92/84.05 apply (zenon_L316_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80e); [ zenon_intro zenon_H3cd | zenon_intro zenon_H80f ].
% 83.92/84.05 apply (zenon_L395_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80f); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H810 ].
% 83.92/84.05 apply (zenon_L396_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H810); [ zenon_intro zenon_H3ff | zenon_intro zenon_H811 ].
% 83.92/84.05 apply (zenon_L431_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H811); [ zenon_intro zenon_H416 | zenon_intro zenon_H812 ].
% 83.92/84.05 apply (zenon_L438_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H812); [ zenon_intro zenon_H431 | zenon_intro zenon_H813 ].
% 83.92/84.05 apply (zenon_L489_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H813); [ zenon_intro zenon_H44a | zenon_intro zenon_H44d ].
% 83.92/84.05 apply (zenon_L505_); trivial.
% 83.92/84.05 apply (zenon_L506_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H5c6); [ zenon_intro zenon_H48c | zenon_intro zenon_H5cc ].
% 83.92/84.05 apply (zenon_L544_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H5cc); [ zenon_intro zenon_H4a3 | zenon_intro zenon_H5cd ].
% 83.92/84.05 apply (zenon_L550_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H5cd); [ zenon_intro zenon_H4b0 | zenon_intro zenon_H5ce ].
% 83.92/84.05 apply (zenon_L556_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H5ce); [ zenon_intro zenon_H4bf | zenon_intro zenon_H5cf ].
% 83.92/84.05 apply (zenon_L564_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H5cf); [ zenon_intro zenon_H4d8 | zenon_intro zenon_H5d0 ].
% 83.92/84.05 apply (zenon_L573_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H5d0); [ zenon_intro zenon_H4e4 | zenon_intro zenon_H5d1 ].
% 83.92/84.05 apply (zenon_L575_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H5d1); [ zenon_intro zenon_H4e7 | zenon_intro zenon_H5d2 ].
% 83.92/84.05 apply (zenon_L578_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H5d2); [ zenon_intro zenon_H4f0 | zenon_intro zenon_H5d3 ].
% 83.92/84.05 apply (zenon_L587_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H5d3); [ zenon_intro zenon_H4f9 | zenon_intro zenon_H521 ].
% 83.92/84.05 apply (zenon_L590_); trivial.
% 83.92/84.05 apply (zenon_L615_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H7ff); [ zenon_intro zenon_H52c | zenon_intro zenon_H814 ].
% 83.92/84.05 apply (zenon_L631_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H814); [ zenon_intro zenon_H536 | zenon_intro zenon_H815 ].
% 83.92/84.05 apply (zenon_L637_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H815); [ zenon_intro zenon_H54e | zenon_intro zenon_H816 ].
% 83.92/84.05 apply (zenon_L650_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H816); [ zenon_intro zenon_H550 | zenon_intro zenon_H817 ].
% 83.92/84.05 apply (zenon_L651_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H817); [ zenon_intro zenon_H56b | zenon_intro zenon_H818 ].
% 83.92/84.05 apply (zenon_L678_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H818); [ zenon_intro zenon_H58a | zenon_intro zenon_H819 ].
% 83.92/84.05 apply (zenon_L721_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H819); [ zenon_intro zenon_H5b2 | zenon_intro zenon_H81a ].
% 83.92/84.05 apply (zenon_L769_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H81a); [ zenon_intro zenon_H604 | zenon_intro zenon_H81b ].
% 83.92/84.05 apply (zenon_L836_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H81b); [ zenon_intro zenon_H615 | zenon_intro zenon_H81c ].
% 83.92/84.05 apply (zenon_L837_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H81c); [ zenon_intro zenon_H634 | zenon_intro zenon_H81d ].
% 83.92/84.05 apply (zenon_L877_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H81d); [ zenon_intro zenon_H647 | zenon_intro zenon_H81e ].
% 83.92/84.05 apply (zenon_L888_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H81e); [ zenon_intro zenon_H662 | zenon_intro zenon_H81f ].
% 83.92/84.05 apply (zenon_L943_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H81f); [ zenon_intro zenon_H677 | zenon_intro zenon_H67a ].
% 83.92/84.05 apply (zenon_L965_); trivial.
% 83.92/84.05 apply (zenon_L966_); trivial.
% 83.92/84.05 apply (zenon_notand_s _ _ zenon_H824); [ zenon_intro zenon_H6bd | zenon_intro zenon_H825 ].
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H7dd); [ zenon_intro zenon_H97 | zenon_intro zenon_H7fe ].
% 83.92/84.05 apply (zenon_L37_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H7fe); [ zenon_intro zenon_H800 | zenon_intro zenon_H7ff ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H800). zenon_intro zenon_H802. zenon_intro zenon_H801.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H801). zenon_intro zenon_Hba. zenon_intro zenon_H14b.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H5b3); [ zenon_intro zenon_H5b6 | zenon_intro zenon_H5b5 ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H5b6). zenon_intro zenon_Hb5. zenon_intro zenon_H5b7.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H5b7). zenon_intro zenon_H99. zenon_intro zenon_H5b8.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H5b8). zenon_intro zenon_H5ba. zenon_intro zenon_H5b9.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H5b9). zenon_intro zenon_H155. zenon_intro zenon_H5bb.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H7dc); [ zenon_intro zenon_H9c | zenon_intro zenon_H803 ].
% 83.92/84.05 apply (zenon_L38_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H803); [ zenon_intro zenon_H805 | zenon_intro zenon_H804 ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H805). zenon_intro zenon_H807. zenon_intro zenon_H806.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H806). zenon_intro zenon_H16b. zenon_intro zenon_H1c2.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H380 | zenon_intro zenon_H37f ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H1a. zenon_intro zenon_H381.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H9e. zenon_intro zenon_H382.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H384. zenon_intro zenon_H383.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H1e0. zenon_intro zenon_H385.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L89_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L1026_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H23c | zenon_intro zenon_H386 ].
% 83.92/84.05 apply (zenon_L150_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H388 | zenon_intro zenon_H387 ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H388). zenon_intro zenon_H245. zenon_intro zenon_H389.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L89_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L1028_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H38b | zenon_intro zenon_H38a ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H38b). zenon_intro zenon_H253. zenon_intro zenon_H38c.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H38c). zenon_intro zenon_H3d1. zenon_intro zenon_H3d0.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H3d0). zenon_intro zenon_H24d. zenon_intro zenon_H3d2.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L89_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L1030_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H38e | zenon_intro zenon_H38d ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_H260. zenon_intro zenon_H38f.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L89_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L1032_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H391 | zenon_intro zenon_H390 ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H22a. zenon_intro zenon_H392.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H394. zenon_intro zenon_H393.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H266. zenon_intro zenon_H395.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L89_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L1034_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H275 | zenon_intro zenon_H396 ].
% 83.92/84.05 apply (zenon_L184_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H281 | zenon_intro zenon_H397 ].
% 83.92/84.05 apply (zenon_L189_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H294 | zenon_intro zenon_H398 ].
% 83.92/84.05 apply (zenon_L193_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H399 ].
% 83.92/84.05 apply (zenon_L198_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H39a ].
% 83.92/84.05 apply (zenon_L204_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H39b ].
% 83.92/84.05 apply (zenon_L206_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H39c ].
% 83.92/84.05 apply (zenon_L209_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H2ce | zenon_intro zenon_H39d ].
% 83.92/84.05 apply (zenon_L220_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2e6 ].
% 83.92/84.05 apply (zenon_L222_); trivial.
% 83.92/84.05 apply (zenon_L227_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H804); [ zenon_intro zenon_H2f2 | zenon_intro zenon_H808 ].
% 83.92/84.05 apply (zenon_L231_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H808); [ zenon_intro zenon_H2ff | zenon_intro zenon_H809 ].
% 83.92/84.05 apply (zenon_L239_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H809); [ zenon_intro zenon_H315 | zenon_intro zenon_H80a ].
% 83.92/84.05 apply (zenon_L248_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80a); [ zenon_intro zenon_H319 | zenon_intro zenon_H80b ].
% 83.92/84.05 apply (zenon_L249_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80b); [ zenon_intro zenon_H333 | zenon_intro zenon_H80c ].
% 83.92/84.05 apply (zenon_L258_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80c); [ zenon_intro zenon_H344 | zenon_intro zenon_H80d ].
% 83.92/84.05 apply (zenon_L267_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80d); [ zenon_intro zenon_H37c | zenon_intro zenon_H80e ].
% 83.92/84.05 apply (zenon_L316_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80e); [ zenon_intro zenon_H3cd | zenon_intro zenon_H80f ].
% 83.92/84.05 apply (zenon_L395_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80f); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H810 ].
% 83.92/84.05 apply (zenon_L396_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H810); [ zenon_intro zenon_H3ff | zenon_intro zenon_H811 ].
% 83.92/84.05 apply (zenon_L431_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H811); [ zenon_intro zenon_H416 | zenon_intro zenon_H812 ].
% 83.92/84.05 apply (zenon_L438_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H812); [ zenon_intro zenon_H431 | zenon_intro zenon_H813 ].
% 83.92/84.05 apply (zenon_L489_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H813); [ zenon_intro zenon_H44a | zenon_intro zenon_H44d ].
% 83.92/84.05 apply (zenon_L505_); trivial.
% 83.92/84.05 apply (zenon_L506_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H5b5); [ zenon_intro zenon_H456 | zenon_intro zenon_H5bc ].
% 83.92/84.05 apply (zenon_L509_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H5bc); [ zenon_intro zenon_H5be | zenon_intro zenon_H5bd ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H5be). zenon_intro zenon_H45b. zenon_intro zenon_H5bf.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H7dc); [ zenon_intro zenon_H9c | zenon_intro zenon_H803 ].
% 83.92/84.05 apply (zenon_L38_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H803); [ zenon_intro zenon_H805 | zenon_intro zenon_H804 ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H805). zenon_intro zenon_H807. zenon_intro zenon_H806.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H806). zenon_intro zenon_H16b. zenon_intro zenon_H1c2.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H380 | zenon_intro zenon_H37f ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H1a. zenon_intro zenon_H381.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H9e. zenon_intro zenon_H382.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H384. zenon_intro zenon_H383.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H1e0. zenon_intro zenon_H385.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L511_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L1026_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H23c | zenon_intro zenon_H386 ].
% 83.92/84.05 apply (zenon_L150_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H388 | zenon_intro zenon_H387 ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H388). zenon_intro zenon_H245. zenon_intro zenon_H389.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L511_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L1028_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H38b | zenon_intro zenon_H38a ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H38b). zenon_intro zenon_H253. zenon_intro zenon_H38c.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H38c). zenon_intro zenon_H3d1. zenon_intro zenon_H3d0.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H3d0). zenon_intro zenon_H24d. zenon_intro zenon_H3d2.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L511_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L1030_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H38e | zenon_intro zenon_H38d ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_H260. zenon_intro zenon_H38f.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L511_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L1032_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H391 | zenon_intro zenon_H390 ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H22a. zenon_intro zenon_H392.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H394. zenon_intro zenon_H393.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H266. zenon_intro zenon_H395.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L511_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L1034_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H275 | zenon_intro zenon_H396 ].
% 83.92/84.05 apply (zenon_L184_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H281 | zenon_intro zenon_H397 ].
% 83.92/84.05 apply (zenon_L189_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H294 | zenon_intro zenon_H398 ].
% 83.92/84.05 apply (zenon_L193_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H399 ].
% 83.92/84.05 apply (zenon_L198_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H39a ].
% 83.92/84.05 apply (zenon_L204_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H39b ].
% 83.92/84.05 apply (zenon_L206_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H39c ].
% 83.92/84.05 apply (zenon_L209_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H2ce | zenon_intro zenon_H39d ].
% 83.92/84.05 apply (zenon_L220_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2e6 ].
% 83.92/84.05 apply (zenon_L222_); trivial.
% 83.92/84.05 apply (zenon_L227_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H804); [ zenon_intro zenon_H2f2 | zenon_intro zenon_H808 ].
% 83.92/84.05 apply (zenon_L231_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H808); [ zenon_intro zenon_H2ff | zenon_intro zenon_H809 ].
% 83.92/84.05 apply (zenon_L239_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H809); [ zenon_intro zenon_H315 | zenon_intro zenon_H80a ].
% 83.92/84.05 apply (zenon_L248_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80a); [ zenon_intro zenon_H319 | zenon_intro zenon_H80b ].
% 83.92/84.05 apply (zenon_L249_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80b); [ zenon_intro zenon_H333 | zenon_intro zenon_H80c ].
% 83.92/84.05 apply (zenon_L258_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80c); [ zenon_intro zenon_H344 | zenon_intro zenon_H80d ].
% 83.92/84.05 apply (zenon_L267_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80d); [ zenon_intro zenon_H37c | zenon_intro zenon_H80e ].
% 83.92/84.05 apply (zenon_L316_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80e); [ zenon_intro zenon_H3cd | zenon_intro zenon_H80f ].
% 83.92/84.05 apply (zenon_L395_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80f); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H810 ].
% 83.92/84.05 apply (zenon_L396_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H810); [ zenon_intro zenon_H3ff | zenon_intro zenon_H811 ].
% 83.92/84.05 apply (zenon_L431_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H811); [ zenon_intro zenon_H416 | zenon_intro zenon_H812 ].
% 83.92/84.05 apply (zenon_L438_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H812); [ zenon_intro zenon_H431 | zenon_intro zenon_H813 ].
% 83.92/84.05 apply (zenon_L489_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H813); [ zenon_intro zenon_H44a | zenon_intro zenon_H44d ].
% 83.92/84.05 apply (zenon_L505_); trivial.
% 83.92/84.05 apply (zenon_L506_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H5bd); [ zenon_intro zenon_H5c1 | zenon_intro zenon_H5c0 ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H5c1). zenon_intro zenon_H463. zenon_intro zenon_H5c2.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H7dc); [ zenon_intro zenon_H9c | zenon_intro zenon_H803 ].
% 83.92/84.05 apply (zenon_L38_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H803); [ zenon_intro zenon_H805 | zenon_intro zenon_H804 ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H805). zenon_intro zenon_H807. zenon_intro zenon_H806.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H806). zenon_intro zenon_H16b. zenon_intro zenon_H1c2.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H380 | zenon_intro zenon_H37f ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H1a. zenon_intro zenon_H381.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H9e. zenon_intro zenon_H382.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H384. zenon_intro zenon_H383.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H1e0. zenon_intro zenon_H385.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L520_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L1026_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H23c | zenon_intro zenon_H386 ].
% 83.92/84.05 apply (zenon_L150_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H388 | zenon_intro zenon_H387 ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H388). zenon_intro zenon_H245. zenon_intro zenon_H389.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L520_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L1028_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H38b | zenon_intro zenon_H38a ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H38b). zenon_intro zenon_H253. zenon_intro zenon_H38c.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H38c). zenon_intro zenon_H3d1. zenon_intro zenon_H3d0.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H3d0). zenon_intro zenon_H24d. zenon_intro zenon_H3d2.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L520_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L1030_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H38e | zenon_intro zenon_H38d ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_H260. zenon_intro zenon_H38f.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L520_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L1032_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H391 | zenon_intro zenon_H390 ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H22a. zenon_intro zenon_H392.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H394. zenon_intro zenon_H393.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H266. zenon_intro zenon_H395.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L520_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L1034_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H275 | zenon_intro zenon_H396 ].
% 83.92/84.05 apply (zenon_L184_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H281 | zenon_intro zenon_H397 ].
% 83.92/84.05 apply (zenon_L189_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H294 | zenon_intro zenon_H398 ].
% 83.92/84.05 apply (zenon_L193_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H399 ].
% 83.92/84.05 apply (zenon_L198_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H39a ].
% 83.92/84.05 apply (zenon_L204_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H39b ].
% 83.92/84.05 apply (zenon_L206_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H39c ].
% 83.92/84.05 apply (zenon_L209_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H2ce | zenon_intro zenon_H39d ].
% 83.92/84.05 apply (zenon_L220_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2e6 ].
% 83.92/84.05 apply (zenon_L222_); trivial.
% 83.92/84.05 apply (zenon_L227_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H804); [ zenon_intro zenon_H2f2 | zenon_intro zenon_H808 ].
% 83.92/84.05 apply (zenon_L231_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H808); [ zenon_intro zenon_H2ff | zenon_intro zenon_H809 ].
% 83.92/84.05 apply (zenon_L239_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H809); [ zenon_intro zenon_H315 | zenon_intro zenon_H80a ].
% 83.92/84.05 apply (zenon_L248_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80a); [ zenon_intro zenon_H319 | zenon_intro zenon_H80b ].
% 83.92/84.05 apply (zenon_L249_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80b); [ zenon_intro zenon_H333 | zenon_intro zenon_H80c ].
% 83.92/84.05 apply (zenon_L258_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80c); [ zenon_intro zenon_H344 | zenon_intro zenon_H80d ].
% 83.92/84.05 apply (zenon_L267_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80d); [ zenon_intro zenon_H37c | zenon_intro zenon_H80e ].
% 83.92/84.05 apply (zenon_L316_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80e); [ zenon_intro zenon_H3cd | zenon_intro zenon_H80f ].
% 83.92/84.05 apply (zenon_L395_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80f); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H810 ].
% 83.92/84.05 apply (zenon_L396_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H810); [ zenon_intro zenon_H3ff | zenon_intro zenon_H811 ].
% 83.92/84.05 apply (zenon_L431_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H811); [ zenon_intro zenon_H416 | zenon_intro zenon_H812 ].
% 83.92/84.05 apply (zenon_L438_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H812); [ zenon_intro zenon_H431 | zenon_intro zenon_H813 ].
% 83.92/84.05 apply (zenon_L489_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H813); [ zenon_intro zenon_H44a | zenon_intro zenon_H44d ].
% 83.92/84.05 apply (zenon_L505_); trivial.
% 83.92/84.05 apply (zenon_L506_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H5c0); [ zenon_intro zenon_H5c4 | zenon_intro zenon_H5c3 ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H5c4). zenon_intro zenon_H467. zenon_intro zenon_H5c5.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H7dc); [ zenon_intro zenon_H9c | zenon_intro zenon_H803 ].
% 83.92/84.05 apply (zenon_L38_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H803); [ zenon_intro zenon_H805 | zenon_intro zenon_H804 ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H805). zenon_intro zenon_H807. zenon_intro zenon_H806.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H806). zenon_intro zenon_H16b. zenon_intro zenon_H1c2.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H380 | zenon_intro zenon_H37f ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H1a. zenon_intro zenon_H381.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H9e. zenon_intro zenon_H382.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H384. zenon_intro zenon_H383.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H1e0. zenon_intro zenon_H385.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L522_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L1026_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H23c | zenon_intro zenon_H386 ].
% 83.92/84.05 apply (zenon_L150_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H388 | zenon_intro zenon_H387 ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H388). zenon_intro zenon_H245. zenon_intro zenon_H389.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L522_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L1028_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H38b | zenon_intro zenon_H38a ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H38b). zenon_intro zenon_H253. zenon_intro zenon_H38c.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H38c). zenon_intro zenon_H3d1. zenon_intro zenon_H3d0.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H3d0). zenon_intro zenon_H24d. zenon_intro zenon_H3d2.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L522_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L1030_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H38e | zenon_intro zenon_H38d ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_H260. zenon_intro zenon_H38f.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L522_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L1032_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H391 | zenon_intro zenon_H390 ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H22a. zenon_intro zenon_H392.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H394. zenon_intro zenon_H393.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H266. zenon_intro zenon_H395.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L522_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L1034_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H275 | zenon_intro zenon_H396 ].
% 83.92/84.05 apply (zenon_L184_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H281 | zenon_intro zenon_H397 ].
% 83.92/84.05 apply (zenon_L189_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H294 | zenon_intro zenon_H398 ].
% 83.92/84.05 apply (zenon_L193_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H399 ].
% 83.92/84.05 apply (zenon_L198_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H39a ].
% 83.92/84.05 apply (zenon_L204_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H39b ].
% 83.92/84.05 apply (zenon_L206_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H39c ].
% 83.92/84.05 apply (zenon_L209_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H2ce | zenon_intro zenon_H39d ].
% 83.92/84.05 apply (zenon_L220_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2e6 ].
% 83.92/84.05 apply (zenon_L222_); trivial.
% 83.92/84.05 apply (zenon_L227_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H804); [ zenon_intro zenon_H2f2 | zenon_intro zenon_H808 ].
% 83.92/84.05 apply (zenon_L231_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H808); [ zenon_intro zenon_H2ff | zenon_intro zenon_H809 ].
% 83.92/84.05 apply (zenon_L239_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H809); [ zenon_intro zenon_H315 | zenon_intro zenon_H80a ].
% 83.92/84.05 apply (zenon_L248_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80a); [ zenon_intro zenon_H319 | zenon_intro zenon_H80b ].
% 83.92/84.05 apply (zenon_L249_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80b); [ zenon_intro zenon_H333 | zenon_intro zenon_H80c ].
% 83.92/84.05 apply (zenon_L258_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80c); [ zenon_intro zenon_H344 | zenon_intro zenon_H80d ].
% 83.92/84.05 apply (zenon_L267_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80d); [ zenon_intro zenon_H37c | zenon_intro zenon_H80e ].
% 83.92/84.05 apply (zenon_L316_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80e); [ zenon_intro zenon_H3cd | zenon_intro zenon_H80f ].
% 83.92/84.05 apply (zenon_L395_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80f); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H810 ].
% 83.92/84.05 apply (zenon_L396_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H810); [ zenon_intro zenon_H3ff | zenon_intro zenon_H811 ].
% 83.92/84.05 apply (zenon_L431_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H811); [ zenon_intro zenon_H416 | zenon_intro zenon_H812 ].
% 83.92/84.05 apply (zenon_L438_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H812); [ zenon_intro zenon_H431 | zenon_intro zenon_H813 ].
% 83.92/84.05 apply (zenon_L489_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H813); [ zenon_intro zenon_H44a | zenon_intro zenon_H44d ].
% 83.92/84.05 apply (zenon_L505_); trivial.
% 83.92/84.05 apply (zenon_L506_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H5c3); [ zenon_intro zenon_H5c7 | zenon_intro zenon_H5c6 ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H5c7). zenon_intro zenon_H473. zenon_intro zenon_H5c8.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H5c8). zenon_intro zenon_H5ca. zenon_intro zenon_H5c9.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H5c9). zenon_intro zenon_H46d. zenon_intro zenon_H5cb.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H7dc); [ zenon_intro zenon_H9c | zenon_intro zenon_H803 ].
% 83.92/84.05 apply (zenon_L38_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H803); [ zenon_intro zenon_H805 | zenon_intro zenon_H804 ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H805). zenon_intro zenon_H807. zenon_intro zenon_H806.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H806). zenon_intro zenon_H16b. zenon_intro zenon_H1c2.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H380 | zenon_intro zenon_H37f ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H1a. zenon_intro zenon_H381.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H9e. zenon_intro zenon_H382.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H384. zenon_intro zenon_H383.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H1e0. zenon_intro zenon_H385.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L526_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L1026_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H23c | zenon_intro zenon_H386 ].
% 83.92/84.05 apply (zenon_L150_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H388 | zenon_intro zenon_H387 ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H388). zenon_intro zenon_H245. zenon_intro zenon_H389.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L526_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L1028_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H38b | zenon_intro zenon_H38a ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H38b). zenon_intro zenon_H253. zenon_intro zenon_H38c.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H38c). zenon_intro zenon_H3d1. zenon_intro zenon_H3d0.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H3d0). zenon_intro zenon_H24d. zenon_intro zenon_H3d2.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L526_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L1030_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H38e | zenon_intro zenon_H38d ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_H260. zenon_intro zenon_H38f.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L526_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L1032_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H391 | zenon_intro zenon_H390 ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H22a. zenon_intro zenon_H392.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H394. zenon_intro zenon_H393.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H266. zenon_intro zenon_H395.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L526_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L1034_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H275 | zenon_intro zenon_H396 ].
% 83.92/84.05 apply (zenon_L184_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H281 | zenon_intro zenon_H397 ].
% 83.92/84.05 apply (zenon_L189_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H294 | zenon_intro zenon_H398 ].
% 83.92/84.05 apply (zenon_L193_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H399 ].
% 83.92/84.05 apply (zenon_L198_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H39a ].
% 83.92/84.05 apply (zenon_L204_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H39b ].
% 83.92/84.05 apply (zenon_L206_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H39c ].
% 83.92/84.05 apply (zenon_L209_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H2ce | zenon_intro zenon_H39d ].
% 83.92/84.05 apply (zenon_L220_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2e6 ].
% 83.92/84.05 apply (zenon_L222_); trivial.
% 83.92/84.05 apply (zenon_L227_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H804); [ zenon_intro zenon_H2f2 | zenon_intro zenon_H808 ].
% 83.92/84.05 apply (zenon_L231_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H808); [ zenon_intro zenon_H2ff | zenon_intro zenon_H809 ].
% 83.92/84.05 apply (zenon_L239_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H809); [ zenon_intro zenon_H315 | zenon_intro zenon_H80a ].
% 83.92/84.05 apply (zenon_L248_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80a); [ zenon_intro zenon_H319 | zenon_intro zenon_H80b ].
% 83.92/84.05 apply (zenon_L249_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80b); [ zenon_intro zenon_H333 | zenon_intro zenon_H80c ].
% 83.92/84.05 apply (zenon_L258_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80c); [ zenon_intro zenon_H344 | zenon_intro zenon_H80d ].
% 83.92/84.05 apply (zenon_L267_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80d); [ zenon_intro zenon_H37c | zenon_intro zenon_H80e ].
% 83.92/84.05 apply (zenon_L316_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80e); [ zenon_intro zenon_H3cd | zenon_intro zenon_H80f ].
% 83.92/84.05 apply (zenon_L395_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80f); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H810 ].
% 83.92/84.05 apply (zenon_L396_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H810); [ zenon_intro zenon_H3ff | zenon_intro zenon_H811 ].
% 83.92/84.05 apply (zenon_L431_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H811); [ zenon_intro zenon_H416 | zenon_intro zenon_H812 ].
% 83.92/84.05 apply (zenon_L438_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H812); [ zenon_intro zenon_H431 | zenon_intro zenon_H813 ].
% 83.92/84.05 apply (zenon_L489_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H813); [ zenon_intro zenon_H44a | zenon_intro zenon_H44d ].
% 83.92/84.05 apply (zenon_L505_); trivial.
% 83.92/84.05 apply (zenon_L506_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H5c6); [ zenon_intro zenon_H48c | zenon_intro zenon_H5cc ].
% 83.92/84.05 apply (zenon_L544_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H5cc); [ zenon_intro zenon_H4a3 | zenon_intro zenon_H5cd ].
% 83.92/84.05 apply (zenon_L550_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H5cd); [ zenon_intro zenon_H4b0 | zenon_intro zenon_H5ce ].
% 83.92/84.05 apply (zenon_L556_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H5ce); [ zenon_intro zenon_H4bf | zenon_intro zenon_H5cf ].
% 83.92/84.05 apply (zenon_L564_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H5cf); [ zenon_intro zenon_H4d8 | zenon_intro zenon_H5d0 ].
% 83.92/84.05 apply (zenon_L573_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H5d0); [ zenon_intro zenon_H4e4 | zenon_intro zenon_H5d1 ].
% 83.92/84.05 apply (zenon_L575_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H5d1); [ zenon_intro zenon_H4e7 | zenon_intro zenon_H5d2 ].
% 83.92/84.05 apply (zenon_L578_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H5d2); [ zenon_intro zenon_H4f0 | zenon_intro zenon_H5d3 ].
% 83.92/84.05 apply (zenon_L587_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H5d3); [ zenon_intro zenon_H4f9 | zenon_intro zenon_H521 ].
% 83.92/84.05 apply (zenon_L590_); trivial.
% 83.92/84.05 apply (zenon_L615_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H7ff); [ zenon_intro zenon_H52c | zenon_intro zenon_H814 ].
% 83.92/84.05 apply (zenon_L631_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H814); [ zenon_intro zenon_H536 | zenon_intro zenon_H815 ].
% 83.92/84.05 apply (zenon_L637_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H815); [ zenon_intro zenon_H54e | zenon_intro zenon_H816 ].
% 83.92/84.05 apply (zenon_L650_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H816); [ zenon_intro zenon_H550 | zenon_intro zenon_H817 ].
% 83.92/84.05 apply (zenon_L651_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H817); [ zenon_intro zenon_H56b | zenon_intro zenon_H818 ].
% 83.92/84.05 apply (zenon_L678_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H818); [ zenon_intro zenon_H58a | zenon_intro zenon_H819 ].
% 83.92/84.05 apply (zenon_L721_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H819); [ zenon_intro zenon_H5b2 | zenon_intro zenon_H81a ].
% 83.92/84.05 apply (zenon_L769_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H81a); [ zenon_intro zenon_H604 | zenon_intro zenon_H81b ].
% 83.92/84.05 apply (zenon_L836_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H81b); [ zenon_intro zenon_H615 | zenon_intro zenon_H81c ].
% 83.92/84.05 apply (zenon_L837_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H81c); [ zenon_intro zenon_H634 | zenon_intro zenon_H81d ].
% 83.92/84.05 apply (zenon_L877_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H81d); [ zenon_intro zenon_H647 | zenon_intro zenon_H81e ].
% 83.92/84.05 apply (zenon_L888_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H81e); [ zenon_intro zenon_H662 | zenon_intro zenon_H81f ].
% 83.92/84.05 apply (zenon_L943_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H81f); [ zenon_intro zenon_H677 | zenon_intro zenon_H67a ].
% 83.92/84.05 apply (zenon_L965_); trivial.
% 83.92/84.05 apply (zenon_L966_); trivial.
% 83.92/84.05 apply (zenon_notand_s _ _ zenon_H825); [ zenon_intro zenon_H6c8 | zenon_intro zenon_H826 ].
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H7dd); [ zenon_intro zenon_H97 | zenon_intro zenon_H7fe ].
% 83.92/84.05 apply (zenon_L37_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H7fe); [ zenon_intro zenon_H800 | zenon_intro zenon_H7ff ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H800). zenon_intro zenon_H802. zenon_intro zenon_H801.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H801). zenon_intro zenon_Hba. zenon_intro zenon_H14b.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H5b3); [ zenon_intro zenon_H5b6 | zenon_intro zenon_H5b5 ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H5b6). zenon_intro zenon_Hb5. zenon_intro zenon_H5b7.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H5b7). zenon_intro zenon_H99. zenon_intro zenon_H5b8.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H5b8). zenon_intro zenon_H5ba. zenon_intro zenon_H5b9.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H5b9). zenon_intro zenon_H155. zenon_intro zenon_H5bb.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H7dc); [ zenon_intro zenon_H9c | zenon_intro zenon_H803 ].
% 83.92/84.05 apply (zenon_L38_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H803); [ zenon_intro zenon_H805 | zenon_intro zenon_H804 ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H805). zenon_intro zenon_H807. zenon_intro zenon_H806.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H806). zenon_intro zenon_H16b. zenon_intro zenon_H1c2.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H380 | zenon_intro zenon_H37f ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H1a. zenon_intro zenon_H381.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H9e. zenon_intro zenon_H382.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H384. zenon_intro zenon_H383.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H1e0. zenon_intro zenon_H385.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L89_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L1040_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H23c | zenon_intro zenon_H386 ].
% 83.92/84.05 apply (zenon_L150_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H388 | zenon_intro zenon_H387 ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H388). zenon_intro zenon_H245. zenon_intro zenon_H389.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L89_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L1044_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H38b | zenon_intro zenon_H38a ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H38b). zenon_intro zenon_H253. zenon_intro zenon_H38c.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H38c). zenon_intro zenon_H3d1. zenon_intro zenon_H3d0.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H3d0). zenon_intro zenon_H24d. zenon_intro zenon_H3d2.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L89_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L1048_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H38e | zenon_intro zenon_H38d ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_H260. zenon_intro zenon_H38f.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L89_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L1052_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H391 | zenon_intro zenon_H390 ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H22a. zenon_intro zenon_H392.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H394. zenon_intro zenon_H393.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H266. zenon_intro zenon_H395.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L89_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L1056_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H275 | zenon_intro zenon_H396 ].
% 83.92/84.05 apply (zenon_L184_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H281 | zenon_intro zenon_H397 ].
% 83.92/84.05 apply (zenon_L189_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H294 | zenon_intro zenon_H398 ].
% 83.92/84.05 apply (zenon_L193_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H399 ].
% 83.92/84.05 apply (zenon_L198_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H39a ].
% 83.92/84.05 apply (zenon_L204_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H39b ].
% 83.92/84.05 apply (zenon_L206_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H39c ].
% 83.92/84.05 apply (zenon_L209_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H2ce | zenon_intro zenon_H39d ].
% 83.92/84.05 apply (zenon_L220_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2e6 ].
% 83.92/84.05 apply (zenon_L222_); trivial.
% 83.92/84.05 apply (zenon_L227_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H804); [ zenon_intro zenon_H2f2 | zenon_intro zenon_H808 ].
% 83.92/84.05 apply (zenon_L231_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H808); [ zenon_intro zenon_H2ff | zenon_intro zenon_H809 ].
% 83.92/84.05 apply (zenon_L239_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H809); [ zenon_intro zenon_H315 | zenon_intro zenon_H80a ].
% 83.92/84.05 apply (zenon_L248_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80a); [ zenon_intro zenon_H319 | zenon_intro zenon_H80b ].
% 83.92/84.05 apply (zenon_L249_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80b); [ zenon_intro zenon_H333 | zenon_intro zenon_H80c ].
% 83.92/84.05 apply (zenon_L258_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80c); [ zenon_intro zenon_H344 | zenon_intro zenon_H80d ].
% 83.92/84.05 apply (zenon_L267_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80d); [ zenon_intro zenon_H37c | zenon_intro zenon_H80e ].
% 83.92/84.05 apply (zenon_L316_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80e); [ zenon_intro zenon_H3cd | zenon_intro zenon_H80f ].
% 83.92/84.05 apply (zenon_L395_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H80f); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H810 ].
% 83.92/84.05 apply (zenon_L396_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H810); [ zenon_intro zenon_H3ff | zenon_intro zenon_H811 ].
% 83.92/84.05 apply (zenon_L431_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H811); [ zenon_intro zenon_H416 | zenon_intro zenon_H812 ].
% 83.92/84.05 apply (zenon_L438_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H812); [ zenon_intro zenon_H431 | zenon_intro zenon_H813 ].
% 83.92/84.05 apply (zenon_L489_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H813); [ zenon_intro zenon_H44a | zenon_intro zenon_H44d ].
% 83.92/84.05 apply (zenon_L505_); trivial.
% 83.92/84.05 apply (zenon_L506_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H5b5); [ zenon_intro zenon_H456 | zenon_intro zenon_H5bc ].
% 83.92/84.05 apply (zenon_L509_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H5bc); [ zenon_intro zenon_H5be | zenon_intro zenon_H5bd ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H5be). zenon_intro zenon_H45b. zenon_intro zenon_H5bf.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H7dc); [ zenon_intro zenon_H9c | zenon_intro zenon_H803 ].
% 83.92/84.05 apply (zenon_L38_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H803); [ zenon_intro zenon_H805 | zenon_intro zenon_H804 ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H805). zenon_intro zenon_H807. zenon_intro zenon_H806.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H806). zenon_intro zenon_H16b. zenon_intro zenon_H1c2.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H380 | zenon_intro zenon_H37f ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H1a. zenon_intro zenon_H381.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H9e. zenon_intro zenon_H382.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H384. zenon_intro zenon_H383.
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H1e0. zenon_intro zenon_H385.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L511_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L1040_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H23c | zenon_intro zenon_H386 ].
% 83.92/84.05 apply (zenon_L150_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H388 | zenon_intro zenon_H387 ].
% 83.92/84.05 apply (zenon_and_s _ _ zenon_H388). zenon_intro zenon_H245. zenon_intro zenon_H389.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.05 apply (zenon_L40_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.05 apply (zenon_L511_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.05 apply (zenon_L1044_); trivial.
% 83.92/84.05 apply (zenon_L143_); trivial.
% 83.92/84.05 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H38b | zenon_intro zenon_H38a ].
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H38b). zenon_intro zenon_H253. zenon_intro zenon_H38c.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H38c). zenon_intro zenon_H3d1. zenon_intro zenon_H3d0.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H3d0). zenon_intro zenon_H24d. zenon_intro zenon_H3d2.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.06 apply (zenon_L40_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.06 apply (zenon_L511_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.06 apply (zenon_L1048_); trivial.
% 83.92/84.06 apply (zenon_L143_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H38e | zenon_intro zenon_H38d ].
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_H260. zenon_intro zenon_H38f.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.06 apply (zenon_L40_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.06 apply (zenon_L511_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.06 apply (zenon_L1052_); trivial.
% 83.92/84.06 apply (zenon_L143_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H391 | zenon_intro zenon_H390 ].
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H22a. zenon_intro zenon_H392.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H394. zenon_intro zenon_H393.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H266. zenon_intro zenon_H395.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.06 apply (zenon_L40_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.06 apply (zenon_L511_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.06 apply (zenon_L1056_); trivial.
% 83.92/84.06 apply (zenon_L143_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H275 | zenon_intro zenon_H396 ].
% 83.92/84.06 apply (zenon_L184_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H281 | zenon_intro zenon_H397 ].
% 83.92/84.06 apply (zenon_L189_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H294 | zenon_intro zenon_H398 ].
% 83.92/84.06 apply (zenon_L193_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H399 ].
% 83.92/84.06 apply (zenon_L198_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H39a ].
% 83.92/84.06 apply (zenon_L204_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H39b ].
% 83.92/84.06 apply (zenon_L206_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H39c ].
% 83.92/84.06 apply (zenon_L209_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H2ce | zenon_intro zenon_H39d ].
% 83.92/84.06 apply (zenon_L220_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2e6 ].
% 83.92/84.06 apply (zenon_L222_); trivial.
% 83.92/84.06 apply (zenon_L227_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H804); [ zenon_intro zenon_H2f2 | zenon_intro zenon_H808 ].
% 83.92/84.06 apply (zenon_L231_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H808); [ zenon_intro zenon_H2ff | zenon_intro zenon_H809 ].
% 83.92/84.06 apply (zenon_L239_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H809); [ zenon_intro zenon_H315 | zenon_intro zenon_H80a ].
% 83.92/84.06 apply (zenon_L248_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H80a); [ zenon_intro zenon_H319 | zenon_intro zenon_H80b ].
% 83.92/84.06 apply (zenon_L249_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H80b); [ zenon_intro zenon_H333 | zenon_intro zenon_H80c ].
% 83.92/84.06 apply (zenon_L258_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H80c); [ zenon_intro zenon_H344 | zenon_intro zenon_H80d ].
% 83.92/84.06 apply (zenon_L267_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H80d); [ zenon_intro zenon_H37c | zenon_intro zenon_H80e ].
% 83.92/84.06 apply (zenon_L316_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H80e); [ zenon_intro zenon_H3cd | zenon_intro zenon_H80f ].
% 83.92/84.06 apply (zenon_L395_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H80f); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H810 ].
% 83.92/84.06 apply (zenon_L396_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H810); [ zenon_intro zenon_H3ff | zenon_intro zenon_H811 ].
% 83.92/84.06 apply (zenon_L431_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H811); [ zenon_intro zenon_H416 | zenon_intro zenon_H812 ].
% 83.92/84.06 apply (zenon_L438_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H812); [ zenon_intro zenon_H431 | zenon_intro zenon_H813 ].
% 83.92/84.06 apply (zenon_L489_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H813); [ zenon_intro zenon_H44a | zenon_intro zenon_H44d ].
% 83.92/84.06 apply (zenon_L505_); trivial.
% 83.92/84.06 apply (zenon_L506_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H5bd); [ zenon_intro zenon_H5c1 | zenon_intro zenon_H5c0 ].
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H5c1). zenon_intro zenon_H463. zenon_intro zenon_H5c2.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H7dc); [ zenon_intro zenon_H9c | zenon_intro zenon_H803 ].
% 83.92/84.06 apply (zenon_L38_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H803); [ zenon_intro zenon_H805 | zenon_intro zenon_H804 ].
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H805). zenon_intro zenon_H807. zenon_intro zenon_H806.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H806). zenon_intro zenon_H16b. zenon_intro zenon_H1c2.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H380 | zenon_intro zenon_H37f ].
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H1a. zenon_intro zenon_H381.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H9e. zenon_intro zenon_H382.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H384. zenon_intro zenon_H383.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H1e0. zenon_intro zenon_H385.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.06 apply (zenon_L40_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.06 apply (zenon_L520_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.06 apply (zenon_L1040_); trivial.
% 83.92/84.06 apply (zenon_L143_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H23c | zenon_intro zenon_H386 ].
% 83.92/84.06 apply (zenon_L150_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H388 | zenon_intro zenon_H387 ].
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H388). zenon_intro zenon_H245. zenon_intro zenon_H389.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.06 apply (zenon_L40_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.06 apply (zenon_L520_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.06 apply (zenon_L1044_); trivial.
% 83.92/84.06 apply (zenon_L143_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H38b | zenon_intro zenon_H38a ].
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H38b). zenon_intro zenon_H253. zenon_intro zenon_H38c.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H38c). zenon_intro zenon_H3d1. zenon_intro zenon_H3d0.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H3d0). zenon_intro zenon_H24d. zenon_intro zenon_H3d2.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.06 apply (zenon_L40_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.06 apply (zenon_L520_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.06 apply (zenon_L1048_); trivial.
% 83.92/84.06 apply (zenon_L143_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H38e | zenon_intro zenon_H38d ].
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_H260. zenon_intro zenon_H38f.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.06 apply (zenon_L40_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.06 apply (zenon_L520_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.06 apply (zenon_L1052_); trivial.
% 83.92/84.06 apply (zenon_L143_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H391 | zenon_intro zenon_H390 ].
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H22a. zenon_intro zenon_H392.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H394. zenon_intro zenon_H393.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H266. zenon_intro zenon_H395.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.06 apply (zenon_L40_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.06 apply (zenon_L520_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.06 apply (zenon_L1056_); trivial.
% 83.92/84.06 apply (zenon_L143_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H275 | zenon_intro zenon_H396 ].
% 83.92/84.06 apply (zenon_L184_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H281 | zenon_intro zenon_H397 ].
% 83.92/84.06 apply (zenon_L189_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H294 | zenon_intro zenon_H398 ].
% 83.92/84.06 apply (zenon_L193_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H399 ].
% 83.92/84.06 apply (zenon_L198_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H39a ].
% 83.92/84.06 apply (zenon_L204_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H39b ].
% 83.92/84.06 apply (zenon_L206_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H39c ].
% 83.92/84.06 apply (zenon_L209_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H2ce | zenon_intro zenon_H39d ].
% 83.92/84.06 apply (zenon_L220_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2e6 ].
% 83.92/84.06 apply (zenon_L222_); trivial.
% 83.92/84.06 apply (zenon_L227_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H804); [ zenon_intro zenon_H2f2 | zenon_intro zenon_H808 ].
% 83.92/84.06 apply (zenon_L231_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H808); [ zenon_intro zenon_H2ff | zenon_intro zenon_H809 ].
% 83.92/84.06 apply (zenon_L239_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H809); [ zenon_intro zenon_H315 | zenon_intro zenon_H80a ].
% 83.92/84.06 apply (zenon_L248_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H80a); [ zenon_intro zenon_H319 | zenon_intro zenon_H80b ].
% 83.92/84.06 apply (zenon_L249_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H80b); [ zenon_intro zenon_H333 | zenon_intro zenon_H80c ].
% 83.92/84.06 apply (zenon_L258_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H80c); [ zenon_intro zenon_H344 | zenon_intro zenon_H80d ].
% 83.92/84.06 apply (zenon_L267_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H80d); [ zenon_intro zenon_H37c | zenon_intro zenon_H80e ].
% 83.92/84.06 apply (zenon_L316_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H80e); [ zenon_intro zenon_H3cd | zenon_intro zenon_H80f ].
% 83.92/84.06 apply (zenon_L395_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H80f); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H810 ].
% 83.92/84.06 apply (zenon_L396_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H810); [ zenon_intro zenon_H3ff | zenon_intro zenon_H811 ].
% 83.92/84.06 apply (zenon_L431_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H811); [ zenon_intro zenon_H416 | zenon_intro zenon_H812 ].
% 83.92/84.06 apply (zenon_L438_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H812); [ zenon_intro zenon_H431 | zenon_intro zenon_H813 ].
% 83.92/84.06 apply (zenon_L489_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H813); [ zenon_intro zenon_H44a | zenon_intro zenon_H44d ].
% 83.92/84.06 apply (zenon_L505_); trivial.
% 83.92/84.06 apply (zenon_L506_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H5c0); [ zenon_intro zenon_H5c4 | zenon_intro zenon_H5c3 ].
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H5c4). zenon_intro zenon_H467. zenon_intro zenon_H5c5.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H7dc); [ zenon_intro zenon_H9c | zenon_intro zenon_H803 ].
% 83.92/84.06 apply (zenon_L38_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H803); [ zenon_intro zenon_H805 | zenon_intro zenon_H804 ].
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H805). zenon_intro zenon_H807. zenon_intro zenon_H806.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H806). zenon_intro zenon_H16b. zenon_intro zenon_H1c2.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H380 | zenon_intro zenon_H37f ].
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H1a. zenon_intro zenon_H381.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H9e. zenon_intro zenon_H382.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H384. zenon_intro zenon_H383.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H1e0. zenon_intro zenon_H385.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.06 apply (zenon_L40_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.06 apply (zenon_L522_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.06 apply (zenon_L1040_); trivial.
% 83.92/84.06 apply (zenon_L143_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H23c | zenon_intro zenon_H386 ].
% 83.92/84.06 apply (zenon_L150_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H388 | zenon_intro zenon_H387 ].
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H388). zenon_intro zenon_H245. zenon_intro zenon_H389.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.06 apply (zenon_L40_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.06 apply (zenon_L522_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.06 apply (zenon_L1044_); trivial.
% 83.92/84.06 apply (zenon_L143_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H38b | zenon_intro zenon_H38a ].
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H38b). zenon_intro zenon_H253. zenon_intro zenon_H38c.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H38c). zenon_intro zenon_H3d1. zenon_intro zenon_H3d0.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H3d0). zenon_intro zenon_H24d. zenon_intro zenon_H3d2.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.06 apply (zenon_L40_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.06 apply (zenon_L522_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.06 apply (zenon_L1048_); trivial.
% 83.92/84.06 apply (zenon_L143_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H38e | zenon_intro zenon_H38d ].
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_H260. zenon_intro zenon_H38f.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.06 apply (zenon_L40_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.06 apply (zenon_L522_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.06 apply (zenon_L1052_); trivial.
% 83.92/84.06 apply (zenon_L143_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H391 | zenon_intro zenon_H390 ].
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H22a. zenon_intro zenon_H392.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H394. zenon_intro zenon_H393.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H266. zenon_intro zenon_H395.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.06 apply (zenon_L40_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.06 apply (zenon_L522_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.06 apply (zenon_L1056_); trivial.
% 83.92/84.06 apply (zenon_L143_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H275 | zenon_intro zenon_H396 ].
% 83.92/84.06 apply (zenon_L184_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H281 | zenon_intro zenon_H397 ].
% 83.92/84.06 apply (zenon_L189_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H294 | zenon_intro zenon_H398 ].
% 83.92/84.06 apply (zenon_L193_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H399 ].
% 83.92/84.06 apply (zenon_L198_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H39a ].
% 83.92/84.06 apply (zenon_L204_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H39b ].
% 83.92/84.06 apply (zenon_L206_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H39c ].
% 83.92/84.06 apply (zenon_L209_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H2ce | zenon_intro zenon_H39d ].
% 83.92/84.06 apply (zenon_L220_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2e6 ].
% 83.92/84.06 apply (zenon_L222_); trivial.
% 83.92/84.06 apply (zenon_L227_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H804); [ zenon_intro zenon_H2f2 | zenon_intro zenon_H808 ].
% 83.92/84.06 apply (zenon_L231_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H808); [ zenon_intro zenon_H2ff | zenon_intro zenon_H809 ].
% 83.92/84.06 apply (zenon_L239_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H809); [ zenon_intro zenon_H315 | zenon_intro zenon_H80a ].
% 83.92/84.06 apply (zenon_L248_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H80a); [ zenon_intro zenon_H319 | zenon_intro zenon_H80b ].
% 83.92/84.06 apply (zenon_L249_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H80b); [ zenon_intro zenon_H333 | zenon_intro zenon_H80c ].
% 83.92/84.06 apply (zenon_L258_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H80c); [ zenon_intro zenon_H344 | zenon_intro zenon_H80d ].
% 83.92/84.06 apply (zenon_L267_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H80d); [ zenon_intro zenon_H37c | zenon_intro zenon_H80e ].
% 83.92/84.06 apply (zenon_L316_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H80e); [ zenon_intro zenon_H3cd | zenon_intro zenon_H80f ].
% 83.92/84.06 apply (zenon_L395_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H80f); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H810 ].
% 83.92/84.06 apply (zenon_L396_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H810); [ zenon_intro zenon_H3ff | zenon_intro zenon_H811 ].
% 83.92/84.06 apply (zenon_L431_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H811); [ zenon_intro zenon_H416 | zenon_intro zenon_H812 ].
% 83.92/84.06 apply (zenon_L438_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H812); [ zenon_intro zenon_H431 | zenon_intro zenon_H813 ].
% 83.92/84.06 apply (zenon_L489_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H813); [ zenon_intro zenon_H44a | zenon_intro zenon_H44d ].
% 83.92/84.06 apply (zenon_L505_); trivial.
% 83.92/84.06 apply (zenon_L506_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H5c3); [ zenon_intro zenon_H5c7 | zenon_intro zenon_H5c6 ].
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H5c7). zenon_intro zenon_H473. zenon_intro zenon_H5c8.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H5c8). zenon_intro zenon_H5ca. zenon_intro zenon_H5c9.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H5c9). zenon_intro zenon_H46d. zenon_intro zenon_H5cb.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H7dc); [ zenon_intro zenon_H9c | zenon_intro zenon_H803 ].
% 83.92/84.06 apply (zenon_L38_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H803); [ zenon_intro zenon_H805 | zenon_intro zenon_H804 ].
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H805). zenon_intro zenon_H807. zenon_intro zenon_H806.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H806). zenon_intro zenon_H16b. zenon_intro zenon_H1c2.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H380 | zenon_intro zenon_H37f ].
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H1a. zenon_intro zenon_H381.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H9e. zenon_intro zenon_H382.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H384. zenon_intro zenon_H383.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H1e0. zenon_intro zenon_H385.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.06 apply (zenon_L40_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.06 apply (zenon_L526_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.06 apply (zenon_L1040_); trivial.
% 83.92/84.06 apply (zenon_L143_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H23c | zenon_intro zenon_H386 ].
% 83.92/84.06 apply (zenon_L150_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H388 | zenon_intro zenon_H387 ].
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H388). zenon_intro zenon_H245. zenon_intro zenon_H389.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.06 apply (zenon_L40_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.06 apply (zenon_L526_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.06 apply (zenon_L1044_); trivial.
% 83.92/84.06 apply (zenon_L143_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H38b | zenon_intro zenon_H38a ].
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H38b). zenon_intro zenon_H253. zenon_intro zenon_H38c.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H38c). zenon_intro zenon_H3d1. zenon_intro zenon_H3d0.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H3d0). zenon_intro zenon_H24d. zenon_intro zenon_H3d2.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.06 apply (zenon_L40_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.06 apply (zenon_L526_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.06 apply (zenon_L1048_); trivial.
% 83.92/84.06 apply (zenon_L143_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H38e | zenon_intro zenon_H38d ].
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_H260. zenon_intro zenon_H38f.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.06 apply (zenon_L40_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.06 apply (zenon_L526_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.06 apply (zenon_L1052_); trivial.
% 83.92/84.06 apply (zenon_L143_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H391 | zenon_intro zenon_H390 ].
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H22a. zenon_intro zenon_H392.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H394. zenon_intro zenon_H393.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H266. zenon_intro zenon_H395.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.06 apply (zenon_L40_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.06 apply (zenon_L526_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.06 apply (zenon_L1056_); trivial.
% 83.92/84.06 apply (zenon_L143_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H275 | zenon_intro zenon_H396 ].
% 83.92/84.06 apply (zenon_L184_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H281 | zenon_intro zenon_H397 ].
% 83.92/84.06 apply (zenon_L189_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H294 | zenon_intro zenon_H398 ].
% 83.92/84.06 apply (zenon_L193_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H399 ].
% 83.92/84.06 apply (zenon_L198_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H39a ].
% 83.92/84.06 apply (zenon_L204_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H39b ].
% 83.92/84.06 apply (zenon_L206_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H39c ].
% 83.92/84.06 apply (zenon_L209_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H2ce | zenon_intro zenon_H39d ].
% 83.92/84.06 apply (zenon_L220_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2e6 ].
% 83.92/84.06 apply (zenon_L222_); trivial.
% 83.92/84.06 apply (zenon_L227_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H804); [ zenon_intro zenon_H2f2 | zenon_intro zenon_H808 ].
% 83.92/84.06 apply (zenon_L231_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H808); [ zenon_intro zenon_H2ff | zenon_intro zenon_H809 ].
% 83.92/84.06 apply (zenon_L239_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H809); [ zenon_intro zenon_H315 | zenon_intro zenon_H80a ].
% 83.92/84.06 apply (zenon_L248_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H80a); [ zenon_intro zenon_H319 | zenon_intro zenon_H80b ].
% 83.92/84.06 apply (zenon_L249_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H80b); [ zenon_intro zenon_H333 | zenon_intro zenon_H80c ].
% 83.92/84.06 apply (zenon_L258_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H80c); [ zenon_intro zenon_H344 | zenon_intro zenon_H80d ].
% 83.92/84.06 apply (zenon_L267_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H80d); [ zenon_intro zenon_H37c | zenon_intro zenon_H80e ].
% 83.92/84.06 apply (zenon_L316_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H80e); [ zenon_intro zenon_H3cd | zenon_intro zenon_H80f ].
% 83.92/84.06 apply (zenon_L395_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H80f); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H810 ].
% 83.92/84.06 apply (zenon_L396_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H810); [ zenon_intro zenon_H3ff | zenon_intro zenon_H811 ].
% 83.92/84.06 apply (zenon_L431_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H811); [ zenon_intro zenon_H416 | zenon_intro zenon_H812 ].
% 83.92/84.06 apply (zenon_L438_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H812); [ zenon_intro zenon_H431 | zenon_intro zenon_H813 ].
% 83.92/84.06 apply (zenon_L489_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H813); [ zenon_intro zenon_H44a | zenon_intro zenon_H44d ].
% 83.92/84.06 apply (zenon_L505_); trivial.
% 83.92/84.06 apply (zenon_L506_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H5c6); [ zenon_intro zenon_H48c | zenon_intro zenon_H5cc ].
% 83.92/84.06 apply (zenon_L544_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H5cc); [ zenon_intro zenon_H4a3 | zenon_intro zenon_H5cd ].
% 83.92/84.06 apply (zenon_L550_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H5cd); [ zenon_intro zenon_H4b0 | zenon_intro zenon_H5ce ].
% 83.92/84.06 apply (zenon_L556_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H5ce); [ zenon_intro zenon_H4bf | zenon_intro zenon_H5cf ].
% 83.92/84.06 apply (zenon_L564_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H5cf); [ zenon_intro zenon_H4d8 | zenon_intro zenon_H5d0 ].
% 83.92/84.06 apply (zenon_L573_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H5d0); [ zenon_intro zenon_H4e4 | zenon_intro zenon_H5d1 ].
% 83.92/84.06 apply (zenon_L575_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H5d1); [ zenon_intro zenon_H4e7 | zenon_intro zenon_H5d2 ].
% 83.92/84.06 apply (zenon_L578_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H5d2); [ zenon_intro zenon_H4f0 | zenon_intro zenon_H5d3 ].
% 83.92/84.06 apply (zenon_L587_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H5d3); [ zenon_intro zenon_H4f9 | zenon_intro zenon_H521 ].
% 83.92/84.06 apply (zenon_L590_); trivial.
% 83.92/84.06 apply (zenon_L615_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H7ff); [ zenon_intro zenon_H52c | zenon_intro zenon_H814 ].
% 83.92/84.06 apply (zenon_L631_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H814); [ zenon_intro zenon_H536 | zenon_intro zenon_H815 ].
% 83.92/84.06 apply (zenon_L637_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H815); [ zenon_intro zenon_H54e | zenon_intro zenon_H816 ].
% 83.92/84.06 apply (zenon_L650_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H816); [ zenon_intro zenon_H550 | zenon_intro zenon_H817 ].
% 83.92/84.06 apply (zenon_L651_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H817); [ zenon_intro zenon_H56b | zenon_intro zenon_H818 ].
% 83.92/84.06 apply (zenon_L678_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H818); [ zenon_intro zenon_H58a | zenon_intro zenon_H819 ].
% 83.92/84.06 apply (zenon_L721_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H819); [ zenon_intro zenon_H5b2 | zenon_intro zenon_H81a ].
% 83.92/84.06 apply (zenon_L769_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H81a); [ zenon_intro zenon_H604 | zenon_intro zenon_H81b ].
% 83.92/84.06 apply (zenon_L836_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H81b); [ zenon_intro zenon_H615 | zenon_intro zenon_H81c ].
% 83.92/84.06 apply (zenon_L837_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H81c); [ zenon_intro zenon_H634 | zenon_intro zenon_H81d ].
% 83.92/84.06 apply (zenon_L877_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H81d); [ zenon_intro zenon_H647 | zenon_intro zenon_H81e ].
% 83.92/84.06 apply (zenon_L888_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H81e); [ zenon_intro zenon_H662 | zenon_intro zenon_H81f ].
% 83.92/84.06 apply (zenon_L943_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H81f); [ zenon_intro zenon_H677 | zenon_intro zenon_H67a ].
% 83.92/84.06 apply (zenon_L965_); trivial.
% 83.92/84.06 apply (zenon_L966_); trivial.
% 83.92/84.06 apply (zenon_notand_s _ _ zenon_H826); [ zenon_intro zenon_H6d3 | zenon_intro zenon_H827 ].
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H7dd); [ zenon_intro zenon_H97 | zenon_intro zenon_H7fe ].
% 83.92/84.06 apply (zenon_L37_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H7fe); [ zenon_intro zenon_H800 | zenon_intro zenon_H7ff ].
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H800). zenon_intro zenon_H802. zenon_intro zenon_H801.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H801). zenon_intro zenon_Hba. zenon_intro zenon_H14b.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H5b3); [ zenon_intro zenon_H5b6 | zenon_intro zenon_H5b5 ].
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H5b6). zenon_intro zenon_Hb5. zenon_intro zenon_H5b7.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H5b7). zenon_intro zenon_H99. zenon_intro zenon_H5b8.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H5b8). zenon_intro zenon_H5ba. zenon_intro zenon_H5b9.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H5b9). zenon_intro zenon_H155. zenon_intro zenon_H5bb.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H7dc); [ zenon_intro zenon_H9c | zenon_intro zenon_H803 ].
% 83.92/84.06 apply (zenon_L38_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H803); [ zenon_intro zenon_H805 | zenon_intro zenon_H804 ].
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H805). zenon_intro zenon_H807. zenon_intro zenon_H806.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H806). zenon_intro zenon_H16b. zenon_intro zenon_H1c2.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H380 | zenon_intro zenon_H37f ].
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H1a. zenon_intro zenon_H381.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H9e. zenon_intro zenon_H382.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H384. zenon_intro zenon_H383.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H1e0. zenon_intro zenon_H385.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.06 apply (zenon_L40_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.06 apply (zenon_L89_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.06 apply (zenon_L1058_); trivial.
% 83.92/84.06 apply (zenon_L143_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H23c | zenon_intro zenon_H386 ].
% 83.92/84.06 apply (zenon_L150_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H388 | zenon_intro zenon_H387 ].
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H388). zenon_intro zenon_H245. zenon_intro zenon_H389.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.06 apply (zenon_L40_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.06 apply (zenon_L89_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.06 apply (zenon_L1059_); trivial.
% 83.92/84.06 apply (zenon_L143_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H38b | zenon_intro zenon_H38a ].
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H38b). zenon_intro zenon_H253. zenon_intro zenon_H38c.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H38c). zenon_intro zenon_H3d1. zenon_intro zenon_H3d0.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H3d0). zenon_intro zenon_H24d. zenon_intro zenon_H3d2.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.06 apply (zenon_L40_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.06 apply (zenon_L89_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.06 apply (zenon_L1060_); trivial.
% 83.92/84.06 apply (zenon_L143_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H38e | zenon_intro zenon_H38d ].
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_H260. zenon_intro zenon_H38f.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.06 apply (zenon_L40_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.06 apply (zenon_L89_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.06 apply (zenon_L1061_); trivial.
% 83.92/84.06 apply (zenon_L143_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H391 | zenon_intro zenon_H390 ].
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H22a. zenon_intro zenon_H392.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H394. zenon_intro zenon_H393.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H266. zenon_intro zenon_H395.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.06 apply (zenon_L40_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.06 apply (zenon_L89_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.06 apply (zenon_L1062_); trivial.
% 83.92/84.06 apply (zenon_L143_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H275 | zenon_intro zenon_H396 ].
% 83.92/84.06 apply (zenon_L184_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H281 | zenon_intro zenon_H397 ].
% 83.92/84.06 apply (zenon_L189_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H294 | zenon_intro zenon_H398 ].
% 83.92/84.06 apply (zenon_L193_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H399 ].
% 83.92/84.06 apply (zenon_L198_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H39a ].
% 83.92/84.06 apply (zenon_L204_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H39b ].
% 83.92/84.06 apply (zenon_L206_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H39c ].
% 83.92/84.06 apply (zenon_L209_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H2ce | zenon_intro zenon_H39d ].
% 83.92/84.06 apply (zenon_L220_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2e6 ].
% 83.92/84.06 apply (zenon_L222_); trivial.
% 83.92/84.06 apply (zenon_L227_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H804); [ zenon_intro zenon_H2f2 | zenon_intro zenon_H808 ].
% 83.92/84.06 apply (zenon_L231_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H808); [ zenon_intro zenon_H2ff | zenon_intro zenon_H809 ].
% 83.92/84.06 apply (zenon_L239_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H809); [ zenon_intro zenon_H315 | zenon_intro zenon_H80a ].
% 83.92/84.06 apply (zenon_L248_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H80a); [ zenon_intro zenon_H319 | zenon_intro zenon_H80b ].
% 83.92/84.06 apply (zenon_L249_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H80b); [ zenon_intro zenon_H333 | zenon_intro zenon_H80c ].
% 83.92/84.06 apply (zenon_L258_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H80c); [ zenon_intro zenon_H344 | zenon_intro zenon_H80d ].
% 83.92/84.06 apply (zenon_L267_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H80d); [ zenon_intro zenon_H37c | zenon_intro zenon_H80e ].
% 83.92/84.06 apply (zenon_L316_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H80e); [ zenon_intro zenon_H3cd | zenon_intro zenon_H80f ].
% 83.92/84.06 apply (zenon_L395_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H80f); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H810 ].
% 83.92/84.06 apply (zenon_L396_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H810); [ zenon_intro zenon_H3ff | zenon_intro zenon_H811 ].
% 83.92/84.06 apply (zenon_L431_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H811); [ zenon_intro zenon_H416 | zenon_intro zenon_H812 ].
% 83.92/84.06 apply (zenon_L438_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H812); [ zenon_intro zenon_H431 | zenon_intro zenon_H813 ].
% 83.92/84.06 apply (zenon_L489_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H813); [ zenon_intro zenon_H44a | zenon_intro zenon_H44d ].
% 83.92/84.06 apply (zenon_L505_); trivial.
% 83.92/84.06 apply (zenon_L506_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H5b5); [ zenon_intro zenon_H456 | zenon_intro zenon_H5bc ].
% 83.92/84.06 apply (zenon_L509_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H5bc); [ zenon_intro zenon_H5be | zenon_intro zenon_H5bd ].
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H5be). zenon_intro zenon_H45b. zenon_intro zenon_H5bf.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H7dc); [ zenon_intro zenon_H9c | zenon_intro zenon_H803 ].
% 83.92/84.06 apply (zenon_L38_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H803); [ zenon_intro zenon_H805 | zenon_intro zenon_H804 ].
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H805). zenon_intro zenon_H807. zenon_intro zenon_H806.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H806). zenon_intro zenon_H16b. zenon_intro zenon_H1c2.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H380 | zenon_intro zenon_H37f ].
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H1a. zenon_intro zenon_H381.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H9e. zenon_intro zenon_H382.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H384. zenon_intro zenon_H383.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H1e0. zenon_intro zenon_H385.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.06 apply (zenon_L40_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.06 apply (zenon_L511_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.06 apply (zenon_L1058_); trivial.
% 83.92/84.06 apply (zenon_L143_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H23c | zenon_intro zenon_H386 ].
% 83.92/84.06 apply (zenon_L150_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H388 | zenon_intro zenon_H387 ].
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H388). zenon_intro zenon_H245. zenon_intro zenon_H389.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.06 apply (zenon_L40_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.06 apply (zenon_L511_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.06 apply (zenon_L1059_); trivial.
% 83.92/84.06 apply (zenon_L143_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H38b | zenon_intro zenon_H38a ].
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H38b). zenon_intro zenon_H253. zenon_intro zenon_H38c.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H38c). zenon_intro zenon_H3d1. zenon_intro zenon_H3d0.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H3d0). zenon_intro zenon_H24d. zenon_intro zenon_H3d2.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.06 apply (zenon_L40_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.06 apply (zenon_L511_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.06 apply (zenon_L1060_); trivial.
% 83.92/84.06 apply (zenon_L143_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H38e | zenon_intro zenon_H38d ].
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_H260. zenon_intro zenon_H38f.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.06 apply (zenon_L40_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.06 apply (zenon_L511_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.06 apply (zenon_L1061_); trivial.
% 83.92/84.06 apply (zenon_L143_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H391 | zenon_intro zenon_H390 ].
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H22a. zenon_intro zenon_H392.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H394. zenon_intro zenon_H393.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H266. zenon_intro zenon_H395.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.06 apply (zenon_L40_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.06 apply (zenon_L511_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.06 apply (zenon_L1062_); trivial.
% 83.92/84.06 apply (zenon_L143_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H275 | zenon_intro zenon_H396 ].
% 83.92/84.06 apply (zenon_L184_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H281 | zenon_intro zenon_H397 ].
% 83.92/84.06 apply (zenon_L189_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H294 | zenon_intro zenon_H398 ].
% 83.92/84.06 apply (zenon_L193_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H399 ].
% 83.92/84.06 apply (zenon_L198_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H39a ].
% 83.92/84.06 apply (zenon_L204_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H39b ].
% 83.92/84.06 apply (zenon_L206_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H39c ].
% 83.92/84.06 apply (zenon_L209_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H2ce | zenon_intro zenon_H39d ].
% 83.92/84.06 apply (zenon_L220_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2e6 ].
% 83.92/84.06 apply (zenon_L222_); trivial.
% 83.92/84.06 apply (zenon_L227_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H804); [ zenon_intro zenon_H2f2 | zenon_intro zenon_H808 ].
% 83.92/84.06 apply (zenon_L231_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H808); [ zenon_intro zenon_H2ff | zenon_intro zenon_H809 ].
% 83.92/84.06 apply (zenon_L239_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H809); [ zenon_intro zenon_H315 | zenon_intro zenon_H80a ].
% 83.92/84.06 apply (zenon_L248_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H80a); [ zenon_intro zenon_H319 | zenon_intro zenon_H80b ].
% 83.92/84.06 apply (zenon_L249_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H80b); [ zenon_intro zenon_H333 | zenon_intro zenon_H80c ].
% 83.92/84.06 apply (zenon_L258_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H80c); [ zenon_intro zenon_H344 | zenon_intro zenon_H80d ].
% 83.92/84.06 apply (zenon_L267_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H80d); [ zenon_intro zenon_H37c | zenon_intro zenon_H80e ].
% 83.92/84.06 apply (zenon_L316_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H80e); [ zenon_intro zenon_H3cd | zenon_intro zenon_H80f ].
% 83.92/84.06 apply (zenon_L395_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H80f); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H810 ].
% 83.92/84.06 apply (zenon_L396_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H810); [ zenon_intro zenon_H3ff | zenon_intro zenon_H811 ].
% 83.92/84.06 apply (zenon_L431_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H811); [ zenon_intro zenon_H416 | zenon_intro zenon_H812 ].
% 83.92/84.06 apply (zenon_L438_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H812); [ zenon_intro zenon_H431 | zenon_intro zenon_H813 ].
% 83.92/84.06 apply (zenon_L489_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H813); [ zenon_intro zenon_H44a | zenon_intro zenon_H44d ].
% 83.92/84.06 apply (zenon_L505_); trivial.
% 83.92/84.06 apply (zenon_L506_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H5bd); [ zenon_intro zenon_H5c1 | zenon_intro zenon_H5c0 ].
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H5c1). zenon_intro zenon_H463. zenon_intro zenon_H5c2.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H7dc); [ zenon_intro zenon_H9c | zenon_intro zenon_H803 ].
% 83.92/84.06 apply (zenon_L38_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H803); [ zenon_intro zenon_H805 | zenon_intro zenon_H804 ].
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H805). zenon_intro zenon_H807. zenon_intro zenon_H806.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H806). zenon_intro zenon_H16b. zenon_intro zenon_H1c2.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H380 | zenon_intro zenon_H37f ].
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H1a. zenon_intro zenon_H381.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H9e. zenon_intro zenon_H382.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H384. zenon_intro zenon_H383.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H1e0. zenon_intro zenon_H385.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.06 apply (zenon_L40_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.06 apply (zenon_L520_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.06 apply (zenon_L1058_); trivial.
% 83.92/84.06 apply (zenon_L143_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H23c | zenon_intro zenon_H386 ].
% 83.92/84.06 apply (zenon_L150_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H388 | zenon_intro zenon_H387 ].
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H388). zenon_intro zenon_H245. zenon_intro zenon_H389.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.06 apply (zenon_L40_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.06 apply (zenon_L520_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.06 apply (zenon_L1059_); trivial.
% 83.92/84.06 apply (zenon_L143_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H38b | zenon_intro zenon_H38a ].
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H38b). zenon_intro zenon_H253. zenon_intro zenon_H38c.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H38c). zenon_intro zenon_H3d1. zenon_intro zenon_H3d0.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H3d0). zenon_intro zenon_H24d. zenon_intro zenon_H3d2.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.06 apply (zenon_L40_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.06 apply (zenon_L520_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.06 apply (zenon_L1060_); trivial.
% 83.92/84.06 apply (zenon_L143_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H38e | zenon_intro zenon_H38d ].
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_H260. zenon_intro zenon_H38f.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.06 apply (zenon_L40_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.06 apply (zenon_L520_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.06 apply (zenon_L1061_); trivial.
% 83.92/84.06 apply (zenon_L143_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H391 | zenon_intro zenon_H390 ].
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H22a. zenon_intro zenon_H392.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H394. zenon_intro zenon_H393.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H266. zenon_intro zenon_H395.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.06 apply (zenon_L40_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.06 apply (zenon_L520_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.06 apply (zenon_L1062_); trivial.
% 83.92/84.06 apply (zenon_L143_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H275 | zenon_intro zenon_H396 ].
% 83.92/84.06 apply (zenon_L184_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H281 | zenon_intro zenon_H397 ].
% 83.92/84.06 apply (zenon_L189_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H294 | zenon_intro zenon_H398 ].
% 83.92/84.06 apply (zenon_L193_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H399 ].
% 83.92/84.06 apply (zenon_L198_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H39a ].
% 83.92/84.06 apply (zenon_L204_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H39b ].
% 83.92/84.06 apply (zenon_L206_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H39c ].
% 83.92/84.06 apply (zenon_L209_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H2ce | zenon_intro zenon_H39d ].
% 83.92/84.06 apply (zenon_L220_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2e6 ].
% 83.92/84.06 apply (zenon_L222_); trivial.
% 83.92/84.06 apply (zenon_L227_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H804); [ zenon_intro zenon_H2f2 | zenon_intro zenon_H808 ].
% 83.92/84.06 apply (zenon_L231_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H808); [ zenon_intro zenon_H2ff | zenon_intro zenon_H809 ].
% 83.92/84.06 apply (zenon_L239_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H809); [ zenon_intro zenon_H315 | zenon_intro zenon_H80a ].
% 83.92/84.06 apply (zenon_L248_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H80a); [ zenon_intro zenon_H319 | zenon_intro zenon_H80b ].
% 83.92/84.06 apply (zenon_L249_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H80b); [ zenon_intro zenon_H333 | zenon_intro zenon_H80c ].
% 83.92/84.06 apply (zenon_L258_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H80c); [ zenon_intro zenon_H344 | zenon_intro zenon_H80d ].
% 83.92/84.06 apply (zenon_L267_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H80d); [ zenon_intro zenon_H37c | zenon_intro zenon_H80e ].
% 83.92/84.06 apply (zenon_L316_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H80e); [ zenon_intro zenon_H3cd | zenon_intro zenon_H80f ].
% 83.92/84.06 apply (zenon_L395_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H80f); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H810 ].
% 83.92/84.06 apply (zenon_L396_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H810); [ zenon_intro zenon_H3ff | zenon_intro zenon_H811 ].
% 83.92/84.06 apply (zenon_L431_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H811); [ zenon_intro zenon_H416 | zenon_intro zenon_H812 ].
% 83.92/84.06 apply (zenon_L438_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H812); [ zenon_intro zenon_H431 | zenon_intro zenon_H813 ].
% 83.92/84.06 apply (zenon_L489_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H813); [ zenon_intro zenon_H44a | zenon_intro zenon_H44d ].
% 83.92/84.06 apply (zenon_L505_); trivial.
% 83.92/84.06 apply (zenon_L506_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H5c0); [ zenon_intro zenon_H5c4 | zenon_intro zenon_H5c3 ].
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H5c4). zenon_intro zenon_H467. zenon_intro zenon_H5c5.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H7dc); [ zenon_intro zenon_H9c | zenon_intro zenon_H803 ].
% 83.92/84.06 apply (zenon_L38_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H803); [ zenon_intro zenon_H805 | zenon_intro zenon_H804 ].
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H805). zenon_intro zenon_H807. zenon_intro zenon_H806.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H806). zenon_intro zenon_H16b. zenon_intro zenon_H1c2.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H380 | zenon_intro zenon_H37f ].
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H1a. zenon_intro zenon_H381.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H9e. zenon_intro zenon_H382.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H384. zenon_intro zenon_H383.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H1e0. zenon_intro zenon_H385.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.06 apply (zenon_L40_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.06 apply (zenon_L522_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.06 apply (zenon_L1058_); trivial.
% 83.92/84.06 apply (zenon_L143_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H23c | zenon_intro zenon_H386 ].
% 83.92/84.06 apply (zenon_L150_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H388 | zenon_intro zenon_H387 ].
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H388). zenon_intro zenon_H245. zenon_intro zenon_H389.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.06 apply (zenon_L40_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.06 apply (zenon_L522_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.06 apply (zenon_L1059_); trivial.
% 83.92/84.06 apply (zenon_L143_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H38b | zenon_intro zenon_H38a ].
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H38b). zenon_intro zenon_H253. zenon_intro zenon_H38c.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H38c). zenon_intro zenon_H3d1. zenon_intro zenon_H3d0.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H3d0). zenon_intro zenon_H24d. zenon_intro zenon_H3d2.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.06 apply (zenon_L40_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.06 apply (zenon_L522_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.06 apply (zenon_L1060_); trivial.
% 83.92/84.06 apply (zenon_L143_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H38e | zenon_intro zenon_H38d ].
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_H260. zenon_intro zenon_H38f.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.06 apply (zenon_L40_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.06 apply (zenon_L522_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.06 apply (zenon_L1061_); trivial.
% 83.92/84.06 apply (zenon_L143_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H391 | zenon_intro zenon_H390 ].
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H22a. zenon_intro zenon_H392.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H394. zenon_intro zenon_H393.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H266. zenon_intro zenon_H395.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.06 apply (zenon_L40_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.06 apply (zenon_L522_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.06 apply (zenon_L1062_); trivial.
% 83.92/84.06 apply (zenon_L143_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H275 | zenon_intro zenon_H396 ].
% 83.92/84.06 apply (zenon_L184_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H281 | zenon_intro zenon_H397 ].
% 83.92/84.06 apply (zenon_L189_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H294 | zenon_intro zenon_H398 ].
% 83.92/84.06 apply (zenon_L193_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H399 ].
% 83.92/84.06 apply (zenon_L198_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H39a ].
% 83.92/84.06 apply (zenon_L204_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H39b ].
% 83.92/84.06 apply (zenon_L206_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H39c ].
% 83.92/84.06 apply (zenon_L209_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H2ce | zenon_intro zenon_H39d ].
% 83.92/84.06 apply (zenon_L220_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2e6 ].
% 83.92/84.06 apply (zenon_L222_); trivial.
% 83.92/84.06 apply (zenon_L227_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H804); [ zenon_intro zenon_H2f2 | zenon_intro zenon_H808 ].
% 83.92/84.06 apply (zenon_L231_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H808); [ zenon_intro zenon_H2ff | zenon_intro zenon_H809 ].
% 83.92/84.06 apply (zenon_L239_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H809); [ zenon_intro zenon_H315 | zenon_intro zenon_H80a ].
% 83.92/84.06 apply (zenon_L248_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H80a); [ zenon_intro zenon_H319 | zenon_intro zenon_H80b ].
% 83.92/84.06 apply (zenon_L249_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H80b); [ zenon_intro zenon_H333 | zenon_intro zenon_H80c ].
% 83.92/84.06 apply (zenon_L258_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H80c); [ zenon_intro zenon_H344 | zenon_intro zenon_H80d ].
% 83.92/84.06 apply (zenon_L267_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H80d); [ zenon_intro zenon_H37c | zenon_intro zenon_H80e ].
% 83.92/84.06 apply (zenon_L316_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H80e); [ zenon_intro zenon_H3cd | zenon_intro zenon_H80f ].
% 83.92/84.06 apply (zenon_L395_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H80f); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H810 ].
% 83.92/84.06 apply (zenon_L396_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H810); [ zenon_intro zenon_H3ff | zenon_intro zenon_H811 ].
% 83.92/84.06 apply (zenon_L431_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H811); [ zenon_intro zenon_H416 | zenon_intro zenon_H812 ].
% 83.92/84.06 apply (zenon_L438_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H812); [ zenon_intro zenon_H431 | zenon_intro zenon_H813 ].
% 83.92/84.06 apply (zenon_L489_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H813); [ zenon_intro zenon_H44a | zenon_intro zenon_H44d ].
% 83.92/84.06 apply (zenon_L505_); trivial.
% 83.92/84.06 apply (zenon_L506_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H5c3); [ zenon_intro zenon_H5c7 | zenon_intro zenon_H5c6 ].
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H5c7). zenon_intro zenon_H473. zenon_intro zenon_H5c8.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H5c8). zenon_intro zenon_H5ca. zenon_intro zenon_H5c9.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H5c9). zenon_intro zenon_H46d. zenon_intro zenon_H5cb.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H7dc); [ zenon_intro zenon_H9c | zenon_intro zenon_H803 ].
% 83.92/84.06 apply (zenon_L38_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H803); [ zenon_intro zenon_H805 | zenon_intro zenon_H804 ].
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H805). zenon_intro zenon_H807. zenon_intro zenon_H806.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H806). zenon_intro zenon_H16b. zenon_intro zenon_H1c2.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H380 | zenon_intro zenon_H37f ].
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H1a. zenon_intro zenon_H381.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H9e. zenon_intro zenon_H382.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H384. zenon_intro zenon_H383.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H1e0. zenon_intro zenon_H385.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.06 apply (zenon_L40_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.06 apply (zenon_L526_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.06 apply (zenon_L1058_); trivial.
% 83.92/84.06 apply (zenon_L143_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H23c | zenon_intro zenon_H386 ].
% 83.92/84.06 apply (zenon_L150_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H388 | zenon_intro zenon_H387 ].
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H388). zenon_intro zenon_H245. zenon_intro zenon_H389.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.06 apply (zenon_L40_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.06 apply (zenon_L526_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.06 apply (zenon_L1059_); trivial.
% 83.92/84.06 apply (zenon_L143_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H38b | zenon_intro zenon_H38a ].
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H38b). zenon_intro zenon_H253. zenon_intro zenon_H38c.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H38c). zenon_intro zenon_H3d1. zenon_intro zenon_H3d0.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H3d0). zenon_intro zenon_H24d. zenon_intro zenon_H3d2.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.06 apply (zenon_L40_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.06 apply (zenon_L526_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.06 apply (zenon_L1060_); trivial.
% 83.92/84.06 apply (zenon_L143_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H38e | zenon_intro zenon_H38d ].
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_H260. zenon_intro zenon_H38f.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.06 apply (zenon_L40_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.06 apply (zenon_L526_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.06 apply (zenon_L1061_); trivial.
% 83.92/84.06 apply (zenon_L143_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H391 | zenon_intro zenon_H390 ].
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H22a. zenon_intro zenon_H392.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H394. zenon_intro zenon_H393.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H266. zenon_intro zenon_H395.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.06 apply (zenon_L40_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.06 apply (zenon_L526_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.06 apply (zenon_L1062_); trivial.
% 83.92/84.06 apply (zenon_L143_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H275 | zenon_intro zenon_H396 ].
% 83.92/84.06 apply (zenon_L184_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H281 | zenon_intro zenon_H397 ].
% 83.92/84.06 apply (zenon_L189_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H294 | zenon_intro zenon_H398 ].
% 83.92/84.06 apply (zenon_L193_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H399 ].
% 83.92/84.06 apply (zenon_L198_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H39a ].
% 83.92/84.06 apply (zenon_L204_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H39b ].
% 83.92/84.06 apply (zenon_L206_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H39c ].
% 83.92/84.06 apply (zenon_L209_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H2ce | zenon_intro zenon_H39d ].
% 83.92/84.06 apply (zenon_L220_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2e6 ].
% 83.92/84.06 apply (zenon_L222_); trivial.
% 83.92/84.06 apply (zenon_L227_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H804); [ zenon_intro zenon_H2f2 | zenon_intro zenon_H808 ].
% 83.92/84.06 apply (zenon_L231_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H808); [ zenon_intro zenon_H2ff | zenon_intro zenon_H809 ].
% 83.92/84.06 apply (zenon_L239_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H809); [ zenon_intro zenon_H315 | zenon_intro zenon_H80a ].
% 83.92/84.06 apply (zenon_L248_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H80a); [ zenon_intro zenon_H319 | zenon_intro zenon_H80b ].
% 83.92/84.06 apply (zenon_L249_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H80b); [ zenon_intro zenon_H333 | zenon_intro zenon_H80c ].
% 83.92/84.06 apply (zenon_L258_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H80c); [ zenon_intro zenon_H344 | zenon_intro zenon_H80d ].
% 83.92/84.06 apply (zenon_L267_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H80d); [ zenon_intro zenon_H37c | zenon_intro zenon_H80e ].
% 83.92/84.06 apply (zenon_L316_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H80e); [ zenon_intro zenon_H3cd | zenon_intro zenon_H80f ].
% 83.92/84.06 apply (zenon_L395_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H80f); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H810 ].
% 83.92/84.06 apply (zenon_L396_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H810); [ zenon_intro zenon_H3ff | zenon_intro zenon_H811 ].
% 83.92/84.06 apply (zenon_L431_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H811); [ zenon_intro zenon_H416 | zenon_intro zenon_H812 ].
% 83.92/84.06 apply (zenon_L438_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H812); [ zenon_intro zenon_H431 | zenon_intro zenon_H813 ].
% 83.92/84.06 apply (zenon_L489_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H813); [ zenon_intro zenon_H44a | zenon_intro zenon_H44d ].
% 83.92/84.06 apply (zenon_L505_); trivial.
% 83.92/84.06 apply (zenon_L506_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H5c6); [ zenon_intro zenon_H48c | zenon_intro zenon_H5cc ].
% 83.92/84.06 apply (zenon_L544_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H5cc); [ zenon_intro zenon_H4a3 | zenon_intro zenon_H5cd ].
% 83.92/84.06 apply (zenon_L550_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H5cd); [ zenon_intro zenon_H4b0 | zenon_intro zenon_H5ce ].
% 83.92/84.06 apply (zenon_L556_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H5ce); [ zenon_intro zenon_H4bf | zenon_intro zenon_H5cf ].
% 83.92/84.06 apply (zenon_L564_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H5cf); [ zenon_intro zenon_H4d8 | zenon_intro zenon_H5d0 ].
% 83.92/84.06 apply (zenon_L573_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H5d0); [ zenon_intro zenon_H4e4 | zenon_intro zenon_H5d1 ].
% 83.92/84.06 apply (zenon_L575_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H5d1); [ zenon_intro zenon_H4e7 | zenon_intro zenon_H5d2 ].
% 83.92/84.06 apply (zenon_L578_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H5d2); [ zenon_intro zenon_H4f0 | zenon_intro zenon_H5d3 ].
% 83.92/84.06 apply (zenon_L587_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H5d3); [ zenon_intro zenon_H4f9 | zenon_intro zenon_H521 ].
% 83.92/84.06 apply (zenon_L590_); trivial.
% 83.92/84.06 apply (zenon_L615_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H7ff); [ zenon_intro zenon_H52c | zenon_intro zenon_H814 ].
% 83.92/84.06 apply (zenon_L631_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H814); [ zenon_intro zenon_H536 | zenon_intro zenon_H815 ].
% 83.92/84.06 apply (zenon_L637_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H815); [ zenon_intro zenon_H54e | zenon_intro zenon_H816 ].
% 83.92/84.06 apply (zenon_L650_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H816); [ zenon_intro zenon_H550 | zenon_intro zenon_H817 ].
% 83.92/84.06 apply (zenon_L651_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H817); [ zenon_intro zenon_H56b | zenon_intro zenon_H818 ].
% 83.92/84.06 apply (zenon_L678_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H818); [ zenon_intro zenon_H58a | zenon_intro zenon_H819 ].
% 83.92/84.06 apply (zenon_L721_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H819); [ zenon_intro zenon_H5b2 | zenon_intro zenon_H81a ].
% 83.92/84.06 apply (zenon_L769_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H81a); [ zenon_intro zenon_H604 | zenon_intro zenon_H81b ].
% 83.92/84.06 apply (zenon_L836_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H81b); [ zenon_intro zenon_H615 | zenon_intro zenon_H81c ].
% 83.92/84.06 apply (zenon_L837_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H81c); [ zenon_intro zenon_H634 | zenon_intro zenon_H81d ].
% 83.92/84.06 apply (zenon_L877_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H81d); [ zenon_intro zenon_H647 | zenon_intro zenon_H81e ].
% 83.92/84.06 apply (zenon_L888_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H81e); [ zenon_intro zenon_H662 | zenon_intro zenon_H81f ].
% 83.92/84.06 apply (zenon_L943_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H81f); [ zenon_intro zenon_H677 | zenon_intro zenon_H67a ].
% 83.92/84.06 apply (zenon_L965_); trivial.
% 83.92/84.06 apply (zenon_L966_); trivial.
% 83.92/84.06 apply (zenon_notand_s _ _ zenon_H827); [ zenon_intro zenon_H6e4 | zenon_intro zenon_H828 ].
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H7dd); [ zenon_intro zenon_H97 | zenon_intro zenon_H7fe ].
% 83.92/84.06 apply (zenon_L37_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H7fe); [ zenon_intro zenon_H800 | zenon_intro zenon_H7ff ].
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H800). zenon_intro zenon_H802. zenon_intro zenon_H801.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H801). zenon_intro zenon_Hba. zenon_intro zenon_H14b.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H5b3); [ zenon_intro zenon_H5b6 | zenon_intro zenon_H5b5 ].
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H5b6). zenon_intro zenon_Hb5. zenon_intro zenon_H5b7.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H5b7). zenon_intro zenon_H99. zenon_intro zenon_H5b8.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H5b8). zenon_intro zenon_H5ba. zenon_intro zenon_H5b9.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H5b9). zenon_intro zenon_H155. zenon_intro zenon_H5bb.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H7dc); [ zenon_intro zenon_H9c | zenon_intro zenon_H803 ].
% 83.92/84.06 apply (zenon_L38_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H803); [ zenon_intro zenon_H805 | zenon_intro zenon_H804 ].
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H805). zenon_intro zenon_H807. zenon_intro zenon_H806.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H806). zenon_intro zenon_H16b. zenon_intro zenon_H1c2.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H380 | zenon_intro zenon_H37f ].
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H1a. zenon_intro zenon_H381.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H9e. zenon_intro zenon_H382.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H384. zenon_intro zenon_H383.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H1e0. zenon_intro zenon_H385.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.06 apply (zenon_L40_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.06 apply (zenon_L89_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.06 apply (zenon_L1068_); trivial.
% 83.92/84.06 apply (zenon_L143_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H23c | zenon_intro zenon_H386 ].
% 83.92/84.06 apply (zenon_L150_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H388 | zenon_intro zenon_H387 ].
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H388). zenon_intro zenon_H245. zenon_intro zenon_H389.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.06 apply (zenon_L40_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.06 apply (zenon_L89_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.06 apply (zenon_L1071_); trivial.
% 83.92/84.06 apply (zenon_L143_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H38b | zenon_intro zenon_H38a ].
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H38b). zenon_intro zenon_H253. zenon_intro zenon_H38c.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H38c). zenon_intro zenon_H3d1. zenon_intro zenon_H3d0.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H3d0). zenon_intro zenon_H24d. zenon_intro zenon_H3d2.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.06 apply (zenon_L40_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.06 apply (zenon_L89_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.06 apply (zenon_L1074_); trivial.
% 83.92/84.06 apply (zenon_L143_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H38e | zenon_intro zenon_H38d ].
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_H260. zenon_intro zenon_H38f.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.06 apply (zenon_L40_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.06 apply (zenon_L89_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.06 apply (zenon_L1077_); trivial.
% 83.92/84.06 apply (zenon_L143_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H391 | zenon_intro zenon_H390 ].
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H22a. zenon_intro zenon_H392.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H394. zenon_intro zenon_H393.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H266. zenon_intro zenon_H395.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.06 apply (zenon_L40_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.06 apply (zenon_L89_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.06 apply (zenon_L1080_); trivial.
% 83.92/84.06 apply (zenon_L143_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H275 | zenon_intro zenon_H396 ].
% 83.92/84.06 apply (zenon_L184_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H281 | zenon_intro zenon_H397 ].
% 83.92/84.06 apply (zenon_L189_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H294 | zenon_intro zenon_H398 ].
% 83.92/84.06 apply (zenon_L193_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H399 ].
% 83.92/84.06 apply (zenon_L198_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H39a ].
% 83.92/84.06 apply (zenon_L204_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H39b ].
% 83.92/84.06 apply (zenon_L206_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H39c ].
% 83.92/84.06 apply (zenon_L209_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H2ce | zenon_intro zenon_H39d ].
% 83.92/84.06 apply (zenon_L220_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2e6 ].
% 83.92/84.06 apply (zenon_L222_); trivial.
% 83.92/84.06 apply (zenon_L227_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H804); [ zenon_intro zenon_H2f2 | zenon_intro zenon_H808 ].
% 83.92/84.06 apply (zenon_L231_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H808); [ zenon_intro zenon_H2ff | zenon_intro zenon_H809 ].
% 83.92/84.06 apply (zenon_L239_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H809); [ zenon_intro zenon_H315 | zenon_intro zenon_H80a ].
% 83.92/84.06 apply (zenon_L248_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H80a); [ zenon_intro zenon_H319 | zenon_intro zenon_H80b ].
% 83.92/84.06 apply (zenon_L249_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H80b); [ zenon_intro zenon_H333 | zenon_intro zenon_H80c ].
% 83.92/84.06 apply (zenon_L258_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H80c); [ zenon_intro zenon_H344 | zenon_intro zenon_H80d ].
% 83.92/84.06 apply (zenon_L267_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H80d); [ zenon_intro zenon_H37c | zenon_intro zenon_H80e ].
% 83.92/84.06 apply (zenon_L316_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H80e); [ zenon_intro zenon_H3cd | zenon_intro zenon_H80f ].
% 83.92/84.06 apply (zenon_L395_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H80f); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H810 ].
% 83.92/84.06 apply (zenon_L396_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H810); [ zenon_intro zenon_H3ff | zenon_intro zenon_H811 ].
% 83.92/84.06 apply (zenon_L431_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H811); [ zenon_intro zenon_H416 | zenon_intro zenon_H812 ].
% 83.92/84.06 apply (zenon_L438_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H812); [ zenon_intro zenon_H431 | zenon_intro zenon_H813 ].
% 83.92/84.06 apply (zenon_L489_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H813); [ zenon_intro zenon_H44a | zenon_intro zenon_H44d ].
% 83.92/84.06 apply (zenon_L505_); trivial.
% 83.92/84.06 apply (zenon_L506_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H5b5); [ zenon_intro zenon_H456 | zenon_intro zenon_H5bc ].
% 83.92/84.06 apply (zenon_L509_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H5bc); [ zenon_intro zenon_H5be | zenon_intro zenon_H5bd ].
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H5be). zenon_intro zenon_H45b. zenon_intro zenon_H5bf.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H7dc); [ zenon_intro zenon_H9c | zenon_intro zenon_H803 ].
% 83.92/84.06 apply (zenon_L38_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H803); [ zenon_intro zenon_H805 | zenon_intro zenon_H804 ].
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H805). zenon_intro zenon_H807. zenon_intro zenon_H806.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H806). zenon_intro zenon_H16b. zenon_intro zenon_H1c2.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H380 | zenon_intro zenon_H37f ].
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H1a. zenon_intro zenon_H381.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H9e. zenon_intro zenon_H382.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H384. zenon_intro zenon_H383.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H1e0. zenon_intro zenon_H385.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.06 apply (zenon_L40_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.06 apply (zenon_L511_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.06 apply (zenon_L1068_); trivial.
% 83.92/84.06 apply (zenon_L143_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H23c | zenon_intro zenon_H386 ].
% 83.92/84.06 apply (zenon_L150_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H388 | zenon_intro zenon_H387 ].
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H388). zenon_intro zenon_H245. zenon_intro zenon_H389.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.06 apply (zenon_L40_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.06 apply (zenon_L511_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.06 apply (zenon_L1071_); trivial.
% 83.92/84.06 apply (zenon_L143_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H38b | zenon_intro zenon_H38a ].
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H38b). zenon_intro zenon_H253. zenon_intro zenon_H38c.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H38c). zenon_intro zenon_H3d1. zenon_intro zenon_H3d0.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H3d0). zenon_intro zenon_H24d. zenon_intro zenon_H3d2.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.06 apply (zenon_L40_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.06 apply (zenon_L511_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.06 apply (zenon_L1074_); trivial.
% 83.92/84.06 apply (zenon_L143_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H38e | zenon_intro zenon_H38d ].
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_H260. zenon_intro zenon_H38f.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.06 apply (zenon_L40_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.06 apply (zenon_L511_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.06 apply (zenon_L1077_); trivial.
% 83.92/84.06 apply (zenon_L143_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H391 | zenon_intro zenon_H390 ].
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H22a. zenon_intro zenon_H392.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H394. zenon_intro zenon_H393.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H266. zenon_intro zenon_H395.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.06 apply (zenon_L40_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.06 apply (zenon_L511_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.06 apply (zenon_L1080_); trivial.
% 83.92/84.06 apply (zenon_L143_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H275 | zenon_intro zenon_H396 ].
% 83.92/84.06 apply (zenon_L184_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H281 | zenon_intro zenon_H397 ].
% 83.92/84.06 apply (zenon_L189_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H294 | zenon_intro zenon_H398 ].
% 83.92/84.06 apply (zenon_L193_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H399 ].
% 83.92/84.06 apply (zenon_L198_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H39a ].
% 83.92/84.06 apply (zenon_L204_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H39b ].
% 83.92/84.06 apply (zenon_L206_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H39c ].
% 83.92/84.06 apply (zenon_L209_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H2ce | zenon_intro zenon_H39d ].
% 83.92/84.06 apply (zenon_L220_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2e6 ].
% 83.92/84.06 apply (zenon_L222_); trivial.
% 83.92/84.06 apply (zenon_L227_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H804); [ zenon_intro zenon_H2f2 | zenon_intro zenon_H808 ].
% 83.92/84.06 apply (zenon_L231_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H808); [ zenon_intro zenon_H2ff | zenon_intro zenon_H809 ].
% 83.92/84.06 apply (zenon_L239_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H809); [ zenon_intro zenon_H315 | zenon_intro zenon_H80a ].
% 83.92/84.06 apply (zenon_L248_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H80a); [ zenon_intro zenon_H319 | zenon_intro zenon_H80b ].
% 83.92/84.06 apply (zenon_L249_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H80b); [ zenon_intro zenon_H333 | zenon_intro zenon_H80c ].
% 83.92/84.06 apply (zenon_L258_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H80c); [ zenon_intro zenon_H344 | zenon_intro zenon_H80d ].
% 83.92/84.06 apply (zenon_L267_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H80d); [ zenon_intro zenon_H37c | zenon_intro zenon_H80e ].
% 83.92/84.06 apply (zenon_L316_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H80e); [ zenon_intro zenon_H3cd | zenon_intro zenon_H80f ].
% 83.92/84.06 apply (zenon_L395_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H80f); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H810 ].
% 83.92/84.06 apply (zenon_L396_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H810); [ zenon_intro zenon_H3ff | zenon_intro zenon_H811 ].
% 83.92/84.06 apply (zenon_L431_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H811); [ zenon_intro zenon_H416 | zenon_intro zenon_H812 ].
% 83.92/84.06 apply (zenon_L438_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H812); [ zenon_intro zenon_H431 | zenon_intro zenon_H813 ].
% 83.92/84.06 apply (zenon_L489_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H813); [ zenon_intro zenon_H44a | zenon_intro zenon_H44d ].
% 83.92/84.06 apply (zenon_L505_); trivial.
% 83.92/84.06 apply (zenon_L506_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H5bd); [ zenon_intro zenon_H5c1 | zenon_intro zenon_H5c0 ].
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H5c1). zenon_intro zenon_H463. zenon_intro zenon_H5c2.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H7dc); [ zenon_intro zenon_H9c | zenon_intro zenon_H803 ].
% 83.92/84.06 apply (zenon_L38_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H803); [ zenon_intro zenon_H805 | zenon_intro zenon_H804 ].
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H805). zenon_intro zenon_H807. zenon_intro zenon_H806.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H806). zenon_intro zenon_H16b. zenon_intro zenon_H1c2.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H380 | zenon_intro zenon_H37f ].
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H1a. zenon_intro zenon_H381.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H9e. zenon_intro zenon_H382.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H384. zenon_intro zenon_H383.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H1e0. zenon_intro zenon_H385.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.06 apply (zenon_L40_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.06 apply (zenon_L520_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.06 apply (zenon_L1068_); trivial.
% 83.92/84.06 apply (zenon_L143_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H23c | zenon_intro zenon_H386 ].
% 83.92/84.06 apply (zenon_L150_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H388 | zenon_intro zenon_H387 ].
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H388). zenon_intro zenon_H245. zenon_intro zenon_H389.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.06 apply (zenon_L40_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.06 apply (zenon_L520_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.06 apply (zenon_L1071_); trivial.
% 83.92/84.06 apply (zenon_L143_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H38b | zenon_intro zenon_H38a ].
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H38b). zenon_intro zenon_H253. zenon_intro zenon_H38c.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H38c). zenon_intro zenon_H3d1. zenon_intro zenon_H3d0.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H3d0). zenon_intro zenon_H24d. zenon_intro zenon_H3d2.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.06 apply (zenon_L40_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.06 apply (zenon_L520_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.06 apply (zenon_L1074_); trivial.
% 83.92/84.06 apply (zenon_L143_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H38e | zenon_intro zenon_H38d ].
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_H260. zenon_intro zenon_H38f.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.06 apply (zenon_L40_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.06 apply (zenon_L520_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.06 apply (zenon_L1077_); trivial.
% 83.92/84.06 apply (zenon_L143_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H391 | zenon_intro zenon_H390 ].
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H22a. zenon_intro zenon_H392.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H394. zenon_intro zenon_H393.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H266. zenon_intro zenon_H395.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.06 apply (zenon_L40_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.06 apply (zenon_L520_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.06 apply (zenon_L1080_); trivial.
% 83.92/84.06 apply (zenon_L143_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H275 | zenon_intro zenon_H396 ].
% 83.92/84.06 apply (zenon_L184_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H281 | zenon_intro zenon_H397 ].
% 83.92/84.06 apply (zenon_L189_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H294 | zenon_intro zenon_H398 ].
% 83.92/84.06 apply (zenon_L193_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H399 ].
% 83.92/84.06 apply (zenon_L198_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H39a ].
% 83.92/84.06 apply (zenon_L204_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H39b ].
% 83.92/84.06 apply (zenon_L206_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H39c ].
% 83.92/84.06 apply (zenon_L209_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H2ce | zenon_intro zenon_H39d ].
% 83.92/84.06 apply (zenon_L220_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2e6 ].
% 83.92/84.06 apply (zenon_L222_); trivial.
% 83.92/84.06 apply (zenon_L227_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H804); [ zenon_intro zenon_H2f2 | zenon_intro zenon_H808 ].
% 83.92/84.06 apply (zenon_L231_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H808); [ zenon_intro zenon_H2ff | zenon_intro zenon_H809 ].
% 83.92/84.06 apply (zenon_L239_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H809); [ zenon_intro zenon_H315 | zenon_intro zenon_H80a ].
% 83.92/84.06 apply (zenon_L248_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H80a); [ zenon_intro zenon_H319 | zenon_intro zenon_H80b ].
% 83.92/84.06 apply (zenon_L249_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H80b); [ zenon_intro zenon_H333 | zenon_intro zenon_H80c ].
% 83.92/84.06 apply (zenon_L258_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H80c); [ zenon_intro zenon_H344 | zenon_intro zenon_H80d ].
% 83.92/84.06 apply (zenon_L267_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H80d); [ zenon_intro zenon_H37c | zenon_intro zenon_H80e ].
% 83.92/84.06 apply (zenon_L316_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H80e); [ zenon_intro zenon_H3cd | zenon_intro zenon_H80f ].
% 83.92/84.06 apply (zenon_L395_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H80f); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H810 ].
% 83.92/84.06 apply (zenon_L396_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H810); [ zenon_intro zenon_H3ff | zenon_intro zenon_H811 ].
% 83.92/84.06 apply (zenon_L431_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H811); [ zenon_intro zenon_H416 | zenon_intro zenon_H812 ].
% 83.92/84.06 apply (zenon_L438_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H812); [ zenon_intro zenon_H431 | zenon_intro zenon_H813 ].
% 83.92/84.06 apply (zenon_L489_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H813); [ zenon_intro zenon_H44a | zenon_intro zenon_H44d ].
% 83.92/84.06 apply (zenon_L505_); trivial.
% 83.92/84.06 apply (zenon_L506_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H5c0); [ zenon_intro zenon_H5c4 | zenon_intro zenon_H5c3 ].
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H5c4). zenon_intro zenon_H467. zenon_intro zenon_H5c5.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H7dc); [ zenon_intro zenon_H9c | zenon_intro zenon_H803 ].
% 83.92/84.06 apply (zenon_L38_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H803); [ zenon_intro zenon_H805 | zenon_intro zenon_H804 ].
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H805). zenon_intro zenon_H807. zenon_intro zenon_H806.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H806). zenon_intro zenon_H16b. zenon_intro zenon_H1c2.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H380 | zenon_intro zenon_H37f ].
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H1a. zenon_intro zenon_H381.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H9e. zenon_intro zenon_H382.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H384. zenon_intro zenon_H383.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H1e0. zenon_intro zenon_H385.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.06 apply (zenon_L40_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.06 apply (zenon_L522_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.06 apply (zenon_L1068_); trivial.
% 83.92/84.06 apply (zenon_L143_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H23c | zenon_intro zenon_H386 ].
% 83.92/84.06 apply (zenon_L150_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H388 | zenon_intro zenon_H387 ].
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H388). zenon_intro zenon_H245. zenon_intro zenon_H389.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.06 apply (zenon_L40_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.06 apply (zenon_L522_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.06 apply (zenon_L1071_); trivial.
% 83.92/84.06 apply (zenon_L143_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H38b | zenon_intro zenon_H38a ].
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H38b). zenon_intro zenon_H253. zenon_intro zenon_H38c.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H38c). zenon_intro zenon_H3d1. zenon_intro zenon_H3d0.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H3d0). zenon_intro zenon_H24d. zenon_intro zenon_H3d2.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.06 apply (zenon_L40_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.06 apply (zenon_L522_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.06 apply (zenon_L1074_); trivial.
% 83.92/84.06 apply (zenon_L143_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H38e | zenon_intro zenon_H38d ].
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_H260. zenon_intro zenon_H38f.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.06 apply (zenon_L40_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.06 apply (zenon_L522_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.06 apply (zenon_L1077_); trivial.
% 83.92/84.06 apply (zenon_L143_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H391 | zenon_intro zenon_H390 ].
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H22a. zenon_intro zenon_H392.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H394. zenon_intro zenon_H393.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H266. zenon_intro zenon_H395.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.06 apply (zenon_L40_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.06 apply (zenon_L522_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.06 apply (zenon_L1080_); trivial.
% 83.92/84.06 apply (zenon_L143_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H275 | zenon_intro zenon_H396 ].
% 83.92/84.06 apply (zenon_L184_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H281 | zenon_intro zenon_H397 ].
% 83.92/84.06 apply (zenon_L189_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H294 | zenon_intro zenon_H398 ].
% 83.92/84.06 apply (zenon_L193_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H399 ].
% 83.92/84.06 apply (zenon_L198_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H39a ].
% 83.92/84.06 apply (zenon_L204_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H39b ].
% 83.92/84.06 apply (zenon_L206_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H39c ].
% 83.92/84.06 apply (zenon_L209_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H2ce | zenon_intro zenon_H39d ].
% 83.92/84.06 apply (zenon_L220_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2e6 ].
% 83.92/84.06 apply (zenon_L222_); trivial.
% 83.92/84.06 apply (zenon_L227_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H804); [ zenon_intro zenon_H2f2 | zenon_intro zenon_H808 ].
% 83.92/84.06 apply (zenon_L231_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H808); [ zenon_intro zenon_H2ff | zenon_intro zenon_H809 ].
% 83.92/84.06 apply (zenon_L239_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H809); [ zenon_intro zenon_H315 | zenon_intro zenon_H80a ].
% 83.92/84.06 apply (zenon_L248_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H80a); [ zenon_intro zenon_H319 | zenon_intro zenon_H80b ].
% 83.92/84.06 apply (zenon_L249_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H80b); [ zenon_intro zenon_H333 | zenon_intro zenon_H80c ].
% 83.92/84.06 apply (zenon_L258_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H80c); [ zenon_intro zenon_H344 | zenon_intro zenon_H80d ].
% 83.92/84.06 apply (zenon_L267_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H80d); [ zenon_intro zenon_H37c | zenon_intro zenon_H80e ].
% 83.92/84.06 apply (zenon_L316_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H80e); [ zenon_intro zenon_H3cd | zenon_intro zenon_H80f ].
% 83.92/84.06 apply (zenon_L395_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H80f); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H810 ].
% 83.92/84.06 apply (zenon_L396_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H810); [ zenon_intro zenon_H3ff | zenon_intro zenon_H811 ].
% 83.92/84.06 apply (zenon_L431_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H811); [ zenon_intro zenon_H416 | zenon_intro zenon_H812 ].
% 83.92/84.06 apply (zenon_L438_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H812); [ zenon_intro zenon_H431 | zenon_intro zenon_H813 ].
% 83.92/84.06 apply (zenon_L489_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H813); [ zenon_intro zenon_H44a | zenon_intro zenon_H44d ].
% 83.92/84.06 apply (zenon_L505_); trivial.
% 83.92/84.06 apply (zenon_L506_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H5c3); [ zenon_intro zenon_H5c7 | zenon_intro zenon_H5c6 ].
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H5c7). zenon_intro zenon_H473. zenon_intro zenon_H5c8.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H5c8). zenon_intro zenon_H5ca. zenon_intro zenon_H5c9.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H5c9). zenon_intro zenon_H46d. zenon_intro zenon_H5cb.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H7dc); [ zenon_intro zenon_H9c | zenon_intro zenon_H803 ].
% 83.92/84.06 apply (zenon_L38_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H803); [ zenon_intro zenon_H805 | zenon_intro zenon_H804 ].
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H805). zenon_intro zenon_H807. zenon_intro zenon_H806.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H806). zenon_intro zenon_H16b. zenon_intro zenon_H1c2.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H380 | zenon_intro zenon_H37f ].
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H1a. zenon_intro zenon_H381.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H9e. zenon_intro zenon_H382.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H384. zenon_intro zenon_H383.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H1e0. zenon_intro zenon_H385.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.06 apply (zenon_L40_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.06 apply (zenon_L526_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.06 apply (zenon_L1068_); trivial.
% 83.92/84.06 apply (zenon_L143_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H23c | zenon_intro zenon_H386 ].
% 83.92/84.06 apply (zenon_L150_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H388 | zenon_intro zenon_H387 ].
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H388). zenon_intro zenon_H245. zenon_intro zenon_H389.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.06 apply (zenon_L40_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.06 apply (zenon_L526_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.06 apply (zenon_L1071_); trivial.
% 83.92/84.06 apply (zenon_L143_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H38b | zenon_intro zenon_H38a ].
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H38b). zenon_intro zenon_H253. zenon_intro zenon_H38c.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H38c). zenon_intro zenon_H3d1. zenon_intro zenon_H3d0.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H3d0). zenon_intro zenon_H24d. zenon_intro zenon_H3d2.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.06 apply (zenon_L40_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.06 apply (zenon_L526_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.06 apply (zenon_L1074_); trivial.
% 83.92/84.06 apply (zenon_L143_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H38e | zenon_intro zenon_H38d ].
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_H260. zenon_intro zenon_H38f.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.06 apply (zenon_L40_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.06 apply (zenon_L526_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.06 apply (zenon_L1077_); trivial.
% 83.92/84.06 apply (zenon_L143_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H391 | zenon_intro zenon_H390 ].
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H22a. zenon_intro zenon_H392.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H394. zenon_intro zenon_H393.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H266. zenon_intro zenon_H395.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.06 apply (zenon_L40_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.06 apply (zenon_L526_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.06 apply (zenon_L1080_); trivial.
% 83.92/84.06 apply (zenon_L143_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H275 | zenon_intro zenon_H396 ].
% 83.92/84.06 apply (zenon_L184_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H281 | zenon_intro zenon_H397 ].
% 83.92/84.06 apply (zenon_L189_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H294 | zenon_intro zenon_H398 ].
% 83.92/84.06 apply (zenon_L193_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H399 ].
% 83.92/84.06 apply (zenon_L198_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H39a ].
% 83.92/84.06 apply (zenon_L204_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H39b ].
% 83.92/84.06 apply (zenon_L206_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H39c ].
% 83.92/84.06 apply (zenon_L209_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H2ce | zenon_intro zenon_H39d ].
% 83.92/84.06 apply (zenon_L220_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2e6 ].
% 83.92/84.06 apply (zenon_L222_); trivial.
% 83.92/84.06 apply (zenon_L227_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H804); [ zenon_intro zenon_H2f2 | zenon_intro zenon_H808 ].
% 83.92/84.06 apply (zenon_L231_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H808); [ zenon_intro zenon_H2ff | zenon_intro zenon_H809 ].
% 83.92/84.06 apply (zenon_L239_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H809); [ zenon_intro zenon_H315 | zenon_intro zenon_H80a ].
% 83.92/84.06 apply (zenon_L248_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H80a); [ zenon_intro zenon_H319 | zenon_intro zenon_H80b ].
% 83.92/84.06 apply (zenon_L249_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H80b); [ zenon_intro zenon_H333 | zenon_intro zenon_H80c ].
% 83.92/84.06 apply (zenon_L258_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H80c); [ zenon_intro zenon_H344 | zenon_intro zenon_H80d ].
% 83.92/84.06 apply (zenon_L267_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H80d); [ zenon_intro zenon_H37c | zenon_intro zenon_H80e ].
% 83.92/84.06 apply (zenon_L316_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H80e); [ zenon_intro zenon_H3cd | zenon_intro zenon_H80f ].
% 83.92/84.06 apply (zenon_L395_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H80f); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H810 ].
% 83.92/84.06 apply (zenon_L396_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H810); [ zenon_intro zenon_H3ff | zenon_intro zenon_H811 ].
% 83.92/84.06 apply (zenon_L431_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H811); [ zenon_intro zenon_H416 | zenon_intro zenon_H812 ].
% 83.92/84.06 apply (zenon_L438_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H812); [ zenon_intro zenon_H431 | zenon_intro zenon_H813 ].
% 83.92/84.06 apply (zenon_L489_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H813); [ zenon_intro zenon_H44a | zenon_intro zenon_H44d ].
% 83.92/84.06 apply (zenon_L505_); trivial.
% 83.92/84.06 apply (zenon_L506_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H5c6); [ zenon_intro zenon_H48c | zenon_intro zenon_H5cc ].
% 83.92/84.06 apply (zenon_L544_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H5cc); [ zenon_intro zenon_H4a3 | zenon_intro zenon_H5cd ].
% 83.92/84.06 apply (zenon_L550_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H5cd); [ zenon_intro zenon_H4b0 | zenon_intro zenon_H5ce ].
% 83.92/84.06 apply (zenon_L556_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H5ce); [ zenon_intro zenon_H4bf | zenon_intro zenon_H5cf ].
% 83.92/84.06 apply (zenon_L564_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H5cf); [ zenon_intro zenon_H4d8 | zenon_intro zenon_H5d0 ].
% 83.92/84.06 apply (zenon_L573_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H5d0); [ zenon_intro zenon_H4e4 | zenon_intro zenon_H5d1 ].
% 83.92/84.06 apply (zenon_L575_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H5d1); [ zenon_intro zenon_H4e7 | zenon_intro zenon_H5d2 ].
% 83.92/84.06 apply (zenon_L578_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H5d2); [ zenon_intro zenon_H4f0 | zenon_intro zenon_H5d3 ].
% 83.92/84.06 apply (zenon_L587_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H5d3); [ zenon_intro zenon_H4f9 | zenon_intro zenon_H521 ].
% 83.92/84.06 apply (zenon_L590_); trivial.
% 83.92/84.06 apply (zenon_L615_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H7ff); [ zenon_intro zenon_H52c | zenon_intro zenon_H814 ].
% 83.92/84.06 apply (zenon_L631_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H814); [ zenon_intro zenon_H536 | zenon_intro zenon_H815 ].
% 83.92/84.06 apply (zenon_L637_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H815); [ zenon_intro zenon_H54e | zenon_intro zenon_H816 ].
% 83.92/84.06 apply (zenon_L650_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H816); [ zenon_intro zenon_H550 | zenon_intro zenon_H817 ].
% 83.92/84.06 apply (zenon_L651_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H817); [ zenon_intro zenon_H56b | zenon_intro zenon_H818 ].
% 83.92/84.06 apply (zenon_L678_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H818); [ zenon_intro zenon_H58a | zenon_intro zenon_H819 ].
% 83.92/84.06 apply (zenon_L721_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H819); [ zenon_intro zenon_H5b2 | zenon_intro zenon_H81a ].
% 83.92/84.06 apply (zenon_L769_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H81a); [ zenon_intro zenon_H604 | zenon_intro zenon_H81b ].
% 83.92/84.06 apply (zenon_L836_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H81b); [ zenon_intro zenon_H615 | zenon_intro zenon_H81c ].
% 83.92/84.06 apply (zenon_L837_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H81c); [ zenon_intro zenon_H634 | zenon_intro zenon_H81d ].
% 83.92/84.06 apply (zenon_L877_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H81d); [ zenon_intro zenon_H647 | zenon_intro zenon_H81e ].
% 83.92/84.06 apply (zenon_L888_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H81e); [ zenon_intro zenon_H662 | zenon_intro zenon_H81f ].
% 83.92/84.06 apply (zenon_L943_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H81f); [ zenon_intro zenon_H677 | zenon_intro zenon_H67a ].
% 83.92/84.06 apply (zenon_L965_); trivial.
% 83.92/84.06 apply (zenon_L966_); trivial.
% 83.92/84.06 apply (zenon_notand_s _ _ zenon_H828); [ zenon_intro zenon_H6f0 | zenon_intro zenon_H829 ].
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H7dd); [ zenon_intro zenon_H97 | zenon_intro zenon_H7fe ].
% 83.92/84.06 apply (zenon_L37_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H7fe); [ zenon_intro zenon_H800 | zenon_intro zenon_H7ff ].
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H800). zenon_intro zenon_H802. zenon_intro zenon_H801.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H801). zenon_intro zenon_Hba. zenon_intro zenon_H14b.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H7dc); [ zenon_intro zenon_H9c | zenon_intro zenon_H803 ].
% 83.92/84.06 apply (zenon_L38_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H803); [ zenon_intro zenon_H805 | zenon_intro zenon_H804 ].
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H805). zenon_intro zenon_H807. zenon_intro zenon_H806.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H806). zenon_intro zenon_H16b. zenon_intro zenon_H1c2.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H380 | zenon_intro zenon_H37f ].
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H1a. zenon_intro zenon_H381.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H9e. zenon_intro zenon_H382.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H384. zenon_intro zenon_H383.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H1e0. zenon_intro zenon_H385.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ].
% 83.92/84.06 apply (zenon_L43_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ].
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H10b | zenon_intro zenon_H137 ].
% 83.92/84.06 apply (zenon_L143_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H11e | zenon_intro zenon_H138 ].
% 83.92/84.06 apply (zenon_L81_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H121 | zenon_intro zenon_H95 ].
% 83.92/84.06 apply (zenon_L1084_); trivial.
% 83.92/84.06 apply (zenon_L36_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ].
% 83.92/84.06 apply (zenon_L46_); trivial.
% 83.92/84.06 apply (zenon_L31_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H23c | zenon_intro zenon_H386 ].
% 83.92/84.06 apply (zenon_L150_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H388 | zenon_intro zenon_H387 ].
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H388). zenon_intro zenon_H245. zenon_intro zenon_H389.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ].
% 83.92/84.06 apply (zenon_L43_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ].
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H10b | zenon_intro zenon_H137 ].
% 83.92/84.06 apply (zenon_L143_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H11e | zenon_intro zenon_H138 ].
% 83.92/84.06 apply (zenon_L81_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H121 | zenon_intro zenon_H95 ].
% 83.92/84.06 apply (zenon_L1085_); trivial.
% 83.92/84.06 apply (zenon_L36_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ].
% 83.92/84.06 apply (zenon_L46_); trivial.
% 83.92/84.06 apply (zenon_L31_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H38b | zenon_intro zenon_H38a ].
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H38b). zenon_intro zenon_H253. zenon_intro zenon_H38c.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H38c). zenon_intro zenon_H3d1. zenon_intro zenon_H3d0.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H3d0). zenon_intro zenon_H24d. zenon_intro zenon_H3d2.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ].
% 83.92/84.06 apply (zenon_L43_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ].
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H10b | zenon_intro zenon_H137 ].
% 83.92/84.06 apply (zenon_L143_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H11e | zenon_intro zenon_H138 ].
% 83.92/84.06 apply (zenon_L81_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H121 | zenon_intro zenon_H95 ].
% 83.92/84.06 apply (zenon_L1086_); trivial.
% 83.92/84.06 apply (zenon_L36_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ].
% 83.92/84.06 apply (zenon_L46_); trivial.
% 83.92/84.06 apply (zenon_L31_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H38e | zenon_intro zenon_H38d ].
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_H260. zenon_intro zenon_H38f.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ].
% 83.92/84.06 apply (zenon_L43_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ].
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H10b | zenon_intro zenon_H137 ].
% 83.92/84.06 apply (zenon_L143_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H11e | zenon_intro zenon_H138 ].
% 83.92/84.06 apply (zenon_L81_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H121 | zenon_intro zenon_H95 ].
% 83.92/84.06 apply (zenon_L1087_); trivial.
% 83.92/84.06 apply (zenon_L36_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ].
% 83.92/84.06 apply (zenon_L46_); trivial.
% 83.92/84.06 apply (zenon_L31_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H391 | zenon_intro zenon_H390 ].
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H22a. zenon_intro zenon_H392.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H394. zenon_intro zenon_H393.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H266. zenon_intro zenon_H395.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hca ].
% 83.92/84.06 apply (zenon_L43_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hcb ].
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H10b | zenon_intro zenon_H137 ].
% 83.92/84.06 apply (zenon_L143_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H11e | zenon_intro zenon_H138 ].
% 83.92/84.06 apply (zenon_L81_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H121 | zenon_intro zenon_H95 ].
% 83.92/84.06 apply (zenon_L1088_); trivial.
% 83.92/84.06 apply (zenon_L36_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H89 ].
% 83.92/84.06 apply (zenon_L46_); trivial.
% 83.92/84.06 apply (zenon_L31_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H275 | zenon_intro zenon_H396 ].
% 83.92/84.06 apply (zenon_L184_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H281 | zenon_intro zenon_H397 ].
% 83.92/84.06 apply (zenon_L189_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H294 | zenon_intro zenon_H398 ].
% 83.92/84.06 apply (zenon_L193_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H399 ].
% 83.92/84.06 apply (zenon_L198_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H39a ].
% 83.92/84.06 apply (zenon_L204_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H39b ].
% 83.92/84.06 apply (zenon_L206_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H39c ].
% 83.92/84.06 apply (zenon_L209_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H2ce | zenon_intro zenon_H39d ].
% 83.92/84.06 apply (zenon_L220_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2e6 ].
% 83.92/84.06 apply (zenon_L222_); trivial.
% 83.92/84.06 apply (zenon_L227_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H804); [ zenon_intro zenon_H2f2 | zenon_intro zenon_H808 ].
% 83.92/84.06 apply (zenon_L231_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H808); [ zenon_intro zenon_H2ff | zenon_intro zenon_H809 ].
% 83.92/84.06 apply (zenon_L239_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H809); [ zenon_intro zenon_H315 | zenon_intro zenon_H80a ].
% 83.92/84.06 apply (zenon_L248_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H80a); [ zenon_intro zenon_H319 | zenon_intro zenon_H80b ].
% 83.92/84.06 apply (zenon_L249_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H80b); [ zenon_intro zenon_H333 | zenon_intro zenon_H80c ].
% 83.92/84.06 apply (zenon_L258_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H80c); [ zenon_intro zenon_H344 | zenon_intro zenon_H80d ].
% 83.92/84.06 apply (zenon_L267_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H80d); [ zenon_intro zenon_H37c | zenon_intro zenon_H80e ].
% 83.92/84.06 apply (zenon_L316_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H80e); [ zenon_intro zenon_H3cd | zenon_intro zenon_H80f ].
% 83.92/84.06 apply (zenon_L395_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H80f); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H810 ].
% 83.92/84.06 apply (zenon_L396_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H810); [ zenon_intro zenon_H3ff | zenon_intro zenon_H811 ].
% 83.92/84.06 apply (zenon_L431_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H811); [ zenon_intro zenon_H416 | zenon_intro zenon_H812 ].
% 83.92/84.06 apply (zenon_L438_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H812); [ zenon_intro zenon_H431 | zenon_intro zenon_H813 ].
% 83.92/84.06 apply (zenon_L489_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H813); [ zenon_intro zenon_H44a | zenon_intro zenon_H44d ].
% 83.92/84.06 apply (zenon_L505_); trivial.
% 83.92/84.06 apply (zenon_L506_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H7ff); [ zenon_intro zenon_H52c | zenon_intro zenon_H814 ].
% 83.92/84.06 apply (zenon_L631_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H814); [ zenon_intro zenon_H536 | zenon_intro zenon_H815 ].
% 83.92/84.06 apply (zenon_L637_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H815); [ zenon_intro zenon_H54e | zenon_intro zenon_H816 ].
% 83.92/84.06 apply (zenon_L650_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H816); [ zenon_intro zenon_H550 | zenon_intro zenon_H817 ].
% 83.92/84.06 apply (zenon_L651_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H817); [ zenon_intro zenon_H56b | zenon_intro zenon_H818 ].
% 83.92/84.06 apply (zenon_L678_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H818); [ zenon_intro zenon_H58a | zenon_intro zenon_H819 ].
% 83.92/84.06 apply (zenon_L721_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H819); [ zenon_intro zenon_H5b2 | zenon_intro zenon_H81a ].
% 83.92/84.06 apply (zenon_L769_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H81a); [ zenon_intro zenon_H604 | zenon_intro zenon_H81b ].
% 83.92/84.06 apply (zenon_L836_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H81b); [ zenon_intro zenon_H615 | zenon_intro zenon_H81c ].
% 83.92/84.06 apply (zenon_L837_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H81c); [ zenon_intro zenon_H634 | zenon_intro zenon_H81d ].
% 83.92/84.06 apply (zenon_L877_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H81d); [ zenon_intro zenon_H647 | zenon_intro zenon_H81e ].
% 83.92/84.06 apply (zenon_L888_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H81e); [ zenon_intro zenon_H662 | zenon_intro zenon_H81f ].
% 83.92/84.06 apply (zenon_L943_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H81f); [ zenon_intro zenon_H677 | zenon_intro zenon_H67a ].
% 83.92/84.06 apply (zenon_L965_); trivial.
% 83.92/84.06 apply (zenon_L966_); trivial.
% 83.92/84.06 apply (zenon_notand_s _ _ zenon_H829); [ zenon_intro zenon_H6f6 | zenon_intro zenon_H82a ].
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H7dd); [ zenon_intro zenon_H97 | zenon_intro zenon_H7fe ].
% 83.92/84.06 apply (zenon_L37_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H7fe); [ zenon_intro zenon_H800 | zenon_intro zenon_H7ff ].
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H800). zenon_intro zenon_H802. zenon_intro zenon_H801.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H801). zenon_intro zenon_Hba. zenon_intro zenon_H14b.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H5b3); [ zenon_intro zenon_H5b6 | zenon_intro zenon_H5b5 ].
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H5b6). zenon_intro zenon_Hb5. zenon_intro zenon_H5b7.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H5b7). zenon_intro zenon_H99. zenon_intro zenon_H5b8.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H5b8). zenon_intro zenon_H5ba. zenon_intro zenon_H5b9.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H5b9). zenon_intro zenon_H155. zenon_intro zenon_H5bb.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H7dc); [ zenon_intro zenon_H9c | zenon_intro zenon_H803 ].
% 83.92/84.06 apply (zenon_L38_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H803); [ zenon_intro zenon_H805 | zenon_intro zenon_H804 ].
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H805). zenon_intro zenon_H807. zenon_intro zenon_H806.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H806). zenon_intro zenon_H16b. zenon_intro zenon_H1c2.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H380 | zenon_intro zenon_H37f ].
% 83.92/84.06 apply (zenon_L1093_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H23c | zenon_intro zenon_H386 ].
% 83.92/84.06 apply (zenon_L150_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H388 | zenon_intro zenon_H387 ].
% 83.92/84.06 apply (zenon_L1095_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H38b | zenon_intro zenon_H38a ].
% 83.92/84.06 apply (zenon_L1097_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H38e | zenon_intro zenon_H38d ].
% 83.92/84.06 apply (zenon_L1099_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H391 | zenon_intro zenon_H390 ].
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H22a. zenon_intro zenon_H392.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H394. zenon_intro zenon_H393.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H266. zenon_intro zenon_H395.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.06 apply (zenon_L40_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.06 apply (zenon_L89_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.06 apply (zenon_L1101_); trivial.
% 83.92/84.06 apply (zenon_L143_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H275 | zenon_intro zenon_H396 ].
% 83.92/84.06 apply (zenon_L184_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H281 | zenon_intro zenon_H397 ].
% 83.92/84.06 apply (zenon_L189_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H294 | zenon_intro zenon_H398 ].
% 83.92/84.06 apply (zenon_L193_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H399 ].
% 83.92/84.06 apply (zenon_L198_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H39a ].
% 83.92/84.06 apply (zenon_L204_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H39b ].
% 83.92/84.06 apply (zenon_L206_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H39c ].
% 83.92/84.06 apply (zenon_L209_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H2ce | zenon_intro zenon_H39d ].
% 83.92/84.06 apply (zenon_L220_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2e6 ].
% 83.92/84.06 apply (zenon_L222_); trivial.
% 83.92/84.06 apply (zenon_L227_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H804); [ zenon_intro zenon_H2f2 | zenon_intro zenon_H808 ].
% 83.92/84.06 apply (zenon_L231_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H808); [ zenon_intro zenon_H2ff | zenon_intro zenon_H809 ].
% 83.92/84.06 apply (zenon_L239_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H809); [ zenon_intro zenon_H315 | zenon_intro zenon_H80a ].
% 83.92/84.06 apply (zenon_L248_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H80a); [ zenon_intro zenon_H319 | zenon_intro zenon_H80b ].
% 83.92/84.06 apply (zenon_L249_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H80b); [ zenon_intro zenon_H333 | zenon_intro zenon_H80c ].
% 83.92/84.06 apply (zenon_L258_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H80c); [ zenon_intro zenon_H344 | zenon_intro zenon_H80d ].
% 83.92/84.06 apply (zenon_L267_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H80d); [ zenon_intro zenon_H37c | zenon_intro zenon_H80e ].
% 83.92/84.06 apply (zenon_L316_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H80e); [ zenon_intro zenon_H3cd | zenon_intro zenon_H80f ].
% 83.92/84.06 apply (zenon_L395_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H80f); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H810 ].
% 83.92/84.06 apply (zenon_L396_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H810); [ zenon_intro zenon_H3ff | zenon_intro zenon_H811 ].
% 83.92/84.06 apply (zenon_L431_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H811); [ zenon_intro zenon_H416 | zenon_intro zenon_H812 ].
% 83.92/84.06 apply (zenon_L438_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H812); [ zenon_intro zenon_H431 | zenon_intro zenon_H813 ].
% 83.92/84.06 apply (zenon_L489_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H813); [ zenon_intro zenon_H44a | zenon_intro zenon_H44d ].
% 83.92/84.06 apply (zenon_L505_); trivial.
% 83.92/84.06 apply (zenon_L506_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H5b5); [ zenon_intro zenon_H456 | zenon_intro zenon_H5bc ].
% 83.92/84.06 apply (zenon_L509_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H5bc); [ zenon_intro zenon_H5be | zenon_intro zenon_H5bd ].
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H5be). zenon_intro zenon_H45b. zenon_intro zenon_H5bf.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H7dc); [ zenon_intro zenon_H9c | zenon_intro zenon_H803 ].
% 83.92/84.06 apply (zenon_L38_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H803); [ zenon_intro zenon_H805 | zenon_intro zenon_H804 ].
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H805). zenon_intro zenon_H807. zenon_intro zenon_H806.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H806). zenon_intro zenon_H16b. zenon_intro zenon_H1c2.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H380 | zenon_intro zenon_H37f ].
% 83.92/84.06 apply (zenon_L1093_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H23c | zenon_intro zenon_H386 ].
% 83.92/84.06 apply (zenon_L150_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H388 | zenon_intro zenon_H387 ].
% 83.92/84.06 apply (zenon_L1095_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H38b | zenon_intro zenon_H38a ].
% 83.92/84.06 apply (zenon_L1097_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H38e | zenon_intro zenon_H38d ].
% 83.92/84.06 apply (zenon_L1099_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H391 | zenon_intro zenon_H390 ].
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H22a. zenon_intro zenon_H392.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H394. zenon_intro zenon_H393.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H266. zenon_intro zenon_H395.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.06 apply (zenon_L40_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.06 apply (zenon_L511_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.06 apply (zenon_L1101_); trivial.
% 83.92/84.06 apply (zenon_L143_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H275 | zenon_intro zenon_H396 ].
% 83.92/84.06 apply (zenon_L184_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H281 | zenon_intro zenon_H397 ].
% 83.92/84.06 apply (zenon_L189_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H294 | zenon_intro zenon_H398 ].
% 83.92/84.06 apply (zenon_L193_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H399 ].
% 83.92/84.06 apply (zenon_L198_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H39a ].
% 83.92/84.06 apply (zenon_L204_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H39b ].
% 83.92/84.06 apply (zenon_L206_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H39c ].
% 83.92/84.06 apply (zenon_L209_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H2ce | zenon_intro zenon_H39d ].
% 83.92/84.06 apply (zenon_L220_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2e6 ].
% 83.92/84.06 apply (zenon_L222_); trivial.
% 83.92/84.06 apply (zenon_L227_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H804); [ zenon_intro zenon_H2f2 | zenon_intro zenon_H808 ].
% 83.92/84.06 apply (zenon_L231_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H808); [ zenon_intro zenon_H2ff | zenon_intro zenon_H809 ].
% 83.92/84.06 apply (zenon_L239_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H809); [ zenon_intro zenon_H315 | zenon_intro zenon_H80a ].
% 83.92/84.06 apply (zenon_L248_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H80a); [ zenon_intro zenon_H319 | zenon_intro zenon_H80b ].
% 83.92/84.06 apply (zenon_L249_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H80b); [ zenon_intro zenon_H333 | zenon_intro zenon_H80c ].
% 83.92/84.06 apply (zenon_L258_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H80c); [ zenon_intro zenon_H344 | zenon_intro zenon_H80d ].
% 83.92/84.06 apply (zenon_L267_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H80d); [ zenon_intro zenon_H37c | zenon_intro zenon_H80e ].
% 83.92/84.06 apply (zenon_L316_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H80e); [ zenon_intro zenon_H3cd | zenon_intro zenon_H80f ].
% 83.92/84.06 apply (zenon_L395_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H80f); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H810 ].
% 83.92/84.06 apply (zenon_L396_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H810); [ zenon_intro zenon_H3ff | zenon_intro zenon_H811 ].
% 83.92/84.06 apply (zenon_L431_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H811); [ zenon_intro zenon_H416 | zenon_intro zenon_H812 ].
% 83.92/84.06 apply (zenon_L438_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H812); [ zenon_intro zenon_H431 | zenon_intro zenon_H813 ].
% 83.92/84.06 apply (zenon_L489_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H813); [ zenon_intro zenon_H44a | zenon_intro zenon_H44d ].
% 83.92/84.06 apply (zenon_L505_); trivial.
% 83.92/84.06 apply (zenon_L506_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H5bd); [ zenon_intro zenon_H5c1 | zenon_intro zenon_H5c0 ].
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H5c1). zenon_intro zenon_H463. zenon_intro zenon_H5c2.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H7dc); [ zenon_intro zenon_H9c | zenon_intro zenon_H803 ].
% 83.92/84.06 apply (zenon_L38_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H803); [ zenon_intro zenon_H805 | zenon_intro zenon_H804 ].
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H805). zenon_intro zenon_H807. zenon_intro zenon_H806.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H806). zenon_intro zenon_H16b. zenon_intro zenon_H1c2.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H380 | zenon_intro zenon_H37f ].
% 83.92/84.06 apply (zenon_L1093_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H23c | zenon_intro zenon_H386 ].
% 83.92/84.06 apply (zenon_L150_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H388 | zenon_intro zenon_H387 ].
% 83.92/84.06 apply (zenon_L1095_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H38b | zenon_intro zenon_H38a ].
% 83.92/84.06 apply (zenon_L1097_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H38e | zenon_intro zenon_H38d ].
% 83.92/84.06 apply (zenon_L1099_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H391 | zenon_intro zenon_H390 ].
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H22a. zenon_intro zenon_H392.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H394. zenon_intro zenon_H393.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H266. zenon_intro zenon_H395.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.06 apply (zenon_L40_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.06 apply (zenon_L520_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.06 apply (zenon_L1101_); trivial.
% 83.92/84.06 apply (zenon_L143_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H275 | zenon_intro zenon_H396 ].
% 83.92/84.06 apply (zenon_L184_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H281 | zenon_intro zenon_H397 ].
% 83.92/84.06 apply (zenon_L189_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H294 | zenon_intro zenon_H398 ].
% 83.92/84.06 apply (zenon_L193_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H399 ].
% 83.92/84.06 apply (zenon_L198_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H39a ].
% 83.92/84.06 apply (zenon_L204_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H39b ].
% 83.92/84.06 apply (zenon_L206_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H39c ].
% 83.92/84.06 apply (zenon_L209_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H2ce | zenon_intro zenon_H39d ].
% 83.92/84.06 apply (zenon_L220_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2e6 ].
% 83.92/84.06 apply (zenon_L222_); trivial.
% 83.92/84.06 apply (zenon_L227_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H804); [ zenon_intro zenon_H2f2 | zenon_intro zenon_H808 ].
% 83.92/84.06 apply (zenon_L231_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H808); [ zenon_intro zenon_H2ff | zenon_intro zenon_H809 ].
% 83.92/84.06 apply (zenon_L239_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H809); [ zenon_intro zenon_H315 | zenon_intro zenon_H80a ].
% 83.92/84.06 apply (zenon_L248_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H80a); [ zenon_intro zenon_H319 | zenon_intro zenon_H80b ].
% 83.92/84.06 apply (zenon_L249_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H80b); [ zenon_intro zenon_H333 | zenon_intro zenon_H80c ].
% 83.92/84.06 apply (zenon_L258_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H80c); [ zenon_intro zenon_H344 | zenon_intro zenon_H80d ].
% 83.92/84.06 apply (zenon_L267_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H80d); [ zenon_intro zenon_H37c | zenon_intro zenon_H80e ].
% 83.92/84.06 apply (zenon_L316_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H80e); [ zenon_intro zenon_H3cd | zenon_intro zenon_H80f ].
% 83.92/84.06 apply (zenon_L395_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H80f); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H810 ].
% 83.92/84.06 apply (zenon_L396_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H810); [ zenon_intro zenon_H3ff | zenon_intro zenon_H811 ].
% 83.92/84.06 apply (zenon_L431_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H811); [ zenon_intro zenon_H416 | zenon_intro zenon_H812 ].
% 83.92/84.06 apply (zenon_L438_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H812); [ zenon_intro zenon_H431 | zenon_intro zenon_H813 ].
% 83.92/84.06 apply (zenon_L489_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H813); [ zenon_intro zenon_H44a | zenon_intro zenon_H44d ].
% 83.92/84.06 apply (zenon_L505_); trivial.
% 83.92/84.06 apply (zenon_L506_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H5c0); [ zenon_intro zenon_H5c4 | zenon_intro zenon_H5c3 ].
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H5c4). zenon_intro zenon_H467. zenon_intro zenon_H5c5.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H7dc); [ zenon_intro zenon_H9c | zenon_intro zenon_H803 ].
% 83.92/84.06 apply (zenon_L38_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H803); [ zenon_intro zenon_H805 | zenon_intro zenon_H804 ].
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H805). zenon_intro zenon_H807. zenon_intro zenon_H806.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H806). zenon_intro zenon_H16b. zenon_intro zenon_H1c2.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H380 | zenon_intro zenon_H37f ].
% 83.92/84.06 apply (zenon_L1093_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H23c | zenon_intro zenon_H386 ].
% 83.92/84.06 apply (zenon_L150_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H388 | zenon_intro zenon_H387 ].
% 83.92/84.06 apply (zenon_L1095_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H38b | zenon_intro zenon_H38a ].
% 83.92/84.06 apply (zenon_L1097_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H38e | zenon_intro zenon_H38d ].
% 83.92/84.06 apply (zenon_L1099_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H391 | zenon_intro zenon_H390 ].
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H22a. zenon_intro zenon_H392.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H394. zenon_intro zenon_H393.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H266. zenon_intro zenon_H395.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.06 apply (zenon_L40_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.06 apply (zenon_L522_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.06 apply (zenon_L1101_); trivial.
% 83.92/84.06 apply (zenon_L143_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H275 | zenon_intro zenon_H396 ].
% 83.92/84.06 apply (zenon_L184_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H281 | zenon_intro zenon_H397 ].
% 83.92/84.06 apply (zenon_L189_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H294 | zenon_intro zenon_H398 ].
% 83.92/84.06 apply (zenon_L193_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H399 ].
% 83.92/84.06 apply (zenon_L198_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H39a ].
% 83.92/84.06 apply (zenon_L204_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H39b ].
% 83.92/84.06 apply (zenon_L206_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H39c ].
% 83.92/84.06 apply (zenon_L209_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H2ce | zenon_intro zenon_H39d ].
% 83.92/84.06 apply (zenon_L220_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2e6 ].
% 83.92/84.06 apply (zenon_L222_); trivial.
% 83.92/84.06 apply (zenon_L227_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H804); [ zenon_intro zenon_H2f2 | zenon_intro zenon_H808 ].
% 83.92/84.06 apply (zenon_L231_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H808); [ zenon_intro zenon_H2ff | zenon_intro zenon_H809 ].
% 83.92/84.06 apply (zenon_L239_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H809); [ zenon_intro zenon_H315 | zenon_intro zenon_H80a ].
% 83.92/84.06 apply (zenon_L248_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H80a); [ zenon_intro zenon_H319 | zenon_intro zenon_H80b ].
% 83.92/84.06 apply (zenon_L249_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H80b); [ zenon_intro zenon_H333 | zenon_intro zenon_H80c ].
% 83.92/84.06 apply (zenon_L258_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H80c); [ zenon_intro zenon_H344 | zenon_intro zenon_H80d ].
% 83.92/84.06 apply (zenon_L267_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H80d); [ zenon_intro zenon_H37c | zenon_intro zenon_H80e ].
% 83.92/84.06 apply (zenon_L316_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H80e); [ zenon_intro zenon_H3cd | zenon_intro zenon_H80f ].
% 83.92/84.06 apply (zenon_L395_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H80f); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H810 ].
% 83.92/84.06 apply (zenon_L396_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H810); [ zenon_intro zenon_H3ff | zenon_intro zenon_H811 ].
% 83.92/84.06 apply (zenon_L431_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H811); [ zenon_intro zenon_H416 | zenon_intro zenon_H812 ].
% 83.92/84.06 apply (zenon_L438_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H812); [ zenon_intro zenon_H431 | zenon_intro zenon_H813 ].
% 83.92/84.06 apply (zenon_L489_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H813); [ zenon_intro zenon_H44a | zenon_intro zenon_H44d ].
% 83.92/84.06 apply (zenon_L505_); trivial.
% 83.92/84.06 apply (zenon_L506_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H5c3); [ zenon_intro zenon_H5c7 | zenon_intro zenon_H5c6 ].
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H5c7). zenon_intro zenon_H473. zenon_intro zenon_H5c8.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H5c8). zenon_intro zenon_H5ca. zenon_intro zenon_H5c9.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H5c9). zenon_intro zenon_H46d. zenon_intro zenon_H5cb.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H7dc); [ zenon_intro zenon_H9c | zenon_intro zenon_H803 ].
% 83.92/84.06 apply (zenon_L38_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H803); [ zenon_intro zenon_H805 | zenon_intro zenon_H804 ].
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H805). zenon_intro zenon_H807. zenon_intro zenon_H806.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H806). zenon_intro zenon_H16b. zenon_intro zenon_H1c2.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H37d); [ zenon_intro zenon_H380 | zenon_intro zenon_H37f ].
% 83.92/84.06 apply (zenon_L1093_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H23c | zenon_intro zenon_H386 ].
% 83.92/84.06 apply (zenon_L150_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H386); [ zenon_intro zenon_H388 | zenon_intro zenon_H387 ].
% 83.92/84.06 apply (zenon_L1095_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H387); [ zenon_intro zenon_H38b | zenon_intro zenon_H38a ].
% 83.92/84.06 apply (zenon_L1097_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H38a); [ zenon_intro zenon_H38e | zenon_intro zenon_H38d ].
% 83.92/84.06 apply (zenon_L1099_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H38d); [ zenon_intro zenon_H391 | zenon_intro zenon_H390 ].
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H391). zenon_intro zenon_H22a. zenon_intro zenon_H392.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H394. zenon_intro zenon_H393.
% 83.92/84.06 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H266. zenon_intro zenon_H395.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H48d); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H492 ].
% 83.92/84.06 apply (zenon_L40_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H492); [ zenon_intro zenon_Hab | zenon_intro zenon_H493 ].
% 83.92/84.06 apply (zenon_L526_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H493); [ zenon_intro zenon_H21d | zenon_intro zenon_H10b ].
% 83.92/84.06 apply (zenon_L1101_); trivial.
% 83.92/84.06 apply (zenon_L143_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H390); [ zenon_intro zenon_H275 | zenon_intro zenon_H396 ].
% 83.92/84.06 apply (zenon_L184_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H281 | zenon_intro zenon_H397 ].
% 83.92/84.06 apply (zenon_L189_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H294 | zenon_intro zenon_H398 ].
% 83.92/84.06 apply (zenon_L193_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H398); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H399 ].
% 83.92/84.06 apply (zenon_L198_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H399); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H39a ].
% 83.92/84.06 apply (zenon_L204_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H39a); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H39b ].
% 83.92/84.06 apply (zenon_L206_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H39c ].
% 83.92/84.06 apply (zenon_L209_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H2ce | zenon_intro zenon_H39d ].
% 83.92/84.06 apply (zenon_L220_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2e6 ].
% 83.92/84.06 apply (zenon_L222_); trivial.
% 83.92/84.06 apply (zenon_L227_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H804); [ zenon_intro zenon_H2f2 | zenon_intro zenon_H808 ].
% 83.92/84.06 apply (zenon_L231_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H808); [ zenon_intro zenon_H2ff | zenon_intro zenon_H809 ].
% 83.92/84.06 apply (zenon_L239_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H809); [ zenon_intro zenon_H315 | zenon_intro zenon_H80a ].
% 83.92/84.06 apply (zenon_L248_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H80a); [ zenon_intro zenon_H319 | zenon_intro zenon_H80b ].
% 83.92/84.06 apply (zenon_L249_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H80b); [ zenon_intro zenon_H333 | zenon_intro zenon_H80c ].
% 83.92/84.06 apply (zenon_L258_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H80c); [ zenon_intro zenon_H344 | zenon_intro zenon_H80d ].
% 83.92/84.06 apply (zenon_L267_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H80d); [ zenon_intro zenon_H37c | zenon_intro zenon_H80e ].
% 83.92/84.06 apply (zenon_L316_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H80e); [ zenon_intro zenon_H3cd | zenon_intro zenon_H80f ].
% 83.92/84.06 apply (zenon_L395_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H80f); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H810 ].
% 83.92/84.06 apply (zenon_L396_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H810); [ zenon_intro zenon_H3ff | zenon_intro zenon_H811 ].
% 83.92/84.06 apply (zenon_L431_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H811); [ zenon_intro zenon_H416 | zenon_intro zenon_H812 ].
% 83.92/84.06 apply (zenon_L438_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H812); [ zenon_intro zenon_H431 | zenon_intro zenon_H813 ].
% 83.92/84.06 apply (zenon_L489_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H813); [ zenon_intro zenon_H44a | zenon_intro zenon_H44d ].
% 83.92/84.06 apply (zenon_L505_); trivial.
% 83.92/84.06 apply (zenon_L506_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H5c6); [ zenon_intro zenon_H48c | zenon_intro zenon_H5cc ].
% 83.92/84.06 apply (zenon_L544_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H5cc); [ zenon_intro zenon_H4a3 | zenon_intro zenon_H5cd ].
% 83.92/84.06 apply (zenon_L550_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H5cd); [ zenon_intro zenon_H4b0 | zenon_intro zenon_H5ce ].
% 83.92/84.06 apply (zenon_L556_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H5ce); [ zenon_intro zenon_H4bf | zenon_intro zenon_H5cf ].
% 83.92/84.06 apply (zenon_L564_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H5cf); [ zenon_intro zenon_H4d8 | zenon_intro zenon_H5d0 ].
% 83.92/84.06 apply (zenon_L573_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H5d0); [ zenon_intro zenon_H4e4 | zenon_intro zenon_H5d1 ].
% 83.92/84.06 apply (zenon_L575_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H5d1); [ zenon_intro zenon_H4e7 | zenon_intro zenon_H5d2 ].
% 83.92/84.06 apply (zenon_L578_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H5d2); [ zenon_intro zenon_H4f0 | zenon_intro zenon_H5d3 ].
% 83.92/84.06 apply (zenon_L587_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H5d3); [ zenon_intro zenon_H4f9 | zenon_intro zenon_H521 ].
% 83.92/84.06 apply (zenon_L590_); trivial.
% 83.92/84.06 apply (zenon_L615_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H7ff); [ zenon_intro zenon_H52c | zenon_intro zenon_H814 ].
% 83.92/84.06 apply (zenon_L631_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H814); [ zenon_intro zenon_H536 | zenon_intro zenon_H815 ].
% 83.92/84.06 apply (zenon_L637_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H815); [ zenon_intro zenon_H54e | zenon_intro zenon_H816 ].
% 83.92/84.06 apply (zenon_L650_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H816); [ zenon_intro zenon_H550 | zenon_intro zenon_H817 ].
% 83.92/84.06 apply (zenon_L651_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H817); [ zenon_intro zenon_H56b | zenon_intro zenon_H818 ].
% 83.92/84.06 apply (zenon_L678_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H818); [ zenon_intro zenon_H58a | zenon_intro zenon_H819 ].
% 83.92/84.06 apply (zenon_L721_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H819); [ zenon_intro zenon_H5b2 | zenon_intro zenon_H81a ].
% 83.92/84.06 apply (zenon_L769_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H81a); [ zenon_intro zenon_H604 | zenon_intro zenon_H81b ].
% 83.92/84.06 apply (zenon_L836_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H81b); [ zenon_intro zenon_H615 | zenon_intro zenon_H81c ].
% 83.92/84.06 apply (zenon_L837_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H81c); [ zenon_intro zenon_H634 | zenon_intro zenon_H81d ].
% 83.92/84.06 apply (zenon_L877_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H81d); [ zenon_intro zenon_H647 | zenon_intro zenon_H81e ].
% 83.92/84.06 apply (zenon_L888_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H81e); [ zenon_intro zenon_H662 | zenon_intro zenon_H81f ].
% 83.92/84.06 apply (zenon_L943_); trivial.
% 83.92/84.06 apply (zenon_or_s _ _ zenon_H81f); [ zenon_intro zenon_H677 | zenon_intro zenon_H67a ].
% 83.92/84.06 apply (zenon_L965_); trivial.
% 83.92/84.06 apply (zenon_L966_); trivial.
% 83.92/84.06 apply (zenon_notand_s _ _ zenon_H82a); [ zenon_intro zenon_H82c | zenon_intro zenon_H82b ].
% 83.92/84.06 apply (zenon_notor_s _ _ zenon_H82c). zenon_intro zenon_H72. zenon_intro zenon_H82d.
% 83.92/84.06 exact (zenon_H72 zenon_H64).
% 83.92/84.06 apply (zenon_notand_s _ _ zenon_H82b); [ zenon_intro zenon_H82f | zenon_intro zenon_H82e ].
% 83.92/84.06 apply (zenon_notor_s _ _ zenon_H82f). zenon_intro zenon_H831. zenon_intro zenon_H830.
% 83.92/84.06 apply (zenon_notor_s _ _ zenon_H830). zenon_intro zenon_H1fc. zenon_intro zenon_H832.
% 83.92/84.06 apply (zenon_L130_); trivial.
% 83.92/84.06 apply (zenon_notand_s _ _ zenon_H82e); [ zenon_intro zenon_H834 | zenon_intro zenon_H833 ].
% 83.92/84.06 apply (zenon_notor_s _ _ zenon_H834). zenon_intro zenon_H836. zenon_intro zenon_H835.
% 83.92/84.06 apply (zenon_notor_s _ _ zenon_H835). zenon_intro zenon_H838. zenon_intro zenon_H837.
% 83.92/84.06 apply (zenon_notor_s _ _ zenon_H837). zenon_intro zenon_H68a. zenon_intro zenon_H839.
% 83.92/84.06 apply (zenon_L978_); trivial.
% 83.92/84.06 apply (zenon_notor_s _ _ zenon_H833). zenon_intro zenon_H83b. zenon_intro zenon_H83a.
% 83.92/84.06 apply (zenon_notor_s _ _ zenon_H83a). zenon_intro zenon_H83d. zenon_intro zenon_H83c.
% 83.92/84.06 apply (zenon_notor_s _ _ zenon_H83c). zenon_intro zenon_H83e. zenon_intro zenon_H5b.
% 83.92/84.06 apply (zenon_L23_); trivial.
% 83.92/84.06 Qed.
% 83.92/84.06 % SZS output end Proof
% 83.92/84.06 (* END-PROOF *)
% 83.92/84.06 nodes searched: 2533464
% 83.92/84.06 max branch formulas: 2241
% 83.92/84.06 proof nodes created: 45533
% 83.92/84.06 formulas created: 1765836
% 83.92/84.06
%------------------------------------------------------------------------------